TSTP Solution File: ITP150^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ITP150^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 23:44:50 EDT 2022
% Result : Theorem 3.95s 4.16s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 194
% Syntax : Number of formulae : 1413 ( 772 unt; 74 typ; 0 def)
% Number of atoms : 7385 (4568 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 12302 (1667 ~;1576 |; 32 &;8957 @)
% ( 0 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 129 ( 129 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 68 usr; 11 con; 0-4 aty)
% Number of variables : 4148 ( 65 ^4083 !; 0 ?;4148 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_list_a,type,
list_a: $tType ).
thf(tp_list_nat,type,
list_nat: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_polyno1532895200ly_nat,type,
polyno1532895200ly_nat: $tType ).
thf(tp_polyno727731844poly_a,type,
polyno727731844poly_a: $tType ).
thf(tp_compow1114216044poly_a,type,
compow1114216044poly_a: nat > ( polyno727731844poly_a > polyno727731844poly_a ) > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_compow808008746ly_nat,type,
compow808008746ly_nat: nat > ( polyno1532895200ly_nat > polyno1532895200ly_nat ) > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_if_nat,type,
if_nat: $o > nat > nat > nat ).
thf(tp_n0,type,
n0: nat ).
thf(tp_n1,type,
n1: nat ).
thf(tp_one_one_a,type,
one_one_a: a ).
thf(tp_one_one_nat,type,
one_one_nat: nat ).
thf(tp_p,type,
p: polyno727731844poly_a ).
thf(tp_plus_plus_a,type,
plus_plus_a: a > a > a ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_polyno1006823949_aux_a,type,
polyno1006823949_aux_a: a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1013235523ly_nat,type,
polyno1013235523ly_nat: polyno1532895200ly_nat > $o ).
thf(tp_polyno1057396216e_CN_a,type,
polyno1057396216e_CN_a: polyno727731844poly_a > nat > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1222032024dd_nat,type,
polyno1222032024dd_nat: polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1366804583eg_nat,type,
polyno1366804583eg_nat: polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1371724751ypow_a,type,
polyno1371724751ypow_a: nat > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1372495879olyh_a,type,
polyno1372495879olyh_a: polyno727731844poly_a > nat > $o ).
thf(tp_polyno1397854436bst0_a,type,
polyno1397854436bst0_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1415441627ul_nat,type,
polyno1415441627ul_nat: polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1418491367ysub_a,type,
polyno1418491367ysub_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1438831695bs_nat,type,
polyno1438831695bs_nat: list_nat > polyno1532895200ly_nat > $o ).
thf(tp_polyno1465139388head_a,type,
polyno1465139388head_a: polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1467023772ul_nat,type,
polyno1467023772ul_nat: nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1491482291_Mul_a,type,
polyno1491482291_Mul_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1510045887ow_nat,type,
polyno1510045887ow_nat: nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1538138524e_Pw_a,type,
polyno1538138524e_Pw_a: polyno727731844poly_a > nat > polyno727731844poly_a ).
thf(tp_polyno1623170614_Add_a,type,
polyno1623170614_Add_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1674775833reen_a,type,
polyno1674775833reen_a: polyno727731844poly_a > nat > nat ).
thf(tp_polyno1779722485en_nat,type,
polyno1779722485en_nat: polyno1532895200ly_nat > nat > nat ).
thf(tp_polyno1884029055head_a,type,
polyno1884029055head_a: polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno190918219poly_a,type,
polyno190918219poly_a: polyno727731844poly_a > $o ).
thf(tp_polyno1921014231ub_nat,type,
polyno1921014231ub_nat: polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1934269411ymul_a,type,
polyno1934269411ymul_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno1952548879ad_nat,type,
polyno1952548879ad_nat: polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1964927358t1_nat,type,
polyno1964927358t1_nat: polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno1999838549nd_nat,type,
polyno1999838549nd_nat: nat > polyno1532895200ly_nat ).
thf(tp_polyno2024845497ound_a,type,
polyno2024845497ound_a: nat > polyno727731844poly_a ).
thf(tp_polyno2115742616onst_a,type,
polyno2115742616onst_a: polyno727731844poly_a > a ).
thf(tp_polyno2122022170_C_nat,type,
polyno2122022170_C_nat: nat > polyno1532895200ly_nat ).
thf(tp_polyno212464073eriv_a,type,
polyno212464073eriv_a: polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno220183259ee_nat,type,
polyno220183259ee_nat: polyno1532895200ly_nat > nat ).
thf(tp_polyno336795754t0_nat,type,
polyno336795754t0_nat: polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno359287218Pw_nat,type,
polyno359287218Pw_nat: polyno1532895200ly_nat > nat > polyno1532895200ly_nat ).
thf(tp_polyno422358502poly_a,type,
polyno422358502poly_a: list_a > polyno727731844poly_a > a ).
thf(tp_polyno439679028le_C_a,type,
polyno439679028le_C_a: a > polyno727731844poly_a ).
thf(tp_polyno524777654st_nat,type,
polyno524777654st_nat: polyno1532895200ly_nat > nat ).
thf(tp_polyno544860353dn_nat,type,
polyno544860353dn_nat: polyno1532895200ly_nat > nat > polyno1532895200ly_nat ).
thf(tp_polyno562434098cmul_a,type,
polyno562434098cmul_a: a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno567601229eadn_a,type,
polyno567601229eadn_a: polyno727731844poly_a > nat > polyno727731844poly_a ).
thf(tp_polyno578545843gree_a,type,
polyno578545843gree_a: polyno727731844poly_a > nat ).
thf(tp_polyno587244178ad_nat,type,
polyno587244178ad_nat: polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno720942678CN_nat,type,
polyno720942678CN_nat: polyno1532895200ly_nat > nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno784948432ift1_a,type,
polyno784948432ift1_a: polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno892049031yh_nat,type,
polyno892049031yh_nat: polyno1532895200ly_nat > nat > $o ).
thf(tp_polyno896877631f_bs_a,type,
polyno896877631f_bs_a: list_a > polyno727731844poly_a > $o ).
thf(tp_polyno929799083ul_nat,type,
polyno929799083ul_nat: polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat ).
thf(tp_polyno955999183nate_a,type,
polyno955999183nate_a: polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno96675367_Neg_a,type,
polyno96675367_Neg_a: polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_polyno975704247_Sub_a,type,
polyno975704247_Sub_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).
thf(tp_q,type,
q: polyno727731844poly_a ).
thf(tp_sK1_P4,type,
sK1_P4: ( polyno727731844poly_a > polyno727731844poly_a ) > nat > polyno727731844poly_a ).
thf(tp_sK2_Bs3,type,
sK2_Bs3: polyno727731844poly_a > list_a ).
thf(tp_sK3_Bs,type,
sK3_Bs: list_a ).
thf(tp_sK4_SY696,type,
sK4_SY696: nat > nat > polyno727731844poly_a > polyno727731844poly_a > list_a ).
thf(tp_times_times_a,type,
times_times_a: a > a > a ).
thf(tp_times_times_nat,type,
times_times_nat: nat > nat > nat ).
thf(tp_zero_zero_a,type,
zero_zero_a: a ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(4,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno975704247_Sub_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno975704247_Sub_a @ V @ Va ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_polymul_Osimps_I7_J) ).
thf(6,axiom,
! [P: polyno727731844poly_a,N: nat,K2: nat] :
( ( polyno1372495879olyh_a @ P @ N )
=> ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ K2 @ P ) @ N ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_polypow__normh) ).
thf(14,axiom,
! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno975704247_Sub_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno975704247_Sub_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_poly__cmul_Osimps_I5_J) ).
thf(23,axiom,
! [W: a,Y: a,X: a,Z: a] :
( ( ( plus_plus_a @ ( times_times_a @ W @ Y ) @ ( times_times_a @ X @ Z ) )
= ( plus_plus_a @ ( times_times_a @ W @ Z ) @ ( times_times_a @ X @ Y ) ) )
= ( ( W = X )
| ( Y = Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_crossproduct__eq) ).
thf(25,axiom,
! [A: a,B: a,C: a,D: a] :
( ( ( A != B )
& ( C != D ) )
= ( ( ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ D ) )
!= ( plus_plus_a @ ( times_times_a @ A @ D ) @ ( times_times_a @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_crossproduct__noteq) ).
