TSTP Solution File: SWV118+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV118+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Thu Aug 31 22:31:12 EDT 2023
% Result : Theorem 107.26s 15.29s
% Output : CNFRefutation 107.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 46
% Syntax : Number of formulae : 397 ( 14 unt; 0 def)
% Number of atoms : 2886 ( 394 equ)
% Maximal formula atoms : 136 ( 7 avg)
% Number of connectives : 3506 (1017 ~;1375 |; 975 &)
% ( 1 <=>; 138 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 25 ( 23 usr; 20 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 42 con; 0-4 aty)
% Number of variables : 778 ( 46 sgn; 388 !; 232 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f25,axiom,
! [X13,X17,X3,X19,X20,X21,X14,X18] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X21,X4,X10) = a_select3(X21,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X19,X4,X10) = a_select3(X19,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X4,X10) = a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f53,conjecture,
( ( ! [X27] :
( ( leq(X27,minus(n6,n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_ds1_filter,X28,X27) ) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> ! [X55] :
( ( leq(X55,minus(n6,n1))
& leq(n0,X55) )
=> a_select3(id_ds1_filter,X9,X55) = a_select3(id_ds1_filter,X55,X9) ) )
& ! [X53,X54] :
( ( leq(X54,minus(n6,n1))
& leq(X53,minus(n6,n1))
& leq(n0,X54)
& leq(n0,X53) )
=> 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))))))),X53,X54) = 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))))))),X54,X53) )
& ! [X51,X52] :
( ( leq(X52,minus(n6,n1))
& leq(X51,minus(n6,n1))
& leq(n0,X52)
& leq(n0,X51) )
=> 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))))))),X51,X52) = 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))))))),X52,X51) )
& ! [X49,X50] :
( ( leq(X50,minus(n3,n1))
& leq(X49,minus(n3,n1))
& leq(n0,X50)
& leq(n0,X49) )
=> a_select3(r_ds1_filter,X49,X50) = a_select3(r_ds1_filter,X50,X49) )
& ! [X47,X48] :
( ( leq(X48,minus(n6,n1))
& leq(X47,minus(n6,n1))
& leq(n0,X48)
& leq(n0,X47) )
=> a_select3(q_ds1_filter,X47,X48) = a_select3(q_ds1_filter,X48,X47) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X46] :
( ( leq(X46,minus(n6,n1))
& leq(n0,X46) )
=> ! [X8] :
( ( leq(X8,minus(n6,n1))
& leq(n0,X8) )
=> a_select3(id_ds1_filter,X46,X8) = a_select3(id_ds1_filter,X8,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)
=> ( ( 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) ) )
& ! [X1,X2] :
( ( leq(X2,minus(n6,n1))
& leq(X1,minus(n6,n1))
& leq(n0,X2)
& leq(n0,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,X2) = 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)))),X2,X1) )
& ! [X35,X0] :
( ( leq(X0,minus(n6,n1))
& leq(X35,minus(n6,n1))
& leq(n0,X0)
& leq(n0,X35) )
=> 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)))),X35,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,X35) )
& ! [X6,X23] :
( ( leq(X23,minus(n3,n1))
& leq(X6,minus(n3,n1))
& leq(n0,X23)
& leq(n0,X6) )
=> a_select3(r_ds1_filter,X6,X23) = a_select3(r_ds1_filter,X23,X6) )
& ! [X33,X34] :
( ( leq(X34,minus(n6,n1))
& leq(X33,minus(n6,n1))
& leq(n0,X34)
& leq(n0,X33) )
=> a_select3(q_ds1_filter,X33,X34) = a_select3(q_ds1_filter,X34,X33) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X31] :
( ( leq(X31,minus(n6,n1))
& leq(n0,X31) )
=> ! [X32] :
( ( leq(X32,minus(n6,n1))
& leq(n0,X32) )
=> a_select3(id_ds1_filter,X31,X32) = a_select3(id_ds1_filter,X32,X31) ) )
& ! [X29,X30] :
( ( leq(X30,minus(n6,n1))
& leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29) )
=> 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)))),X29,X30) = 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)))),X30,X29) )
& ! [X18,X14] :
( ( leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> 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)))),X18,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,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(X15,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0011) ).
fof(f54,negated_conjecture,
~ ( ( ! [X27] :
( ( leq(X27,minus(n6,n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_ds1_filter,X28,X27) ) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> ! [X55] :
( ( leq(X55,minus(n6,n1))
& leq(n0,X55) )
=> a_select3(id_ds1_filter,X9,X55) = a_select3(id_ds1_filter,X55,X9) ) )
& ! [X53,X54] :
( ( leq(X54,minus(n6,n1))
& leq(X53,minus(n6,n1))
& leq(n0,X54)
& leq(n0,X53) )
=> 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))))))),X53,X54) = 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))))))),X54,X53) )
& ! [X51,X52] :
( ( leq(X52,minus(n6,n1))
& leq(X51,minus(n6,n1))
& leq(n0,X52)
& leq(n0,X51) )
=> 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))))))),X51,X52) = 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))))))),X52,X51) )
& ! [X49,X50] :
( ( leq(X50,minus(n3,n1))
& leq(X49,minus(n3,n1))
& leq(n0,X50)
& leq(n0,X49) )
=> a_select3(r_ds1_filter,X49,X50) = a_select3(r_ds1_filter,X50,X49) )
& ! [X47,X48] :
( ( leq(X48,minus(n6,n1))
& leq(X47,minus(n6,n1))
& leq(n0,X48)
& leq(n0,X47) )
=> a_select3(q_ds1_filter,X47,X48) = a_select3(q_ds1_filter,X48,X47) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X46] :
( ( leq(X46,minus(n6,n1))
& leq(n0,X46) )
=> ! [X8] :
( ( leq(X8,minus(n6,n1))
& leq(n0,X8) )
=> a_select3(id_ds1_filter,X46,X8) = a_select3(id_ds1_filter,X8,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)
=> ( ( 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) ) )
& ! [X1,X2] :
( ( leq(X2,minus(n6,n1))
& leq(X1,minus(n6,n1))
& leq(n0,X2)
& leq(n0,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,X2) = 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)))),X2,X1) )
& ! [X35,X0] :
( ( leq(X0,minus(n6,n1))
& leq(X35,minus(n6,n1))
& leq(n0,X0)
& leq(n0,X35) )
=> 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)))),X35,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,X35) )
& ! [X6,X23] :
( ( leq(X23,minus(n3,n1))
& leq(X6,minus(n3,n1))
& leq(n0,X23)
& leq(n0,X6) )
=> a_select3(r_ds1_filter,X6,X23) = a_select3(r_ds1_filter,X23,X6) )
& ! [X33,X34] :
( ( leq(X34,minus(n6,n1))
& leq(X33,minus(n6,n1))
& leq(n0,X34)
& leq(n0,X33) )
=> a_select3(q_ds1_filter,X33,X34) = a_select3(q_ds1_filter,X34,X33) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X31] :
( ( leq(X31,minus(n6,n1))
& leq(n0,X31) )
=> ! [X32] :
( ( leq(X32,minus(n6,n1))
& leq(n0,X32) )
=> a_select3(id_ds1_filter,X31,X32) = a_select3(id_ds1_filter,X32,X31) ) )
& ! [X29,X30] :
( ( leq(X30,minus(n6,n1))
& leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29) )
=> 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)))),X29,X30) = 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)))),X30,X29) )
& ! [X18,X14] :
( ( leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> 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)))),X18,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,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(X15,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f81,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f124,plain,
! [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) )
& ! [X10,X11] :
( ( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
=> a_select3(X3,X12,X13) = a_select3(X3,X13,X12) ) )
=> ! [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(f133,plain,
~ ( ( ! [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) ) )
& ! [X2,X3] :
( ( leq(X3,minus(n6,n1))
& leq(X2,minus(n6,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2) )
& ! [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) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [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) ) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> 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))))))),X10,X11) = 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))))))),X11,X10) )
& ! [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(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))))))),X12,X13) = 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))))))),X13,X12) )
& ! [X14,X15] :
( ( leq(X15,minus(n3,n1))
& leq(X14,minus(n3,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(r_ds1_filter,X14,X15) = a_select3(r_ds1_filter,X15,X14) )
& ! [X16,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
=> a_select3(q_ds1_filter,X16,X17) = a_select3(q_ds1_filter,X17,X16) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X18] :
( ( leq(X18,minus(n6,n1))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,minus(n6,n1))
& leq(n0,X19) )
=> a_select3(id_ds1_filter,X18,X19) = a_select3(id_ds1_filter,X19,X18) ) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> 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))))))),X20,X21) = 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))))))),X21,X20) )
& ! [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(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))))))),X22,X23) = 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))))))),X23,X22) )
& ! [X24,X25] :
( ( leq(X25,minus(n3,n1))
& leq(X24,minus(n3,n1))
& leq(n0,X25)
& leq(n0,X24) )
=> a_select3(r_ds1_filter,X24,X25) = a_select3(r_ds1_filter,X25,X24) )
& ! [X26,X27] :
( ( leq(X27,minus(n6,n1))
& leq(X26,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X26) )
=> a_select3(q_ds1_filter,X26,X27) = a_select3(q_ds1_filter,X27,X26) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28) )
=> ! [X29] :
( ( leq(X29,minus(n6,n1))
& leq(n0,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X30,X31] :
( ( leq(X31,minus(n6,n1))
& leq(X30,minus(n6,n1))
& leq(n0,X31)
& leq(n0,X30) )
=> 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)))),X30,X31) = 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)))),X31,X30) )
& ! [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(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)))),X32,X33) = 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)))),X33,X32) )
& ! [X34,X35] :
( ( leq(X35,minus(n3,n1))
& leq(X34,minus(n3,n1))
& leq(n0,X35)
& leq(n0,X34) )
=> a_select3(r_ds1_filter,X34,X35) = a_select3(r_ds1_filter,X35,X34) )
& ! [X36,X37] :
( ( leq(X37,minus(n6,n1))
& leq(X36,minus(n6,n1))
& leq(n0,X37)
& leq(n0,X36) )
=> a_select3(q_ds1_filter,X36,X37) = a_select3(q_ds1_filter,X37,X36) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X38] :
( ( leq(X38,minus(n6,n1))
& leq(n0,X38) )
=> ! [X39] :
( ( leq(X39,minus(n6,n1))
& leq(n0,X39) )
=> a_select3(id_ds1_filter,X38,X39) = a_select3(id_ds1_filter,X39,X38) ) )
& ! [X40,X41] :
( ( leq(X41,minus(n6,n1))
& leq(X40,minus(n6,n1))
& leq(n0,X41)
& leq(n0,X40) )
=> 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)))),X40,X41) = 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)))),X41,X40) )
& ! [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(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)))),X42,X43) = 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)))),X43,X42) )
& ! [X44,X45] :
( ( leq(X45,minus(n3,n1))
& leq(X44,minus(n3,n1))
& leq(n0,X45)
& leq(n0,X44) )
=> a_select3(r_ds1_filter,X44,X45) = a_select3(r_ds1_filter,X45,X44) )
& ! [X46,X47] :
( ( leq(X47,minus(n6,n1))
& leq(X46,minus(n6,n1))
& leq(n0,X47)
& leq(n0,X46) )
=> a_select3(q_ds1_filter,X46,X47) = a_select3(q_ds1_filter,X47,X46) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) ) ) ),
inference(rectify,[],[f54]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f137]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [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)))),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)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [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)))),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)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(flattening,[],[f163]) ).
