%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV118+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:11 PM UTC 2026
% Result : Theorem 18.87s 3.39s
% Output : Refutation 19.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 94
% Syntax : Number of formulae : 653 ( 28 unt; 92 def)
% Number of atoms : 3545 ( 286 equ)
% Maximal formula atoms : 136 ( 5 avg)
% Number of connectives : 4396 (1504 ~;2001 |; 738 &)
% ( 71 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 96 ( 94 usr; 91 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 42 con; 0-4 aty)
% Number of variables : 696 ( 0 sgn 502 !; 194 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(n0,X8)
& leq(X8,X7)
& leq(n0,X9)
& leq(X9,X7) )
=> a_select3(X3,X8,X9) = a_select3(X3,X9,X8) )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(X8,X6)
& leq(n0,X9)
& leq(X9,X6) )
=> a_select3(X0,X8,X9) = a_select3(X0,X9,X8) )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(X8,X6)
& leq(n0,X9)
& leq(X9,X6) )
=> a_select3(X5,X8,X9) = a_select3(X5,X9,X8) ) )
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(X8,X6)
& leq(n0,X9)
& leq(X9,X6) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f53,conjecture,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,minus(n3,n1))
& leq(X3,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,minus(n6,n1))
& leq(X5,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(n6,n1)) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
=> ( ( ~ gt(pv5,n0)
=> ( ( ~ gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,minus(n6,n1)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) ) ) )
& ( gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X18,X19] :
( ( leq(n0,X18)
& leq(n0,X19)
& leq(X18,minus(n6,n1))
& leq(X19,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X18,X19) = a_select3(q_ds1_filter,X19,X18) )
& ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X20,minus(n3,n1))
& leq(X21,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X20,X21) = a_select3(r_ds1_filter,X21,X20) )
& ! [X22,X23] :
( ( leq(n0,X22)
& leq(n0,X23)
& leq(X22,minus(n6,n1))
& leq(X23,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22) )
& ! [X24,X25] :
( ( leq(n0,X24)
& leq(n0,X25)
& leq(X24,minus(n6,n1))
& leq(X25,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24) )
& ! [X26] :
( ( leq(n0,X26)
& leq(X26,minus(n6,n1)) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X26,X27) = a_select3(id_ds1_filter,X27,X26) ) ) ) ) ) )
& ( gt(pv5,n0)
=> ( ( ~ gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n3,n1))
& leq(X31,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X30,X31) = a_select3(r_ds1_filter,X31,X30) )
& ! [X32,X33] :
( ( leq(n0,X32)
& leq(n0,X33)
& leq(X32,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32) )
& ! [X34,X35] :
( ( leq(n0,X34)
& leq(n0,X35)
& leq(X34,minus(n6,n1))
& leq(X35,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34) )
& ! [X36] :
( ( leq(n0,X36)
& leq(X36,minus(n6,n1)) )
=> ! [X37] :
( ( leq(n0,X37)
& leq(X37,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36) ) ) ) )
& ( gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X38,X39] :
( ( leq(n0,X38)
& leq(n0,X39)
& leq(X38,minus(n6,n1))
& leq(X39,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X38,X39) = a_select3(q_ds1_filter,X39,X38) )
& ! [X40,X41] :
( ( leq(n0,X40)
& leq(n0,X41)
& leq(X40,minus(n3,n1))
& leq(X41,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X40,X41) = a_select3(r_ds1_filter,X41,X40) )
& ! [X42,X43] :
( ( leq(n0,X42)
& leq(n0,X43)
& leq(X42,minus(n6,n1))
& leq(X43,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),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) )
& ! [X44,X45] :
( ( leq(n0,X44)
& leq(n0,X45)
& leq(X44,minus(n6,n1))
& leq(X45,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),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) )
& ! [X46] :
( ( leq(n0,X46)
& leq(X46,minus(n6,n1)) )
=> ! [X47] :
( ( leq(n0,X47)
& leq(X47,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X46,X47) = a_select3(id_ds1_filter,X47,X46) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0011) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,minus(n3,n1))
& leq(X3,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,minus(n6,n1))
& leq(X5,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(n6,n1)) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
=> ( ( ~ gt(pv5,n0)
=> ( ( ~ gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) )
& ! [X14,X15] :
( ( leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,minus(n6,n1)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) ) ) )
& ( gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X18,X19] :
( ( leq(n0,X18)
& leq(n0,X19)
& leq(X18,minus(n6,n1))
& leq(X19,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X18,X19) = a_select3(q_ds1_filter,X19,X18) )
& ! [X20,X21] :
( ( leq(n0,X20)
& leq(n0,X21)
& leq(X20,minus(n3,n1))
& leq(X21,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X20,X21) = a_select3(r_ds1_filter,X21,X20) )
& ! [X22,X23] :
( ( leq(n0,X22)
& leq(n0,X23)
& leq(X22,minus(n6,n1))
& leq(X23,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22) )
& ! [X24,X25] :
( ( leq(n0,X24)
& leq(n0,X25)
& leq(X24,minus(n6,n1))
& leq(X25,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24) )
& ! [X26] :
( ( leq(n0,X26)
& leq(X26,minus(n6,n1)) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X26,X27) = a_select3(id_ds1_filter,X27,X26) ) ) ) ) ) )
& ( gt(pv5,n0)
=> ( ( ~ gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X30,X31] :
( ( leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n3,n1))
& leq(X31,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X30,X31) = a_select3(r_ds1_filter,X31,X30) )
& ! [X32,X33] :
( ( leq(n0,X32)
& leq(n0,X33)
& leq(X32,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32) )
& ! [X34,X35] :
( ( leq(n0,X34)
& leq(n0,X35)
& leq(X34,minus(n6,n1))
& leq(X35,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34) )
& ! [X36] :
( ( leq(n0,X36)
& leq(X36,minus(n6,n1)) )
=> ! [X37] :
( ( leq(n0,X37)
& leq(X37,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36) ) ) ) )
& ( gt(pv5,n0)
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X38,X39] :
( ( leq(n0,X38)
& leq(n0,X39)
& leq(X38,minus(n6,n1))
& leq(X39,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X38,X39) = a_select3(q_ds1_filter,X39,X38) )
& ! [X40,X41] :
( ( leq(n0,X40)
& leq(n0,X41)
& leq(X40,minus(n3,n1))
& leq(X41,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X40,X41) = a_select3(r_ds1_filter,X41,X40) )
& ! [X42,X43] :
( ( leq(n0,X42)
& leq(n0,X43)
& leq(X42,minus(n6,n1))
& leq(X43,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),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) )
& ! [X44,X45] :
( ( leq(n0,X44)
& leq(n0,X45)
& leq(X44,minus(n6,n1))
& leq(X45,minus(n6,n1)) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),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) )
& ! [X46] :
( ( leq(n0,X46)
& leq(X46,minus(n6,n1)) )
=> ! [X47] :
( ( leq(n0,X47)
& leq(X47,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X46,X47) = a_select3(id_ds1_filter,X47,X46) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(n0,X8)
& leq(X8,X7)
& leq(n0,X9)
& leq(X9,X7) )
=> a_select3(X3,X8,X9) = a_select3(X3,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X6)
& leq(n0,X11)
& leq(X11,X6) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(X12,X6)
& leq(n0,X13)
& leq(X13,X6) )
=> a_select3(X5,X12,X13) = a_select3(X5,X13,X12) ) )
=> ! [X14,X15] :
( ( leq(n0,X14)
& leq(X14,X6)
& leq(n0,X15)
& leq(X15,X6) )
=> 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(f121,plain,
( ( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
| ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ? [X12,X13] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ? [X14,X15] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(n6,n1)) ) )
& ~ gt(pv5,n0) )
| ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(n0,X18)
& leq(n0,X19)
& leq(X18,minus(n6,n1))
& leq(X19,minus(n6,n1)) )
| ? [X20,X21] :
( a_select3(r_ds1_filter,X20,X21) != a_select3(r_ds1_filter,X21,X20)
& leq(n0,X20)
& leq(n0,X21)
& leq(X20,minus(n3,n1))
& leq(X21,minus(n3,n1)) )
| ? [X22,X23] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22)
& leq(n0,X22)
& leq(n0,X23)
& leq(X22,minus(n6,n1))
& leq(X23,minus(n6,n1)) )
| ? [X24,X25] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24)
& leq(n0,X24)
& leq(n0,X25)
& leq(X24,minus(n6,n1))
& leq(X25,minus(n6,n1)) )
| ? [X26] :
( ? [X27] :
( a_select3(id_ds1_filter,X26,X27) != a_select3(id_ds1_filter,X27,X26)
& leq(n0,X27)
& leq(X27,minus(n6,n1)) )
& leq(n0,X26)
& leq(X26,minus(n6,n1)) ) )
& gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X28,X29] :
( a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28)
& leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
| ? [X30,X31] :
( a_select3(r_ds1_filter,X30,X31) != a_select3(r_ds1_filter,X31,X30)
& leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n3,n1))
& leq(X31,minus(n3,n1)) )
| ? [X32,X33] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32)
& leq(n0,X32)
& leq(n0,X33)
& leq(X32,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
| ? [X34,X35] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34)
& leq(n0,X34)
& leq(n0,X35)
& leq(X34,minus(n6,n1))
& leq(X35,minus(n6,n1)) )
| ? [X36] :
( ? [X37] :
( a_select3(id_ds1_filter,X36,X37) != a_select3(id_ds1_filter,X37,X36)
& leq(n0,X37)
& leq(X37,minus(n6,n1)) )
& leq(n0,X36)
& leq(X36,minus(n6,n1)) ) )
& ~ gt(pv5,n0) )
| ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X38,X39] :
( a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38)
& leq(n0,X38)
& leq(n0,X39)
& leq(X38,minus(n6,n1))
& leq(X39,minus(n6,n1)) )
| ? [X40,X41] :
( a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40)
& leq(n0,X40)
& leq(n0,X41)
& leq(X40,minus(n3,n1))
& leq(X41,minus(n3,n1)) )
| ? [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))))))),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)
& leq(n0,X42)
& leq(n0,X43)
& leq(X42,minus(n6,n1))
& leq(X43,minus(n6,n1)) )
| ? [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))))))),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)
& leq(n0,X44)
& leq(n0,X45)
& leq(X44,minus(n6,n1))
& leq(X45,minus(n6,n1)) )
| ? [X46] :
( ? [X47] :
( a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46)
& leq(n0,X47)
& leq(X47,minus(n6,n1)) )
& leq(n0,X46)
& leq(X46,minus(n6,n1)) ) )
& gt(pv5,n0) ) )
& gt(pv5,n0) ) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(n6,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f122,plain,
( ( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
| ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ? [X12,X13] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ? [X14,X15] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(n6,n1)) ) )
& ~ gt(pv5,n0) )
| ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(n0,X18)
& leq(n0,X19)
& leq(X18,minus(n6,n1))
& leq(X19,minus(n6,n1)) )
| ? [X20,X21] :
( a_select3(r_ds1_filter,X20,X21) != a_select3(r_ds1_filter,X21,X20)
& leq(n0,X20)
& leq(n0,X21)
& leq(X20,minus(n3,n1))
& leq(X21,minus(n3,n1)) )
| ? [X22,X23] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22)
& leq(n0,X22)
& leq(n0,X23)
& leq(X22,minus(n6,n1))
& leq(X23,minus(n6,n1)) )
| ? [X24,X25] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24)
& leq(n0,X24)
& leq(n0,X25)
& leq(X24,minus(n6,n1))
& leq(X25,minus(n6,n1)) )
| ? [X26] :
( ? [X27] :
( a_select3(id_ds1_filter,X26,X27) != a_select3(id_ds1_filter,X27,X26)
& leq(n0,X27)
& leq(X27,minus(n6,n1)) )
& leq(n0,X26)
& leq(X26,minus(n6,n1)) ) )
& gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X28,X29] :
( a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28)
& leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
| ? [X30,X31] :
( a_select3(r_ds1_filter,X30,X31) != a_select3(r_ds1_filter,X31,X30)
& leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n3,n1))
& leq(X31,minus(n3,n1)) )
| ? [X32,X33] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32)
& leq(n0,X32)
& leq(n0,X33)
& leq(X32,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
| ? [X34,X35] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34)
& leq(n0,X34)
& leq(n0,X35)
& leq(X34,minus(n6,n1))
& leq(X35,minus(n6,n1)) )
| ? [X36] :
( ? [X37] :
( a_select3(id_ds1_filter,X36,X37) != a_select3(id_ds1_filter,X37,X36)
& leq(n0,X37)
& leq(X37,minus(n6,n1)) )
& leq(n0,X36)
& leq(X36,minus(n6,n1)) ) )
& ~ gt(pv5,n0) )
| ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X38,X39] :
( a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38)
& leq(n0,X38)
& leq(n0,X39)
& leq(X38,minus(n6,n1))
& leq(X39,minus(n6,n1)) )
| ? [X40,X41] :
( a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40)
& leq(n0,X40)
& leq(n0,X41)
& leq(X40,minus(n3,n1))
& leq(X41,minus(n3,n1)) )
| ? [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))))))),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)
& leq(n0,X42)
& leq(n0,X43)
& leq(X42,minus(n6,n1))
& leq(X43,minus(n6,n1)) )
| ? [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))))))),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)
& leq(n0,X44)
& leq(n0,X45)
& leq(X44,minus(n6,n1))
& leq(X45,minus(n6,n1)) )
| ? [X46] :
( ? [X47] :
( a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46)
& leq(n0,X47)
& leq(X47,minus(n6,n1)) )
& leq(n0,X46)
& leq(X46,minus(n6,n1)) ) )
& gt(pv5,n0) ) )
& gt(pv5,n0) ) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(n6,n1)) ) ),
inference(flattening,[],[f121]) ).
fof(f136,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(n0,X14)
| ~ leq(X14,X6)
| ~ leq(n0,X15)
| ~ leq(X15,X6) )
| ? [X8,X9] :
( a_select3(X3,X8,X9) != a_select3(X3,X9,X8)
& leq(n0,X8)
& leq(X8,X7)
& leq(n0,X9)
& leq(X9,X7) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(n0,X10)
& leq(X10,X6)
& leq(n0,X11)
& leq(X11,X6) )
| ? [X12,X13] :
( a_select3(X5,X12,X13) != a_select3(X5,X13,X12)
& leq(n0,X12)
& leq(X12,X6)
& leq(n0,X13)
& leq(X13,X6) ) ),
inference(ennf_transformation,[],[f113]) ).
fof(f137,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(n0,X14)
| ~ leq(X14,X6)
| ~ leq(n0,X15)
| ~ leq(X15,X6) )
| ? [X8,X9] :
( a_select3(X3,X8,X9) != a_select3(X3,X9,X8)
& leq(n0,X8)
& leq(X8,X7)
& leq(n0,X9)
& leq(X9,X7) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(n0,X10)
& leq(X10,X6)
& leq(n0,X11)
& leq(X11,X6) )
| ? [X12,X13] :
( a_select3(X5,X12,X13) != a_select3(X5,X13,X12)
& leq(n0,X12)
& leq(X12,X6)
& leq(n0,X13)
& leq(X13,X6) ) ),
inference(flattening,[],[f136]) ).