thf(40,axiom,
! [P: polyno727731844poly_a,N: nat] :
( ( polyno1372495879olyh_a @ P @ N )
=> ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ P ) @ N ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_behead__isnpolyh) ).
thf(44,axiom,
! [Y: a,V: polyno727731844poly_a,Va: nat] :
( ( polyno562434098cmul_a @ Y @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1538138524e_Pw_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_poly__cmul_Osimps_I8_J) ).
thf(45,axiom,
! [Vc: polyno727731844poly_a,Vd: nat,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_polymul_Osimps_I28_J) ).
thf(47,axiom,
! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_polymul_Osimps_I16_J) ).
thf(49,axiom,
! [Bs2: list_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1623170614_Add_a @ A @ B ) )
= ( plus_plus_a @ ( polyno422358502poly_a @ Bs2 @ A ) @ ( polyno422358502poly_a @ Bs2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_Ipoly_Osimps_I4_J) ).
thf(50,axiom,
! [V: polyno727731844poly_a,Va: nat,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ V @ Va ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_polymul_Osimps_I10_J) ).
thf(52,axiom,
! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat] :
( ( polyno1934269411ymul_a @ A @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1538138524e_Pw_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_polymul_Osimps_I22_J) ).
thf(55,axiom,
! [X1: a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_poly_Odistinct_I11_J) ).
thf(58,axiom,
! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_poly_Odistinct_I47_J) ).
thf(59,axiom,
! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_ring__class_Oring__distribs_I2_J) ).
thf(60,axiom,
! [A: a,B: a,C: a] :
( ( times_times_a @ A @ ( plus_plus_a @ B @ C ) )
= ( plus_plus_a @ ( times_times_a @ A @ B ) @ ( times_times_a @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_ring__class_Oring__distribs_I1_J) ).
thf(61,axiom,
! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_comm__semiring__class_Odistrib) ).
thf(63,axiom,
! [A: a,B: a,C: a] :
( ( times_times_a @ A @ ( plus_plus_a @ B @ C ) )
= ( plus_plus_a @ ( times_times_a @ A @ B ) @ ( times_times_a @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_distrib__left) ).
thf(65,axiom,
! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_distrib__right) ).
thf(67,axiom,
! [A: a,E: a,B: a,C: a] :
( ( plus_plus_a @ ( times_times_a @ A @ E ) @ ( plus_plus_a @ ( times_times_a @ B @ E ) @ C ) )
= ( plus_plus_a @ ( times_times_a @ ( plus_plus_a @ A @ B ) @ E ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_combine__common__factor) ).
thf(80,axiom,
! [V: polyno727731844poly_a,Va: nat] :
( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_isnpolyh_Osimps_I8_J) ).
thf(113,axiom,
! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ P ) @ N0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_head__isnpolyh) ).
thf(116,axiom,
! [V: nat] :
( ( polyno1884029055head_a @ ( polyno2024845497ound_a @ V ) )
= ( polyno2024845497ound_a @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_head_Osimps_I3_J) ).
thf(118,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1623170614_Add_a @ V @ Va ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_head_Osimps_I4_J) ).
thf(119,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ V @ Va ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_head_Osimps_I6_J) ).
thf(122,axiom,
! [V: a] :
( ( polyno1884029055head_a @ ( polyno439679028le_C_a @ V ) )
= ( polyno439679028le_C_a @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_head_Osimps_I2_J) ).
thf(125,axiom,
! [N: nat,F: polyno727731844poly_a > polyno727731844poly_a,P: polyno727731844poly_a,K2: nat] :
( ! [P4: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ P4 @ N )
=> ( polyno1372495879olyh_a @ ( F @ P4 ) @ N ) )
=> ( ( polyno1372495879olyh_a @ P @ N )
=> ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ K2 @ F @ P ) @ N ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_funpow__isnpolyh) ).
thf(157,axiom,
! [N: a] :
( ( polyno2115742616onst_a @ ( polyno439679028le_C_a @ N ) )
= N ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_headconst_Osimps_I2_J) ).
thf(159,axiom,
! [C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno2115742616onst_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno2115742616onst_a @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_headconst_Osimps_I1_J) ).
thf(160,axiom,
! [P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno190918219poly_a @ P )
=> ( ( polyno190918219poly_a @ Q )
=> ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_polysub__norm) ).
thf(161,axiom,
! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno896877631f_bs_a @ Bs2 @ P )
=> ( ( polyno896877631f_bs_a @ Bs2 @ Q )
=> ( polyno896877631f_bs_a @ Bs2 @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_wf__bs__polysub) ).
thf(163,axiom,
! [V: nat] :
( ( polyno567601229eadn_a @ ( polyno2024845497ound_a @ V ) )
= ( ^ [M2: nat] : ( polyno2024845497ound_a @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_headn_Osimps_I3_J) ).
thf(165,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( ^ [M2: nat] : ( polyno1623170614_Add_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_headn_Osimps_I4_J) ).
thf(166,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( ^ [M2: nat] : ( polyno1491482291_Mul_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_headn_Osimps_I6_J) ).
thf(169,axiom,
! [V: a] :
( ( polyno567601229eadn_a @ ( polyno439679028le_C_a @ V ) )
= ( ^ [M2: nat] : ( polyno439679028le_C_a @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_headn_Osimps_I2_J) ).
thf(171,axiom,
! [T: polyno727731844poly_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ T @ ( polyno1623170614_Add_a @ A @ B ) )
= ( polyno1623170614_Add_a @ ( polyno1397854436bst0_a @ T @ A ) @ ( polyno1397854436bst0_a @ T @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_polysubst0_Osimps_I4_J) ).
thf(172,axiom,
! [T: polyno727731844poly_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ T @ ( polyno1491482291_Mul_a @ A @ B ) )
= ( polyno1491482291_Mul_a @ ( polyno1397854436bst0_a @ T @ A ) @ ( polyno1397854436bst0_a @ T @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_polysubst0_Osimps_I6_J) ).
thf(175,axiom,
! [T: polyno727731844poly_a,C: a] :
( ( polyno1397854436bst0_a @ T @ ( polyno439679028le_C_a @ C ) )
= ( polyno439679028le_C_a @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_polysubst0_Osimps_I1_J) ).
thf(203,axiom,
! [A: a] :
( ( times_times_a @ A @ one_one_a )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_mult_Ocomm__neutral) ).
thf(205,axiom,
! [A: a] :
( ( times_times_a @ one_one_a @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_comm__monoid__mult__class_Omult__1) ).
thf(209,axiom,
! [C: a,A: a,B: a] :
( ( C != zero_zero_a )
=> ( ( ( times_times_a @ A @ C )
= ( times_times_a @ B @ C ) )
= ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_mult__right__cancel) ).
thf(211,axiom,
! [C: a,A: a,B: a] :
( ( C != zero_zero_a )
=> ( ( ( times_times_a @ C @ A )
= ( times_times_a @ C @ B ) )
= ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_mult__left__cancel) ).
thf(213,axiom,
! [A: a,B: a] :
( ( A != zero_zero_a )
=> ( ( B != zero_zero_a )
=> ( ( times_times_a @ A @ B )
!= zero_zero_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_no__zero__divisors) ).
thf(215,axiom,
! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
= zero_zero_a )
=> ( ( A = zero_zero_a )
| ( B = zero_zero_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_divisors__zero) ).
thf(217,axiom,
! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
!= zero_zero_a )
=> ( ( A != zero_zero_a )
& ( B != zero_zero_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_mult__not__zero) ).
thf(221,axiom,
! [B: a,A: a,C: a] :
( ( times_times_a @ B @ ( times_times_a @ A @ C ) )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_mult_Oleft__commute) ).
thf(223,axiom,
( times_times_a
= ( ^ [A2: a,B2: a] : ( times_times_a @ B2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_mult_Ocommute) ).
thf(225,axiom,
! [A: a,B: a,C: a] :
( ( times_times_a @ ( times_times_a @ A @ B ) @ C )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_mult_Oassoc) ).
thf(227,axiom,
! [A: a,B: a,C: a] :
( ( times_times_a @ ( times_times_a @ A @ B ) @ C )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_ab__semigroup__mult__class_Omult__ac_I1_J) ).