fof(f175,plain,
( ( ( ( ( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| ? [X10,X11] :
( 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))))))),X10,X11) != 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))))))),X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( 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))))))),X12,X13) != 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))))))),X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(r_ds1_filter,X14,X15) != a_select3(r_ds1_filter,X15,X14)
& leq(X15,minus(n3,n1))
& leq(X14,minus(n3,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( a_select3(q_ds1_filter,X16,X17) != a_select3(q_ds1_filter,X17,X16)
& leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| ( ( ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(n0,X19) )
& leq(X18,minus(n6,n1))
& leq(n0,X18) )
| ? [X20,X21] :
( 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))))))),X20,X21) != 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))))))),X21,X20)
& leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
| ? [X22,X23] :
( 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))))))),X22,X23) != 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))))))),X23,X22)
& leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22) )
| ? [X24,X25] :
( a_select3(r_ds1_filter,X24,X25) != a_select3(r_ds1_filter,X25,X24)
& leq(X25,minus(n3,n1))
& leq(X24,minus(n3,n1))
& leq(n0,X25)
& leq(n0,X24) )
| ? [X26,X27] :
( a_select3(q_ds1_filter,X26,X27) != a_select3(q_ds1_filter,X27,X26)
& leq(X27,minus(n6,n1))
& leq(X26,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X26) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) ) )
& gt(pv5,n0) )
| ( ( ( ( ? [X28] :
( ? [X29] :
( a_select3(id_ds1_filter,X28,X29) != a_select3(id_ds1_filter,X29,X28)
& leq(X29,minus(n6,n1))
& leq(n0,X29) )
& leq(X28,minus(n6,n1))
& leq(n0,X28) )
| ? [X30,X31] :
( 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)))),X30,X31) != 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)))),X31,X30)
& leq(X31,minus(n6,n1))
& leq(X30,minus(n6,n1))
& leq(n0,X31)
& leq(n0,X30) )
| ? [X32,X33] :
( 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)))),X32,X33) != 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)))),X33,X32)
& leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32) )
| ? [X34,X35] :
( a_select3(r_ds1_filter,X34,X35) != a_select3(r_ds1_filter,X35,X34)
& leq(X35,minus(n3,n1))
& leq(X34,minus(n3,n1))
& leq(n0,X35)
& leq(n0,X34) )
| ? [X36,X37] :
( a_select3(q_ds1_filter,X36,X37) != a_select3(q_ds1_filter,X37,X36)
& leq(X37,minus(n6,n1))
& leq(X36,minus(n6,n1))
& leq(n0,X37)
& leq(n0,X36) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| ( ( ? [X38] :
( ? [X39] :
( a_select3(id_ds1_filter,X38,X39) != a_select3(id_ds1_filter,X39,X38)
& leq(X39,minus(n6,n1))
& leq(n0,X39) )
& leq(X38,minus(n6,n1))
& leq(n0,X38) )
| ? [X40,X41] :
( 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)))),X40,X41) != 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)))),X41,X40)
& leq(X41,minus(n6,n1))
& leq(X40,minus(n6,n1))
& leq(n0,X41)
& leq(n0,X40) )
| ? [X42,X43] :
( 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)))),X42,X43) != 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)))),X43,X42)
& leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42) )
| ? [X44,X45] :
( a_select3(r_ds1_filter,X44,X45) != a_select3(r_ds1_filter,X45,X44)
& leq(X45,minus(n3,n1))
& leq(X44,minus(n3,n1))
& leq(n0,X45)
& leq(n0,X44) )
| ? [X46,X47] :
( a_select3(q_ds1_filter,X46,X47) != a_select3(q_ds1_filter,X47,X46)
& leq(X47,minus(n6,n1))
& leq(X46,minus(n6,n1))
& leq(n0,X47)
& leq(n0,X46) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(ennf_transformation,[],[f133]) ).
fof(f176,plain,
( ( ( ( ( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| ? [X10,X11] :
( 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))))))),X10,X11) != 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))))))),X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( 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))))))),X12,X13) != 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))))))),X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(r_ds1_filter,X14,X15) != a_select3(r_ds1_filter,X15,X14)
& leq(X15,minus(n3,n1))
& leq(X14,minus(n3,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( a_select3(q_ds1_filter,X16,X17) != a_select3(q_ds1_filter,X17,X16)
& leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| ( ( ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(n0,X19) )
& leq(X18,minus(n6,n1))
& leq(n0,X18) )
| ? [X20,X21] :
( 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))))))),X20,X21) != 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))))))),X21,X20)
& leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
| ? [X22,X23] :
( 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))))))),X22,X23) != 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))))))),X23,X22)
& leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22) )
| ? [X24,X25] :
( a_select3(r_ds1_filter,X24,X25) != a_select3(r_ds1_filter,X25,X24)
& leq(X25,minus(n3,n1))
& leq(X24,minus(n3,n1))
& leq(n0,X25)
& leq(n0,X24) )
| ? [X26,X27] :
( a_select3(q_ds1_filter,X26,X27) != a_select3(q_ds1_filter,X27,X26)
& leq(X27,minus(n6,n1))
& leq(X26,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X26) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) ) )
& gt(pv5,n0) )
| ( ( ( ( ? [X28] :
( ? [X29] :
( a_select3(id_ds1_filter,X28,X29) != a_select3(id_ds1_filter,X29,X28)
& leq(X29,minus(n6,n1))
& leq(n0,X29) )
& leq(X28,minus(n6,n1))
& leq(n0,X28) )
| ? [X30,X31] :
( 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)))),X30,X31) != 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)))),X31,X30)
& leq(X31,minus(n6,n1))
& leq(X30,minus(n6,n1))
& leq(n0,X31)
& leq(n0,X30) )
| ? [X32,X33] :
( 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)))),X32,X33) != 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)))),X33,X32)
& leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32) )
| ? [X34,X35] :
( a_select3(r_ds1_filter,X34,X35) != a_select3(r_ds1_filter,X35,X34)
& leq(X35,minus(n3,n1))
& leq(X34,minus(n3,n1))
& leq(n0,X35)
& leq(n0,X34) )
| ? [X36,X37] :
( a_select3(q_ds1_filter,X36,X37) != a_select3(q_ds1_filter,X37,X36)
& leq(X37,minus(n6,n1))
& leq(X36,minus(n6,n1))
& leq(n0,X37)
& leq(n0,X36) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| ( ( ? [X38] :
( ? [X39] :
( a_select3(id_ds1_filter,X38,X39) != a_select3(id_ds1_filter,X39,X38)
& leq(X39,minus(n6,n1))
& leq(n0,X39) )
& leq(X38,minus(n6,n1))
& leq(n0,X38) )
| ? [X40,X41] :
( 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)))),X40,X41) != 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)))),X41,X40)
& leq(X41,minus(n6,n1))
& leq(X40,minus(n6,n1))
& leq(n0,X41)
& leq(n0,X40) )
| ? [X42,X43] :
( 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)))),X42,X43) != 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)))),X43,X42)
& leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42) )
| ? [X44,X45] :
( a_select3(r_ds1_filter,X44,X45) != a_select3(r_ds1_filter,X45,X44)
& leq(X45,minus(n3,n1))
& leq(X44,minus(n3,n1))
& leq(n0,X45)
& leq(n0,X44) )
| ? [X46,X47] :
( a_select3(q_ds1_filter,X46,X47) != a_select3(q_ds1_filter,X47,X46)
& leq(X47,minus(n6,n1))
& leq(X46,minus(n6,n1))
& leq(n0,X47)
& leq(n0,X46) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(flattening,[],[f175]) ).
fof(f195,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP2(X3,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f196,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP3(X0,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [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)))),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)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(definition_folding,[],[f164,f196,f195]) ).