fof(f175,definition,
( ? [X46] :
( ? [X47] :
( a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46)
& leq(n0,X47)
& leq(X47,minus(n6,n1)) )
& leq(n0,X46)
& leq(X46,minus(n6,n1)) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f176,definition,
( ? [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))))))),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)
& leq(n0,X44)
& leq(n0,X45)
& leq(X44,minus(n6,n1))
& leq(X45,minus(n6,n1)) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f177,definition,
( ? [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))))))),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)
& leq(n0,X42)
& leq(n0,X43)
& leq(X42,minus(n6,n1))
& leq(X43,minus(n6,n1)) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f178,definition,
( ? [X40,X41] :
( a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40)
& leq(n0,X40)
& leq(n0,X41)
& leq(X40,minus(n3,n1))
& leq(X41,minus(n3,n1)) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f179,definition,
( ? [X36] :
( ? [X37] :
( a_select3(id_ds1_filter,X36,X37) != a_select3(id_ds1_filter,X37,X36)
& leq(n0,X37)
& leq(X37,minus(n6,n1)) )
& leq(n0,X36)
& leq(X36,minus(n6,n1)) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f180,definition,
( ? [X34,X35] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34)
& leq(n0,X34)
& leq(n0,X35)
& leq(X34,minus(n6,n1))
& leq(X35,minus(n6,n1)) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f181,definition,
( ? [X32,X33] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32)
& leq(n0,X32)
& leq(n0,X33)
& leq(X32,minus(n6,n1))
& leq(X33,minus(n6,n1)) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f182,definition,
( ? [X30,X31] :
( a_select3(r_ds1_filter,X30,X31) != a_select3(r_ds1_filter,X31,X30)
& leq(n0,X30)
& leq(n0,X31)
& leq(X30,minus(n3,n1))
& leq(X31,minus(n3,n1)) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f183,definition,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X38,X39] :
( a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38)
& leq(n0,X38)
& leq(n0,X39)
& leq(X38,minus(n6,n1))
& leq(X39,minus(n6,n1)) )
| sP3
| sP2
| sP1
| sP0 )
& gt(pv5,n0) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f184,definition,
( ? [X26] :
( ? [X27] :
( a_select3(id_ds1_filter,X26,X27) != a_select3(id_ds1_filter,X27,X26)
& leq(n0,X27)
& leq(X27,minus(n6,n1)) )
& leq(n0,X26)
& leq(X26,minus(n6,n1)) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f185,definition,
( ? [X24,X25] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24)
& leq(n0,X24)
& leq(n0,X25)
& leq(X24,minus(n6,n1))
& leq(X25,minus(n6,n1)) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f186,definition,
( ? [X22,X23] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22)
& leq(n0,X22)
& leq(n0,X23)
& leq(X22,minus(n6,n1))
& leq(X23,minus(n6,n1)) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f187,definition,
( ? [X20,X21] :
( a_select3(r_ds1_filter,X20,X21) != a_select3(r_ds1_filter,X21,X20)
& leq(n0,X20)
& leq(n0,X21)
& leq(X20,minus(n3,n1))
& leq(X21,minus(n3,n1)) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f188,definition,
( ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(n6,n1)) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f189,definition,
( ? [X14,X15] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f190,definition,
( ? [X12,X13] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f191,definition,
( ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f192,definition,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(n0,X18)
& leq(n0,X19)
& leq(X18,minus(n6,n1))
& leq(X19,minus(n6,n1)) )
| sP12
| sP11
| sP10
| sP9 )
& gt(pv5,n0) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f193,definition,
( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X28,X29] :
( a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28)
& leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
| sP7
| sP6
| sP5
| sP4 )
& ~ gt(pv5,n0) )
| sP8 )
& gt(pv5,n0) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f194,plain,
( ( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8)
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1))
& leq(X9,minus(n6,n1)) )
| sP16
| sP15
| sP14
| sP13 )
& ~ gt(pv5,n0) )
| sP17 )
& ~ gt(pv5,n0) )
| sP18 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(X5,minus(n6,n1)) )
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(n6,n1)) ) ),
inference(definition_folding,[],[f122,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175]) ).
fof(f195,definition,
! [X5,X6] :
( ? [X12,X13] :
( a_select3(X5,X12,X13) != a_select3(X5,X13,X12)
& leq(n0,X12)
& leq(X12,X6)
& leq(n0,X13)
& leq(X13,X6) )
| ~ sP19(X5,X6) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f196,definition,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(n0,X10)
& leq(X10,X6)
& leq(n0,X11)
& leq(X11,X6) )
| ~ sP20(X0,X6) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
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(n0,X14)
| ~ leq(X14,X6)
| ~ leq(n0,X15)
| ~ leq(X15,X6) )
| ? [X8,X9] :
( a_select3(X3,X8,X9) != a_select3(X3,X9,X8)
& leq(n0,X8)
& leq(X8,X7)
& leq(n0,X9)
& leq(X9,X7) )
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(definition_folding,[],[f137,f196,f195]) ).
fof(f202,plain,
( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X28,X29] :
( a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28)
& leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
| sP7
| sP6
| sP5
| sP4 )
& ~ gt(pv5,n0) )
| sP8 )
& gt(pv5,n0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f193]) ).
fof(f203,plain,
( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| sP7
| sP6
| sP5
| sP4 )
& ~ gt(pv5,n0) )
| sP8 )
& gt(pv5,n0) )
| ~ sP18 ),
inference(rectify,[],[f202]) ).
fof(f204,plain,
( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK23,sK24) != a_select3(q_ds1_filter,sK24,sK23)
& leq(n0,sK23)
& leq(n0,sK24)
& leq(sK23,minus(n6,n1))
& leq(sK24,minus(n6,n1)) )
| sP7
| sP6
| sP5
| sP4 )
& ~ gt(pv5,n0) )
| sP8 )
& gt(pv5,n0) )
| ~ sP18 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f203]) ).
fof(f205,plain,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(n0,X18)
& leq(n0,X19)
& leq(X18,minus(n6,n1))
& leq(X19,minus(n6,n1)) )
| sP12
| sP11
| sP10
| sP9 )
& gt(pv5,n0) )
| ~ sP17 ),
inference(nnf_transformation,[],[f192]) ).
fof(f206,plain,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| sP12
| sP11
| sP10
| sP9 )
& gt(pv5,n0) )
| ~ sP17 ),
inference(rectify,[],[f205]) ).
fof(f207,plain,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK25,sK26) != a_select3(q_ds1_filter,sK26,sK25)
& leq(n0,sK25)
& leq(n0,sK26)
& leq(sK25,minus(n6,n1))
& leq(sK26,minus(n6,n1)) )
| sP12
| sP11
| sP10
| sP9 )
& gt(pv5,n0) )
| ~ sP17 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f206]) ).
fof(f208,plain,
( ? [X10,X11] :
( a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10)
& leq(n0,X10)
& leq(n0,X11)
& leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
| ~ sP16 ),
inference(nnf_transformation,[],[f191]) ).
fof(f209,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1)) )
| ~ sP16 ),
inference(rectify,[],[f208]) ).
fof(f210,plain,
( ( a_select3(r_ds1_filter,sK27,sK28) != a_select3(r_ds1_filter,sK28,sK27)
& leq(n0,sK27)
& leq(n0,sK28)
& leq(sK27,minus(n3,n1))
& leq(sK28,minus(n3,n1)) )
| ~ sP16 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28]),skolemize(X0,sK27),skolemize(X1,sK28)],[f209]) ).
fof(f211,plain,
( ? [X12,X13] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12)
& leq(n0,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1)) )
| ~ sP15 ),
inference(nnf_transformation,[],[f190]) ).
fof(f212,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(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| ~ sP15 ),
inference(rectify,[],[f211]) ).
fof(f213,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK30,sK29)
& leq(n0,sK29)
& leq(n0,sK30)
& leq(sK29,minus(n6,n1))
& leq(sK30,minus(n6,n1)) )
| ~ sP15 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X0,sK29),skolemize(X1,sK30)],[f212]) ).
fof(f214,plain,
( ? [X14,X15] :
( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14)
& leq(n0,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ~ sP14 ),
inference(nnf_transformation,[],[f189]) ).
fof(f215,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(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| ~ sP14 ),
inference(rectify,[],[f214]) ).
fof(f216,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK32,sK31)
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,minus(n6,n1))
& leq(sK32,minus(n6,n1)) )
| ~ sP14 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f215]) ).
fof(f217,plain,
( ? [X16] :
( ? [X17] :
( a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16)
& leq(n0,X17)
& leq(X17,minus(n6,n1)) )
& leq(n0,X16)
& leq(X16,minus(n6,n1)) )
| ~ sP13 ),
inference(nnf_transformation,[],[f188]) ).
fof(f218,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(n0,X1)
& leq(X1,minus(n6,n1)) )
& leq(n0,X0)
& leq(X0,minus(n6,n1)) )
| ~ sP13 ),
inference(rectify,[],[f217]) ).
fof(f219,plain,
( ( a_select3(id_ds1_filter,sK33,sK34) != a_select3(id_ds1_filter,sK34,sK33)
& leq(n0,sK34)
& leq(sK34,minus(n6,n1))
& leq(n0,sK33)
& leq(sK33,minus(n6,n1)) )
| ~ sP13 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33,sK34]),skolemize(X0,sK33),skolemize(X1,sK34)],[f218]) ).
fof(f232,plain,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X38,X39] :
( a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38)
& leq(n0,X38)
& leq(n0,X39)
& leq(X38,minus(n6,n1))
& leq(X39,minus(n6,n1)) )
| sP3
| sP2
| sP1
| sP0 )
& gt(pv5,n0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f183]) ).
fof(f233,plain,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| sP3
| sP2
| sP1
| sP0 )
& gt(pv5,n0) )
| ~ sP8 ),
inference(rectify,[],[f232]) ).
fof(f234,plain,
( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK43,sK44) != a_select3(q_ds1_filter,sK44,sK43)
& leq(n0,sK43)
& leq(n0,sK44)
& leq(sK43,minus(n6,n1))
& leq(sK44,minus(n6,n1)) )
| sP3
| sP2
| sP1
| sP0 )
& gt(pv5,n0) )
| ~ sP8 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44]),skolemize(X0,sK43),skolemize(X1,sK44)],[f233]) ).
fof(f247,plain,
( ? [X40,X41] :
( a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40)
& leq(n0,X40)
& leq(n0,X41)
& leq(X40,minus(n3,n1))
& leq(X41,minus(n3,n1)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f178]) ).
fof(f248,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1)) )
| ~ sP3 ),
inference(rectify,[],[f247]) ).
fof(f249,plain,
( ( a_select3(r_ds1_filter,sK53,sK54) != a_select3(r_ds1_filter,sK54,sK53)
& leq(n0,sK53)
& leq(n0,sK54)
& leq(sK53,minus(n3,n1))
& leq(sK54,minus(n3,n1)) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X1,sK54)],[f248]) ).
fof(f250,plain,
( ? [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))))))),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)
& leq(n0,X42)
& leq(n0,X43)
& leq(X42,minus(n6,n1))
& leq(X43,minus(n6,n1)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f177]) ).
fof(f251,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(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| ~ sP2 ),
inference(rectify,[],[f250]) ).
fof(f252,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK55)
& leq(n0,sK55)
& leq(n0,sK56)
& leq(sK55,minus(n6,n1))
& leq(sK56,minus(n6,n1)) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55,sK56]),skolemize(X0,sK55),skolemize(X1,sK56)],[f251]) ).
fof(f253,plain,
( ? [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))))))),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)
& leq(n0,X44)
& leq(n0,X45)
& leq(X44,minus(n6,n1))
& leq(X45,minus(n6,n1)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f176]) ).
fof(f254,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(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| ~ sP1 ),
inference(rectify,[],[f253]) ).
fof(f255,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK58,sK57)
& leq(n0,sK57)
& leq(n0,sK58)
& leq(sK57,minus(n6,n1))
& leq(sK58,minus(n6,n1)) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58]),skolemize(X0,sK57),skolemize(X1,sK58)],[f254]) ).
fof(f256,plain,
( ? [X46] :
( ? [X47] :
( a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46)
& leq(n0,X47)
& leq(X47,minus(n6,n1)) )
& leq(n0,X46)
& leq(X46,minus(n6,n1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f175]) ).
fof(f257,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(n0,X1)
& leq(X1,minus(n6,n1)) )
& leq(n0,X0)
& leq(X0,minus(n6,n1)) )
| ~ sP0 ),
inference(rectify,[],[f256]) ).
fof(f258,plain,
( ( a_select3(id_ds1_filter,sK59,sK60) != a_select3(id_ds1_filter,sK60,sK59)
& leq(n0,sK60)
& leq(sK60,minus(n6,n1))
& leq(n0,sK59)
& leq(sK59,minus(n6,n1)) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59,sK60]),skolemize(X0,sK59),skolemize(X1,sK60)],[f257]) ).
fof(f259,plain,
( ( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1)) )
| sP16
| sP15
| sP14
| sP13 )
& ~ gt(pv5,n0) )
| sP17 )
& ~ gt(pv5,n0) )
| sP18 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8] :
( ! [X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1)) )
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) ) ),
inference(rectify,[],[f194]) ).
fof(f260,plain,
( ( ( ( ( ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK61,sK62) != a_select3(q_ds1_filter,sK62,sK61)
& leq(n0,sK61)
& leq(n0,sK62)
& leq(sK61,minus(n6,n1))
& leq(sK62,minus(n6,n1)) )
| sP16
| sP15
| sP14
| sP13 )
& ~ gt(pv5,n0) )
| sP17 )
& ~ gt(pv5,n0) )
| sP18 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) )
& ! [X8] :
( ! [X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1)) )
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61,sK62]),skolemize(X0,sK61),skolemize(X1,sK62)],[f259]) ).
fof(f262,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(n0,X10)
& leq(X10,X6)
& leq(n0,X11)
& leq(X11,X6) )
| ~ sP20(X0,X6) ),
inference(nnf_transformation,[],[f196]) ).
fof(f263,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(n0,X2)
& leq(X2,X1)
& leq(n0,X3)
& leq(X3,X1) )
| ~ sP20(X0,X1) ),
inference(rectify,[],[f262]) ).
fof(f264,plain,
! [X0,X1] :
( ( a_select3(X0,sK65(X0,X1),sK66(X0,X1)) != a_select3(X0,sK66(X0,X1),sK65(X0,X1))
& leq(n0,sK65(X0,X1))
& leq(sK65(X0,X1),X1)
& leq(n0,sK66(X0,X1))
& leq(sK66(X0,X1),X1) )
| ~ sP20(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66]),skolemize(X2,sK65(X0,X1)),skolemize(X3,sK66(X0,X1))],[f263]) ).
fof(f265,plain,
! [X5,X6] :
( ? [X12,X13] :
( a_select3(X5,X12,X13) != a_select3(X5,X13,X12)
& leq(n0,X12)
& leq(X12,X6)
& leq(n0,X13)
& leq(X13,X6) )
| ~ sP19(X5,X6) ),
inference(nnf_transformation,[],[f195]) ).
fof(f266,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(n0,X2)
& leq(X2,X1)
& leq(n0,X3)
& leq(X3,X1) )
| ~ sP19(X0,X1) ),
inference(rectify,[],[f265]) ).
fof(f267,plain,
! [X0,X1] :
( ( a_select3(X0,sK67(X0,X1),sK68(X0,X1)) != a_select3(X0,sK68(X0,X1),sK67(X0,X1))
& leq(n0,sK67(X0,X1))
& leq(sK67(X0,X1),X1)
& leq(n0,sK68(X0,X1))
& leq(sK68(X0,X1),X1) )
| ~ sP19(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67,sK68]),skolemize(X2,sK67(X0,X1)),skolemize(X3,sK68(X0,X1))],[f266]) ).
fof(f268,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(n0,X8)
| ~ leq(X8,X6)
| ~ leq(n0,X9)
| ~ leq(X9,X6) )
| ? [X10,X11] :
( a_select3(X3,X10,X11) != a_select3(X3,X11,X10)
& leq(n0,X10)
& leq(X10,X7)
& leq(n0,X11)
& leq(X11,X7) )
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(rectify,[],[f197]) ).
fof(f269,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(n0,X8)
| ~ leq(X8,X6)
| ~ leq(n0,X9)
| ~ leq(X9,X6) )
| ( a_select3(X3,sK69(X3,X7),sK70(X3,X7)) != a_select3(X3,sK70(X3,X7),sK69(X3,X7))
& leq(n0,sK69(X3,X7))
& leq(sK69(X3,X7),X7)
& leq(n0,sK70(X3,X7))
& leq(sK70(X3,X7),X7) )
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69,sK70]),skolemize(X10,sK69(X3,X7)),skolemize(X11,sK70(X3,X7))],[f268]) ).
fof(f294,plain,
( gt(pv5,n0)
| ~ sP18 ),
inference(cnf_transformation,[],[f204]) ).
fof(f295,plain,
( ~ gt(pv5,n0)
| sP8
| ~ sP18 ),
inference(cnf_transformation,[],[f204]) ).
fof(f301,plain,
( gt(pv5,n0)
| ~ sP17 ),
inference(cnf_transformation,[],[f207]) ).
fof(f307,plain,
( leq(sK28,minus(n3,n1))
| ~ sP16 ),
inference(cnf_transformation,[],[f210]) ).
fof(f308,plain,
( leq(sK27,minus(n3,n1))
| ~ sP16 ),
inference(cnf_transformation,[],[f210]) ).
fof(f309,plain,
( leq(n0,sK28)
| ~ sP16 ),
inference(cnf_transformation,[],[f210]) ).