thf(231,axiom,
! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
= zero_zero_a )
= ( ( A = zero_zero_a )
| ( B = zero_zero_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_mult__eq__0__iff) ).
thf(233,axiom,
! [A: a] :
( ( times_times_a @ A @ zero_zero_a )
= zero_zero_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_mult__zero__right) ).
thf(235,axiom,
! [A: a] :
( ( times_times_a @ zero_zero_a @ A )
= zero_zero_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_mult__zero__left) ).
thf(237,axiom,
! [C: a,A: a,B: a] :
( ( ( times_times_a @ C @ A )
= ( times_times_a @ C @ B ) )
= ( ( C = zero_zero_a )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_mult__cancel__left) ).
thf(239,axiom,
! [A: a,C: a,B: a] :
( ( ( times_times_a @ A @ C )
= ( times_times_a @ B @ C ) )
= ( ( C = zero_zero_a )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_mult__cancel__right) ).
thf(241,axiom,
! [A: a] :
( ( times_times_a @ one_one_a @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_mult_Oleft__neutral) ).
thf(243,axiom,
! [A: a] :
( ( times_times_a @ A @ one_one_a )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_mult_Oright__neutral) ).
thf(250,axiom,
! [C: a,C2: polyno727731844poly_a,N2: nat,P3: polyno727731844poly_a] :
( ( ( C = zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C != zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ C2 ) @ N2 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ P3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_polymul_Osimps_I2_J) ).
thf(251,axiom,
! [Vc: nat,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ Vc ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ Vc ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_polymul_Osimps_I23_J) ).
thf(253,axiom,
! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno2024845497ound_a @ Vc ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno2024845497ound_a @ Vc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_polymul_Osimps_I11_J) ).
thf(255,axiom,
( polyno190918219poly_a
= ( ^ [P2: polyno727731844poly_a] : ( polyno1372495879olyh_a @ P2 @ zero_zero_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_isnpoly__def) ).
thf(257,axiom,
! [N: nat] : ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ N ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_zero__normh) ).
thf(259,axiom,
! [N: nat] : ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ one_one_a ) @ N ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_one__normh) ).
thf(262,axiom,
! [Y: a,X: a] :
( ( polyno562434098cmul_a @ Y @ ( polyno439679028le_C_a @ X ) )
= ( polyno439679028le_C_a @ ( times_times_a @ Y @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_poly__cmul_Osimps_I1_J) ).
thf(263,axiom,
! [V: nat,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ V ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ V ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_polymul_Osimps_I5_J) ).
thf(265,axiom,
! [A: polyno727731844poly_a,V: nat] :
( ( polyno1934269411ymul_a @ A @ ( polyno2024845497ound_a @ V ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno2024845497ound_a @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_polymul_Osimps_I17_J) ).
thf(268,axiom,
! [Y: a,C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno1057396216e_CN_a @ ( polyno562434098cmul_a @ Y @ C ) @ N @ ( polyno562434098cmul_a @ Y @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_poly__cmul_Osimps_I2_J) ).
thf(269,axiom,
! [V: nat] :
( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ V ) )
= ( ^ [K: nat] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_isnpolyh_Osimps_I3_J) ).
thf(272,axiom,
! [X2: nat,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_poly_Odistinct_I15_J) ).
thf(273,axiom,
! [X2: nat,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_poly_Odistinct_I19_J) ).
thf(276,axiom,
! [X1: a,X2: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno2024845497ound_a @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_poly_Odistinct_I1_J) ).
thf(278,axiom,
! [X2: nat,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_poly_Odistinct_I25_J) ).
thf(280,axiom,
! [Y: a,V: nat] :
( ( polyno562434098cmul_a @ Y @ ( polyno2024845497ound_a @ V ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno2024845497ound_a @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_poly__cmul_Osimps_I3_J) ).
thf(283,axiom,
! [X2: nat,Y2: nat] :
( ( ( polyno2024845497ound_a @ X2 )
= ( polyno2024845497ound_a @ Y2 ) )
= ( X2 = Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_poly_Oinject_I2_J) ).
thf(285,axiom,
! [C2: a,C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( ( C2 = zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C2 != zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ C @ ( polyno439679028le_C_a @ C2 ) ) @ N @ ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ C2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_polymul_Osimps_I3_J) ).
thf(286,axiom,
! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1491482291_Mul_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_poly__cmul_Osimps_I6_J) ).
thf(289,axiom,
! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1623170614_Add_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_poly__cmul_Osimps_I4_J) ).
thf(290,axiom,
! [P: polyno727731844poly_a,N0: nat,Q: polyno727731844poly_a,N1: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1372495879olyh_a @ Q @ N1 )
=> ( ( ( polyno1934269411ymul_a @ P @ Q )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( P
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( Q
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_polymul__eq0__iff) ).
thf(291,axiom,
! [C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno955999183nate_a @ ( polyno1623170614_Add_a @ C @ ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ N ) @ P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_polynate_Osimps_I7_J) ).
thf(292,axiom,
! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ one_one_a ) )
= P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_polymul__1_I1_J) ).
thf(293,axiom,
! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ P )
= P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_polymul__1_I2_J) ).
thf(294,axiom,
! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_polymul__0_I1_J) ).
thf(295,axiom,
! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ P )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_polymul__0_I2_J) ).
thf(296,axiom,
! [Bs2: list_a,C: a,P: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno562434098cmul_a @ C @ P ) )
= ( polyno422358502poly_a @ Bs2 @ ( polyno1491482291_Mul_a @ ( polyno439679028le_C_a @ C ) @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_poly__cmul) ).
thf(297,axiom,
! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ! [Bs3: list_a] :
( ( polyno896877631f_bs_a @ Bs3 @ P )
=> ( ( polyno422358502poly_a @ Bs3 @ P )
= zero_zero_a ) )
=> ( P
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_isnpolyh__zero__iff) ).
thf(298,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ V @ Va ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_polymul_Osimps_I6_J) ).
thf(300,axiom,
! [P: polyno727731844poly_a,N0: nat,Q: polyno727731844poly_a,N1: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1372495879olyh_a @ Q @ N1 )
=> ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ P )
= ( polyno422358502poly_a @ Bs @ Q ) ) )
= ( P = Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_isnpolyh__unique) ).
thf(301,axiom,
! [P: polyno727731844poly_a] : ( polyno190918219poly_a @ ( polyno955999183nate_a @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_polynate__norm) ).
thf(302,axiom,
! [C: a] :
( ( polyno955999183nate_a @ ( polyno439679028le_C_a @ C ) )
= ( polyno439679028le_C_a @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_polynate_Osimps_I8_J) ).
thf(303,axiom,
! [C: a] :
( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ C ) )
= ( ^ [K: nat] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_isnpolyh_Osimps_I1_J) ).
thf(305,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_isnpolyh_Osimps_I4_J) ).
thf(307,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_isnpolyh_Osimps_I6_J) ).
thf(309,axiom,
! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1623170614_Add_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1623170614_Add_a @ Vc @ Vd ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_polymul_Osimps_I12_J) ).
thf(311,axiom,
! [Vc: polyno727731844poly_a,Vd: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_polymul_Osimps_I24_J) ).
thf(314,axiom,
! [X1: a,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_poly_Odistinct_I3_J) ).
thf(315,axiom,
! [X1: a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_poly_Odistinct_I7_J) ).
thf(318,axiom,
! [X1: a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_poly_Odistinct_I13_J) ).
thf(319,axiom,
! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_poly_Odistinct_I29_J) ).
thf(322,axiom,
! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_poly_Odistinct_I35_J) ).
thf(323,axiom,
! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_poly_Odistinct_I49_J) ).
thf(325,axiom,
! [Bs2: list_a,C: a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno439679028le_C_a @ C ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_Ipoly_Osimps_I1_J) ).
thf(326,axiom,
! [Bs2: list_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1491482291_Mul_a @ A @ B ) )
= ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ A ) @ ( polyno422358502poly_a @ Bs2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_Ipoly_Osimps_I6_J) ).
thf(327,axiom,
! [Bs2: list_a,P: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno955999183nate_a @ P ) )
= ( polyno422358502poly_a @ Bs2 @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_polynate) ).