fof(f198,plain,
( ? [X46,X47] :
( a_select3(q_ds1_filter,X46,X47) != a_select3(q_ds1_filter,X47,X46)
& leq(X47,minus(n6,n1))
& leq(X46,minus(n6,n1))
& leq(n0,X47)
& leq(n0,X46) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f199,plain,
( ? [X44,X45] :
( a_select3(r_ds1_filter,X44,X45) != a_select3(r_ds1_filter,X45,X44)
& leq(X45,minus(n3,n1))
& leq(X44,minus(n3,n1))
& leq(n0,X45)
& leq(n0,X44) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f200,plain,
( ? [X42,X43] :
( 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)))),X42,X43) != 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)))),X43,X42)
& leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f201,plain,
( ? [X40,X41] :
( 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)))),X40,X41) != 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)))),X41,X40)
& leq(X41,minus(n6,n1))
& leq(X40,minus(n6,n1))
& leq(n0,X41)
& leq(n0,X40) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f202,plain,
( ? [X36,X37] :
( a_select3(q_ds1_filter,X36,X37) != a_select3(q_ds1_filter,X37,X36)
& leq(X37,minus(n6,n1))
& leq(X36,minus(n6,n1))
& leq(n0,X37)
& leq(n0,X36) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f203,plain,
( ? [X34,X35] :
( a_select3(r_ds1_filter,X34,X35) != a_select3(r_ds1_filter,X35,X34)
& leq(X35,minus(n3,n1))
& leq(X34,minus(n3,n1))
& leq(n0,X35)
& leq(n0,X34) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f204,plain,
( ? [X32,X33] :
( 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)))),X32,X33) != 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)))),X33,X32)
& leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f205,plain,
( ? [X30,X31] :
( 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)))),X30,X31) != 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)))),X31,X30)
& leq(X31,minus(n6,n1))
& leq(X30,minus(n6,n1))
& leq(n0,X31)
& leq(n0,X30) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f206,plain,
( ( ( ? [X38] :
( ? [X39] :
( a_select3(id_ds1_filter,X38,X39) != a_select3(id_ds1_filter,X39,X38)
& leq(X39,minus(n6,n1))
& leq(n0,X39) )
& leq(X38,minus(n6,n1))
& leq(n0,X38) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f207,plain,
( ? [X26,X27] :
( a_select3(q_ds1_filter,X26,X27) != a_select3(q_ds1_filter,X27,X26)
& leq(X27,minus(n6,n1))
& leq(X26,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X26) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f208,plain,
( ? [X24,X25] :
( a_select3(r_ds1_filter,X24,X25) != a_select3(r_ds1_filter,X25,X24)
& leq(X25,minus(n3,n1))
& leq(X24,minus(n3,n1))
& leq(n0,X25)
& leq(n0,X24) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f209,plain,
( ? [X22,X23] :
( 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))))))),X22,X23) != 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))))))),X23,X22)
& leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f210,plain,
( ? [X20,X21] :
( 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))))))),X20,X21) != 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))))))),X21,X20)
& leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f211,plain,
( ? [X16,X17] :
( a_select3(q_ds1_filter,X16,X17) != a_select3(q_ds1_filter,X17,X16)
& leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f212,plain,
( ? [X14,X15] :
( a_select3(r_ds1_filter,X14,X15) != a_select3(r_ds1_filter,X15,X14)
& leq(X15,minus(n3,n1))
& leq(X14,minus(n3,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f213,plain,
( ? [X12,X13] :
( 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))))))),X12,X13) != 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))))))),X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f214,plain,
( ? [X10,X11] :
( 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))))))),X10,X11) != 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))))))),X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f215,plain,
( ( ( ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(n0,X19) )
& leq(X18,minus(n6,n1))
& leq(n0,X18) )
| sP16
| sP15
| sP14
| sP13
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f216,plain,
( ( ( ( ( ? [X28] :
( ? [X29] :
( a_select3(id_ds1_filter,X28,X29) != a_select3(id_ds1_filter,X29,X28)
& leq(X29,minus(n6,n1))
& leq(n0,X29) )
& leq(X28,minus(n6,n1))
& leq(n0,X28) )
| sP11
| sP10
| sP9
| sP8
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| sP12 )
& ~ gt(pv5,n0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f217,plain,
( ( ( ( ( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| sP21 )
& gt(pv5,n0) )
| sP22 )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(definition_folding,[],[f176,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198]) ).
fof(f218,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f249,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP3(X0,X6) ),
inference(nnf_transformation,[],[f196]) ).
fof(f250,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f249]) ).
fof(f251,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK41(X0,X1),sK42(X0,X1)) != a_select3(X0,sK42(X0,X1),sK41(X0,X1))
& leq(sK42(X0,X1),X1)
& leq(n0,sK42(X0,X1))
& leq(sK41(X0,X1),X1)
& leq(n0,sK41(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
! [X0,X1] :
( ( a_select3(X0,sK41(X0,X1),sK42(X0,X1)) != a_select3(X0,sK42(X0,X1),sK41(X0,X1))
& leq(sK42(X0,X1),X1)
& leq(n0,sK42(X0,X1))
& leq(sK41(X0,X1),X1)
& leq(n0,sK41(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42])],[f250,f251]) ).
fof(f253,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP2(X3,X7) ),
inference(nnf_transformation,[],[f195]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f253]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK43(X0,X1),sK44(X0,X1)) != a_select3(X0,sK44(X0,X1),sK43(X0,X1))
& leq(sK44(X0,X1),X1)
& leq(n0,sK44(X0,X1))
& leq(sK43(X0,X1),X1)
& leq(n0,sK43(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
! [X0,X1] :
( ( a_select3(X0,sK43(X0,X1),sK44(X0,X1)) != a_select3(X0,sK44(X0,X1),sK43(X0,X1))
& leq(sK44(X0,X1),X1)
& leq(n0,sK44(X0,X1))
& leq(sK43(X0,X1),X1)
& leq(n0,sK43(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f254,f255]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [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)))),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)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X5,X10,X11) != a_select3(X5,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(rectify,[],[f197]) ).
fof(f258,plain,
! [X5,X6] :
( ? [X10,X11] :
( a_select3(X5,X10,X11) != a_select3(X5,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> ( a_select3(X5,sK45(X5,X6),sK46(X5,X6)) != a_select3(X5,sK46(X5,X6),sK45(X5,X6))
& leq(sK46(X5,X6),X6)
& leq(n0,sK46(X5,X6))
& leq(sK45(X5,X6),X6)
& leq(n0,sK45(X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [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)))),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)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| ( a_select3(X5,sK45(X5,X6),sK46(X5,X6)) != a_select3(X5,sK46(X5,X6),sK45(X5,X6))
& leq(sK46(X5,X6),X6)
& leq(n0,sK46(X5,X6))
& leq(sK45(X5,X6),X6)
& leq(n0,sK45(X5,X6)) )
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46])],[f257,f258]) ).
fof(f265,plain,
( ( ( ( ( ? [X28] :
( ? [X29] :
( a_select3(id_ds1_filter,X28,X29) != a_select3(id_ds1_filter,X29,X28)
& leq(X29,minus(n6,n1))
& leq(n0,X29) )
& leq(X28,minus(n6,n1))
& leq(n0,X28) )
| sP11
| sP10
| sP9
| sP8
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| sP12 )
& ~ gt(pv5,n0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f216]) ).
fof(f266,plain,
( ( ( ( ( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
| sP11
| sP10
| sP9
| sP8
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| sP12 )
& ~ gt(pv5,n0) )
| ~ sP22 ),
inference(rectify,[],[f265]) ).
fof(f267,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
=> ( ? [X1] :
( a_select3(id_ds1_filter,sK50,X1) != a_select3(id_ds1_filter,X1,sK50)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK50,minus(n6,n1))
& leq(n0,sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f268,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK50,X1) != a_select3(id_ds1_filter,X1,sK50)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK50,sK51) != a_select3(id_ds1_filter,sK51,sK50)
& leq(sK51,minus(n6,n1))
& leq(n0,sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f269,plain,
( ( ( ( ( ( a_select3(id_ds1_filter,sK50,sK51) != a_select3(id_ds1_filter,sK51,sK50)
& leq(sK51,minus(n6,n1))
& leq(n0,sK51)
& leq(sK50,minus(n6,n1))
& leq(n0,sK50) )
| sP11
| sP10
| sP9
| sP8
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| sP12 )
& ~ gt(pv5,n0) )
| ~ sP22 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51])],[f266,f268,f267]) ).
fof(f270,plain,
( ( ( ? [X18] :
( ? [X19] :
( a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(n0,X19) )
& leq(X18,minus(n6,n1))
& leq(n0,X18) )
| sP16
| sP15
| sP14
| sP13
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f215]) ).
fof(f271,plain,
( ( ( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
| sP16
| sP15
| sP14
| sP13
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP21 ),
inference(rectify,[],[f270]) ).
fof(f272,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
=> ( ? [X1] :
( a_select3(id_ds1_filter,sK52,X1) != a_select3(id_ds1_filter,X1,sK52)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK52,minus(n6,n1))
& leq(n0,sK52) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK52,X1) != a_select3(id_ds1_filter,X1,sK52)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK52,sK53) != a_select3(id_ds1_filter,sK53,sK52)
& leq(sK53,minus(n6,n1))
& leq(n0,sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f274,plain,
( ( ( ( a_select3(id_ds1_filter,sK52,sK53) != a_select3(id_ds1_filter,sK53,sK52)
& leq(sK53,minus(n6,n1))
& leq(n0,sK53)
& leq(sK52,minus(n6,n1))
& leq(n0,sK52) )
| sP16
| sP15
| sP14
| sP13
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP21 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f271,f273,f272]) ).
fof(f275,plain,
( ? [X10,X11] :
( 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))))))),X10,X11) != 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))))))),X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP20 ),
inference(nnf_transformation,[],[f214]) ).
fof(f276,plain,
( ? [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))))))),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)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP20 ),
inference(rectify,[],[f275]) ).
fof(f277,plain,
( ? [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))))))),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)
& 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))))))),sK54,sK55) != 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))))))),sK55,sK54)
& leq(sK55,minus(n6,n1))
& leq(sK54,minus(n6,n1))
& leq(n0,sK55)
& leq(n0,sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
( ( 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))))))),sK54,sK55) != 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))))))),sK55,sK54)
& leq(sK55,minus(n6,n1))
& leq(sK54,minus(n6,n1))
& leq(n0,sK55)
& leq(n0,sK54) )
| ~ sP20 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55])],[f276,f277]) ).
fof(f279,plain,
( ? [X12,X13] :
( 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))))))),X12,X13) != 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))))))),X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP19 ),
inference(nnf_transformation,[],[f213]) ).
fof(f280,plain,
( ? [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))))))),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)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP19 ),
inference(rectify,[],[f279]) ).
fof(f281,plain,
( ? [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))))))),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)
& 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))))))),sK56,sK57) != 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))))))),sK57,sK56)
& leq(sK57,minus(n6,n1))
& leq(sK56,minus(n6,n1))
& leq(n0,sK57)
& leq(n0,sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
( ( 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))))))),sK56,sK57) != 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))))))),sK57,sK56)
& leq(sK57,minus(n6,n1))
& leq(sK56,minus(n6,n1))
& leq(n0,sK57)
& leq(n0,sK56) )
| ~ sP19 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57])],[f280,f281]) ).