fof(f310,plain,
( leq(n0,sK27)
| ~ sP16 ),
inference(cnf_transformation,[],[f210]) ).
fof(f311,plain,
( a_select3(r_ds1_filter,sK27,sK28) != a_select3(r_ds1_filter,sK28,sK27)
| ~ sP16 ),
inference(cnf_transformation,[],[f210]) ).
fof(f312,plain,
( leq(sK30,minus(n6,n1))
| ~ sP15 ),
inference(cnf_transformation,[],[f213]) ).
fof(f313,plain,
( leq(sK29,minus(n6,n1))
| ~ sP15 ),
inference(cnf_transformation,[],[f213]) ).
fof(f314,plain,
( leq(n0,sK30)
| ~ sP15 ),
inference(cnf_transformation,[],[f213]) ).
fof(f315,plain,
( leq(n0,sK29)
| ~ sP15 ),
inference(cnf_transformation,[],[f213]) ).
fof(f316,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK30,sK29)
| ~ sP15 ),
inference(cnf_transformation,[],[f213]) ).
fof(f317,plain,
( leq(sK32,minus(n6,n1))
| ~ sP14 ),
inference(cnf_transformation,[],[f216]) ).
fof(f318,plain,
( leq(sK31,minus(n6,n1))
| ~ sP14 ),
inference(cnf_transformation,[],[f216]) ).
fof(f319,plain,
( leq(n0,sK32)
| ~ sP14 ),
inference(cnf_transformation,[],[f216]) ).
fof(f320,plain,
( leq(n0,sK31)
| ~ sP14 ),
inference(cnf_transformation,[],[f216]) ).
fof(f321,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK32,sK31)
| ~ sP14 ),
inference(cnf_transformation,[],[f216]) ).
fof(f322,plain,
( leq(sK33,minus(n6,n1))
| ~ sP13 ),
inference(cnf_transformation,[],[f219]) ).
fof(f323,plain,
( leq(n0,sK33)
| ~ sP13 ),
inference(cnf_transformation,[],[f219]) ).
fof(f324,plain,
( leq(sK34,minus(n6,n1))
| ~ sP13 ),
inference(cnf_transformation,[],[f219]) ).
fof(f325,plain,
( leq(n0,sK34)
| ~ sP13 ),
inference(cnf_transformation,[],[f219]) ).
fof(f326,plain,
( a_select3(id_ds1_filter,sK33,sK34) != a_select3(id_ds1_filter,sK34,sK33)
| ~ sP13 ),
inference(cnf_transformation,[],[f219]) ).
fof(f348,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK44,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(cnf_transformation,[],[f234]) ).
fof(f349,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK43,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(cnf_transformation,[],[f234]) ).
fof(f350,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK44)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(cnf_transformation,[],[f234]) ).
fof(f351,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK43)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(cnf_transformation,[],[f234]) ).
fof(f352,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| a_select3(q_ds1_filter,sK43,sK44) != a_select3(q_ds1_filter,sK44,sK43)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(cnf_transformation,[],[f234]) ).
fof(f373,plain,
( leq(sK54,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f249]) ).
fof(f374,plain,
( leq(sK53,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f249]) ).
fof(f375,plain,
( leq(n0,sK54)
| ~ sP3 ),
inference(cnf_transformation,[],[f249]) ).
fof(f376,plain,
( leq(n0,sK53)
| ~ sP3 ),
inference(cnf_transformation,[],[f249]) ).
fof(f377,plain,
( a_select3(r_ds1_filter,sK53,sK54) != a_select3(r_ds1_filter,sK54,sK53)
| ~ sP3 ),
inference(cnf_transformation,[],[f249]) ).
fof(f378,plain,
( leq(sK56,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f252]) ).
fof(f379,plain,
( leq(sK55,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f252]) ).
fof(f380,plain,
( leq(n0,sK56)
| ~ sP2 ),
inference(cnf_transformation,[],[f252]) ).
fof(f381,plain,
( leq(n0,sK55)
| ~ sP2 ),
inference(cnf_transformation,[],[f252]) ).
fof(f382,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK55)
| ~ sP2 ),
inference(cnf_transformation,[],[f252]) ).
fof(f383,plain,
( leq(sK58,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f255]) ).
fof(f384,plain,
( leq(sK57,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f255]) ).
fof(f385,plain,
( leq(n0,sK58)
| ~ sP1 ),
inference(cnf_transformation,[],[f255]) ).
fof(f386,plain,
( leq(n0,sK57)
| ~ sP1 ),
inference(cnf_transformation,[],[f255]) ).
fof(f387,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK58,sK57)
| ~ sP1 ),
inference(cnf_transformation,[],[f255]) ).
fof(f388,plain,
( leq(sK59,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f389,plain,
( leq(n0,sK59)
| ~ sP0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f390,plain,
( leq(sK60,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f391,plain,
( leq(n0,sK60)
| ~ sP0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f392,plain,
( a_select3(id_ds1_filter,sK59,sK60) != a_select3(id_ds1_filter,sK60,sK59)
| ~ sP0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f393,plain,
! [X8,X9] :
( a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) ),
inference(cnf_transformation,[],[f260]) ).
fof(f394,plain,
! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1)) ),
inference(cnf_transformation,[],[f260]) ).
fof(f395,plain,
! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f260]) ).
fof(f396,plain,
! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1)) ),
inference(cnf_transformation,[],[f260]) ).
fof(f397,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f260]) ).
fof(f398,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f260]) ).
fof(f399,plain,
( ~ gt(pv5,n0)
| sP18 ),
inference(cnf_transformation,[],[f260]) ).
fof(f401,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK62,minus(n6,n1))
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(cnf_transformation,[],[f260]) ).
fof(f402,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK61,minus(n6,n1))
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(cnf_transformation,[],[f260]) ).
fof(f403,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK62)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(cnf_transformation,[],[f260]) ).
fof(f404,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK61)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(cnf_transformation,[],[f260]) ).
fof(f405,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| a_select3(q_ds1_filter,sK61,sK62) != a_select3(q_ds1_filter,sK62,sK61)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(cnf_transformation,[],[f260]) ).
fof(f421,plain,
! [X0,X1] :
( leq(sK66(X0,X1),X1)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f422,plain,
! [X0,X1] :
( leq(n0,sK66(X0,X1))
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f423,plain,
! [X0,X1] :
( leq(sK65(X0,X1),X1)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f424,plain,
! [X0,X1] :
( leq(n0,sK65(X0,X1))
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f425,plain,
! [X0,X1] :
( a_select3(X0,sK65(X0,X1),sK66(X0,X1)) != a_select3(X0,sK66(X0,X1),sK65(X0,X1))
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X0,X1] :
( leq(sK68(X0,X1),X1)
| ~ sP19(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X0,X1] :
( leq(n0,sK68(X0,X1))
| ~ sP19(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f428,plain,
! [X0,X1] :
( leq(sK67(X0,X1),X1)
| ~ sP19(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f429,plain,
! [X0,X1] :
( leq(n0,sK67(X0,X1))
| ~ sP19(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f430,plain,
! [X0,X1] :
( a_select3(X0,sK67(X0,X1),sK68(X0,X1)) != a_select3(X0,sK68(X0,X1),sK67(X0,X1))
| ~ sP19(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f431,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(n0,X8)
| ~ leq(X8,X6)
| ~ leq(n0,X9)
| ~ leq(X9,X6)
| leq(sK70(X3,X7),X7)
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(cnf_transformation,[],[f269]) ).
fof(f432,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(n0,X8)
| ~ leq(X8,X6)
| ~ leq(n0,X9)
| ~ leq(X9,X6)
| leq(n0,sK70(X3,X7))
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(cnf_transformation,[],[f269]) ).
fof(f433,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(n0,X8)
| ~ leq(X8,X6)
| ~ leq(n0,X9)
| ~ leq(X9,X6)
| leq(sK69(X3,X7),X7)
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(cnf_transformation,[],[f269]) ).
fof(f434,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(n0,X8)
| ~ leq(X8,X6)
| ~ leq(n0,X9)
| ~ leq(X9,X6)
| leq(n0,sK69(X3,X7))
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(cnf_transformation,[],[f269]) ).
fof(f435,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(n0,X8)
| ~ leq(X8,X6)
| ~ leq(n0,X9)
| ~ leq(X9,X6)
| a_select3(X3,sK69(X3,X7),sK70(X3,X7)) != a_select3(X3,sK70(X3,X7),sK69(X3,X7))
| sP20(X0,X6)
| sP19(X5,X6) ),
inference(cnf_transformation,[],[f269]) ).
fof(f615,definition,
( spl90_1
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl90_1])],[avatar_definition]) ).
fof(f619,definition,
( spl90_2
<=> gt(pv5,n0) ),
introduced(definition,[new_symbols(definition,[spl90_2])],[avatar_definition]) ).
fof(f622,plain,
( spl90_1
| ~ spl90_2 ),
inference(avatar_split_clause,[],[f399,f619,f615]) ).
fof(f624,definition,
( spl90_3
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl90_3])],[avatar_definition]) ).
fof(f628,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(sK62,minus(n6,n1))
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f401,f398]) ).
fof(f629,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(sK61,minus(n6,n1))
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f402,f398]) ).
fof(f630,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(n0,sK62)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f403,f398]) ).
fof(f631,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(n0,sK61)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f404,f398]) ).
fof(f632,plain,
( ~ leq(pv5,minus(n999,n1))
| a_select3(q_ds1_filter,sK61,sK62) != a_select3(q_ds1_filter,sK62,sK61)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f405,f398]) ).
fof(f634,definition,
( spl90_4
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl90_4])],[avatar_definition]) ).
fof(f638,definition,
( spl90_5
<=> leq(sK59,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_5])],[avatar_definition]) ).
fof(f640,plain,
( leq(sK59,minus(n6,n1))
| ~ spl90_5 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f641,plain,
( ~ spl90_4
| spl90_5 ),
inference(avatar_split_clause,[],[f388,f638,f634]) ).
fof(f643,definition,
( spl90_6
<=> leq(n0,sK59) ),
introduced(definition,[new_symbols(definition,[spl90_6])],[avatar_definition]) ).
fof(f645,plain,
( leq(n0,sK59)
| ~ spl90_6 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,plain,
( ~ spl90_4
| spl90_6 ),
inference(avatar_split_clause,[],[f389,f643,f634]) ).
fof(f648,definition,
( spl90_7
<=> leq(sK60,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_7])],[avatar_definition]) ).
fof(f650,plain,
( leq(sK60,minus(n6,n1))
| ~ spl90_7 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( ~ spl90_4
| spl90_7 ),
inference(avatar_split_clause,[],[f390,f648,f634]) ).
fof(f653,definition,
( spl90_8
<=> leq(n0,sK60) ),
introduced(definition,[new_symbols(definition,[spl90_8])],[avatar_definition]) ).
fof(f655,plain,
( leq(n0,sK60)
| ~ spl90_8 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f656,plain,
( ~ spl90_4
| spl90_8 ),
inference(avatar_split_clause,[],[f391,f653,f634]) ).
fof(f658,definition,
( spl90_9
<=> a_select3(id_ds1_filter,sK59,sK60) = a_select3(id_ds1_filter,sK60,sK59) ),
introduced(definition,[new_symbols(definition,[spl90_9])],[avatar_definition]) ).
fof(f660,plain,
( a_select3(id_ds1_filter,sK59,sK60) != a_select3(id_ds1_filter,sK60,sK59)
| spl90_9 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f661,plain,
( ~ spl90_4
| ~ spl90_9 ),
inference(avatar_split_clause,[],[f392,f658,f634]) ).
fof(f663,definition,
( spl90_10
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl90_10])],[avatar_definition]) ).
fof(f667,definition,
( spl90_11
<=> leq(sK58,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_11])],[avatar_definition]) ).
fof(f669,plain,
( leq(sK58,minus(n6,n1))
| ~ spl90_11 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f670,plain,
( ~ spl90_10
| spl90_11 ),
inference(avatar_split_clause,[],[f383,f667,f663]) ).
fof(f672,definition,
( spl90_12
<=> leq(sK57,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_12])],[avatar_definition]) ).
fof(f674,plain,
( leq(sK57,minus(n6,n1))
| ~ spl90_12 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f675,plain,
( ~ spl90_10
| spl90_12 ),
inference(avatar_split_clause,[],[f384,f672,f663]) ).
fof(f677,definition,
( spl90_13
<=> leq(n0,sK58) ),
introduced(definition,[new_symbols(definition,[spl90_13])],[avatar_definition]) ).
fof(f679,plain,
( leq(n0,sK58)
| ~ spl90_13 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f680,plain,
( ~ spl90_10
| spl90_13 ),
inference(avatar_split_clause,[],[f385,f677,f663]) ).
fof(f682,definition,
( spl90_14
<=> leq(n0,sK57) ),
introduced(definition,[new_symbols(definition,[spl90_14])],[avatar_definition]) ).
fof(f684,plain,
( leq(n0,sK57)
| ~ spl90_14 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f685,plain,
( ~ spl90_10
| spl90_14 ),
inference(avatar_split_clause,[],[f386,f682,f663]) ).
fof(f687,definition,
( spl90_15
<=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK58) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK58,sK57) ),
introduced(definition,[new_symbols(definition,[spl90_15])],[avatar_definition]) ).
fof(f689,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK58,sK57)
| spl90_15 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f690,plain,
( ~ spl90_10
| ~ spl90_15 ),
inference(avatar_split_clause,[],[f387,f687,f663]) ).
fof(f692,definition,
( spl90_16
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl90_16])],[avatar_definition]) ).
fof(f696,definition,
( spl90_17
<=> leq(sK56,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_17])],[avatar_definition]) ).
fof(f698,plain,
( leq(sK56,minus(n6,n1))
| ~ spl90_17 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,plain,
( ~ spl90_16
| spl90_17 ),
inference(avatar_split_clause,[],[f378,f696,f692]) ).
fof(f701,definition,
( spl90_18
<=> leq(sK55,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_18])],[avatar_definition]) ).
fof(f703,plain,
( leq(sK55,minus(n6,n1))
| ~ spl90_18 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f704,plain,
( ~ spl90_16
| spl90_18 ),
inference(avatar_split_clause,[],[f379,f701,f692]) ).
fof(f706,definition,
( spl90_19
<=> leq(n0,sK56) ),
introduced(definition,[new_symbols(definition,[spl90_19])],[avatar_definition]) ).
fof(f708,plain,
( leq(n0,sK56)
| ~ spl90_19 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f709,plain,
( ~ spl90_16
| spl90_19 ),
inference(avatar_split_clause,[],[f380,f706,f692]) ).
fof(f711,definition,
( spl90_20
<=> leq(n0,sK55) ),
introduced(definition,[new_symbols(definition,[spl90_20])],[avatar_definition]) ).
fof(f713,plain,
( leq(n0,sK55)
| ~ spl90_20 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f714,plain,
( ~ spl90_16
| spl90_20 ),
inference(avatar_split_clause,[],[f381,f711,f692]) ).
fof(f716,definition,
( spl90_21
<=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK56) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK55) ),
introduced(definition,[new_symbols(definition,[spl90_21])],[avatar_definition]) ).
fof(f718,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK55)
| spl90_21 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f719,plain,
( ~ spl90_16
| ~ spl90_21 ),
inference(avatar_split_clause,[],[f382,f716,f692]) ).
fof(f721,definition,
( spl90_22
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl90_22])],[avatar_definition]) ).
fof(f725,definition,
( spl90_23
<=> leq(sK54,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_23])],[avatar_definition]) ).
fof(f727,plain,
( leq(sK54,minus(n3,n1))
| ~ spl90_23 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f728,plain,
( ~ spl90_22
| spl90_23 ),
inference(avatar_split_clause,[],[f373,f725,f721]) ).
fof(f730,definition,
( spl90_24
<=> leq(sK53,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_24])],[avatar_definition]) ).
fof(f732,plain,
( leq(sK53,minus(n3,n1))
| ~ spl90_24 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f733,plain,
( ~ spl90_22
| spl90_24 ),
inference(avatar_split_clause,[],[f374,f730,f721]) ).
fof(f735,definition,
( spl90_25
<=> leq(n0,sK54) ),
introduced(definition,[new_symbols(definition,[spl90_25])],[avatar_definition]) ).
fof(f737,plain,
( leq(n0,sK54)
| ~ spl90_25 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f738,plain,
( ~ spl90_22
| spl90_25 ),
inference(avatar_split_clause,[],[f375,f735,f721]) ).