thf(329,axiom,
! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,Y31: polyno727731844poly_a,Y32: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ X31 @ X32 )
= ( polyno1623170614_Add_a @ Y31 @ Y32 ) )
= ( ( X31 = Y31 )
& ( X32 = Y32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_poly_Oinject_I3_J) ).
thf(330,axiom,
! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,Y51: polyno727731844poly_a,Y52: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ X51 @ X52 )
= ( polyno1491482291_Mul_a @ Y51 @ Y52 ) )
= ( ( X51 = Y51 )
& ( X52 = Y52 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_poly_Oinject_I5_J) ).
thf(333,axiom,
! [X1: a,Y1: a] :
( ( ( polyno439679028le_C_a @ X1 )
= ( polyno439679028le_C_a @ Y1 ) )
= ( X1 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_poly_Oinject_I1_J) ).
thf(335,axiom,
! [X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a,Y81: polyno727731844poly_a,Y82: nat,Y83: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 )
= ( polyno1057396216e_CN_a @ Y81 @ Y82 @ Y83 ) )
= ( ( X81 = Y81 )
& ( X82 = Y82 )
& ( X83 = Y83 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_poly_Oinject_I8_J) ).
thf(336,axiom,
! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ A @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1623170614_Add_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_polymul_Osimps_I18_J) ).
thf(338,axiom,
! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1491482291_Mul_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1491482291_Mul_a @ Vc @ Vd ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_polymul_Osimps_I14_J) ).
thf(340,axiom,
! [Vc: polyno727731844poly_a,Vd: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_polymul_Osimps_I26_J) ).
thf(342,axiom,
! [P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1491482291_Mul_a @ P @ Q ) )
= ( polyno1934269411ymul_a @ ( polyno955999183nate_a @ P ) @ ( polyno955999183nate_a @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_polynate_Osimps_I4_J) ).
thf(343,axiom,
! [C: a,C2: a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno439679028le_C_a @ ( times_times_a @ C @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_polymul_Osimps_I1_J) ).
thf(345,axiom,
! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) )
= ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ P ) @ ( polyno422358502poly_a @ Bs2 @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_polymul) ).
thf(346,axiom,
! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ V @ Va ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_polymul_Osimps_I8_J) ).
thf(348,axiom,
! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ A @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1491482291_Mul_a @ V @ Va ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_polymul_Osimps_I20_J) ).
thf(350,axiom,
! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno896877631f_bs_a @ Bs2 @ P )
=> ( ( polyno896877631f_bs_a @ Bs2 @ Q )
=> ( polyno896877631f_bs_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_wf__bs__polyul) ).
thf(352,axiom,
! [P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno190918219poly_a @ P )
=> ( ( polyno190918219poly_a @ Q )
=> ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_polymul__norm) ).
thf(353,axiom,
polyno1372495879olyh_a @ q @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_nq) ).
thf(354,axiom,
polyno1372495879olyh_a @ p @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_np) ).
thf(355,axiom,
( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_I_092_060forall_062bs_O_AIpoly_Abs_A_Ip_A_K_092_060_094sub_062p_Aq_J_A_061_AIpoly_Abs_A_Iq_A_K_092_060_094sub_062p_Ap_J_J_A_061_A_Ip_A_K_092_060_094sub_062p_Aq_A_061_Aq_A_K_092_060_094sub_062p_Ap_J_092_060close_062) ).
thf(356,conjecture,
( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(357,negated_conjecture,
( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ),
inference(negate_conjecture,[status(cth)],[356]) ).
thf(358,plain,
( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ),
inference(unfold_def,[status(thm)],[357]) ).
thf(359,plain,
( ( ! [P: polyno727731844poly_a,N: nat,K2: nat] :
( ( polyno1372495879olyh_a @ P @ N )
=> ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ K2 @ P ) @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(360,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno975704247_Sub_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno975704247_Sub_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(361,plain,
( ( ! [W: a,Y: a,X: a,Z: a] :
( ( ( plus_plus_a @ ( times_times_a @ W @ Y ) @ ( times_times_a @ X @ Z ) )
= ( plus_plus_a @ ( times_times_a @ W @ Z ) @ ( times_times_a @ X @ Y ) ) )
= ( ( W = X )
| ( Y = Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(362,plain,
( ( ! [A: a,B: a,C: a,D: a] :
( ( ( A != B )
& ( C != D ) )
= ( ( ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ D ) )
!= ( plus_plus_a @ ( times_times_a @ A @ D ) @ ( times_times_a @ B @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(363,plain,
( ( ! [P: polyno727731844poly_a,N: nat] :
( ( polyno1372495879olyh_a @ P @ N )
=> ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ P ) @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(364,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: nat] :
( ( polyno562434098cmul_a @ Y @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1538138524e_Pw_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(365,plain,
( ( ! [Vc: polyno727731844poly_a,Vd: nat,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(366,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(367,plain,
( ( ! [Bs2: list_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1623170614_Add_a @ A @ B ) )
= ( plus_plus_a @ ( polyno422358502poly_a @ Bs2 @ A ) @ ( polyno422358502poly_a @ Bs2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(368,plain,
( ( ! [X1: a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(369,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(370,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(371,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ A @ ( plus_plus_a @ B @ C ) )
= ( plus_plus_a @ ( times_times_a @ A @ B ) @ ( times_times_a @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(372,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(373,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ A @ ( plus_plus_a @ B @ C ) )
= ( plus_plus_a @ ( times_times_a @ A @ B ) @ ( times_times_a @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(374,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(375,plain,
( ( ! [A: a,E: a,B: a,C: a] :
( ( plus_plus_a @ ( times_times_a @ A @ E ) @ ( plus_plus_a @ ( times_times_a @ B @ E ) @ C ) )
= ( plus_plus_a @ ( times_times_a @ ( plus_plus_a @ A @ B ) @ E ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(376,plain,
( ( ! [V: polyno727731844poly_a,Va: nat] :
( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(377,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ P ) @ N0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(378,plain,
( ( ! [V: nat] :
( ( polyno1884029055head_a @ ( polyno2024845497ound_a @ V ) )
= ( polyno2024845497ound_a @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(379,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1623170614_Add_a @ V @ Va ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(380,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ V @ Va ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(381,plain,
( ( ! [V: a] :
( ( polyno1884029055head_a @ ( polyno439679028le_C_a @ V ) )
= ( polyno439679028le_C_a @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(382,plain,
( ( ! [N: nat,F: polyno727731844poly_a > polyno727731844poly_a,P: polyno727731844poly_a,K2: nat] :
( ! [P4: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ P4 @ N )
=> ( polyno1372495879olyh_a @ ( F @ P4 ) @ N ) )
=> ( ( polyno1372495879olyh_a @ P @ N )
=> ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ K2 @ F @ P ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(383,plain,
( ( ! [N: a] :
( ( polyno2115742616onst_a @ ( polyno439679028le_C_a @ N ) )
= N ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(384,plain,
( ( ! [C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno2115742616onst_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno2115742616onst_a @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(385,plain,
( ( ! [P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno190918219poly_a @ P )
=> ( ( polyno190918219poly_a @ Q )
=> ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(386,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno896877631f_bs_a @ Bs2 @ P )
=> ( ( polyno896877631f_bs_a @ Bs2 @ Q )
=> ( polyno896877631f_bs_a @ Bs2 @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(387,plain,
( ( ! [V: nat] :
( ( polyno567601229eadn_a @ ( polyno2024845497ound_a @ V ) )
= ( ^ [M2: nat] : ( polyno2024845497ound_a @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(388,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( ^ [M2: nat] : ( polyno1623170614_Add_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(389,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( ^ [M2: nat] : ( polyno1491482291_Mul_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(390,plain,
( ( ! [V: a] :
( ( polyno567601229eadn_a @ ( polyno439679028le_C_a @ V ) )
= ( ^ [M2: nat] : ( polyno439679028le_C_a @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(391,plain,
( ( ! [T: polyno727731844poly_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ T @ ( polyno1623170614_Add_a @ A @ B ) )
= ( polyno1623170614_Add_a @ ( polyno1397854436bst0_a @ T @ A ) @ ( polyno1397854436bst0_a @ T @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(392,plain,
( ( ! [T: polyno727731844poly_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ T @ ( polyno1491482291_Mul_a @ A @ B ) )
= ( polyno1491482291_Mul_a @ ( polyno1397854436bst0_a @ T @ A ) @ ( polyno1397854436bst0_a @ T @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(393,plain,
( ( ! [T: polyno727731844poly_a,C: a] :
( ( polyno1397854436bst0_a @ T @ ( polyno439679028le_C_a @ C ) )
= ( polyno439679028le_C_a @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(394,plain,
( ( ! [A: a] :
( ( times_times_a @ A @ one_one_a )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(395,plain,
( ( ! [A: a] :
( ( times_times_a @ one_one_a @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(396,plain,
( ( ! [C: a,A: a,B: a] :
( ( C != zero_zero_a )
=> ( ( ( times_times_a @ A @ C )
= ( times_times_a @ B @ C ) )
= ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(397,plain,
( ( ! [C: a,A: a,B: a] :
( ( C != zero_zero_a )
=> ( ( ( times_times_a @ C @ A )
= ( times_times_a @ C @ B ) )
= ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(398,plain,
( ( ! [A: a,B: a] :
( ( A != zero_zero_a )
=> ( ( B != zero_zero_a )
=> ( ( times_times_a @ A @ B )
!= zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(399,plain,
( ( ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
= zero_zero_a )
=> ( ( A = zero_zero_a )
| ( B = zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(400,plain,
( ( ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
!= zero_zero_a )
=> ( ( A != zero_zero_a )
& ( B != zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(401,plain,
( ( ! [B: a,A: a,C: a] :
( ( times_times_a @ B @ ( times_times_a @ A @ C ) )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(402,plain,
( ( times_times_a
= ( ^ [A2: a,B2: a] : ( times_times_a @ B2 @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(403,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( times_times_a @ A @ B ) @ C )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(404,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( times_times_a @ A @ B ) @ C )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(405,plain,
( ( ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
= zero_zero_a )
= ( ( A = zero_zero_a )
| ( B = zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(406,plain,