fof(f283,plain,
( ? [X14,X15] :
( a_select3(r_ds1_filter,X14,X15) != a_select3(r_ds1_filter,X15,X14)
& leq(X15,minus(n3,n1))
& leq(X14,minus(n3,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP18 ),
inference(nnf_transformation,[],[f212]) ).
fof(f284,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP18 ),
inference(rectify,[],[f283]) ).
fof(f285,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(r_ds1_filter,sK58,sK59) != a_select3(r_ds1_filter,sK59,sK58)
& leq(sK59,minus(n3,n1))
& leq(sK58,minus(n3,n1))
& leq(n0,sK59)
& leq(n0,sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
( ( a_select3(r_ds1_filter,sK58,sK59) != a_select3(r_ds1_filter,sK59,sK58)
& leq(sK59,minus(n3,n1))
& leq(sK58,minus(n3,n1))
& leq(n0,sK59)
& leq(n0,sK58) )
| ~ sP18 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59])],[f284,f285]) ).
fof(f287,plain,
( ? [X16,X17] :
( a_select3(q_ds1_filter,X16,X17) != a_select3(q_ds1_filter,X17,X16)
& leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP17 ),
inference(nnf_transformation,[],[f211]) ).
fof(f288,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP17 ),
inference(rectify,[],[f287]) ).
fof(f289,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(q_ds1_filter,sK60,sK61) != a_select3(q_ds1_filter,sK61,sK60)
& leq(sK61,minus(n6,n1))
& leq(sK60,minus(n6,n1))
& leq(n0,sK61)
& leq(n0,sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
( ( a_select3(q_ds1_filter,sK60,sK61) != a_select3(q_ds1_filter,sK61,sK60)
& leq(sK61,minus(n6,n1))
& leq(sK60,minus(n6,n1))
& leq(n0,sK61)
& leq(n0,sK60) )
| ~ sP17 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60,sK61])],[f288,f289]) ).
fof(f307,plain,
( ( ( ? [X38] :
( ? [X39] :
( a_select3(id_ds1_filter,X38,X39) != a_select3(id_ds1_filter,X39,X38)
& leq(X39,minus(n6,n1))
& leq(n0,X39) )
& leq(X38,minus(n6,n1))
& leq(n0,X38) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f206]) ).
fof(f308,plain,
( ( ( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP12 ),
inference(rectify,[],[f307]) ).
fof(f309,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
=> ( ? [X1] :
( a_select3(id_ds1_filter,sK70,X1) != a_select3(id_ds1_filter,X1,sK70)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK70,minus(n6,n1))
& leq(n0,sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK70,X1) != a_select3(id_ds1_filter,X1,sK70)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK70,sK71) != a_select3(id_ds1_filter,sK71,sK70)
& leq(sK71,minus(n6,n1))
& leq(n0,sK71) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
( ( ( ( a_select3(id_ds1_filter,sK70,sK71) != a_select3(id_ds1_filter,sK71,sK70)
& leq(sK71,minus(n6,n1))
& leq(n0,sK71)
& leq(sK70,minus(n6,n1))
& leq(n0,sK70) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ~ gt(pv5,n0) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f308,f310,f309]) ).
fof(f328,plain,
( ? [X40,X41] :
( 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)))),X40,X41) != 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)))),X41,X40)
& leq(X41,minus(n6,n1))
& leq(X40,minus(n6,n1))
& leq(n0,X41)
& leq(n0,X40) )
| ~ sP7 ),
inference(nnf_transformation,[],[f201]) ).
fof(f329,plain,
( ? [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)))),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)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP7 ),
inference(rectify,[],[f328]) ).
fof(f330,plain,
( ? [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)))),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)
& 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)))),sK80,sK81) != 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)))),sK81,sK80)
& leq(sK81,minus(n6,n1))
& leq(sK80,minus(n6,n1))
& leq(n0,sK81)
& leq(n0,sK80) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
( ( 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)))),sK80,sK81) != 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)))),sK81,sK80)
& leq(sK81,minus(n6,n1))
& leq(sK80,minus(n6,n1))
& leq(n0,sK81)
& leq(n0,sK80) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK80,sK81])],[f329,f330]) ).
fof(f332,plain,
( ? [X42,X43] :
( 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)))),X42,X43) != 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)))),X43,X42)
& leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42) )
| ~ sP6 ),
inference(nnf_transformation,[],[f200]) ).
fof(f333,plain,
( ? [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)))),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)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP6 ),
inference(rectify,[],[f332]) ).
fof(f334,plain,
( ? [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)))),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)
& 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)))),sK82,sK83) != 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)))),sK83,sK82)
& leq(sK83,minus(n6,n1))
& leq(sK82,minus(n6,n1))
& leq(n0,sK83)
& leq(n0,sK82) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ( 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)))),sK82,sK83) != 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)))),sK83,sK82)
& leq(sK83,minus(n6,n1))
& leq(sK82,minus(n6,n1))
& leq(n0,sK83)
& leq(n0,sK82) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82,sK83])],[f333,f334]) ).
fof(f336,plain,
( ? [X44,X45] :
( a_select3(r_ds1_filter,X44,X45) != a_select3(r_ds1_filter,X45,X44)
& leq(X45,minus(n3,n1))
& leq(X44,minus(n3,n1))
& leq(n0,X45)
& leq(n0,X44) )
| ~ sP5 ),
inference(nnf_transformation,[],[f199]) ).
fof(f337,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f336]) ).
fof(f338,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(r_ds1_filter,sK84,sK85) != a_select3(r_ds1_filter,sK85,sK84)
& leq(sK85,minus(n3,n1))
& leq(sK84,minus(n3,n1))
& leq(n0,sK85)
& leq(n0,sK84) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
( ( a_select3(r_ds1_filter,sK84,sK85) != a_select3(r_ds1_filter,sK85,sK84)
& leq(sK85,minus(n3,n1))
& leq(sK84,minus(n3,n1))
& leq(n0,sK85)
& leq(n0,sK84) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84,sK85])],[f337,f338]) ).
fof(f340,plain,
( ? [X46,X47] :
( a_select3(q_ds1_filter,X46,X47) != a_select3(q_ds1_filter,X47,X46)
& leq(X47,minus(n6,n1))
& leq(X46,minus(n6,n1))
& leq(n0,X47)
& leq(n0,X46) )
| ~ sP4 ),
inference(nnf_transformation,[],[f198]) ).
fof(f341,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP4 ),
inference(rectify,[],[f340]) ).
fof(f342,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(q_ds1_filter,sK86,sK87) != a_select3(q_ds1_filter,sK87,sK86)
& leq(sK87,minus(n6,n1))
& leq(sK86,minus(n6,n1))
& leq(n0,sK87)
& leq(n0,sK86) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
( ( a_select3(q_ds1_filter,sK86,sK87) != a_select3(q_ds1_filter,sK87,sK86)
& leq(sK87,minus(n6,n1))
& leq(sK86,minus(n6,n1))
& leq(n0,sK87)
& leq(n0,sK86) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86,sK87])],[f341,f342]) ).
fof(f344,plain,
( ( ( ( ( ( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| sP21 )
& gt(pv5,n0) )
| sP22 )
& ! [X2] :
( ! [X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(rectify,[],[f217]) ).
fof(f345,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
=> ( ? [X1] :
( a_select3(id_ds1_filter,sK88,X1) != a_select3(id_ds1_filter,X1,sK88)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK88,minus(n6,n1))
& leq(n0,sK88) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK88,X1) != a_select3(id_ds1_filter,X1,sK88)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88)
& leq(sK89,minus(n6,n1))
& leq(n0,sK89) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ( ( ( ( ( ( a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88)
& leq(sK89,minus(n6,n1))
& leq(n0,sK89)
& leq(sK88,minus(n6,n1))
& leq(n0,sK88) )
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& gt(pv5,n0) )
| sP21 )
& gt(pv5,n0) )
| sP22 )
& ! [X2] :
( ! [X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK88,sK89])],[f344,f346,f345]) ).
fof(f352,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f356,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f410,plain,
! [X0,X1] :
( leq(n0,sK41(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f411,plain,
! [X0,X1] :
( leq(sK41(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f412,plain,
! [X0,X1] :
( leq(n0,sK42(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f413,plain,
! [X0,X1] :
( leq(sK42(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f414,plain,
! [X0,X1] :
( a_select3(X0,sK41(X0,X1),sK42(X0,X1)) != a_select3(X0,sK42(X0,X1),sK41(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f415,plain,
! [X0,X1] :
( leq(n0,sK43(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f416,plain,
! [X0,X1] :
( leq(sK43(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f417,plain,
! [X0,X1] :
( leq(n0,sK44(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f418,plain,
! [X0,X1] :
( leq(sK44(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f419,plain,
! [X0,X1] :
( a_select3(X0,sK43(X0,X1),sK44(X0,X1)) != a_select3(X0,sK44(X0,X1),sK43(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f420,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( 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)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(n0,sK45(X5,X6))
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f259]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( 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)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(sK45(X5,X6),X6)
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f259]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( 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)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(n0,sK46(X5,X6))
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f259]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( 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)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(sK46(X5,X6),X6)
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f259]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( 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)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(X5,sK45(X5,X6),sK46(X5,X6)) != a_select3(X5,sK46(X5,X6),sK45(X5,X6))
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f259]) ).
fof(f438,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f458,plain,
( ~ gt(pv5,n0)
| ~ sP22 ),
inference(cnf_transformation,[],[f269]) ).
fof(f459,plain,
( gt(pv5,n0)
| sP12
| ~ sP22 ),
inference(cnf_transformation,[],[f269]) ).
fof(f460,plain,
( leq(n0,sK50)
| sP11
| sP10
| sP9
| sP8
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP12
| ~ sP22 ),
inference(cnf_transformation,[],[f269]) ).
fof(f465,plain,
( ~ gt(pv5,n0)
| ~ sP21 ),
inference(cnf_transformation,[],[f274]) ).
fof(f471,plain,
( leq(n0,sK54)
| ~ sP20 ),
inference(cnf_transformation,[],[f278]) ).
fof(f472,plain,
( leq(n0,sK55)
| ~ sP20 ),
inference(cnf_transformation,[],[f278]) ).