fof(f740,definition,
( spl90_26
<=> leq(n0,sK53) ),
introduced(definition,[new_symbols(definition,[spl90_26])],[avatar_definition]) ).
fof(f742,plain,
( leq(n0,sK53)
| ~ spl90_26 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f743,plain,
( ~ spl90_22
| spl90_26 ),
inference(avatar_split_clause,[],[f376,f740,f721]) ).
fof(f745,definition,
( spl90_27
<=> a_select3(r_ds1_filter,sK53,sK54) = a_select3(r_ds1_filter,sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl90_27])],[avatar_definition]) ).
fof(f747,plain,
( a_select3(r_ds1_filter,sK53,sK54) != a_select3(r_ds1_filter,sK54,sK53)
| spl90_27 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f748,plain,
( ~ spl90_22
| ~ spl90_27 ),
inference(avatar_split_clause,[],[f377,f745,f721]) ).
fof(f866,definition,
( spl90_52
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl90_52])],[avatar_definition]) ).
fof(f870,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(sK44,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f348,f398]) ).
fof(f871,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(sK43,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f349,f398]) ).
fof(f872,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(n0,sK44)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f350,f398]) ).
fof(f873,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(n0,sK43)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f351,f398]) ).
fof(f874,plain,
( ~ leq(pv5,minus(n999,n1))
| a_select3(q_ds1_filter,sK43,sK44) != a_select3(q_ds1_filter,sK44,sK43)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f352,f398]) ).
fof(f992,definition,
( spl90_77
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl90_77])],[avatar_definition]) ).
fof(f996,definition,
( spl90_78
<=> leq(sK33,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_78])],[avatar_definition]) ).
fof(f998,plain,
( leq(sK33,minus(n6,n1))
| ~ spl90_78 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f999,plain,
( ~ spl90_77
| spl90_78 ),
inference(avatar_split_clause,[],[f322,f996,f992]) ).
fof(f1001,definition,
( spl90_79
<=> leq(n0,sK33) ),
introduced(definition,[new_symbols(definition,[spl90_79])],[avatar_definition]) ).
fof(f1003,plain,
( leq(n0,sK33)
| ~ spl90_79 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1004,plain,
( ~ spl90_77
| spl90_79 ),
inference(avatar_split_clause,[],[f323,f1001,f992]) ).
fof(f1006,definition,
( spl90_80
<=> leq(sK34,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_80])],[avatar_definition]) ).
fof(f1008,plain,
( leq(sK34,minus(n6,n1))
| ~ spl90_80 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1009,plain,
( ~ spl90_77
| spl90_80 ),
inference(avatar_split_clause,[],[f324,f1006,f992]) ).
fof(f1011,definition,
( spl90_81
<=> leq(n0,sK34) ),
introduced(definition,[new_symbols(definition,[spl90_81])],[avatar_definition]) ).
fof(f1013,plain,
( leq(n0,sK34)
| ~ spl90_81 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1014,plain,
( ~ spl90_77
| spl90_81 ),
inference(avatar_split_clause,[],[f325,f1011,f992]) ).
fof(f1016,definition,
( spl90_82
<=> a_select3(id_ds1_filter,sK33,sK34) = a_select3(id_ds1_filter,sK34,sK33) ),
introduced(definition,[new_symbols(definition,[spl90_82])],[avatar_definition]) ).
fof(f1018,plain,
( a_select3(id_ds1_filter,sK33,sK34) != a_select3(id_ds1_filter,sK34,sK33)
| spl90_82 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1019,plain,
( ~ spl90_77
| ~ spl90_82 ),
inference(avatar_split_clause,[],[f326,f1016,f992]) ).
fof(f1021,definition,
( spl90_83
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl90_83])],[avatar_definition]) ).
fof(f1025,definition,
( spl90_84
<=> leq(sK32,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_84])],[avatar_definition]) ).
fof(f1027,plain,
( leq(sK32,minus(n6,n1))
| ~ spl90_84 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1028,plain,
( ~ spl90_83
| spl90_84 ),
inference(avatar_split_clause,[],[f317,f1025,f1021]) ).
fof(f1030,definition,
( spl90_85
<=> leq(sK31,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_85])],[avatar_definition]) ).
fof(f1032,plain,
( leq(sK31,minus(n6,n1))
| ~ spl90_85 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1033,plain,
( ~ spl90_83
| spl90_85 ),
inference(avatar_split_clause,[],[f318,f1030,f1021]) ).
fof(f1035,definition,
( spl90_86
<=> leq(n0,sK32) ),
introduced(definition,[new_symbols(definition,[spl90_86])],[avatar_definition]) ).
fof(f1037,plain,
( leq(n0,sK32)
| ~ spl90_86 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1038,plain,
( ~ spl90_83
| spl90_86 ),
inference(avatar_split_clause,[],[f319,f1035,f1021]) ).
fof(f1040,definition,
( spl90_87
<=> leq(n0,sK31) ),
introduced(definition,[new_symbols(definition,[spl90_87])],[avatar_definition]) ).
fof(f1042,plain,
( leq(n0,sK31)
| ~ spl90_87 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1043,plain,
( ~ spl90_83
| spl90_87 ),
inference(avatar_split_clause,[],[f320,f1040,f1021]) ).
fof(f1045,definition,
( spl90_88
<=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK31,sK32) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK32,sK31) ),
introduced(definition,[new_symbols(definition,[spl90_88])],[avatar_definition]) ).
fof(f1047,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK32,sK31)
| spl90_88 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1048,plain,
( ~ spl90_83
| ~ spl90_88 ),
inference(avatar_split_clause,[],[f321,f1045,f1021]) ).
fof(f1050,definition,
( spl90_89
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl90_89])],[avatar_definition]) ).
fof(f1054,definition,
( spl90_90
<=> leq(sK30,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_90])],[avatar_definition]) ).
fof(f1056,plain,
( leq(sK30,minus(n6,n1))
| ~ spl90_90 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1057,plain,
( ~ spl90_89
| spl90_90 ),
inference(avatar_split_clause,[],[f312,f1054,f1050]) ).
fof(f1059,definition,
( spl90_91
<=> leq(sK29,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_91])],[avatar_definition]) ).
fof(f1061,plain,
( leq(sK29,minus(n6,n1))
| ~ spl90_91 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,plain,
( ~ spl90_89
| spl90_91 ),
inference(avatar_split_clause,[],[f313,f1059,f1050]) ).
fof(f1064,definition,
( spl90_92
<=> leq(n0,sK30) ),
introduced(definition,[new_symbols(definition,[spl90_92])],[avatar_definition]) ).
fof(f1066,plain,
( leq(n0,sK30)
| ~ spl90_92 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1067,plain,
( ~ spl90_89
| spl90_92 ),
inference(avatar_split_clause,[],[f314,f1064,f1050]) ).
fof(f1069,definition,
( spl90_93
<=> leq(n0,sK29) ),
introduced(definition,[new_symbols(definition,[spl90_93])],[avatar_definition]) ).
fof(f1071,plain,
( leq(n0,sK29)
| ~ spl90_93 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1072,plain,
( ~ spl90_89
| spl90_93 ),
inference(avatar_split_clause,[],[f315,f1069,f1050]) ).
fof(f1074,definition,
( spl90_94
<=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK29,sK30) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK30,sK29) ),
introduced(definition,[new_symbols(definition,[spl90_94])],[avatar_definition]) ).
fof(f1076,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK30,sK29)
| spl90_94 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1077,plain,
( ~ spl90_89
| ~ spl90_94 ),
inference(avatar_split_clause,[],[f316,f1074,f1050]) ).
fof(f1079,definition,
( spl90_95
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl90_95])],[avatar_definition]) ).
fof(f1083,definition,
( spl90_96
<=> leq(sK28,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_96])],[avatar_definition]) ).
fof(f1085,plain,
( leq(sK28,minus(n3,n1))
| ~ spl90_96 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1086,plain,
( ~ spl90_95
| spl90_96 ),
inference(avatar_split_clause,[],[f307,f1083,f1079]) ).
fof(f1088,definition,
( spl90_97
<=> leq(sK27,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_97])],[avatar_definition]) ).
fof(f1090,plain,
( leq(sK27,minus(n3,n1))
| ~ spl90_97 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1091,plain,
( ~ spl90_95
| spl90_97 ),
inference(avatar_split_clause,[],[f308,f1088,f1079]) ).
fof(f1093,definition,
( spl90_98
<=> leq(n0,sK28) ),
introduced(definition,[new_symbols(definition,[spl90_98])],[avatar_definition]) ).
fof(f1095,plain,
( leq(n0,sK28)
| ~ spl90_98 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1096,plain,
( ~ spl90_95
| spl90_98 ),
inference(avatar_split_clause,[],[f309,f1093,f1079]) ).
fof(f1098,definition,
( spl90_99
<=> leq(n0,sK27) ),
introduced(definition,[new_symbols(definition,[spl90_99])],[avatar_definition]) ).
fof(f1100,plain,
( leq(n0,sK27)
| ~ spl90_99 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1101,plain,
( ~ spl90_95
| spl90_99 ),
inference(avatar_split_clause,[],[f310,f1098,f1079]) ).
fof(f1103,definition,
( spl90_100
<=> a_select3(r_ds1_filter,sK27,sK28) = a_select3(r_ds1_filter,sK28,sK27) ),
introduced(definition,[new_symbols(definition,[spl90_100])],[avatar_definition]) ).
fof(f1105,plain,
( a_select3(r_ds1_filter,sK27,sK28) != a_select3(r_ds1_filter,sK28,sK27)
| spl90_100 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1106,plain,
( ~ spl90_95
| ~ spl90_100 ),
inference(avatar_split_clause,[],[f311,f1103,f1079]) ).
fof(f1107,plain,
( ~ spl90_3
| spl90_2 ),
inference(avatar_split_clause,[],[f301,f619,f624]) ).
fof(f1113,plain,
( ~ spl90_1
| spl90_2 ),
inference(avatar_split_clause,[],[f294,f619,f615]) ).
fof(f1114,plain,
( ~ spl90_1
| spl90_52
| ~ spl90_2 ),
inference(avatar_split_clause,[],[f295,f619,f866,f615]) ).
fof(f1128,plain,
( leq(sK62,minus(n6,n1))
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f628,f397]) ).
fof(f1129,plain,
( leq(sK61,minus(n6,n1))
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f629,f397]) ).
fof(f1130,plain,
( leq(n0,sK62)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f630,f397]) ).
fof(f1131,plain,
( leq(n0,sK61)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f631,f397]) ).
fof(f1132,plain,
( a_select3(q_ds1_filter,sK61,sK62) != a_select3(q_ds1_filter,sK62,sK61)
| sP16
| sP15
| sP14
| sP13
| sP17
| sP18 ),
inference(forward_subsumption_resolution,[],[f632,f397]) ).
fof(f1133,plain,
( leq(sK44,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f870,f397]) ).
fof(f1134,plain,
( leq(sK43,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f871,f397]) ).
fof(f1135,plain,
( leq(n0,sK44)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f872,f397]) ).
fof(f1136,plain,
( leq(n0,sK43)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f873,f397]) ).
fof(f1137,plain,
( a_select3(q_ds1_filter,sK43,sK44) != a_select3(q_ds1_filter,sK44,sK43)
| sP3
| sP2
| sP1
| sP0
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f874,f397]) ).
fof(f1154,definition,
( spl90_101
<=> leq(sK62,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_101])],[avatar_definition]) ).
fof(f1156,plain,
( leq(sK62,minus(n6,n1))
| ~ spl90_101 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1157,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_101 ),
inference(avatar_split_clause,[],[f1128,f1154,f1079,f1050,f1021,f992,f624,f615]) ).
fof(f1159,definition,
( spl90_102
<=> leq(sK61,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_102])],[avatar_definition]) ).
fof(f1161,plain,
( leq(sK61,minus(n6,n1))
| ~ spl90_102 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1162,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_102 ),
inference(avatar_split_clause,[],[f1129,f1159,f1079,f1050,f1021,f992,f624,f615]) ).
fof(f1164,definition,
( spl90_103
<=> leq(n0,sK62) ),
introduced(definition,[new_symbols(definition,[spl90_103])],[avatar_definition]) ).
fof(f1166,plain,
( leq(n0,sK62)
| ~ spl90_103 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1167,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_103 ),
inference(avatar_split_clause,[],[f1130,f1164,f1079,f1050,f1021,f992,f624,f615]) ).
fof(f1169,definition,
( spl90_104
<=> leq(n0,sK61) ),
introduced(definition,[new_symbols(definition,[spl90_104])],[avatar_definition]) ).
fof(f1171,plain,
( leq(n0,sK61)
| ~ spl90_104 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1172,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_104 ),
inference(avatar_split_clause,[],[f1131,f1169,f1079,f1050,f1021,f992,f624,f615]) ).
fof(f1174,definition,
( spl90_105
<=> a_select3(q_ds1_filter,sK61,sK62) = a_select3(q_ds1_filter,sK62,sK61) ),
introduced(definition,[new_symbols(definition,[spl90_105])],[avatar_definition]) ).
fof(f1176,plain,
( a_select3(q_ds1_filter,sK61,sK62) != a_select3(q_ds1_filter,sK62,sK61)
| spl90_105 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1177,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| ~ spl90_105 ),
inference(avatar_split_clause,[],[f1132,f1174,f1079,f1050,f1021,f992,f624,f615]) ).
fof(f1179,definition,
( spl90_106
<=> leq(sK44,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_106])],[avatar_definition]) ).
fof(f1181,plain,
( leq(sK44,minus(n6,n1))
| ~ spl90_106 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1182,plain,
( ~ spl90_52
| spl90_4
| spl90_10
| spl90_16
| spl90_22
| spl90_106 ),
inference(avatar_split_clause,[],[f1133,f1179,f721,f692,f663,f634,f866]) ).
fof(f1184,definition,
( spl90_107
<=> leq(sK43,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl90_107])],[avatar_definition]) ).
fof(f1186,plain,
( leq(sK43,minus(n6,n1))
| ~ spl90_107 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1187,plain,
( ~ spl90_52
| spl90_4
| spl90_10
| spl90_16
| spl90_22
| spl90_107 ),
inference(avatar_split_clause,[],[f1134,f1184,f721,f692,f663,f634,f866]) ).
fof(f1189,definition,
( spl90_108
<=> leq(n0,sK44) ),
introduced(definition,[new_symbols(definition,[spl90_108])],[avatar_definition]) ).
fof(f1191,plain,
( leq(n0,sK44)
| ~ spl90_108 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1192,plain,
( ~ spl90_52
| spl90_4
| spl90_10
| spl90_16
| spl90_22
| spl90_108 ),
inference(avatar_split_clause,[],[f1135,f1189,f721,f692,f663,f634,f866]) ).
fof(f1194,definition,
( spl90_109
<=> leq(n0,sK43) ),
introduced(definition,[new_symbols(definition,[spl90_109])],[avatar_definition]) ).
fof(f1196,plain,
( leq(n0,sK43)
| ~ spl90_109 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1197,plain,
( ~ spl90_52
| spl90_4
| spl90_10
| spl90_16
| spl90_22
| spl90_109 ),
inference(avatar_split_clause,[],[f1136,f1194,f721,f692,f663,f634,f866]) ).
fof(f1199,definition,
( spl90_110
<=> a_select3(q_ds1_filter,sK43,sK44) = a_select3(q_ds1_filter,sK44,sK43) ),
introduced(definition,[new_symbols(definition,[spl90_110])],[avatar_definition]) ).
fof(f1201,plain,
( a_select3(q_ds1_filter,sK43,sK44) != a_select3(q_ds1_filter,sK44,sK43)
| spl90_110 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1202,plain,
( ~ spl90_52
| spl90_4
| spl90_10
| spl90_16
| spl90_22
| ~ spl90_110 ),
inference(avatar_split_clause,[],[f1137,f1199,f721,f692,f663,f634,f866]) ).
fof(f1256,plain,
( a_select3(id_ds1_filter,sK33,sK34) != a_select3(id_ds1_filter,sK33,sK34)
| ~ leq(n0,sK34)
| ~ leq(sK34,minus(n6,n1))
| ~ leq(n0,sK33)
| ~ leq(sK33,minus(n6,n1))
| spl90_82 ),
inference(superposition,[],[f1018,f393]) ).