( ( ! [A: a] :
( ( times_times_a @ A @ zero_zero_a )
= zero_zero_a ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(407,plain,
( ( ! [A: a] :
( ( times_times_a @ zero_zero_a @ A )
= zero_zero_a ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(408,plain,
( ( ! [C: a,A: a,B: a] :
( ( ( times_times_a @ C @ A )
= ( times_times_a @ C @ B ) )
= ( ( C = zero_zero_a )
| ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(409,plain,
( ( ! [A: a,C: a,B: a] :
( ( ( times_times_a @ A @ C )
= ( times_times_a @ B @ C ) )
= ( ( C = zero_zero_a )
| ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(410,plain,
( ( ! [A: a] :
( ( times_times_a @ one_one_a @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(411,plain,
( ( ! [A: a] :
( ( times_times_a @ A @ one_one_a )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(412,plain,
( ( ! [C: a,C2: polyno727731844poly_a,N2: nat,P3: polyno727731844poly_a] :
( ( ( C = zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C != zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ C2 ) @ N2 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ P3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(413,plain,
( ( ! [Vc: nat,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ Vc ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ Vc ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(414,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno2024845497ound_a @ Vc ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno2024845497ound_a @ Vc ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(415,plain,
( ( polyno190918219poly_a
= ( ^ [P2: polyno727731844poly_a] : ( polyno1372495879olyh_a @ P2 @ zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(416,plain,
( ( ! [N: nat] : ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ N ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(417,plain,
( ( ! [N: nat] : ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ one_one_a ) @ N ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(418,plain,
( ( ! [Y: a,X: a] :
( ( polyno562434098cmul_a @ Y @ ( polyno439679028le_C_a @ X ) )
= ( polyno439679028le_C_a @ ( times_times_a @ Y @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(419,plain,
( ( ! [Y: a,C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno1057396216e_CN_a @ ( polyno562434098cmul_a @ Y @ C ) @ N @ ( polyno562434098cmul_a @ Y @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(420,plain,
( ( ! [V: nat] :
( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ V ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(421,plain,
( ( ! [X2: nat,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(422,plain,
( ( ! [X2: nat,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(423,plain,
( ( ! [X1: a,X2: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno2024845497ound_a @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(424,plain,
( ( ! [X2: nat,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(425,plain,
( ( ! [Y: a,V: nat] :
( ( polyno562434098cmul_a @ Y @ ( polyno2024845497ound_a @ V ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno2024845497ound_a @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(426,plain,
( ( ! [X2: nat,Y2: nat] :
( ( ( polyno2024845497ound_a @ X2 )
= ( polyno2024845497ound_a @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(427,plain,
( ( ! [C2: a,C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( ( C2 = zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C2 != zero_zero_a )
=> ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ C @ ( polyno439679028le_C_a @ C2 ) ) @ N @ ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ C2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(428,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1491482291_Mul_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(429,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1623170614_Add_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(430,plain,
( ( ! [P: polyno727731844poly_a,N0: nat,Q: polyno727731844poly_a,N1: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1372495879olyh_a @ Q @ N1 )
=> ( ( ( polyno1934269411ymul_a @ P @ Q )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( P
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( Q
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(431,plain,
( ( ! [C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno955999183nate_a @ ( polyno1623170614_Add_a @ C @ ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ N ) @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(432,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ one_one_a ) )
= P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(433,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ P )
= P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(434,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(435,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ P )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(436,plain,
( ( ! [Bs2: list_a,C: a,P: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno562434098cmul_a @ C @ P ) )
= ( polyno422358502poly_a @ Bs2 @ ( polyno1491482291_Mul_a @ ( polyno439679028le_C_a @ C ) @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(437,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ! [Bs3: list_a] :
( ( polyno896877631f_bs_a @ Bs3 @ P )
=> ( ( polyno422358502poly_a @ Bs3 @ P )
= zero_zero_a ) )
=> ( P
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(438,plain,
( ( ! [P: polyno727731844poly_a,N0: nat,Q: polyno727731844poly_a,N1: nat] :
( ( polyno1372495879olyh_a @ P @ N0 )
=> ( ( polyno1372495879olyh_a @ Q @ N1 )
=> ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ P )
= ( polyno422358502poly_a @ Bs @ Q ) ) )
= ( P = Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(439,plain,
( ( ! [P: polyno727731844poly_a] : ( polyno190918219poly_a @ ( polyno955999183nate_a @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(440,plain,
( ( ! [C: a] :
( ( polyno955999183nate_a @ ( polyno439679028le_C_a @ C ) )
= ( polyno439679028le_C_a @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(441,plain,
( ( ! [C: a] :
( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ C ) )
= ( ^ [K: nat] : $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(442,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(443,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(444,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1623170614_Add_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1623170614_Add_a @ Vc @ Vd ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(445,plain,
( ( ! [Vc: polyno727731844poly_a,Vd: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(446,plain,
( ( ! [X1: a,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(447,plain,
( ( ! [X1: a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(448,plain,
( ( ! [X1: a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(449,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(450,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(451,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(452,plain,
( ( ! [Bs2: list_a,C: a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno439679028le_C_a @ C ) )
= C ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(453,plain,
( ( ! [Bs2: list_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1491482291_Mul_a @ A @ B ) )
= ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ A ) @ ( polyno422358502poly_a @ Bs2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(454,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno955999183nate_a @ P ) )
= ( polyno422358502poly_a @ Bs2 @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(455,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,Y31: polyno727731844poly_a,Y32: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ X31 @ X32 )
= ( polyno1623170614_Add_a @ Y31 @ Y32 ) )
= ( ( X31 = Y31 )
& ( X32 = Y32 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(456,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,Y51: polyno727731844poly_a,Y52: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ X51 @ X52 )
= ( polyno1491482291_Mul_a @ Y51 @ Y52 ) )
= ( ( X51 = Y51 )
& ( X52 = Y52 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(457,plain,
( ( ! [X1: a,Y1: a] :
( ( ( polyno439679028le_C_a @ X1 )
= ( polyno439679028le_C_a @ Y1 ) )
= ( X1 = Y1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(458,plain,
( ( ! [X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a,Y81: polyno727731844poly_a,Y82: nat,Y83: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 )
= ( polyno1057396216e_CN_a @ Y81 @ Y82 @ Y83 ) )
= ( ( X81 = Y81 )
& ( X82 = Y82 )
& ( X83 = Y83 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(459,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno975704247_Sub_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno975704247_Sub_a @ V @ Va ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(460,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ V @ Va ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(461,plain,
( ( ! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat] :
( ( polyno1934269411ymul_a @ A @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1538138524e_Pw_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(462,plain,
( ( ! [V: nat,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ V ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ V ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(463,plain,
( ( ! [A: polyno727731844poly_a,V: nat] :
( ( polyno1934269411ymul_a @ A @ ( polyno2024845497ound_a @ V ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno2024845497ound_a @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(464,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ V @ Va ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(465,plain,
( ( ! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ A @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1623170614_Add_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(466,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1491482291_Mul_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1491482291_Mul_a @ Vc @ Vd ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(467,plain,
( ( ! [Vc: polyno727731844poly_a,Vd: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(468,plain,
( ( ! [P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1491482291_Mul_a @ P @ Q ) )
= ( polyno1934269411ymul_a @ ( polyno955999183nate_a @ P ) @ ( polyno955999183nate_a @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(469,plain,
( ( ! [C: a,C2: a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno439679028le_C_a @ ( times_times_a @ C @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(470,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) )
= ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ P ) @ ( polyno422358502poly_a @ Bs2 @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(471,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ V @ Va ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(472,plain,
( ( ! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ A @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1491482291_Mul_a @ V @ Va ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(473,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno896877631f_bs_a @ Bs2 @ P )
=> ( ( polyno896877631f_bs_a @ Bs2 @ Q )
=> ( polyno896877631f_bs_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(474,plain,
( ( ! [P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno190918219poly_a @ P )
=> ( ( polyno190918219poly_a @ Q )
=> ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(475,plain,
( ( polyno1372495879olyh_a @ q @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(476,plain,
( ( polyno1372495879olyh_a @ p @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(477,plain,
( ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(478,plain,
( ( ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[358]) ).