fof(f473,plain,
( leq(sK54,minus(n6,n1))
| ~ sP20 ),
inference(cnf_transformation,[],[f278]) ).
fof(f474,plain,
( leq(sK55,minus(n6,n1))
| ~ sP20 ),
inference(cnf_transformation,[],[f278]) ).
fof(f475,plain,
( 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))))))),sK54,sK55) != 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))))))),sK55,sK54)
| ~ sP20 ),
inference(cnf_transformation,[],[f278]) ).
fof(f476,plain,
( leq(n0,sK56)
| ~ sP19 ),
inference(cnf_transformation,[],[f282]) ).
fof(f477,plain,
( leq(n0,sK57)
| ~ sP19 ),
inference(cnf_transformation,[],[f282]) ).
fof(f478,plain,
( leq(sK56,minus(n6,n1))
| ~ sP19 ),
inference(cnf_transformation,[],[f282]) ).
fof(f479,plain,
( leq(sK57,minus(n6,n1))
| ~ sP19 ),
inference(cnf_transformation,[],[f282]) ).
fof(f480,plain,
( 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))))))),sK56,sK57) != 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))))))),sK57,sK56)
| ~ sP19 ),
inference(cnf_transformation,[],[f282]) ).
fof(f481,plain,
( leq(n0,sK58)
| ~ sP18 ),
inference(cnf_transformation,[],[f286]) ).
fof(f482,plain,
( leq(n0,sK59)
| ~ sP18 ),
inference(cnf_transformation,[],[f286]) ).
fof(f483,plain,
( leq(sK58,minus(n3,n1))
| ~ sP18 ),
inference(cnf_transformation,[],[f286]) ).
fof(f484,plain,
( leq(sK59,minus(n3,n1))
| ~ sP18 ),
inference(cnf_transformation,[],[f286]) ).
fof(f485,plain,
( a_select3(r_ds1_filter,sK58,sK59) != a_select3(r_ds1_filter,sK59,sK58)
| ~ sP18 ),
inference(cnf_transformation,[],[f286]) ).
fof(f486,plain,
( leq(n0,sK60)
| ~ sP17 ),
inference(cnf_transformation,[],[f290]) ).
fof(f487,plain,
( leq(n0,sK61)
| ~ sP17 ),
inference(cnf_transformation,[],[f290]) ).
fof(f488,plain,
( leq(sK60,minus(n6,n1))
| ~ sP17 ),
inference(cnf_transformation,[],[f290]) ).
fof(f489,plain,
( leq(sK61,minus(n6,n1))
| ~ sP17 ),
inference(cnf_transformation,[],[f290]) ).
fof(f490,plain,
( a_select3(q_ds1_filter,sK60,sK61) != a_select3(q_ds1_filter,sK61,sK60)
| ~ sP17 ),
inference(cnf_transformation,[],[f290]) ).
fof(f512,plain,
( leq(n0,sK70)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12 ),
inference(cnf_transformation,[],[f311]) ).
fof(f513,plain,
( leq(sK70,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12 ),
inference(cnf_transformation,[],[f311]) ).
fof(f514,plain,
( leq(n0,sK71)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12 ),
inference(cnf_transformation,[],[f311]) ).
fof(f515,plain,
( leq(sK71,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12 ),
inference(cnf_transformation,[],[f311]) ).
fof(f516,plain,
( a_select3(id_ds1_filter,sK70,sK71) != a_select3(id_ds1_filter,sK71,sK70)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12 ),
inference(cnf_transformation,[],[f311]) ).
fof(f537,plain,
( leq(n0,sK80)
| ~ sP7 ),
inference(cnf_transformation,[],[f331]) ).
fof(f538,plain,
( leq(n0,sK81)
| ~ sP7 ),
inference(cnf_transformation,[],[f331]) ).
fof(f539,plain,
( leq(sK80,minus(n6,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f331]) ).
fof(f540,plain,
( leq(sK81,minus(n6,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f331]) ).
fof(f541,plain,
( 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)))),sK80,sK81) != 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)))),sK81,sK80)
| ~ sP7 ),
inference(cnf_transformation,[],[f331]) ).
fof(f542,plain,
( leq(n0,sK82)
| ~ sP6 ),
inference(cnf_transformation,[],[f335]) ).
fof(f543,plain,
( leq(n0,sK83)
| ~ sP6 ),
inference(cnf_transformation,[],[f335]) ).
fof(f544,plain,
( leq(sK82,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f335]) ).
fof(f545,plain,
( leq(sK83,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f335]) ).
fof(f546,plain,
( 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)))),sK82,sK83) != 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)))),sK83,sK82)
| ~ sP6 ),
inference(cnf_transformation,[],[f335]) ).
fof(f547,plain,
( leq(n0,sK84)
| ~ sP5 ),
inference(cnf_transformation,[],[f339]) ).
fof(f548,plain,
( leq(n0,sK85)
| ~ sP5 ),
inference(cnf_transformation,[],[f339]) ).
fof(f549,plain,
( leq(sK84,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f339]) ).
fof(f550,plain,
( leq(sK85,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f339]) ).
fof(f551,plain,
( a_select3(r_ds1_filter,sK84,sK85) != a_select3(r_ds1_filter,sK85,sK84)
| ~ sP5 ),
inference(cnf_transformation,[],[f339]) ).
fof(f552,plain,
( leq(n0,sK86)
| ~ sP4 ),
inference(cnf_transformation,[],[f343]) ).
fof(f553,plain,
( leq(n0,sK87)
| ~ sP4 ),
inference(cnf_transformation,[],[f343]) ).
fof(f554,plain,
( leq(sK86,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f343]) ).
fof(f555,plain,
( leq(sK87,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f343]) ).
fof(f556,plain,
( a_select3(q_ds1_filter,sK86,sK87) != a_select3(q_ds1_filter,sK87,sK86)
| ~ sP4 ),
inference(cnf_transformation,[],[f343]) ).
fof(f557,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f347]) ).
fof(f558,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f347]) ).
fof(f559,plain,
! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f347]) ).
fof(f560,plain,
! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f347]) ).
fof(f561,plain,
! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f347]) ).
fof(f562,plain,
! [X2,X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f347]) ).
fof(f563,plain,
( gt(pv5,n0)
| sP22 ),
inference(cnf_transformation,[],[f347]) ).
fof(f565,plain,
( leq(n0,sK88)
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP21
| sP22 ),
inference(cnf_transformation,[],[f347]) ).
fof(f566,plain,
( leq(sK88,minus(n6,n1))
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP21
| sP22 ),
inference(cnf_transformation,[],[f347]) ).
fof(f567,plain,
( leq(n0,sK89)
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP21
| sP22 ),
inference(cnf_transformation,[],[f347]) ).
fof(f568,plain,
( leq(sK89,minus(n6,n1))
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP21
| sP22 ),
inference(cnf_transformation,[],[f347]) ).
fof(f569,plain,
( a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88)
| sP20
| sP19
| sP18
| sP17
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP21
| sP22 ),
inference(cnf_transformation,[],[f347]) ).
fof(f596,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f81]) ).
fof(f628,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f356,f438]) ).
cnf(c_53,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_56,plain,
( ~ gt(X0,X1)
| leq(X1,minus(X0,n1)) ),
inference(cnf_transformation,[],[f628]) ).
cnf(c_111,plain,
( a_select3(X0,sK41(X0,X1),sK42(X0,X1)) != a_select3(X0,sK42(X0,X1),sK41(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
cnf(c_112,plain,
( ~ sP3(X0,X1)
| leq(sK42(X0,X1),X1) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_113,plain,
( ~ sP3(X0,X1)
| leq(n0,sK42(X0,X1)) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_114,plain,
( ~ sP3(X0,X1)
| leq(sK41(X0,X1),X1) ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_115,plain,
( ~ sP3(X0,X1)
| leq(n0,sK41(X0,X1)) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_116,plain,
( a_select3(X0,sK43(X0,X1),sK44(X0,X1)) != a_select3(X0,sK44(X0,X1),sK43(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f419]) ).
cnf(c_117,plain,
( ~ sP2(X0,X1)
| leq(sK44(X0,X1),X1) ),
inference(cnf_transformation,[],[f418]) ).
cnf(c_118,plain,
( ~ sP2(X0,X1)
| leq(n0,sK44(X0,X1)) ),
inference(cnf_transformation,[],[f417]) ).
cnf(c_119,plain,
( ~ sP2(X0,X1)
| leq(sK43(X0,X1),X1) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_120,plain,
( ~ sP2(X0,X1)
| leq(n0,sK43(X0,X1)) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_121,plain,
( a_select3(X0,sK45(X0,X1),sK46(X0,X1)) != a_select3(X0,sK46(X0,X1),sK45(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_madd(X4,tptp_mmul(X5,tptp_mmul(tptp_madd(tptp_mmul(X6,tptp_mmul(X7,trans(X6))),tptp_mmul(X8,tptp_mmul(X0,trans(X8)))),trans(X5)))),X2,X3) = a_select3(tptp_madd(X4,tptp_mmul(X5,tptp_mmul(tptp_madd(tptp_mmul(X6,tptp_mmul(X7,trans(X6))),tptp_mmul(X8,tptp_mmul(X0,trans(X8)))),trans(X5)))),X3,X2)
| sP3(X4,X1)
| sP2(X7,X9) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_122,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,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)))),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(sK46(X8,X1),X1)
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_123,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,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)))),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,sK46(X8,X1))
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f422]) ).
cnf(c_124,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,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)))),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(sK45(X8,X1),X1)
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_125,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,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)))),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,sK45(X8,X1))
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f420]) ).
cnf(c_161,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP22
| leq(n0,sK50)
| sP11
| sP10
| sP9
| sP8
| sP12 ),
inference(cnf_transformation,[],[f460]) ).
cnf(c_162,plain,
( ~ sP22
| gt(pv5,n0)
| sP12 ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_163,plain,
( ~ gt(pv5,n0)
| ~ sP22 ),
inference(cnf_transformation,[],[f458]) ).
cnf(c_169,plain,
( ~ gt(pv5,n0)
| ~ sP21 ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_170,plain,
( 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))))))),sK54,sK55) != 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))))))),sK55,sK54)
| ~ sP20 ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_171,plain,
( ~ sP20
| leq(sK55,minus(n6,n1)) ),
inference(cnf_transformation,[],[f474]) ).