fof(f1259,plain,
( ~ leq(n0,sK34)
| ~ leq(sK34,minus(n6,n1))
| ~ leq(n0,sK33)
| ~ leq(sK33,minus(n6,n1))
| spl90_82 ),
inference(trivial_inequality_removal,[],[f1256]) ).
fof(f1261,plain,
( ~ leq(sK34,minus(n6,n1))
| ~ leq(n0,sK33)
| ~ leq(sK33,minus(n6,n1))
| ~ spl90_81
| spl90_82 ),
inference(forward_subsumption_resolution,[],[f1259,f1013]) ).
fof(f1263,plain,
( ~ leq(n0,sK33)
| ~ leq(sK33,minus(n6,n1))
| ~ spl90_80
| ~ spl90_81
| spl90_82 ),
inference(forward_subsumption_resolution,[],[f1261,f1008]) ).
fof(f1265,plain,
( ~ leq(sK33,minus(n6,n1))
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| spl90_82 ),
inference(forward_subsumption_resolution,[],[f1263,f1003]) ).
fof(f1268,plain,
( $false
| ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| spl90_82 ),
inference(forward_subsumption_resolution,[],[f1265,f998]) ).
fof(f1269,plain,
( ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| spl90_82 ),
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1270,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK56)
| ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(superposition,[],[f718,f431]) ).
fof(f1273,plain,
( ! [X0,X1] :
( ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(trivial_inequality_removal,[],[f1270]) ).
fof(f1275,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1273,f708]) ).
fof(f1277,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(sK55,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1275,f713]) ).
fof(f1279,definition,
( spl90_121
<=> ! [X1] : leq(sK70(r_ds1_filter,X1),X1) ),
introduced(definition,[new_symbols(definition,[spl90_121])],[avatar_definition]) ).
fof(f1280,plain,
( ! [X1] : leq(sK70(r_ds1_filter,X1),X1)
| ~ spl90_121 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1282,definition,
( spl90_122
<=> ! [X0] :
( ~ leq(sK55,X0)
| sP19(pminus_ds1_filter,X0)
| sP20(q_ds1_filter,X0)
| ~ leq(sK56,X0) ) ),
introduced(definition,[new_symbols(definition,[spl90_122])],[avatar_definition]) ).
fof(f1283,plain,
( ! [X0] :
( sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0)
| ~ leq(sK55,X0)
| ~ leq(sK56,X0) )
| ~ spl90_122 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1285,plain,
( spl90_121
| spl90_122
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(avatar_split_clause,[],[f1277,f716,f711,f706,f1282,f1279]) ).
fof(f1286,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK56)
| ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(superposition,[],[f718,f433]) ).
fof(f1289,plain,
( ! [X0,X1] :
( ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(trivial_inequality_removal,[],[f1286]) ).
fof(f1291,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1289,f708]) ).
fof(f1293,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(sK55,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1291,f713]) ).
fof(f1295,definition,
( spl90_123
<=> ! [X1] : leq(sK69(r_ds1_filter,X1),X1) ),
introduced(definition,[new_symbols(definition,[spl90_123])],[avatar_definition]) ).
fof(f1296,plain,
( ! [X1] : leq(sK69(r_ds1_filter,X1),X1)
| ~ spl90_123 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1298,plain,
( spl90_123
| spl90_122
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(avatar_split_clause,[],[f1293,f716,f711,f706,f1282,f1295]) ).
fof(f1299,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK56)
| ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(superposition,[],[f718,f432]) ).
fof(f1302,plain,
( ! [X0,X1] :
( ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(trivial_inequality_removal,[],[f1299]) ).
fof(f1304,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1302,f708]) ).
fof(f1306,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(sK55,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1304,f713]) ).
fof(f1308,definition,
( spl90_124
<=> ! [X1] : leq(n0,sK70(r_ds1_filter,X1)) ),
introduced(definition,[new_symbols(definition,[spl90_124])],[avatar_definition]) ).
fof(f1309,plain,
( ! [X1] : leq(n0,sK70(r_ds1_filter,X1))
| ~ spl90_124 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1311,plain,
( spl90_124
| spl90_122
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(avatar_split_clause,[],[f1306,f716,f711,f706,f1282,f1308]) ).
fof(f1312,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK56)
| ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(superposition,[],[f718,f434]) ).
fof(f1315,plain,
( ! [X0,X1] :
( ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(trivial_inequality_removal,[],[f1312]) ).
fof(f1316,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))))))),sK55,sK56) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK56)
| ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(superposition,[],[f718,f435]) ).
fof(f1319,plain,
( ! [X0,X1] :
( ~ leq(n0,sK56)
| ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_21 ),
inference(trivial_inequality_removal,[],[f1316]) ).
fof(f1481,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK58)
| ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(superposition,[],[f689,f431]) ).
fof(f1484,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK58)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(superposition,[],[f689,f432]) ).
fof(f1485,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK58)
| ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(superposition,[],[f689,f433]) ).
fof(f1487,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK58)
| ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(superposition,[],[f689,f434]) ).
fof(f1489,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))))))),sK57,sK58) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,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,sK58)
| ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(superposition,[],[f689,f435]) ).
fof(f1492,plain,
( ! [X0,X1] :
( ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(trivial_inequality_removal,[],[f1489]) ).
fof(f1494,plain,
( ! [X0,X1] :
( ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(trivial_inequality_removal,[],[f1487]) ).
fof(f1496,plain,
( ! [X0,X1] :
( ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(trivial_inequality_removal,[],[f1485]) ).
fof(f1497,plain,
( ! [X0,X1] :
( ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(trivial_inequality_removal,[],[f1484]) ).
fof(f1500,plain,
( ! [X0,X1] :
( ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_15 ),
inference(trivial_inequality_removal,[],[f1481]) ).
fof(f1506,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1492,f679]) ).
fof(f1508,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1494,f679]) ).
fof(f1509,plain,
( ! [X0,X1] :
( ~ leq(sK57,X0)
| ~ leq(n0,sK58)
| ~ leq(sK58,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_14
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1497,f684]) ).
fof(f1522,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(sK57,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1506,f684]) ).
fof(f1524,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(sK57,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1508,f684]) ).
fof(f1525,plain,
( ! [X0,X1] :
( ~ leq(sK57,X0)
| ~ leq(sK58,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1509,f679]) ).
fof(f1562,definition,
( spl90_147
<=> ! [X1] : a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1)) ),
introduced(definition,[new_symbols(definition,[spl90_147])],[avatar_definition]) ).
fof(f1563,plain,
( ! [X1] : a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| ~ spl90_147 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f1570,definition,
( spl90_149
<=> ! [X1] : leq(n0,sK69(r_ds1_filter,X1)) ),
introduced(definition,[new_symbols(definition,[spl90_149])],[avatar_definition]) ).
fof(f1571,plain,
( ! [X1] : leq(n0,sK69(r_ds1_filter,X1))
| ~ spl90_149 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1597,definition,
( spl90_151
<=> ! [X0] :
( ~ leq(sK58,X0)
| sP19(pminus_ds1_filter,X0)
| sP20(q_ds1_filter,X0)
| ~ leq(sK57,X0) ) ),
introduced(definition,[new_symbols(definition,[spl90_151])],[avatar_definition]) ).
fof(f1598,plain,
( ! [X0] :
( sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0)
| ~ leq(sK58,X0)
| ~ leq(sK57,X0) )
| ~ spl90_151 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f1604,plain,
( spl90_124
| spl90_151
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(avatar_split_clause,[],[f1525,f687,f682,f677,f1597,f1308]) ).
fof(f1682,plain,
! [X0] :
( a_select3(pminus_ds1_filter,sK67(pminus_ds1_filter,X0),sK68(pminus_ds1_filter,X0)) != a_select3(pminus_ds1_filter,sK67(pminus_ds1_filter,X0),sK68(pminus_ds1_filter,X0))
| ~ sP19(pminus_ds1_filter,X0)
| ~ leq(n0,sK68(pminus_ds1_filter,X0))
| ~ leq(n0,sK67(pminus_ds1_filter,X0))
| ~ leq(sK68(pminus_ds1_filter,X0),minus(n6,n1))
| ~ leq(sK67(pminus_ds1_filter,X0),minus(n6,n1)) ),
inference(superposition,[],[f430,f394]) ).
fof(f1748,plain,
! [X0] :
( ~ sP19(pminus_ds1_filter,X0)
| ~ leq(n0,sK68(pminus_ds1_filter,X0))
| ~ leq(n0,sK67(pminus_ds1_filter,X0))
| ~ leq(sK68(pminus_ds1_filter,X0),minus(n6,n1))
| ~ leq(sK67(pminus_ds1_filter,X0),minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f1682]) ).
fof(f1787,plain,
! [X0] :
( ~ sP19(pminus_ds1_filter,X0)
| ~ leq(n0,sK67(pminus_ds1_filter,X0))
| ~ leq(sK68(pminus_ds1_filter,X0),minus(n6,n1))
| ~ leq(sK67(pminus_ds1_filter,X0),minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f1748,f427]) ).
fof(f1826,plain,
! [X0] :
( ~ leq(sK68(pminus_ds1_filter,X0),minus(n6,n1))
| ~ sP19(pminus_ds1_filter,X0)
| ~ leq(sK67(pminus_ds1_filter,X0),minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f1787,f429]) ).
fof(f3007,plain,
! [X0] :
( a_select3(q_ds1_filter,sK65(q_ds1_filter,X0),sK66(q_ds1_filter,X0)) != a_select3(q_ds1_filter,sK65(q_ds1_filter,X0),sK66(q_ds1_filter,X0))
| ~ sP20(q_ds1_filter,X0)
| ~ leq(n0,sK66(q_ds1_filter,X0))
| ~ leq(n0,sK65(q_ds1_filter,X0))
| ~ leq(sK66(q_ds1_filter,X0),minus(n6,n1))
| ~ leq(sK65(q_ds1_filter,X0),minus(n6,n1)) ),
inference(superposition,[],[f425,f396]) ).
fof(f3096,plain,
! [X0] :
( ~ sP20(q_ds1_filter,X0)
| ~ leq(n0,sK66(q_ds1_filter,X0))
| ~ leq(n0,sK65(q_ds1_filter,X0))
| ~ leq(sK66(q_ds1_filter,X0),minus(n6,n1))
| ~ leq(sK65(q_ds1_filter,X0),minus(n6,n1)) ),
inference(trivial_inequality_removal,[],[f3007]) ).
fof(f3144,plain,
! [X0] :
( ~ sP20(q_ds1_filter,X0)
| ~ leq(n0,sK65(q_ds1_filter,X0))
| ~ leq(sK66(q_ds1_filter,X0),minus(n6,n1))
| ~ leq(sK65(q_ds1_filter,X0),minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f3096,f422]) ).
fof(f3192,plain,
! [X0] :
( ~ leq(sK66(q_ds1_filter,X0),minus(n6,n1))
| ~ sP20(q_ds1_filter,X0)
| ~ leq(sK65(q_ds1_filter,X0),minus(n6,n1)) ),
inference(forward_subsumption_resolution,[],[f3144,f424]) ).
fof(f4396,plain,
( a_select3(r_ds1_filter,sK53,sK54) != a_select3(r_ds1_filter,sK53,sK54)
| ~ leq(n0,sK53)
| ~ leq(n0,sK54)
| ~ leq(sK53,minus(n3,n1))
| ~ leq(sK54,minus(n3,n1))
| spl90_27 ),
inference(superposition,[],[f747,f395]) ).
fof(f4399,plain,
( ~ leq(n0,sK53)
| ~ leq(n0,sK54)
| ~ leq(sK53,minus(n3,n1))
| ~ leq(sK54,minus(n3,n1))
| spl90_27 ),
inference(trivial_inequality_removal,[],[f4396]) ).
fof(f4401,plain,
( ~ leq(n0,sK54)
| ~ leq(sK53,minus(n3,n1))
| ~ leq(sK54,minus(n3,n1))
| ~ spl90_26
| spl90_27 ),
inference(forward_subsumption_resolution,[],[f4399,f742]) ).
fof(f4403,plain,
( ~ leq(sK53,minus(n3,n1))
| ~ leq(sK54,minus(n3,n1))
| ~ spl90_25
| ~ spl90_26
| spl90_27 ),
inference(forward_subsumption_resolution,[],[f4401,f737]) ).
fof(f4405,plain,
( ~ leq(sK54,minus(n3,n1))
| ~ spl90_24
| ~ spl90_25
| ~ spl90_26
| spl90_27 ),
inference(forward_subsumption_resolution,[],[f4403,f732]) ).
fof(f4408,plain,
( $false
| ~ spl90_23
| ~ spl90_24
| ~ spl90_25
| ~ spl90_26
| spl90_27 ),
inference(forward_subsumption_resolution,[],[f4405,f727]) ).
fof(f4409,plain,
( ~ spl90_23
| ~ spl90_24
| ~ spl90_25
| ~ spl90_26
| spl90_27 ),
inference(avatar_contradiction_clause,[],[f4408]) ).
fof(f4472,plain,
( ! [X0] :
( a_select3(r_ds1_filter,sK69(r_ds1_filter,X0),sK70(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK69(r_ds1_filter,X0),sK70(r_ds1_filter,X0))
| ~ leq(n0,sK70(r_ds1_filter,X0))
| ~ leq(n0,sK69(r_ds1_filter,X0))
| ~ leq(sK70(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(sK69(r_ds1_filter,X0),minus(n3,n1)) )
| ~ spl90_147 ),
inference(superposition,[],[f1563,f395]) ).
fof(f4473,plain,
( ! [X0] :
( ~ leq(n0,sK70(r_ds1_filter,X0))
| ~ leq(n0,sK69(r_ds1_filter,X0))
| ~ leq(sK70(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(sK69(r_ds1_filter,X0),minus(n3,n1)) )
| ~ spl90_147 ),
inference(trivial_inequality_removal,[],[f4472]) ).
fof(f4475,plain,
( ! [X0] :
( ~ leq(sK70(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(n0,sK69(r_ds1_filter,X0))
| ~ leq(sK69(r_ds1_filter,X0),minus(n3,n1)) )
| ~ spl90_124
| ~ spl90_147 ),
inference(forward_subsumption_resolution,[],[f4473,f1309]) ).
fof(f4477,plain,
( ! [X0] :
( ~ leq(sK70(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(sK69(r_ds1_filter,X0),minus(n3,n1)) )
| ~ spl90_124
| ~ spl90_147
| ~ spl90_149 ),
inference(forward_subsumption_resolution,[],[f4475,f1571]) ).
fof(f4653,plain,
( ~ leq(sK69(r_ds1_filter,minus(n3,n1)),minus(n3,n1))
| ~ spl90_121
| ~ spl90_124
| ~ spl90_147
| ~ spl90_149 ),
inference(resolution,[],[f4477,f1280]) ).
fof(f4657,plain,
( $false
| ~ spl90_121
| ~ spl90_123
| ~ spl90_124
| ~ spl90_147
| ~ spl90_149 ),
inference(forward_subsumption_resolution,[],[f4653,f1296]) ).
fof(f4658,plain,
( ~ spl90_121
| ~ spl90_123
| ~ spl90_124
| ~ spl90_147
| ~ spl90_149 ),
inference(avatar_contradiction_clause,[],[f4657]) ).
fof(f5002,plain,
( a_select3(r_ds1_filter,sK27,sK28) != a_select3(r_ds1_filter,sK27,sK28)
| ~ leq(n0,sK27)
| ~ leq(n0,sK28)
| ~ leq(sK27,minus(n3,n1))
| ~ leq(sK28,minus(n3,n1))
| spl90_100 ),
inference(superposition,[],[f1105,f395]) ).
fof(f5005,plain,
( ~ leq(n0,sK27)
| ~ leq(n0,sK28)
| ~ leq(sK27,minus(n3,n1))
| ~ leq(sK28,minus(n3,n1))
| spl90_100 ),
inference(trivial_inequality_removal,[],[f5002]) ).
fof(f5007,plain,
( ~ leq(n0,sK28)
| ~ leq(sK27,minus(n3,n1))
| ~ leq(sK28,minus(n3,n1))
| ~ spl90_99
| spl90_100 ),
inference(forward_subsumption_resolution,[],[f5005,f1100]) ).
fof(f5009,plain,
( ~ leq(sK27,minus(n3,n1))
| ~ leq(sK28,minus(n3,n1))
| ~ spl90_98
| ~ spl90_99
| spl90_100 ),
inference(forward_subsumption_resolution,[],[f5007,f1095]) ).