thf(479,plain,
( ( ! [P: polyno727731844poly_a,N: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N )
| ! [K2: nat] : ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ K2 @ P ) @ N ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[359]) ).
thf(480,plain,
( ( ! [A: a,B: a,C: a,D: a] :
( ( ( A != B )
& ( C != D ) )
= ( ( ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ D ) )
!= ( plus_plus_a @ ( times_times_a @ A @ D ) @ ( times_times_a @ B @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[362]) ).
thf(481,plain,
( ( ! [P: polyno727731844poly_a,N: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N )
| ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ P ) @ N ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[363]) ).
thf(482,plain,
( ( ! [X1: a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[368]) ).
thf(483,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[369]) ).
thf(484,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N0 )
| ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ P ) @ N0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[377]) ).
thf(485,plain,
( ( ! [N: nat,F: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( sK1_P4 @ F @ N ) @ N )
& ~ ( polyno1372495879olyh_a @ ( F @ ( sK1_P4 @ F @ N ) ) @ N ) )
| ! [P: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ P @ N )
| ! [K2: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ K2 @ F @ P ) @ N ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[382]) ).
thf(486,plain,
( ( ! [P: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ Q )
| ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[385]) ).
thf(487,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ Q )
| ( polyno896877631f_bs_a @ Bs2 @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[386]) ).
thf(488,plain,
( ( ! [C: a] :
( ( C = zero_zero_a )
| ! [A: a,B: a] :
( ( ( times_times_a @ A @ C )
= ( times_times_a @ B @ C ) )
= ( A = B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[396]) ).
thf(489,plain,
( ( ! [C: a] :
( ( C = zero_zero_a )
| ! [A: a,B: a] :
( ( ( times_times_a @ C @ A )
= ( times_times_a @ C @ B ) )
= ( A = B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[397]) ).
thf(490,plain,
( ( ! [A: a] :
( ( A = zero_zero_a )
| ! [B: a] :
( ( B = zero_zero_a )
| ( ( times_times_a @ A @ B )
!= zero_zero_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[398]) ).
thf(491,plain,
( ( ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
!= zero_zero_a )
| ( A = zero_zero_a )
| ( B = zero_zero_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[399]) ).
thf(492,plain,
( ( ! [A: a] :
( ! [B: a] :
( ( times_times_a @ A @ B )
= zero_zero_a )
| ( A != zero_zero_a ) )
& ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
= zero_zero_a )
| ( B != zero_zero_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[400]) ).
thf(493,plain,
( ( ! [C: a,C2: polyno727731844poly_a] :
( ( ( C != zero_zero_a )
| ! [N2: nat,P3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C = zero_zero_a )
| ! [N2: nat,P3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ C2 ) @ N2 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ P3 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[412]) ).
thf(494,plain,
( ( ! [X2: nat,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[421]) ).
thf(495,plain,
( ( ! [X2: nat,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[422]) ).
thf(496,plain,
( ( ! [X1: a,X2: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno2024845497ound_a @ X2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[423]) ).
thf(497,plain,
( ( ! [X2: nat,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[424]) ).
thf(498,plain,
( ( ! [C2: a,C: polyno727731844poly_a] :
( ( ( C2 != zero_zero_a )
| ! [N: nat,P: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C2 = zero_zero_a )
| ! [N: nat,P: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ C @ ( polyno439679028le_C_a @ C2 ) ) @ N @ ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ C2 ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[427]) ).
thf(499,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N0 )
| ! [Q: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ Q @ N1 )
| ( ( ( polyno1934269411ymul_a @ P @ Q )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( P
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( Q
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[430]) ).
thf(500,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ one_one_a ) )
= P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[432]) ).
thf(501,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ P )
= P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[433]) ).
thf(502,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[434]) ).
thf(503,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ P )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[435]) ).
thf(504,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno896877631f_bs_a @ ( sK2_Bs3 @ P ) @ P )
& ( ( polyno422358502poly_a @ ( sK2_Bs3 @ P ) @ P )
!= zero_zero_a ) )
| ( P
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[437]) ).
thf(505,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N0 )
| ! [Q: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ Q @ N1 )
| ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ P )
= ( polyno422358502poly_a @ Bs @ Q ) ) )
= ( P = Q ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[438]) ).
thf(506,plain,
( ( ! [X1: a,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[446]) ).
thf(507,plain,
( ( ! [X1: a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[447]) ).
thf(508,plain,
( ( ! [X1: a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[448]) ).
thf(509,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[449]) ).
thf(510,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[450]) ).
thf(511,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[451]) ).
thf(512,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ Q )
| ( polyno896877631f_bs_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[473]) ).
thf(513,plain,
( ( ! [P: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ Q )
| ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[474]) ).
thf(514,plain,
( ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(515,plain,
( ( polyno1372495879olyh_a @ p @ n0 )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(516,plain,
( ( polyno1372495879olyh_a @ q @ n1 )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(517,plain,
( ( ! [P: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ Q )
| ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[513]) ).
thf(518,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ Q )
| ( polyno896877631f_bs_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[512]) ).