cnf(c_172,plain,
( ~ sP20
| leq(sK54,minus(n6,n1)) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_173,plain,
( ~ sP20
| leq(n0,sK55) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_174,plain,
( ~ sP20
| leq(n0,sK54) ),
inference(cnf_transformation,[],[f471]) ).
cnf(c_175,plain,
( 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))))))),sK56,sK57) != 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))))))),sK57,sK56)
| ~ sP19 ),
inference(cnf_transformation,[],[f480]) ).
cnf(c_176,plain,
( ~ sP19
| leq(sK57,minus(n6,n1)) ),
inference(cnf_transformation,[],[f479]) ).
cnf(c_177,plain,
( ~ sP19
| leq(sK56,minus(n6,n1)) ),
inference(cnf_transformation,[],[f478]) ).
cnf(c_178,plain,
( ~ sP19
| leq(n0,sK57) ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_179,plain,
( ~ sP19
| leq(n0,sK56) ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_180,plain,
( a_select3(r_ds1_filter,sK58,sK59) != a_select3(r_ds1_filter,sK59,sK58)
| ~ sP18 ),
inference(cnf_transformation,[],[f485]) ).
cnf(c_181,plain,
( ~ sP18
| leq(sK59,minus(n3,n1)) ),
inference(cnf_transformation,[],[f484]) ).
cnf(c_182,plain,
( ~ sP18
| leq(sK58,minus(n3,n1)) ),
inference(cnf_transformation,[],[f483]) ).
cnf(c_183,plain,
( ~ sP18
| leq(n0,sK59) ),
inference(cnf_transformation,[],[f482]) ).
cnf(c_184,plain,
( ~ sP18
| leq(n0,sK58) ),
inference(cnf_transformation,[],[f481]) ).
cnf(c_185,plain,
( a_select3(q_ds1_filter,sK60,sK61) != a_select3(q_ds1_filter,sK61,sK60)
| ~ sP17 ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_186,plain,
( ~ sP17
| leq(sK61,minus(n6,n1)) ),
inference(cnf_transformation,[],[f489]) ).
cnf(c_187,plain,
( ~ sP17
| leq(sK60,minus(n6,n1)) ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_188,plain,
( ~ sP17
| leq(n0,sK61) ),
inference(cnf_transformation,[],[f487]) ).
cnf(c_189,plain,
( ~ sP17
| leq(n0,sK60) ),
inference(cnf_transformation,[],[f486]) ).
cnf(c_210,plain,
( a_select3(id_ds1_filter,sK70,sK71) != a_select3(id_ds1_filter,sK71,sK70)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f516]) ).
cnf(c_211,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12
| leq(sK71,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f515]) ).
cnf(c_212,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12
| leq(n0,sK71)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f514]) ).
cnf(c_213,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12
| leq(sK70,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f513]) ).
cnf(c_214,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sP12
| leq(n0,sK70)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f512]) ).
cnf(c_236,plain,
( 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)))),sK80,sK81) != 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)))),sK81,sK80)
| ~ sP7 ),
inference(cnf_transformation,[],[f541]) ).
cnf(c_237,plain,
( ~ sP7
| leq(sK81,minus(n6,n1)) ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_238,plain,
( ~ sP7
| leq(sK80,minus(n6,n1)) ),
inference(cnf_transformation,[],[f539]) ).
cnf(c_239,plain,
( ~ sP7
| leq(n0,sK81) ),
inference(cnf_transformation,[],[f538]) ).
cnf(c_240,plain,
( ~ sP7
| leq(n0,sK80) ),
inference(cnf_transformation,[],[f537]) ).
cnf(c_241,plain,
( 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)))),sK82,sK83) != 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)))),sK83,sK82)
| ~ sP6 ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_242,plain,
( ~ sP6
| leq(sK83,minus(n6,n1)) ),
inference(cnf_transformation,[],[f545]) ).
cnf(c_243,plain,
( ~ sP6
| leq(sK82,minus(n6,n1)) ),
inference(cnf_transformation,[],[f544]) ).
cnf(c_244,plain,
( ~ sP6
| leq(n0,sK83) ),
inference(cnf_transformation,[],[f543]) ).
cnf(c_245,plain,
( ~ sP6
| leq(n0,sK82) ),
inference(cnf_transformation,[],[f542]) ).
cnf(c_246,plain,
( a_select3(r_ds1_filter,sK84,sK85) != a_select3(r_ds1_filter,sK85,sK84)
| ~ sP5 ),
inference(cnf_transformation,[],[f551]) ).
cnf(c_247,plain,
( ~ sP5
| leq(sK85,minus(n3,n1)) ),
inference(cnf_transformation,[],[f550]) ).
cnf(c_248,plain,
( ~ sP5
| leq(sK84,minus(n3,n1)) ),
inference(cnf_transformation,[],[f549]) ).
cnf(c_249,plain,
( ~ sP5
| leq(n0,sK85) ),
inference(cnf_transformation,[],[f548]) ).
cnf(c_250,plain,
( ~ sP5
| leq(n0,sK84) ),
inference(cnf_transformation,[],[f547]) ).
cnf(c_251,plain,
( a_select3(q_ds1_filter,sK86,sK87) != a_select3(q_ds1_filter,sK87,sK86)
| ~ sP4 ),
inference(cnf_transformation,[],[f556]) ).
cnf(c_252,plain,
( ~ sP4
| leq(sK87,minus(n6,n1)) ),
inference(cnf_transformation,[],[f555]) ).
cnf(c_253,plain,
( ~ sP4
| leq(sK86,minus(n6,n1)) ),
inference(cnf_transformation,[],[f554]) ).
cnf(c_254,plain,
( ~ sP4
| leq(n0,sK87) ),
inference(cnf_transformation,[],[f553]) ).
cnf(c_255,plain,
( ~ sP4
| leq(n0,sK86) ),
inference(cnf_transformation,[],[f552]) ).
cnf(c_256,negated_conjecture,
( a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f569]) ).
cnf(c_257,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(sK89,minus(n6,n1))
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_258,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,sK89)
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_259,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(sK88,minus(n6,n1))
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_260,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,sK88)
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_262,negated_conjecture,
( gt(pv5,n0)
| sP22 ),
inference(cnf_transformation,[],[f563]) ).
cnf(c_263,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f562]) ).
cnf(c_264,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f561]) ).
cnf(c_265,negated_conjecture,
( ~ leq(X0,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_266,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f559]) ).
cnf(c_267,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f558]) ).
cnf(c_268,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f557]) ).
cnf(c_295,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f596]) ).
cnf(c_425,plain,
( sP22
| leq(n0,sK88)
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_260,c_268,c_262,c_267,c_169,c_260]) ).
cnf(c_426,negated_conjecture,
( leq(n0,sK88)
| sP22
| sP20
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_425]) ).
cnf(c_427,plain,
( sP22
| leq(n0,sK89)
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_258,c_268,c_262,c_267,c_169,c_258]) ).
cnf(c_428,negated_conjecture,
( leq(n0,sK89)
| sP22
| sP20
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_427]) ).
cnf(c_429,plain,
( ~ sP12
| leq(n0,sK70)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_214,c_268,c_267,c_214]) ).
cnf(c_431,plain,
( ~ sP12
| leq(n0,sK71)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_212,c_268,c_267,c_212]) ).
cnf(c_437,plain,
( ~ sP22
| sP12 ),
inference(global_subsumption_just,[status(thm)],[c_161,c_163,c_162]) ).
cnf(c_441,plain,
( sP22
| leq(sK88,minus(n6,n1))
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_259,c_268,c_262,c_267,c_169,c_259]) ).
cnf(c_442,negated_conjecture,
( leq(sK88,minus(n6,n1))
| sP22
| sP20
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_441]) ).
cnf(c_443,plain,
( sP22
| leq(sK89,minus(n6,n1))
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_257,c_268,c_262,c_267,c_169,c_257]) ).
cnf(c_444,negated_conjecture,
( leq(sK89,minus(n6,n1))
| sP22
| sP20
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_443]) ).
cnf(c_445,plain,
( ~ sP12
| leq(sK70,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_213,c_268,c_267,c_213]) ).
cnf(c_447,plain,
( ~ sP12
| leq(sK71,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_211,c_268,c_267,c_211]) ).
cnf(c_457,plain,
( sP22
| a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88)
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_256,c_268,c_262,c_267,c_169,c_256]) ).
cnf(c_458,negated_conjecture,
( a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88)
| sP22
| sP20
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_457]) ).
cnf(c_459,plain,
( a_select3(id_ds1_filter,sK70,sK71) != a_select3(id_ds1_filter,sK71,sK70)
| ~ sP12
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_210,c_268,c_267,c_210]) ).
cnf(c_471,plain,
( ~ sP22
| sP12 ),
inference(prop_impl_just,[status(thm)],[c_437]) ).
cnf(c_1303,plain,
( ~ sP22
| leq(n0,sK70)
| sP7
| sP6
| sP5
| sP4 ),
inference(bin_hyper_res,[status(thm)],[c_429,c_471]) ).
cnf(c_1304,plain,
( ~ sP22
| leq(n0,sK71)
| sP7
| sP6
| sP5
| sP4 ),
inference(bin_hyper_res,[status(thm)],[c_431,c_471]) ).
cnf(c_1305,plain,
( ~ sP22
| leq(sK70,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(bin_hyper_res,[status(thm)],[c_445,c_471]) ).
cnf(c_1306,plain,
( ~ sP22
| leq(sK71,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(bin_hyper_res,[status(thm)],[c_447,c_471]) ).
cnf(c_1307,plain,
( a_select3(id_ds1_filter,sK70,sK71) != a_select3(id_ds1_filter,sK71,sK70)
| ~ sP22
| sP7
| sP6
| sP5
| sP4 ),
inference(bin_hyper_res,[status(thm)],[c_459,c_471]) ).
cnf(c_28568,plain,
( ~ gt(n3,n0)
| leq(n0,minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_28743,plain,
( ~ leq(sK84,minus(n3,n1))
| ~ leq(sK85,minus(n3,n1))
| ~ leq(n0,sK84)
| ~ leq(n0,sK85)
| a_select3(r_ds1_filter,sK84,sK85) = a_select3(r_ds1_filter,sK85,sK84) ),
inference(instantiation,[status(thm)],[c_265]) ).