fof(f5011,plain,
( ~ leq(sK28,minus(n3,n1))
| ~ spl90_97
| ~ spl90_98
| ~ spl90_99
| spl90_100 ),
inference(forward_subsumption_resolution,[],[f5009,f1090]) ).
fof(f5014,plain,
( $false
| ~ spl90_96
| ~ spl90_97
| ~ spl90_98
| ~ spl90_99
| spl90_100 ),
inference(forward_subsumption_resolution,[],[f5011,f1085]) ).
fof(f5015,plain,
( ~ spl90_96
| ~ spl90_97
| ~ spl90_98
| ~ spl90_99
| spl90_100 ),
inference(avatar_contradiction_clause,[],[f5014]) ).
fof(f5054,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK29,sK30)
| ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(superposition,[],[f1076,f431]) ).
fof(f5056,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK29,sK30)
| ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(superposition,[],[f1076,f432]) ).
fof(f5058,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK29,sK30)
| ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(superposition,[],[f1076,f433]) ).
fof(f5060,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK29,sK30)
| ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(superposition,[],[f1076,f434]) ).
fof(f5062,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)))),sK29,sK30) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK29,sK30)
| ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(superposition,[],[f1076,f435]) ).
fof(f5065,plain,
( ! [X0,X1] :
( ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(trivial_inequality_removal,[],[f5062]) ).
fof(f5067,plain,
( ! [X0,X1] :
( ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(trivial_inequality_removal,[],[f5060]) ).
fof(f5069,plain,
( ! [X0,X1] :
( ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(trivial_inequality_removal,[],[f5058]) ).
fof(f5071,plain,
( ! [X0,X1] :
( ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(trivial_inequality_removal,[],[f5056]) ).
fof(f5073,plain,
( ! [X0,X1] :
( ~ leq(n0,sK30)
| ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_94 ),
inference(trivial_inequality_removal,[],[f5054]) ).
fof(f5083,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f5067,f1066]) ).
fof(f5093,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(sK29,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f5083,f1071]) ).
fof(f5103,definition,
( spl90_212
<=> ! [X0] :
( ~ leq(sK29,X0)
| sP19(pminus_ds1_filter,X0)
| sP20(q_ds1_filter,X0)
| ~ leq(sK30,X0) ) ),
introduced(definition,[new_symbols(definition,[spl90_212])],[avatar_definition]) ).
fof(f5104,plain,
( ! [X0] :
( sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0)
| ~ leq(sK29,X0)
| ~ leq(sK30,X0) )
| ~ spl90_212 ),
inference(avatar_component_clause,[],[f5103]) ).
fof(f5106,plain,
( spl90_149
| spl90_212
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(avatar_split_clause,[],[f5093,f1074,f1069,f1064,f5103,f1570]) ).
fof(f5271,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK31,sK32)
| ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(superposition,[],[f1047,f431]) ).
fof(f5273,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK31,sK32)
| ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(superposition,[],[f1047,f432]) ).
fof(f5275,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK31,sK32)
| ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(superposition,[],[f1047,f433]) ).
fof(f5277,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK31,sK32)
| ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(superposition,[],[f1047,f434]) ).
fof(f5279,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)))),sK31,sK32) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK31,sK32)
| ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(superposition,[],[f1047,f435]) ).
fof(f5282,plain,
( ! [X0,X1] :
( ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(trivial_inequality_removal,[],[f5279]) ).
fof(f5284,plain,
( ! [X0,X1] :
( ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(trivial_inequality_removal,[],[f5277]) ).
fof(f5286,plain,
( ! [X0,X1] :
( ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(trivial_inequality_removal,[],[f5275]) ).
fof(f5288,plain,
( ! [X0,X1] :
( ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(trivial_inequality_removal,[],[f5273]) ).
fof(f5290,plain,
( ! [X0,X1] :
( ~ leq(n0,sK32)
| ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| spl90_88 ),
inference(trivial_inequality_removal,[],[f5271]) ).
fof(f5300,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5284,f1037]) ).
fof(f5310,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(sK31,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5300,f1042]) ).
fof(f5320,definition,
( spl90_231
<=> ! [X0] :
( ~ leq(sK31,X0)
| sP19(pminus_ds1_filter,X0)
| sP20(q_ds1_filter,X0)
| ~ leq(sK32,X0) ) ),
introduced(definition,[new_symbols(definition,[spl90_231])],[avatar_definition]) ).
fof(f5321,plain,
( ! [X0] :
( sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0)
| ~ leq(sK31,X0)
| ~ leq(sK32,X0) )
| ~ spl90_231 ),
inference(avatar_component_clause,[],[f5320]) ).
fof(f5323,plain,
( spl90_149
| spl90_231
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(avatar_split_clause,[],[f5310,f1045,f1040,f1035,f5320,f1570]) ).
fof(f5547,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5282,f1037]) ).
fof(f5550,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(sK31,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5547,f1042]) ).
fof(f5680,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5286,f1037]) ).
fof(f5686,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(sK31,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5680,f1042]) ).
fof(f5701,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5288,f1037]) ).
fof(f5708,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(sK31,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5701,f1042]) ).
fof(f5723,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(n0,sK31)
| ~ leq(sK31,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5290,f1037]) ).
fof(f5729,plain,
( ! [X0,X1] :
( ~ leq(sK32,X0)
| ~ leq(sK31,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(forward_subsumption_resolution,[],[f5723,f1042]) ).
fof(f5738,plain,
( spl90_121
| spl90_231
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(avatar_split_clause,[],[f5729,f1045,f1040,f1035,f5320,f1279]) ).
fof(f5747,plain,
( spl90_123
| spl90_231
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(avatar_split_clause,[],[f5686,f1045,f1040,f1035,f5320,f1295]) ).
fof(f5751,plain,
( spl90_124
| spl90_231
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(avatar_split_clause,[],[f5708,f1045,f1040,f1035,f5320,f1308]) ).
fof(f5754,plain,
( spl90_147
| spl90_231
| ~ spl90_86
| ~ spl90_87
| spl90_88 ),
inference(avatar_split_clause,[],[f5550,f1045,f1040,f1035,f5320,f1562]) ).
fof(f5867,plain,
( a_select3(id_ds1_filter,sK59,sK60) != a_select3(id_ds1_filter,sK59,sK60)
| ~ leq(n0,sK60)
| ~ leq(sK60,minus(n6,n1))
| ~ leq(n0,sK59)
| ~ leq(sK59,minus(n6,n1))
| spl90_9 ),
inference(superposition,[],[f660,f393]) ).
fof(f5870,plain,
( ~ leq(n0,sK60)
| ~ leq(sK60,minus(n6,n1))
| ~ leq(n0,sK59)
| ~ leq(sK59,minus(n6,n1))
| spl90_9 ),
inference(trivial_inequality_removal,[],[f5867]) ).
fof(f5872,plain,
( ~ leq(sK60,minus(n6,n1))
| ~ leq(n0,sK59)
| ~ leq(sK59,minus(n6,n1))
| ~ spl90_8
| spl90_9 ),
inference(forward_subsumption_resolution,[],[f5870,f655]) ).
fof(f5874,plain,
( ~ leq(sK60,minus(n6,n1))
| ~ leq(sK59,minus(n6,n1))
| ~ spl90_6
| ~ spl90_8
| spl90_9 ),
inference(forward_subsumption_resolution,[],[f5872,f645]) ).
fof(f5881,plain,
( a_select3(q_ds1_filter,sK43,sK44) != a_select3(q_ds1_filter,sK43,sK44)
| ~ leq(n0,sK43)
| ~ leq(n0,sK44)
| ~ leq(sK43,minus(n6,n1))
| ~ leq(sK44,minus(n6,n1))
| spl90_110 ),
inference(superposition,[],[f1201,f396]) ).
fof(f5884,plain,
( ~ leq(n0,sK43)
| ~ leq(n0,sK44)
| ~ leq(sK43,minus(n6,n1))
| ~ leq(sK44,minus(n6,n1))
| spl90_110 ),
inference(trivial_inequality_removal,[],[f5881]) ).
fof(f5886,plain,
( ~ leq(n0,sK44)
| ~ leq(sK43,minus(n6,n1))
| ~ leq(sK44,minus(n6,n1))
| ~ spl90_109
| spl90_110 ),
inference(forward_subsumption_resolution,[],[f5884,f1196]) ).
fof(f5888,plain,
( ~ leq(sK43,minus(n6,n1))
| ~ leq(sK44,minus(n6,n1))
| ~ spl90_108
| ~ spl90_109
| spl90_110 ),
inference(forward_subsumption_resolution,[],[f5886,f1191]) ).
fof(f6204,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1500,f679]) ).
fof(f6226,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(sK57,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f6204,f684]) ).
fof(f6266,plain,
( spl90_121
| spl90_151
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(avatar_split_clause,[],[f6226,f687,f682,f677,f1597,f1279]) ).
fof(f6289,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f5073,f1066]) ).
fof(f6291,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(sK29,X0)
| leq(sK70(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f6289,f1071]) ).
fof(f6306,plain,
( spl90_121
| spl90_212
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(avatar_split_clause,[],[f6291,f1074,f1069,f1064,f5103,f1279]) ).
fof(f6315,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f5069,f1066]) ).
fof(f6318,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(sK29,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f6315,f1071]) ).
fof(f6320,plain,
( spl90_123
| spl90_212
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(avatar_split_clause,[],[f6318,f1074,f1069,f1064,f5103,f1295]) ).
fof(f6325,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f5071,f1066]) ).
fof(f6328,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(sK29,X0)
| leq(n0,sK70(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f6325,f1071]) ).
fof(f6330,plain,
( spl90_124
| spl90_212
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(avatar_split_clause,[],[f6328,f1074,f1069,f1064,f5103,f1308]) ).
fof(f6332,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(n0,sK29)
| ~ leq(sK29,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f5065,f1066]) ).
fof(f6334,plain,
( ! [X0,X1] :
( ~ leq(sK30,X0)
| ~ leq(sK29,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(forward_subsumption_resolution,[],[f6332,f1071]) ).
fof(f6336,plain,
( spl90_147
| spl90_212
| ~ spl90_92
| ~ spl90_93
| spl90_94 ),
inference(avatar_split_clause,[],[f6334,f1074,f1069,f1064,f5103,f1562]) ).
fof(f6350,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1315,f708]) ).
fof(f6351,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(n0,sK55)
| ~ leq(sK55,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f1319,f708]) ).
fof(f6360,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(sK55,X0)
| leq(n0,sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f6350,f713]) ).
fof(f6361,plain,
( ! [X0,X1] :
( ~ leq(sK56,X0)
| ~ leq(sK55,X0)
| a_select3(r_ds1_filter,sK69(r_ds1_filter,X1),sK70(r_ds1_filter,X1)) != a_select3(r_ds1_filter,sK70(r_ds1_filter,X1),sK69(r_ds1_filter,X1))
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(forward_subsumption_resolution,[],[f6351,f713]) ).
fof(f6364,plain,
( spl90_149
| spl90_122
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(avatar_split_clause,[],[f6360,f716,f711,f706,f1282,f1570]) ).
fof(f6365,plain,
( spl90_147
| spl90_122
| ~ spl90_19
| ~ spl90_20
| spl90_21 ),
inference(avatar_split_clause,[],[f6361,f716,f711,f706,f1282,f1562]) ).
fof(f6371,plain,
( spl90_147
| spl90_151
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(avatar_split_clause,[],[f1522,f687,f682,f677,f1597,f1562]) ).
fof(f6373,plain,
( spl90_149
| spl90_151
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(avatar_split_clause,[],[f1524,f687,f682,f677,f1597,f1570]) ).
fof(f6392,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(n0,sK57)
| ~ leq(sK57,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f1496,f679]) ).
fof(f6395,plain,
( ! [X0,X1] :
( ~ leq(sK58,X0)
| ~ leq(sK57,X0)
| leq(sK69(r_ds1_filter,X1),X1)
| sP20(q_ds1_filter,X0)
| sP19(pminus_ds1_filter,X0) )
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(forward_subsumption_resolution,[],[f6392,f684]) ).
fof(f6398,plain,
( spl90_123
| spl90_151
| ~ spl90_13
| ~ spl90_14
| spl90_15 ),
inference(avatar_split_clause,[],[f6395,f687,f682,f677,f1597,f1295]) ).
fof(f6661,plain,
( ~ sP20(q_ds1_filter,minus(n6,n1))
| ~ leq(sK65(q_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ sP20(q_ds1_filter,minus(n6,n1)) ),
inference(resolution,[],[f3192,f421]) ).
fof(f6665,plain,
( ~ sP20(q_ds1_filter,minus(n6,n1))
| ~ leq(sK65(q_ds1_filter,minus(n6,n1)),minus(n6,n1)) ),
inference(duplicate_literal_removal,[],[f6661]) ).
fof(f6669,plain,
~ sP20(q_ds1_filter,minus(n6,n1)),
inference(forward_subsumption_resolution,[],[f6665,f423]) ).
fof(f6715,plain,
( ~ sP19(pminus_ds1_filter,minus(n6,n1))
| ~ leq(sK67(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ sP19(pminus_ds1_filter,minus(n6,n1)) ),
inference(resolution,[],[f1826,f426]) ).
fof(f6719,plain,
( ~ sP19(pminus_ds1_filter,minus(n6,n1))
| ~ leq(sK67(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1)) ),
inference(duplicate_literal_removal,[],[f6715]) ).
fof(f6723,plain,
~ sP19(pminus_ds1_filter,minus(n6,n1)),
inference(forward_subsumption_resolution,[],[f6719,f428]) ).
fof(f6876,plain,
( sP19(pminus_ds1_filter,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ spl90_151 ),
inference(resolution,[],[f6669,f1598]) ).
fof(f6877,plain,
( sP19(pminus_ds1_filter,minus(n6,n1))
| ~ leq(sK29,minus(n6,n1))
| ~ leq(sK30,minus(n6,n1))
| ~ spl90_212 ),
inference(resolution,[],[f6669,f5104]) ).
fof(f6878,plain,
( sP19(pminus_ds1_filter,minus(n6,n1))
| ~ leq(sK31,minus(n6,n1))
| ~ leq(sK32,minus(n6,n1))
| ~ spl90_231 ),
inference(resolution,[],[f6669,f5321]) ).
fof(f6882,plain,
( ~ leq(sK58,minus(n6,n1))
| ~ leq(sK57,minus(n6,n1))
| ~ spl90_151 ),
inference(forward_subsumption_resolution,[],[f6876,f6723]) ).
fof(f6884,plain,
( ~ leq(sK57,minus(n6,n1))
| ~ spl90_11
| ~ spl90_151 ),
inference(forward_subsumption_resolution,[],[f6882,f669]) ).
fof(f6886,plain,
( $false
| ~ spl90_11
| ~ spl90_12
| ~ spl90_151 ),
inference(forward_subsumption_resolution,[],[f6884,f674]) ).
fof(f6887,plain,
( ~ spl90_11
| ~ spl90_12
| ~ spl90_151 ),
inference(avatar_contradiction_clause,[],[f6886]) ).
fof(f6900,plain,
( ~ leq(sK43,minus(n6,n1))
| ~ spl90_106
| ~ spl90_108
| ~ spl90_109
| spl90_110 ),
inference(forward_subsumption_resolution,[],[f5888,f1181]) ).
fof(f6913,plain,
( $false
| ~ spl90_106
| ~ spl90_107
| ~ spl90_108
| ~ spl90_109
| spl90_110 ),
inference(forward_subsumption_resolution,[],[f6900,f1186]) ).
fof(f6914,plain,
( ~ spl90_106
| ~ spl90_107
| ~ spl90_108
| ~ spl90_109
| spl90_110 ),
inference(avatar_contradiction_clause,[],[f6913]) ).
fof(f6921,plain,
( ~ leq(sK59,minus(n6,n1))
| ~ spl90_6
| ~ spl90_7
| ~ spl90_8
| spl90_9 ),
inference(forward_subsumption_resolution,[],[f5874,f650]) ).
fof(f6924,plain,
( $false
| ~ spl90_5
| ~ spl90_6
| ~ spl90_7
| ~ spl90_8
| spl90_9 ),
inference(forward_subsumption_resolution,[],[f6921,f640]) ).