thf(519,plain,
( ( ! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ A @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1491482291_Mul_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(520,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ V @ Va ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(521,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) )
= ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ P ) @ ( polyno422358502poly_a @ Bs2 @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(522,plain,
( ( ! [C: a,C2: a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno439679028le_C_a @ ( times_times_a @ C @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(523,plain,
( ( ! [P: polyno727731844poly_a,Q: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1491482291_Mul_a @ P @ Q ) )
= ( polyno1934269411ymul_a @ ( polyno955999183nate_a @ P ) @ ( polyno955999183nate_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(524,plain,
( ( ! [Vc: polyno727731844poly_a,Vd: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(525,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1491482291_Mul_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1491482291_Mul_a @ Vc @ Vd ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(526,plain,
( ( ! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ A @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1623170614_Add_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(527,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ V @ Va ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(528,plain,
( ( ! [A: polyno727731844poly_a,V: nat] :
( ( polyno1934269411ymul_a @ A @ ( polyno2024845497ound_a @ V ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno2024845497ound_a @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(529,plain,
( ( ! [V: nat,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ V ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ V ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(530,plain,
( ( ! [A: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat] :
( ( polyno1934269411ymul_a @ A @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ A @ ( polyno1538138524e_Pw_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(531,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ V @ Va ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(532,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno975704247_Sub_a @ V @ Va ) @ B )
= ( polyno1491482291_Mul_a @ ( polyno975704247_Sub_a @ V @ Va ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(533,plain,
( ( ! [X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a,Y81: polyno727731844poly_a,Y82: nat,Y83: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 )
= ( polyno1057396216e_CN_a @ Y81 @ Y82 @ Y83 ) )
= ( ( X81 = Y81 )
& ( X82 = Y82 )
& ( X83 = Y83 ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(534,plain,
( ( ! [X1: a,Y1: a] :
( ( ( polyno439679028le_C_a @ X1 )
= ( polyno439679028le_C_a @ Y1 ) )
= ( X1 = Y1 ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(535,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,Y51: polyno727731844poly_a,Y52: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ X51 @ X52 )
= ( polyno1491482291_Mul_a @ Y51 @ Y52 ) )
= ( ( X51 = Y51 )
& ( X52 = Y52 ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(536,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,Y31: polyno727731844poly_a,Y32: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ X31 @ X32 )
= ( polyno1623170614_Add_a @ Y31 @ Y32 ) )
= ( ( X31 = Y31 )
& ( X32 = Y32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(537,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno955999183nate_a @ P ) )
= ( polyno422358502poly_a @ Bs2 @ P ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(538,plain,
( ( ! [Bs2: list_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1491482291_Mul_a @ A @ B ) )
= ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ A ) @ ( polyno422358502poly_a @ Bs2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(539,plain,
( ( ! [Bs2: list_a,C: a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno439679028le_C_a @ C ) )
= C ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(540,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(541,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(542,plain,
( ( ! [X31: polyno727731844poly_a,X32: polyno727731844poly_a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ X31 @ X32 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(543,plain,
( ( ! [X1: a,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(544,plain,
( ( ! [X1: a,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(545,plain,
( ( ! [X1: a,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(546,plain,
( ( ! [Vc: polyno727731844poly_a,Vd: polyno727731844poly_a,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(547,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1623170614_Add_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1623170614_Add_a @ Vc @ Vd ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(548,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(549,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(550,plain,
( ( ! [C: a] :
( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ C ) )
= ( ^ [K: nat] : $true ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(551,plain,
( ( ! [C: a] :
( ( polyno955999183nate_a @ ( polyno439679028le_C_a @ C ) )
= ( polyno439679028le_C_a @ C ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(552,plain,
( ( ! [P: polyno727731844poly_a] : ( polyno190918219poly_a @ ( polyno955999183nate_a @ P ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(553,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N0 )
| ! [Q: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ Q @ N1 )
| ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ P )
= ( polyno422358502poly_a @ Bs @ Q ) ) )
= ( P = Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(554,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno896877631f_bs_a @ ( sK2_Bs3 @ P ) @ P )
& ( ( polyno422358502poly_a @ ( sK2_Bs3 @ P ) @ P )
!= zero_zero_a ) )
| ( P
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(555,plain,
( ( ! [Bs2: list_a,C: a,P: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno562434098cmul_a @ C @ P ) )
= ( polyno422358502poly_a @ Bs2 @ ( polyno1491482291_Mul_a @ ( polyno439679028le_C_a @ C ) @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(556,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ P )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(557,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(558,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ P )
= P ) ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(559,plain,
( ( ! [P: polyno727731844poly_a] :
( ! [N0: nat] :
~ ( polyno1372495879olyh_a @ P @ N0 )
| ( ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ one_one_a ) )
= P ) ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(560,plain,
( ( ! [C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno955999183nate_a @ ( polyno1623170614_Add_a @ C @ ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ N ) @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(561,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N0 )
| ! [Q: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ Q @ N1 )
| ( ( ( polyno1934269411ymul_a @ P @ Q )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( P
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( Q
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(562,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1623170614_Add_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(563,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1491482291_Mul_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(564,plain,
( ( ! [C2: a,C: polyno727731844poly_a] :
( ( ( C2 != zero_zero_a )
| ! [N: nat,P: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C2 = zero_zero_a )
| ! [N: nat,P: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) @ ( polyno439679028le_C_a @ C2 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ C @ ( polyno439679028le_C_a @ C2 ) ) @ N @ ( polyno1934269411ymul_a @ P @ ( polyno439679028le_C_a @ C2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(565,plain,
( ( ! [X2: nat,Y2: nat] :
( ( ( polyno2024845497ound_a @ X2 )
= ( polyno2024845497ound_a @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(566,plain,
( ( ! [Y: a,V: nat] :
( ( polyno562434098cmul_a @ Y @ ( polyno2024845497ound_a @ V ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno2024845497ound_a @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(567,plain,
( ( ! [X2: nat,X81: polyno727731844poly_a,X82: nat,X83: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1057396216e_CN_a @ X81 @ X82 @ X83 ) ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(568,plain,
( ( ! [X1: a,X2: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno2024845497ound_a @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(569,plain,
( ( ! [X2: nat,X51: polyno727731844poly_a,X52: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1491482291_Mul_a @ X51 @ X52 ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(570,plain,
( ( ! [X2: nat,X31: polyno727731844poly_a,X32: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ X2 )
!= ( polyno1623170614_Add_a @ X31 @ X32 ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(571,plain,
( ( ! [V: nat] :
( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ V ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(572,plain,
( ( ! [Y: a,C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno1057396216e_CN_a @ ( polyno562434098cmul_a @ Y @ C ) @ N @ ( polyno562434098cmul_a @ Y @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(573,plain,
( ( ! [Y: a,X: a] :
( ( polyno562434098cmul_a @ Y @ ( polyno439679028le_C_a @ X ) )
= ( polyno439679028le_C_a @ ( times_times_a @ Y @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(574,plain,
( ( ! [N: nat] : ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ one_one_a ) @ N ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(575,plain,
( ( ! [N: nat] : ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ N ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(576,plain,
( ( polyno190918219poly_a
= ( ^ [P2: polyno727731844poly_a] : ( polyno1372495879olyh_a @ P2 @ zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(577,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno2024845497ound_a @ Vc ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno2024845497ound_a @ Vc ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(578,plain,
( ( ! [Vc: nat,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ Vc ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ Vc ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(579,plain,
( ( ! [C: a,C2: polyno727731844poly_a] :
( ( ( C != zero_zero_a )
| ! [N2: nat,P3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
& ( ( C = zero_zero_a )