cnf(c_28845,plain,
( ~ leq(sK60,minus(n6,n1))
| ~ leq(sK61,minus(n6,n1))
| ~ leq(n0,sK60)
| ~ leq(n0,sK61)
| a_select3(q_ds1_filter,sK60,sK61) = a_select3(q_ds1_filter,sK61,sK60) ),
inference(instantiation,[status(thm)],[c_266]) ).
cnf(c_28966,plain,
( ~ leq(sK82,X0)
| ~ leq(sK83,X0)
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(sK45(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_28967,plain,
( ~ leq(sK82,X0)
| ~ leq(sK83,X0)
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(n0,sK46(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_28968,plain,
( ~ leq(sK82,X0)
| ~ leq(sK83,X0)
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(sK46(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_29115,plain,
( ~ sP2(r_ds1_filter,X0)
| leq(n0,sK43(r_ds1_filter,X0)) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_29116,plain,
( ~ sP2(r_ds1_filter,X0)
| leq(sK43(r_ds1_filter,X0),X0) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_29117,plain,
( ~ sP2(r_ds1_filter,X0)
| leq(n0,sK44(r_ds1_filter,X0)) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_29118,plain,
( ~ sP2(r_ds1_filter,X0)
| leq(sK44(r_ds1_filter,X0),X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_29119,plain,
( a_select3(r_ds1_filter,sK43(r_ds1_filter,X0),sK44(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK44(r_ds1_filter,X0),sK43(r_ds1_filter,X0))
| ~ sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_29120,plain,
( a_select3(r_ds1_filter,sK43(r_ds1_filter,n0),sK44(r_ds1_filter,n0)) != a_select3(r_ds1_filter,sK44(r_ds1_filter,n0),sK43(r_ds1_filter,n0))
| ~ sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_29119]) ).
cnf(c_29121,plain,
( ~ sP2(r_ds1_filter,n0)
| leq(sK44(r_ds1_filter,n0),n0) ),
inference(instantiation,[status(thm)],[c_29118]) ).
cnf(c_29122,plain,
( ~ sP2(r_ds1_filter,n0)
| leq(n0,sK44(r_ds1_filter,n0)) ),
inference(instantiation,[status(thm)],[c_29117]) ).
cnf(c_29123,plain,
( ~ sP2(r_ds1_filter,n0)
| leq(sK43(r_ds1_filter,n0),n0) ),
inference(instantiation,[status(thm)],[c_29116]) ).
cnf(c_29124,plain,
( ~ sP2(r_ds1_filter,n0)
| leq(n0,sK43(r_ds1_filter,n0)) ),
inference(instantiation,[status(thm)],[c_29115]) ).
cnf(c_29125,plain,
( ~ leq(sK82,minus(X0,n1))
| ~ leq(sK83,minus(X0,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(sK45(pminus_ds1_filter,minus(X0,n1)),minus(X0,n1))
| sP3(q_ds1_filter,minus(X0,n1))
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_28966]) ).
cnf(c_29143,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,X0),sK46(pminus_ds1_filter,X0)) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,X0),sK45(pminus_ds1_filter,X0))
| ~ leq(sK80,X0)
| ~ leq(sK81,X0)
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_29145,plain,
( ~ leq(sK80,X0)
| ~ leq(sK81,X0)
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(n0,sK45(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_29146,plain,
( ~ leq(sK80,X0)
| ~ leq(sK81,X0)
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(sK45(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_29147,plain,
( ~ leq(sK80,X0)
| ~ leq(sK81,X0)
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(n0,sK46(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_29148,plain,
( ~ leq(sK80,X0)
| ~ leq(sK81,X0)
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(sK46(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_31937,plain,
( ~ leq(sK70,minus(n6,n1))
| ~ leq(sK71,minus(n6,n1))
| ~ leq(n0,sK70)
| ~ leq(n0,sK71)
| a_select3(id_ds1_filter,sK70,sK71) = a_select3(id_ds1_filter,sK71,sK70) ),
inference(instantiation,[status(thm)],[c_263]) ).
cnf(c_32413,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_250,c_250,c_249,c_248,c_247,c_246,c_28743]) ).
cnf(c_32423,plain,
~ sP17,
inference(global_subsumption_just,[status(thm)],[c_189,c_189,c_188,c_187,c_186,c_185,c_28845]) ).
cnf(c_32992,plain,
( sP18
| sP19
| sP20
| sP22
| leq(n0,sK89) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_428,c_32423]) ).
cnf(c_32993,negated_conjecture,
( leq(n0,sK89)
| sP22
| sP20
| sP19
| sP18 ),
inference(renaming,[status(thm)],[c_32992]) ).
cnf(c_32994,plain,
( sP18
| sP19
| sP20
| sP22
| leq(n0,sK88) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_189,c_188,c_187,c_186,c_185,c_426,c_28845]) ).
cnf(c_32995,negated_conjecture,
( leq(n0,sK88)
| sP22
| sP20
| sP19
| sP18 ),
inference(renaming,[status(thm)],[c_32994]) ).
cnf(c_32999,plain,
( sP6
| sP7
| ~ sP22
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_1304,c_1304,c_1303,c_1306,c_1305,c_1307,c_31937,c_32413]) ).
cnf(c_33000,plain,
( ~ sP22
| sP7
| sP6
| sP4 ),
inference(renaming,[status(thm)],[c_32999]) ).
cnf(c_33872,plain,
( sP18
| sP19
| sP20
| sP22
| leq(sK89,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_189,c_188,c_187,c_186,c_185,c_444,c_28845]) ).
cnf(c_33873,negated_conjecture,
( leq(sK89,minus(n6,n1))
| sP22
| sP20
| sP19
| sP18 ),
inference(renaming,[status(thm)],[c_33872]) ).
cnf(c_33874,plain,
( sP18
| sP19
| sP20
| sP22
| leq(sK88,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_189,c_188,c_187,c_186,c_185,c_442,c_28845]) ).
cnf(c_33875,negated_conjecture,
( leq(sK88,minus(n6,n1))
| sP22
| sP20
| sP19
| sP18 ),
inference(renaming,[status(thm)],[c_33874]) ).
cnf(c_35342,plain,
( ~ leq(sK86,minus(n6,n1))
| ~ leq(sK87,minus(n6,n1))
| ~ leq(n0,sK86)
| ~ leq(n0,sK87)
| a_select3(q_ds1_filter,sK86,sK87) = a_select3(q_ds1_filter,sK87,sK86) ),
inference(instantiation,[status(thm)],[c_266]) ).
cnf(c_35858,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_251,c_255,c_254,c_253,c_252,c_251,c_35342]) ).
cnf(c_36111,plain,
( sP18
| sP19
| sP20
| sP22
| a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88) ),
inference(global_subsumption_just,[status(thm)],[c_458,c_189,c_188,c_187,c_186,c_185,c_458,c_28845]) ).
cnf(c_36112,negated_conjecture,
( a_select3(id_ds1_filter,sK88,sK89) != a_select3(id_ds1_filter,sK89,sK88)
| sP22
| sP20
| sP19
| sP18 ),
inference(renaming,[status(thm)],[c_36111]) ).
cnf(c_36510,plain,
( ~ leq(sK45(pminus_ds1_filter,X0),minus(n6,n1))
| ~ leq(sK46(pminus_ds1_filter,X0),minus(n6,n1))
| ~ leq(n0,sK45(pminus_ds1_filter,X0))
| ~ leq(n0,sK46(pminus_ds1_filter,X0))
| a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,X0),sK46(pminus_ds1_filter,X0)) = a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,X0),sK45(pminus_ds1_filter,X0)) ),
inference(instantiation,[status(thm)],[c_264]) ).
cnf(c_36547,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_28967]) ).
cnf(c_36548,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_36547]) ).
cnf(c_36658,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_28968]) ).
cnf(c_36659,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_36658]) ).
cnf(c_36823,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_29125]) ).
cnf(c_36824,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_36823]) ).
cnf(c_38465,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_29143]) ).
cnf(c_38466,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_38465]) ).
cnf(c_38524,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_29145]) ).
cnf(c_38525,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_38524]) ).
cnf(c_38583,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_29146]) ).
cnf(c_38584,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_38583]) ).
cnf(c_38642,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_29147]) ).
cnf(c_38643,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_38642]) ).
cnf(c_38701,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_29148]) ).
cnf(c_38702,plain,
( ~ leq(sK80,minus(n6,n1))
| ~ leq(sK81,minus(n6,n1))
| ~ leq(n0,sK80)
| ~ leq(n0,sK81)
| 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)))),sK80,sK81) = 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)))),sK81,sK80)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_38701]) ).
cnf(c_43836,plain,
( ~ leq(sK43(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(sK44(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(n0,sK43(r_ds1_filter,X0))
| ~ leq(n0,sK44(r_ds1_filter,X0))
| a_select3(r_ds1_filter,sK43(r_ds1_filter,X0),sK44(r_ds1_filter,X0)) = a_select3(r_ds1_filter,sK44(r_ds1_filter,X0),sK43(r_ds1_filter,X0)) ),
inference(instantiation,[status(thm)],[c_265]) ).
cnf(c_43837,plain,
( ~ leq(sK43(r_ds1_filter,n0),minus(n3,n1))
| ~ leq(sK44(r_ds1_filter,n0),minus(n3,n1))
| ~ leq(n0,sK43(r_ds1_filter,n0))
| ~ leq(n0,sK44(r_ds1_filter,n0))
| a_select3(r_ds1_filter,sK43(r_ds1_filter,n0),sK44(r_ds1_filter,n0)) = a_select3(r_ds1_filter,sK44(r_ds1_filter,n0),sK43(r_ds1_filter,n0)) ),
inference(instantiation,[status(thm)],[c_43836]) ).