fof(f6925,plain,
( ~ spl90_5
| ~ spl90_6
| ~ spl90_7
| ~ spl90_8
| spl90_9 ),
inference(avatar_contradiction_clause,[],[f6924]) ).
fof(f6937,plain,
( a_select3(q_ds1_filter,sK61,sK62) != a_select3(q_ds1_filter,sK61,sK62)
| ~ leq(n0,sK61)
| ~ leq(n0,sK62)
| ~ leq(sK61,minus(n6,n1))
| ~ leq(sK62,minus(n6,n1))
| spl90_105 ),
inference(superposition,[],[f1176,f396]) ).
fof(f6940,plain,
( ~ leq(n0,sK61)
| ~ leq(n0,sK62)
| ~ leq(sK61,minus(n6,n1))
| ~ leq(sK62,minus(n6,n1))
| spl90_105 ),
inference(trivial_inequality_removal,[],[f6937]) ).
fof(f6942,plain,
( ~ leq(n0,sK62)
| ~ leq(sK61,minus(n6,n1))
| ~ leq(sK62,minus(n6,n1))
| ~ spl90_104
| spl90_105 ),
inference(forward_subsumption_resolution,[],[f6940,f1171]) ).
fof(f6944,plain,
( ~ leq(sK61,minus(n6,n1))
| ~ leq(sK62,minus(n6,n1))
| ~ spl90_103
| ~ spl90_104
| spl90_105 ),
inference(forward_subsumption_resolution,[],[f6942,f1166]) ).
fof(f6946,plain,
( ~ leq(sK62,minus(n6,n1))
| ~ spl90_102
| ~ spl90_103
| ~ spl90_104
| spl90_105 ),
inference(forward_subsumption_resolution,[],[f6944,f1161]) ).
fof(f6949,plain,
( $false
| ~ spl90_101
| ~ spl90_102
| ~ spl90_103
| ~ spl90_104
| spl90_105 ),
inference(forward_subsumption_resolution,[],[f6946,f1156]) ).
fof(f6950,plain,
( ~ spl90_101
| ~ spl90_102
| ~ spl90_103
| ~ spl90_104
| spl90_105 ),
inference(avatar_contradiction_clause,[],[f6949]) ).
fof(f6951,plain,
( ~ leq(sK31,minus(n6,n1))
| ~ leq(sK32,minus(n6,n1))
| ~ spl90_231 ),
inference(forward_subsumption_resolution,[],[f6878,f6723]) ).
fof(f6952,plain,
( ~ leq(sK32,minus(n6,n1))
| ~ spl90_85
| ~ spl90_231 ),
inference(forward_subsumption_resolution,[],[f6951,f1032]) ).
fof(f6953,plain,
( $false
| ~ spl90_84
| ~ spl90_85
| ~ spl90_231 ),
inference(forward_subsumption_resolution,[],[f6952,f1027]) ).
fof(f6954,plain,
( ~ spl90_84
| ~ spl90_85
| ~ spl90_231 ),
inference(avatar_contradiction_clause,[],[f6953]) ).
fof(f6985,plain,
( sP19(pminus_ds1_filter,minus(n6,n1))
| ~ leq(sK55,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1))
| ~ spl90_122 ),
inference(resolution,[],[f1283,f6669]) ).
fof(f6986,plain,
( ~ leq(sK55,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1))
| ~ spl90_122 ),
inference(forward_subsumption_resolution,[],[f6985,f6723]) ).
fof(f6987,plain,
( ~ leq(sK56,minus(n6,n1))
| ~ spl90_18
| ~ spl90_122 ),
inference(forward_subsumption_resolution,[],[f6986,f703]) ).
fof(f6988,plain,
( $false
| ~ spl90_17
| ~ spl90_18
| ~ spl90_122 ),
inference(forward_subsumption_resolution,[],[f6987,f698]) ).
fof(f6989,plain,
( ~ spl90_17
| ~ spl90_18
| ~ spl90_122 ),
inference(avatar_contradiction_clause,[],[f6988]) ).
fof(f6990,plain,
( ~ leq(sK29,minus(n6,n1))
| ~ leq(sK30,minus(n6,n1))
| ~ spl90_212 ),
inference(forward_subsumption_resolution,[],[f6877,f6723]) ).
fof(f6991,plain,
( ~ leq(sK30,minus(n6,n1))
| ~ spl90_91
| ~ spl90_212 ),
inference(forward_subsumption_resolution,[],[f6990,f1061]) ).
fof(f6992,plain,
( $false
| ~ spl90_90
| ~ spl90_91
| ~ spl90_212 ),
inference(forward_subsumption_resolution,[],[f6991,f1056]) ).
fof(f6993,plain,
( ~ spl90_90
| ~ spl90_91
| ~ spl90_212 ),
inference(avatar_contradiction_clause,[],[f6992]) ).
cnf(s1,plain,
( spl90_1
| ~ spl90_2 ),
inference(sat_conversion,[],[f622]) ).
cnf(s3,plain,
( ~ spl90_4
| spl90_5 ),
inference(sat_conversion,[],[f641]) ).
cnf(s4,plain,
( ~ spl90_4
| spl90_6 ),
inference(sat_conversion,[],[f646]) ).
cnf(s5,plain,
( ~ spl90_4
| spl90_7 ),
inference(sat_conversion,[],[f651]) ).
cnf(s6,plain,
( ~ spl90_4
| spl90_8 ),
inference(sat_conversion,[],[f656]) ).
cnf(s7,plain,
( ~ spl90_4
| ~ spl90_9 ),
inference(sat_conversion,[],[f661]) ).
cnf(s8,plain,
( ~ spl90_10
| spl90_11 ),
inference(sat_conversion,[],[f670]) ).
cnf(s9,plain,
( ~ spl90_10
| spl90_12 ),
inference(sat_conversion,[],[f675]) ).
cnf(s10,plain,
( ~ spl90_10
| spl90_13 ),
inference(sat_conversion,[],[f680]) ).
cnf(s11,plain,
( ~ spl90_10
| spl90_14 ),
inference(sat_conversion,[],[f685]) ).
cnf(s12,plain,
( ~ spl90_10
| ~ spl90_15 ),
inference(sat_conversion,[],[f690]) ).
cnf(s13,plain,
( ~ spl90_16
| spl90_17 ),
inference(sat_conversion,[],[f699]) ).
cnf(s14,plain,
( ~ spl90_16
| spl90_18 ),
inference(sat_conversion,[],[f704]) ).
cnf(s15,plain,
( ~ spl90_16
| spl90_19 ),
inference(sat_conversion,[],[f709]) ).
cnf(s16,plain,
( ~ spl90_16
| spl90_20 ),
inference(sat_conversion,[],[f714]) ).
cnf(s17,plain,
( ~ spl90_16
| ~ spl90_21 ),
inference(sat_conversion,[],[f719]) ).
cnf(s18,plain,
( ~ spl90_22
| spl90_23 ),
inference(sat_conversion,[],[f728]) ).
cnf(s19,plain,
( ~ spl90_22
| spl90_24 ),
inference(sat_conversion,[],[f733]) ).
cnf(s20,plain,
( ~ spl90_22
| spl90_25 ),
inference(sat_conversion,[],[f738]) ).
cnf(s21,plain,
( ~ spl90_22
| spl90_26 ),
inference(sat_conversion,[],[f743]) ).
cnf(s22,plain,
( ~ spl90_22
| ~ spl90_27 ),
inference(sat_conversion,[],[f748]) ).
cnf(s64,plain,
( ~ spl90_77
| spl90_78 ),
inference(sat_conversion,[],[f999]) ).
cnf(s65,plain,
( ~ spl90_77
| spl90_79 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s66,plain,
( ~ spl90_77
| spl90_80 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s67,plain,
( ~ spl90_77
| spl90_81 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s68,plain,
( ~ spl90_77
| ~ spl90_82 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s69,plain,
( ~ spl90_83
| spl90_84 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s70,plain,
( ~ spl90_83
| spl90_85 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s71,plain,
( ~ spl90_83
| spl90_86 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s72,plain,
( ~ spl90_83
| spl90_87 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s73,plain,
( ~ spl90_83
| ~ spl90_88 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s74,plain,
( ~ spl90_89
| spl90_90 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s75,plain,
( ~ spl90_89
| spl90_91 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s76,plain,
( ~ spl90_89
| spl90_92 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s77,plain,
( ~ spl90_89
| spl90_93 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s78,plain,
( ~ spl90_89
| ~ spl90_94 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s79,plain,
( ~ spl90_95
| spl90_96 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s80,plain,
( ~ spl90_95
| spl90_97 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s81,plain,
( ~ spl90_95
| spl90_98 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s82,plain,
( ~ spl90_95
| spl90_99 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s83,plain,
( ~ spl90_95
| ~ spl90_100 ),
inference(sat_conversion,[],[f1106]) ).
cnf(s84,plain,
( spl90_2
| ~ spl90_3 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s85,plain,
( ~ spl90_1
| spl90_2 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s86,plain,
( ~ spl90_1
| ~ spl90_2
| spl90_52 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s87,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_101 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s88,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_102 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s89,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_103 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s90,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| spl90_104 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s91,plain,
( spl90_1
| spl90_3
| spl90_77
| spl90_83
| spl90_89
| spl90_95
| ~ spl90_105 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s92,plain,
( spl90_4
| spl90_10
| spl90_16
| spl90_22
| ~ spl90_52
| spl90_106 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s93,plain,
( spl90_4
| spl90_10
| spl90_16
| spl90_22
| ~ spl90_52
| spl90_107 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s94,plain,
( spl90_4
| spl90_10
| spl90_16
| spl90_22
| ~ spl90_52
| spl90_108 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s95,plain,
( spl90_4
| spl90_10
| spl90_16
| spl90_22
| ~ spl90_52
| spl90_109 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s96,plain,
( spl90_4
| spl90_10
| spl90_16
| spl90_22
| ~ spl90_52
| ~ spl90_110 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s108,plain,
( ~ spl90_78
| ~ spl90_79
| ~ spl90_80
| ~ spl90_81
| spl90_82 ),
inference(sat_conversion,[],[f1269]) ).
cnf(s110,plain,
( ~ spl90_19
| ~ spl90_20
| spl90_21
| spl90_121
| spl90_122 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s112,plain,
( ~ spl90_19
| ~ spl90_20
| spl90_21
| spl90_122
| spl90_123 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s114,plain,
( ~ spl90_19
| ~ spl90_20
| spl90_21
| spl90_122
| spl90_124 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s145,plain,
( ~ spl90_13
| ~ spl90_14
| spl90_15
| spl90_124
| spl90_151 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s179,plain,
( ~ spl90_23
| ~ spl90_24
| ~ spl90_25
| ~ spl90_26
| spl90_27 ),
inference(sat_conversion,[],[f4409]) ).
cnf(s213,plain,
( ~ spl90_121
| ~ spl90_123
| ~ spl90_124
| ~ spl90_147
| ~ spl90_149 ),
inference(sat_conversion,[],[f4658]) ).
cnf(s248,plain,
( ~ spl90_96
| ~ spl90_97
| ~ spl90_98
| ~ spl90_99
| spl90_100 ),
inference(sat_conversion,[],[f5015]) ).
cnf(s252,plain,
( ~ spl90_92
| ~ spl90_93
| spl90_94
| spl90_149
| spl90_212 ),
inference(sat_conversion,[],[f5106]) ).
cnf(s277,plain,
( ~ spl90_86
| ~ spl90_87
| spl90_88
| spl90_149
| spl90_231 ),
inference(sat_conversion,[],[f5323]) ).
cnf(s319,plain,
( ~ spl90_86
| ~ spl90_87
| spl90_88
| spl90_121
| spl90_231 ),
inference(sat_conversion,[],[f5738]) ).
cnf(s323,plain,
( ~ spl90_86
| ~ spl90_87
| spl90_88
| spl90_123
| spl90_231 ),
inference(sat_conversion,[],[f5747]) ).
cnf(s325,plain,
( ~ spl90_86
| ~ spl90_87
| spl90_88
| spl90_124
| spl90_231 ),
inference(sat_conversion,[],[f5751]) ).
cnf(s327,plain,
( ~ spl90_86
| ~ spl90_87
| spl90_88
| spl90_147
| spl90_231 ),
inference(sat_conversion,[],[f5754]) ).
cnf(s379,plain,
( ~ spl90_13
| ~ spl90_14
| spl90_15
| spl90_121
| spl90_151 ),
inference(sat_conversion,[],[f6266]) ).
cnf(s388,plain,
( ~ spl90_92
| ~ spl90_93
| spl90_94
| spl90_121
| spl90_212 ),
inference(sat_conversion,[],[f6306]) ).
cnf(s392,plain,
( ~ spl90_92
| ~ spl90_93
| spl90_94
| spl90_123
| spl90_212 ),
inference(sat_conversion,[],[f6320]) ).
cnf(s394,plain,
( ~ spl90_92
| ~ spl90_93
| spl90_94
| spl90_124
| spl90_212 ),
inference(sat_conversion,[],[f6330]) ).
cnf(s396,plain,
( ~ spl90_92
| ~ spl90_93
| spl90_94
| spl90_147
| spl90_212 ),
inference(sat_conversion,[],[f6336]) ).
cnf(s407,plain,
( ~ spl90_19
| ~ spl90_20
| spl90_21
| spl90_122
| spl90_149 ),
inference(sat_conversion,[],[f6364]) ).
cnf(s408,plain,
( ~ spl90_19
| ~ spl90_20
| spl90_21
| spl90_122
| spl90_147 ),
inference(sat_conversion,[],[f6365]) ).
cnf(s410,plain,
( ~ spl90_13
| ~ spl90_14
| spl90_15
| spl90_147
| spl90_151 ),
inference(sat_conversion,[],[f6371]) ).
cnf(s412,plain,
( ~ spl90_13
| ~ spl90_14
| spl90_15
| spl90_149
| spl90_151 ),
inference(sat_conversion,[],[f6373]) ).
cnf(s417,plain,
( ~ spl90_13
| ~ spl90_14
| spl90_15
| spl90_123
| spl90_151 ),
inference(sat_conversion,[],[f6398]) ).
cnf(s445,plain,
( ~ spl90_11
| ~ spl90_12
| ~ spl90_151 ),
inference(sat_conversion,[],[f6887]) ).
cnf(s451,plain,
( ~ spl90_106
| ~ spl90_107
| ~ spl90_108
| ~ spl90_109
| spl90_110 ),
inference(sat_conversion,[],[f6914]) ).
cnf(s455,plain,
( ~ spl90_5
| ~ spl90_6
| ~ spl90_7
| ~ spl90_8
| spl90_9 ),
inference(sat_conversion,[],[f6925]) ).
cnf(s459,plain,
( ~ spl90_101
| ~ spl90_102
| ~ spl90_103
| ~ spl90_104
| spl90_105 ),
inference(sat_conversion,[],[f6950]) ).
cnf(s460,plain,
( ~ spl90_84
| ~ spl90_85
| ~ spl90_231 ),
inference(sat_conversion,[],[f6954]) ).
cnf(s475,plain,
( ~ spl90_17
| ~ spl90_18
| ~ spl90_122 ),
inference(sat_conversion,[],[f6989]) ).
cnf(s477,plain,
( ~ spl90_90
| ~ spl90_91
| ~ spl90_212 ),
inference(sat_conversion,[],[f6993]) ).
cnf(s478,plain,
( spl90_95
| spl90_89
| spl90_1
| spl90_3
| spl90_77
| spl90_83 ),
inference(rat,[],[s459,s88,s89,s87,s90,s91]) ).
cnf(s479,plain,
~ spl90_95,
inference(rat,[],[s248,s79,s80,s81,s82,s83]) ).
cnf(s480,plain,
( spl90_212
| ~ spl90_92
| spl90_94
| ~ spl90_93 ),
inference(rat,[],[s213,s252,s388,s392,s394,s396]) ).
cnf(s481,plain,
~ spl90_89,
inference(rat,[],[s480,s477,s74,s75,s76,s77,s78]) ).
cnf(s482,plain,
( spl90_231
| ~ spl90_86
| spl90_88
| ~ spl90_87 ),
inference(rat,[],[s213,s277,s319,s323,s325,s327]) ).
cnf(s483,plain,
~ spl90_83,
inference(rat,[],[s482,s460,s69,s70,s71,s72,s73]) ).
cnf(s484,plain,
~ spl90_77,
inference(rat,[],[s108,s64,s65,s66,s67,s68]) ).