cnf(c_46204,plain,
( ~ sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK41(q_ds1_filter,minus(n6,n1))) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_46205,plain,
( ~ sP3(q_ds1_filter,minus(n6,n1))
| leq(sK41(q_ds1_filter,minus(n6,n1)),minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_46206,plain,
( ~ sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK42(q_ds1_filter,minus(n6,n1))) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_46207,plain,
( ~ sP3(q_ds1_filter,minus(n6,n1))
| leq(sK42(q_ds1_filter,minus(n6,n1)),minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_46208,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)))
| ~ sP3(q_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_51681,plain,
( ~ leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) = a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1))) ),
inference(instantiation,[status(thm)],[c_36510]) ).
cnf(c_56171,plain,
( ~ leq(X0,minus(X1,n1))
| ~ leq(X2,X0)
| leq(X2,minus(X1,n1)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_57085,plain,
( ~ leq(n0,minus(n3,n1))
| ~ leq(X0,n0)
| leq(X0,minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_56171]) ).
cnf(c_65476,plain,
( ~ leq(sK44(r_ds1_filter,X0),n0)
| ~ leq(n0,minus(n3,n1))
| leq(sK44(r_ds1_filter,X0),minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_57085]) ).
cnf(c_65477,plain,
( ~ leq(sK44(r_ds1_filter,n0),n0)
| ~ leq(n0,minus(n3,n1))
| leq(sK44(r_ds1_filter,n0),minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_65476]) ).
cnf(c_68584,plain,
( ~ leq(sK43(r_ds1_filter,X0),n0)
| ~ leq(n0,minus(n3,n1))
| leq(sK43(r_ds1_filter,X0),minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_57085]) ).
cnf(c_68585,plain,
( ~ leq(sK43(r_ds1_filter,n0),n0)
| ~ leq(n0,minus(n3,n1))
| leq(sK43(r_ds1_filter,n0),minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_68584]) ).
cnf(c_77292,plain,
( ~ leq(sK41(q_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ leq(sK42(q_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ leq(n0,sK41(q_ds1_filter,minus(n6,n1)))
| ~ leq(n0,sK42(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_266]) ).
cnf(c_78743,plain,
( ~ leq(sK88,minus(n6,n1))
| ~ leq(sK89,minus(n6,n1))
| ~ leq(n0,sK88)
| ~ leq(n0,sK89)
| a_select3(id_ds1_filter,sK88,sK89) = a_select3(id_ds1_filter,sK89,sK88) ),
inference(instantiation,[status(thm)],[c_263]) ).
cnf(c_85323,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,X0),sK46(pminus_ds1_filter,X0)) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,X0),sK45(pminus_ds1_filter,X0))
| ~ leq(sK54,X0)
| ~ leq(sK55,X0)
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_85325,plain,
( ~ leq(sK54,X0)
| ~ leq(sK55,X0)
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(n0,sK45(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_85326,plain,
( ~ leq(sK54,X0)
| ~ leq(sK55,X0)
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(sK45(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_85327,plain,
( ~ leq(sK54,X0)
| ~ leq(sK55,X0)
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(n0,sK46(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_85328,plain,
( ~ leq(sK54,X0)
| ~ leq(sK55,X0)
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(sK46(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_88364,plain,
( sP18
| sP19
| sP20
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_426,c_32993,c_32995,c_33873,c_33875,c_36112,c_78743]) ).
cnf(c_88365,negated_conjecture,
( sP22
| sP20
| sP19
| sP18 ),
inference(renaming,[status(thm)],[c_88364]) ).
cnf(c_90261,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,X0),sK46(pminus_ds1_filter,X0)) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,X0),sK45(pminus_ds1_filter,X0))
| ~ leq(sK56,X0)
| ~ leq(sK57,X0)
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_90263,plain,
( ~ leq(sK56,X0)
| ~ leq(sK57,X0)
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(n0,sK45(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_90264,plain,
( ~ leq(sK56,X0)
| ~ leq(sK57,X0)
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(sK45(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_90265,plain,
( ~ leq(sK56,X0)
| ~ leq(sK57,X0)
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(n0,sK46(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_90266,plain,
( ~ leq(sK56,X0)
| ~ leq(sK57,X0)
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(sK46(pminus_ds1_filter,X0),X0)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_94485,plain,
( ~ leq(sK58,minus(n3,n1))
| ~ leq(sK59,minus(n3,n1))
| ~ leq(n0,sK58)
| ~ leq(n0,sK59)
| a_select3(r_ds1_filter,sK58,sK59) = a_select3(r_ds1_filter,sK59,sK58) ),
inference(instantiation,[status(thm)],[c_265]) ).
cnf(c_100370,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_85323]) ).
cnf(c_100371,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_100370]) ).
cnf(c_100458,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_85325]) ).
cnf(c_100459,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_100458]) ).
cnf(c_100546,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_85326]) ).
cnf(c_100547,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_100546]) ).
cnf(c_100634,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_85328]) ).
cnf(c_100635,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_100634]) ).
cnf(c_109833,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,X0),sK46(pminus_ds1_filter,X0)) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,X0),sK45(pminus_ds1_filter,X0))
| ~ leq(sK82,X0)
| ~ leq(sK83,X0)
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_109834,plain,
( ~ leq(sK82,X0)
| ~ leq(sK83,X0)
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(n0,sK45(pminus_ds1_filter,X0))
| sP3(q_ds1_filter,X0)
| sP2(r_ds1_filter,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_110020,plain,
~ sP18,
inference(global_subsumption_just,[status(thm)],[c_181,c_184,c_183,c_182,c_181,c_180,c_94485]) ).
cnf(c_110022,plain,
( sP22
| sP20
| sP19 ),
inference(superposition,[status(thm)],[c_88365,c_110020]) ).
cnf(c_118586,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_109833]) ).
cnf(c_118587,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_118586]) ).
cnf(c_118675,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_109834]) ).
cnf(c_118676,plain,
( ~ leq(sK82,minus(n6,n1))
| ~ leq(sK83,minus(n6,n1))
| ~ leq(n0,sK82)
| ~ leq(n0,sK83)
| 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)))),sK82,sK83) = 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)))),sK83,sK82)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_118675]) ).
cnf(c_122929,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_90261]) ).
cnf(c_122930,plain,
( a_select3(pminus_ds1_filter,sK45(pminus_ds1_filter,minus(n6,n1)),sK46(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK46(pminus_ds1_filter,minus(n6,n1)),sK45(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_122929]) ).
cnf(c_123018,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_90263]) ).
cnf(c_123019,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(n0,sK45(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_123018]) ).
cnf(c_123107,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_90264]) ).
cnf(c_123108,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(sK45(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_123107]) ).
cnf(c_123196,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_90266]) ).
cnf(c_123197,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(sK46(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_123196]) ).
cnf(c_133365,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_90265]) ).
cnf(c_133367,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,X0) ),
inference(instantiation,[status(thm)],[c_85327]) ).
cnf(c_133369,plain,
( ~ leq(sK54,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(n0,sK54)
| ~ leq(n0,sK55)
| 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))))))),sK54,sK55) = 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))))))),sK55,sK54)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_133367]) ).
cnf(c_133370,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ leq(n0,sK56)
| ~ leq(n0,sK57)
| 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))))))),sK56,sK57) = 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))))))),sK57,sK56)
| leq(n0,sK46(pminus_ds1_filter,minus(n6,n1)))
| sP3(q_ds1_filter,minus(n6,n1))
| sP2(r_ds1_filter,n0) ),
inference(instantiation,[status(thm)],[c_133365]) ).
cnf(c_134761,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_133370,c_133369,c_123197,c_123108,c_123019,c_122930,c_118676,c_118587,c_110022,c_110020,c_100635,c_100547,c_100459,c_100371,c_88365,c_77292,c_68585,c_65477,c_51681,c_46204,c_46205,c_46206,c_46207,c_46208,c_43837,c_38702,c_38643,c_38584,c_38525,c_38466,c_36824,c_36659,c_36548,c_35858,c_33000,c_29124,c_29123,c_29122,c_29121,c_29120,c_28568,c_170,c_175,c_236,c_241,c_171,c_172,c_176,c_177,c_237,c_238,c_242,c_243,c_173,c_174,c_178,c_179,c_239,c_240,c_244,c_245,c_295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV118+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 02:55:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 107.26/15.29 % SZS status Started for theBenchmark.p
% 107.26/15.29 % SZS status Theorem for theBenchmark.p
% 107.26/15.29
% 107.26/15.29 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 107.26/15.29
% 107.26/15.29 ------ iProver source info
% 107.26/15.29
% 107.26/15.29 git: date: 2023-05-31 18:12:56 +0000
% 107.26/15.29 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 107.26/15.29 git: non_committed_changes: false
% 107.26/15.29 git: last_make_outside_of_git: false
% 107.26/15.29
% 107.26/15.29 ------ Parsing...
% 107.26/15.29 ------ Clausification by vclausify_rel & Parsing by iProver...
% 107.26/15.29
% 107.26/15.29 ------ Preprocessing... sup_sim: 14 sf_s rm: 47 0s sf_e pe_s pe:1:0s pe_e sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 107.26/15.29
% 107.26/15.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 107.26/15.29
% 107.26/15.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 107.26/15.29 ------ Proving...
% 107.26/15.29 ------ Problem Properties
% 107.26/15.29
% 107.26/15.29
% 107.26/15.29 clauses 224
% 107.26/15.29 conjectures 12
% 107.26/15.29 EPR 84
% 107.26/15.29 Horn 162
% 107.26/15.29 unary 73
% 107.26/15.29 binary 76
% 107.26/15.29 lits 679
% 107.26/15.29 lits eq 135
% 107.26/15.29 fd_pure 0
% 107.26/15.29 fd_pseudo 0
% 107.26/15.29 fd_cond 7
% 107.26/15.29 fd_pseudo_cond 4
% 107.26/15.29 AC symbols 0
% 107.26/15.29
% 107.26/15.29 ------ Input Options Time Limit: Unbounded
% 107.26/15.29
% 107.26/15.29
% 107.26/15.29 ------
% 107.26/15.29 Current options:
% 107.26/15.29 ------
% 107.26/15.29
% 107.26/15.29
% 107.26/15.29
% 107.26/15.29
% 107.26/15.29 ------ Proving...
% 107.26/15.29
% 107.26/15.29
% 107.26/15.29 % SZS status Theorem for theBenchmark.p
% 107.26/15.29
% 107.26/15.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 107.26/15.30
% 107.26/15.31
%------------------------------------------------------------------------------