cnf(s485,plain,
spl90_1,
inference(rat,[],[s84,s478,s1,s483,s484,s479,s481]) ).
cnf(s486,plain,
spl90_2,
inference(rat,[],[s85,s485]) ).
cnf(s487,plain,
spl90_52,
inference(rat,[],[s86,s486,s485]) ).
cnf(s490,plain,
( spl90_22
| spl90_16
| spl90_4
| spl90_10 ),
inference(rat,[],[s451,s96,s92,s93,s94,s95,s487]) ).
cnf(s491,plain,
~ spl90_22,
inference(rat,[],[s179,s18,s19,s20,s21,s22]) ).
cnf(s492,plain,
( ~ spl90_16
| spl90_124 ),
inference(rat,[],[s475,s114,s13,s14,s15,s16,s17]) ).
cnf(s493,plain,
( ~ spl90_10
| spl90_123 ),
inference(rat,[],[s445,s417,s8,s9,s10,s11,s12]) ).
cnf(s494,plain,
~ spl90_4,
inference(rat,[],[s455,s3,s4,s5,s6,s7]) ).
cnf(s495,plain,
spl90_123,
inference(rat,[],[s475,s112,s13,s14,s15,s16,s17,s490,s493,s494,s491]) ).
cnf(s496,plain,
( ~ spl90_10
| spl90_121 ),
inference(rat,[],[s445,s379,s8,s9,s10,s11,s12]) ).
cnf(s497,plain,
spl90_121,
inference(rat,[],[s475,s110,s13,s14,s15,s16,s17,s490,s496,s491,s494]) ).
cnf(s498,plain,
spl90_124,
inference(rat,[],[s445,s145,s8,s9,s10,s11,s12,s490,s492,s491,s494]) ).
cnf(s499,plain,
( spl90_122
| ~ spl90_19
| spl90_21
| ~ spl90_20 ),
inference(rat,[],[s213,s407,s408,s498,s497,s495]) ).
cnf(s500,plain,
~ spl90_16,
inference(rat,[],[s499,s475,s13,s14,s15,s16,s17]) ).
cnf(s501,plain,
spl90_10,
inference(rat,[],[s490,s494,s491,s500]) ).
cnf(s502,plain,
~ spl90_15,
inference(rat,[],[s12,s501]) ).
cnf(s503,plain,
spl90_14,
inference(rat,[],[s11,s501]) ).
cnf(s504,plain,
spl90_13,
inference(rat,[],[s10,s501]) ).
cnf(s505,plain,
spl90_12,
inference(rat,[],[s9,s501]) ).
cnf(s506,plain,
spl90_11,
inference(rat,[],[s8,s501]) ).
cnf(s507,plain,
~ spl90_151,
inference(rat,[],[s445,s505,s506]) ).
cnf(s508,plain,
spl90_149,
inference(rat,[],[s412,s503,s504,s502,s507]) ).
cnf(s509,plain,
spl90_147,
inference(rat,[],[s410,s503,s504,s502,s507]) ).
cnf(s510,plain,
$false,
inference(rat,[],[s213,s498,s497,s495,s508,s509]) ).
fof(f6994,plain,
$false,
inference(avatar_sat_refutation,[],[s510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV118+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n007.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 09:55:55 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/2.83 % (2293328)Detected formulas, will run a generic FOF schedule.
% 14.89/2.83 % (2293335)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=275186755:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.89/2.83 % (2293338)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=786183709:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.89/2.83 % (2293334)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3175083903:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.89/2.83 % (2293336)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=511349405:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.89/2.83 % (2293339)dis-21_1_sil=8000:lcm=predicate:random_seed=4148984754:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 14.89/2.83 % (2293337)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3590487216:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.89/2.83 % (2293333)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=832765:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.89/2.83 % (2293336)Instruction limit reached!
% 14.89/2.83 % (2293336)------------------------------
% 14.89/2.83 % (2293336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.89/2.83 % (2293336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.83 % (2293336)CaDiCaL version: 2.1.3
% 14.89/2.83 % (2293336)Termination reason: Instruction limit
% 14.89/2.83 % (2293336)Termination phase: Saturation
% 14.89/2.83 % (2293336)Time elapsed: 0.056 s
% 14.89/2.83 % (2293336)Peak memory usage: 90 MB
% 14.89/2.83 % (2293336)Instructions burned: 110 (million)
% 14.89/2.83 % (2293337)Instruction limit reached!
% 14.89/2.83 % (2293337)------------------------------
% 14.89/2.83 % (2293337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.89/2.83 % (2293337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.83 % (2293337)CaDiCaL version: 2.1.3
% 14.89/2.83 % (2293337)Termination reason: Instruction limit
% 14.89/2.83 % (2293337)Termination phase: Saturation
% 14.89/2.83 % (2293337)Time elapsed: 0.061 s
% 14.89/2.83 % (2293337)Peak memory usage: 89 MB
% 14.89/2.83 % (2293337)Instructions burned: 119 (million)
% 14.89/2.83 % (2293339)Instruction limit reached!
% 14.89/2.83 % (2293339)------------------------------
% 14.89/2.83 % (2293339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.89/2.83 % (2293339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.83 % (2293339)CaDiCaL version: 2.1.3
% 14.89/2.83 % (2293339)Termination reason: Instruction limit
% 14.89/2.83 % (2293339)Termination phase: Saturation
% 14.89/2.83 % (2293339)Time elapsed: 0.066 s
% 14.89/2.83 % (2293339)Peak memory usage: 90 MB
% 14.89/2.83 % (2293339)Instructions burned: 131 (million)
% 14.89/2.83 % (2293338)Instruction limit reached!
% 14.89/2.83 % (2293338)------------------------------
% 14.89/2.83 % (2293338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.89/2.83 % (2293338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.83 % (2293338)CaDiCaL version: 2.1.3
% 14.89/2.83 % (2293338)Termination reason: Instruction limit
% 14.89/2.83 % (2293338)Termination phase: Saturation
% 14.89/2.83 % (2293338)Time elapsed: 0.083 s
% 14.89/2.83 % (2293338)Peak memory usage: 89 MB
% 14.89/2.83 % (2293338)Instructions burned: 140 (million)
% 14.89/2.83 % (2293347)lrs+10_1_sil=8000:sp=occurrence:random_seed=1207918806:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.89/2.83 % (2293349)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3087640072:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.89/2.83 % (2293348)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1326407821:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.89/2.83 % (2293350)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3760347714:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 14.89/2.83 % (2293348)Refutation not found, incomplete strategy
% 18.87/3.39 % (2293348)------------------------------
% 18.87/3.39 % (2293348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293348)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293348)Termination reason: Refutation not found, incomplete strategy
% 18.87/3.39 % (2293348)Time elapsed: 0.046 s
% 18.87/3.39 % (2293348)Peak memory usage: 90 MB
% 18.87/3.39 % (2293348)Instructions burned: 92 (million)
% 18.87/3.39 % (2293350)Instruction limit reached!
% 18.87/3.39 % (2293350)------------------------------
% 18.87/3.39 % (2293350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293350)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293350)Termination reason: Instruction limit
% 18.87/3.39 % (2293350)Termination phase: Saturation
% 18.87/3.39 % (2293350)Time elapsed: 0.127 s
% 18.87/3.39 % (2293350)Peak memory usage: 90 MB
% 18.87/3.39 % (2293350)Instructions burned: 249 (million)
% 18.87/3.39 % (2293347)Instruction limit reached!
% 18.87/3.39 % (2293347)------------------------------
% 18.87/3.39 % (2293347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293347)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293347)Termination reason: Instruction limit
% 18.87/3.39 % (2293347)Termination phase: Saturation
% 18.87/3.39 % (2293347)Time elapsed: 0.156 s
% 18.87/3.39 % (2293347)Peak memory usage: 92 MB
% 18.87/3.39 % (2293347)Instructions burned: 286 (million)
% 18.87/3.39 % (2293349)Instruction limit reached!
% 18.87/3.39 % (2293349)------------------------------
% 18.87/3.39 % (2293349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293349)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293349)Termination reason: Instruction limit
% 18.87/3.39 % (2293349)Termination phase: Saturation
% 18.87/3.39 % (2293349)Time elapsed: 0.175 s
% 18.87/3.39 % (2293349)Peak memory usage: 91 MB
% 18.87/3.39 % (2293349)Instructions burned: 326 (million)
% 18.87/3.39 % (2293348)------------------------------
% 18.87/3.39 % (2293348)------------------------------
% 18.87/3.39 % (2293355)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3395387795:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.87/3.39 % (2293356)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2811920243:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.87/3.39 % (2293357)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2359395125:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.87/3.39 % (2293357)Instruction limit reached!
% 18.87/3.39 % (2293357)------------------------------
% 18.87/3.39 % (2293357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293357)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293357)Termination reason: Instruction limit
% 18.87/3.39 % (2293357)Termination phase: Saturation
% 18.87/3.39 % (2293357)Time elapsed: 0.058 s
% 18.87/3.39 % (2293357)Peak memory usage: 90 MB
% 18.87/3.39 % (2293357)Instructions burned: 113 (million)
% 18.87/3.39 % (2293358)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3538548414:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.87/3.39 % (2293355)Instruction limit reached!
% 18.87/3.39 % (2293355)------------------------------
% 18.87/3.39 % (2293355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293355)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293355)Termination reason: Instruction limit
% 18.87/3.39 % (2293355)Termination phase: Saturation
% 18.87/3.39 % (2293355)Time elapsed: 0.158 s
% 18.87/3.39 % (2293355)Peak memory usage: 90 MB
% 18.87/3.39 % (2293355)Instructions burned: 294 (million)
% 18.87/3.39 % (2293358)Instruction limit reached!
% 18.87/3.39 % (2293358)------------------------------
% 18.87/3.39 % (2293358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293358)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293358)Termination reason: Instruction limit
% 18.87/3.39 % (2293358)Termination phase: Saturation
% 18.87/3.39 % (2293358)Time elapsed: 0.058 s
% 18.87/3.39 % (2293358)Peak memory usage: 89 MB
% 18.87/3.39 % (2293358)Instructions burned: 128 (million)
% 18.87/3.39 % (2293362)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=269120687:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 18.87/3.39 % (2293364)lrs+10_1_sil=8000:sp=occurrence:random_seed=3828652678:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 18.87/3.39 % (2293362)Instruction limit reached!
% 18.87/3.39 % (2293362)------------------------------
% 18.87/3.39 % (2293362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293362)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293362)Termination reason: Instruction limit
% 18.87/3.39 % (2293362)Termination phase: Clausification
% 18.87/3.39 % (2293362)Time elapsed: 0.085 s
% 18.87/3.39 % (2293362)Peak memory usage: 121 MB
% 18.87/3.39 % (2293362)Instructions burned: 115 (million)
% 18.87/3.39 % (2293365)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2164912225:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 18.87/3.39 % (2293368)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=570021:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 18.87/3.39 % (2293365)Instruction limit reached!
% 18.87/3.39 % (2293365)------------------------------
% 18.87/3.39 % (2293365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293365)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293365)Termination reason: Instruction limit
% 18.87/3.39 % (2293365)Termination phase: Saturation
% 18.87/3.39 % (2293365)Time elapsed: 0.232 s
% 18.87/3.39 % (2293365)Peak memory usage: 92 MB
% 18.87/3.39 % (2293365)Instructions burned: 437 (million)
% 18.87/3.39 % (2293371)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=334597244:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 18.87/3.39 % (2293364)Instruction limit reached!
% 18.87/3.39 % (2293364)------------------------------
% 18.87/3.39 % (2293364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293364)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293364)Termination reason: Instruction limit
% 18.87/3.39 % (2293364)Termination phase: Saturation
% 18.87/3.39 % (2293364)Time elapsed: 0.515 s
% 18.87/3.39 % (2293364)Peak memory usage: 97 MB
% 18.87/3.39 % (2293364)Instructions burned: 909 (million)
% 18.87/3.39 % (2293371)Instruction limit reached!
% 18.87/3.39 % (2293371)------------------------------
% 18.87/3.39 % (2293371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293371)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293371)Termination reason: Instruction limit
% 18.87/3.39 % (2293371)Termination phase: Saturation
% 18.87/3.39 % (2293371)Time elapsed: 0.071 s
% 18.87/3.39 % (2293371)Peak memory usage: 90 MB
% 18.87/3.39 % (2293371)Instructions burned: 134 (million)
% 18.87/3.39 % (2293373)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1619190121:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 18.87/3.39 % (2293374)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1524602135:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 18.87/3.39 % (2293373)Instruction limit reached!
% 18.87/3.39 % (2293373)------------------------------
% 18.87/3.39 % (2293373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293373)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293373)Termination reason: Instruction limit
% 18.87/3.39 % (2293373)Termination phase: Saturation
% 18.87/3.39 % (2293373)Time elapsed: 0.337 s
% 18.87/3.39 % (2293373)Peak memory usage: 96 MB
% 18.87/3.39 % (2293373)Instructions burned: 592 (million)
% 18.87/3.39 % (2293377)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3330008843:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 18.87/3.39 % (2293356)Instruction limit reached!
% 18.87/3.39 % (2293356)------------------------------
% 18.87/3.39 % (2293356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293356)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293356)Termination reason: Instruction limit
% 18.87/3.39 % (2293356)Termination phase: Saturation
% 18.87/3.39 % (2293356)Time elapsed: 1.543 s
% 18.87/3.39 % (2293356)Peak memory usage: 142 MB
% 18.87/3.39 % (2293356)Instructions burned: 2351 (million)
% 18.87/3.39 % (2293377)Instruction limit reached!
% 18.87/3.39 % (2293377)------------------------------
% 18.87/3.39 % (2293377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293377)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293377)Termination reason: Instruction limit
% 18.87/3.39 % (2293377)Termination phase: Saturation
% 18.87/3.39 % (2293377)Time elapsed: 0.066 s
% 18.87/3.39 % (2293377)Peak memory usage: 90 MB
% 18.87/3.39 % (2293377)Instructions burned: 125 (million)
% 18.87/3.39 % (2293379)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3100344494:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 18.87/3.39 % (2293380)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4109748709:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 18.87/3.39 % (2293368)First to succeed.
% 18.87/3.39 % (2293379)Instruction limit reached!
% 18.87/3.39 % (2293379)------------------------------
% 18.87/3.39 % (2293379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293379)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293379)Termination reason: Instruction limit
% 18.87/3.39 % (2293379)Termination phase: Saturation
% 18.87/3.39 % (2293379)Time elapsed: 0.077 s
% 18.87/3.39 % (2293379)Peak memory usage: 91 MB
% 18.87/3.39 % (2293379)Instructions burned: 135 (million)
% 18.87/3.39 % (2293368)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2293328"
% 18.87/3.39 % (2293380)Instruction limit reached!
% 18.87/3.39 % (2293380)------------------------------
% 18.87/3.39 % (2293380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.39 % (2293380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.39 % (2293380)CaDiCaL version: 2.1.3
% 18.87/3.39 % (2293380)Termination reason: Instruction limit
% 18.87/3.39 % (2293380)Termination phase: Saturation
% 18.87/3.39 % (2293380)Time elapsed: 0.073 s
% 18.87/3.39 % (2293380)Peak memory usage: 90 MB
% 18.87/3.39 % (2293380)Instructions burned: 142 (million)
% 18.87/3.39 % (2293384)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2467471322:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 18.87/3.39 % (2293383)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2013453324:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 18.87/3.39 % (2293368)Refutation found. Thanks to Tanya!
% 18.87/3.39 % SZS status Theorem for theBenchmark
% 18.87/3.39 % SZS output start Proof for theBenchmark
% See solution above
% 19.98/3.59 % (2293368)------------------------------
% 19.98/3.59 % (2293368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.98/3.59 % (2293368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.59 % (2293368)CaDiCaL version: 2.1.3
% 19.98/3.59 % (2293368)Termination reason: Refutation
% 19.98/3.59 % (2293368)Time elapsed: 1.298 s
% 19.98/3.59 % (2293368)Peak memory usage: 139 MB
% 19.98/3.59 % (2293368)Instructions burned: 2061 (million)
% 19.98/3.59 % (2293368)------------------------------
% 19.98/3.59 % (2293368)------------------------------
% 19.98/3.59 % (2293328)Success in time 2.758 s
% 19.98/3.59 % Vampire exiting
%------------------------------------------------------------------------------