| ! [N2: nat,P3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ ( polyno1057396216e_CN_a @ C2 @ N2 @ P3 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ C2 ) @ N2 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ C ) @ P3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(580,plain,
( ( ! [A: a] :
( ( times_times_a @ A @ one_one_a )
= A ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(581,plain,
( ( ! [A: a] :
( ( times_times_a @ one_one_a @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(582,plain,
( ( ! [A: a,C: a,B: a] :
( ( ( times_times_a @ A @ C )
= ( times_times_a @ B @ C ) )
= ( ( C = zero_zero_a )
| ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(583,plain,
( ( ! [C: a,A: a,B: a] :
( ( ( times_times_a @ C @ A )
= ( times_times_a @ C @ B ) )
= ( ( C = zero_zero_a )
| ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(584,plain,
( ( ! [A: a] :
( ( times_times_a @ zero_zero_a @ A )
= zero_zero_a ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(585,plain,
( ( ! [A: a] :
( ( times_times_a @ A @ zero_zero_a )
= zero_zero_a ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(586,plain,
( ( ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
= zero_zero_a )
= ( ( A = zero_zero_a )
| ( B = zero_zero_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(587,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( times_times_a @ A @ B ) @ C )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(588,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( times_times_a @ A @ B ) @ C )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(589,plain,
( ( times_times_a
= ( ^ [A2: a,B2: a] : ( times_times_a @ B2 @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(590,plain,
( ( ! [B: a,A: a,C: a] :
( ( times_times_a @ B @ ( times_times_a @ A @ C ) )
= ( times_times_a @ A @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(591,plain,
( ( ! [A: a] :
( ! [B: a] :
( ( times_times_a @ A @ B )
= zero_zero_a )
| ( A != zero_zero_a ) )
& ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
= zero_zero_a )
| ( B != zero_zero_a ) ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(592,plain,
( ( ! [A: a,B: a] :
( ( ( times_times_a @ A @ B )
!= zero_zero_a )
| ( A = zero_zero_a )
| ( B = zero_zero_a ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(593,plain,
( ( ! [A: a] :
( ( A = zero_zero_a )
| ! [B: a] :
( ( B = zero_zero_a )
| ( ( times_times_a @ A @ B )
!= zero_zero_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(594,plain,
( ( ! [C: a] :
( ( C = zero_zero_a )
| ! [A: a,B: a] :
( ( ( times_times_a @ C @ A )
= ( times_times_a @ C @ B ) )
= ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(595,plain,
( ( ! [C: a] :
( ( C = zero_zero_a )
| ! [A: a,B: a] :
( ( ( times_times_a @ A @ C )
= ( times_times_a @ B @ C ) )
= ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(596,plain,
( ( ! [A: a] :
( ( times_times_a @ one_one_a @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(597,plain,
( ( ! [A: a] :
( ( times_times_a @ A @ one_one_a )
= A ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(598,plain,
( ( ! [T: polyno727731844poly_a,C: a] :
( ( polyno1397854436bst0_a @ T @ ( polyno439679028le_C_a @ C ) )
= ( polyno439679028le_C_a @ C ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(599,plain,
( ( ! [T: polyno727731844poly_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ T @ ( polyno1491482291_Mul_a @ A @ B ) )
= ( polyno1491482291_Mul_a @ ( polyno1397854436bst0_a @ T @ A ) @ ( polyno1397854436bst0_a @ T @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(600,plain,
( ( ! [T: polyno727731844poly_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ T @ ( polyno1623170614_Add_a @ A @ B ) )
= ( polyno1623170614_Add_a @ ( polyno1397854436bst0_a @ T @ A ) @ ( polyno1397854436bst0_a @ T @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(601,plain,
( ( ! [V: a] :
( ( polyno567601229eadn_a @ ( polyno439679028le_C_a @ V ) )
= ( ^ [M2: nat] : ( polyno439679028le_C_a @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(602,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( ^ [M2: nat] : ( polyno1491482291_Mul_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(603,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( ^ [M2: nat] : ( polyno1623170614_Add_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(604,plain,
( ( ! [V: nat] :
( ( polyno567601229eadn_a @ ( polyno2024845497ound_a @ V ) )
= ( ^ [M2: nat] : ( polyno2024845497ound_a @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(605,plain,
( ( ! [Bs2: list_a,P: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ Bs2 @ Q )
| ( polyno896877631f_bs_a @ Bs2 @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(606,plain,
( ( ! [P: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ P )
| ! [Q: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ Q )
| ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ P @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(607,plain,
( ( ! [C: polyno727731844poly_a,N: nat,P: polyno727731844poly_a] :
( ( polyno2115742616onst_a @ ( polyno1057396216e_CN_a @ C @ N @ P ) )
= ( polyno2115742616onst_a @ P ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(608,plain,
( ( ! [N: a] :
( ( polyno2115742616onst_a @ ( polyno439679028le_C_a @ N ) )
= N ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(609,plain,
( ( ! [N: nat,F: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( sK1_P4 @ F @ N ) @ N )
& ~ ( polyno1372495879olyh_a @ ( F @ ( sK1_P4 @ F @ N ) ) @ N ) )
| ! [P: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ P @ N )
| ! [K2: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ K2 @ F @ P ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(610,plain,
( ( ! [V: a] :
( ( polyno1884029055head_a @ ( polyno439679028le_C_a @ V ) )
= ( polyno439679028le_C_a @ V ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(611,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1491482291_Mul_a @ V @ Va ) )
= ( polyno1491482291_Mul_a @ V @ Va ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(612,plain,
( ( ! [V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1623170614_Add_a @ V @ Va ) )
= ( polyno1623170614_Add_a @ V @ Va ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(613,plain,
( ( ! [V: nat] :
( ( polyno1884029055head_a @ ( polyno2024845497ound_a @ V ) )
= ( polyno2024845497ound_a @ V ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(614,plain,
( ( ! [P: polyno727731844poly_a,N0: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N0 )
| ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ P ) @ N0 ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(615,plain,
( ( ! [V: polyno727731844poly_a,Va: nat] :
( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(616,plain,
( ( ! [A: a,E: a,B: a,C: a] :
( ( plus_plus_a @ ( times_times_a @ A @ E ) @ ( plus_plus_a @ ( times_times_a @ B @ E ) @ C ) )
= ( plus_plus_a @ ( times_times_a @ ( plus_plus_a @ A @ B ) @ E ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(617,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(618,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ A @ ( plus_plus_a @ B @ C ) )
= ( plus_plus_a @ ( times_times_a @ A @ B ) @ ( times_times_a @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(619,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(620,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ A @ ( plus_plus_a @ B @ C ) )
= ( plus_plus_a @ ( times_times_a @ A @ B ) @ ( times_times_a @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(621,plain,
( ( ! [A: a,B: a,C: a] :
( ( times_times_a @ ( plus_plus_a @ A @ B ) @ C )
= ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(622,plain,
( ( ! [X51: polyno727731844poly_a,X52: polyno727731844poly_a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno1491482291_Mul_a @ X51 @ X52 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(623,plain,
( ( ! [X1: a,X71: polyno727731844poly_a,X72: nat] :
( ( polyno439679028le_C_a @ X1 )
!= ( polyno1538138524e_Pw_a @ X71 @ X72 ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(624,plain,
( ( ! [Bs2: list_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
( ( polyno422358502poly_a @ Bs2 @ ( polyno1623170614_Add_a @ A @ B ) )
= ( plus_plus_a @ ( polyno422358502poly_a @ Bs2 @ A ) @ ( polyno422358502poly_a @ Bs2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(625,plain,
( ( ! [V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a,Vc: polyno727731844poly_a,Vd: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(626,plain,
( ( ! [Vc: polyno727731844poly_a,Vd: nat,V: polyno727731844poly_a,Va: nat,Vb: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ Vc @ Vd ) @ ( polyno1057396216e_CN_a @ V @ Va @ Vb ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(627,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: nat] :
( ( polyno562434098cmul_a @ Y @ ( polyno1538138524e_Pw_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno1538138524e_Pw_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(628,plain,
( ( ! [P: polyno727731844poly_a,N: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N )
| ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ P ) @ N ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(629,plain,
( ( ! [A: a,B: a,C: a,D: a] :
( ( ( A != B )
& ( C != D ) )
= ( ( ( plus_plus_a @ ( times_times_a @ A @ C ) @ ( times_times_a @ B @ D ) )
!= ( plus_plus_a @ ( times_times_a @ A @ D ) @ ( times_times_a @ B @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(630,plain,
( ( ! [W: a,Y: a,X: a,Z: a] :
( ( ( plus_plus_a @ ( times_times_a @ W @ Y ) @ ( times_times_a @ X @ Z ) )
= ( plus_plus_a @ ( times_times_a @ W @ Z ) @ ( times_times_a @ X @ Y ) ) )
= ( ( W = X )
| ( Y = Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(631,plain,
( ( ! [Y: a,V: polyno727731844poly_a,Va: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ Y @ ( polyno975704247_Sub_a @ V @ Va ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ Y ) @ ( polyno975704247_Sub_a @ V @ Va ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(632,plain,
( ( ! [P: polyno727731844poly_a,N: nat] :
( ~ ( polyno1372495879olyh_a @ P @ N )
| ! [K2: nat] : ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ K2 @ P ) @ N ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(633,plain,
( ( ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(634,plain,
( ( ! [SX0: polyno727731844poly_a,SX1: nat,SX2: polyno727731844poly_a,SX3: polyno727731844poly_a,SX4: nat,SX5: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ SX0 @ SX1 @ SX2 )
= ( polyno1057396216e_CN_a @ SX3 @ SX4 @ SX5 ) )
= ( ~ ( ~ ~ ( ( SX0 != SX3 )
| ( SX1 != SX4 ) )
| ( SX2 != SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(635,plain,
( ( ! [SX0: a,SX1: polyno727731844poly_a] :
~ ( ~ ( ( SX0 != zero_zero_a )
| ! [SX2: nat,SX3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SX0 ) @ ( polyno1057396216e_CN_a @ SX1 @ SX2 @ SX3 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SX0 = zero_zero_a )
| ! [SX2: nat,SX3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SX0 ) @ ( polyno1057396216e_CN_a @ SX1 @ SX2 @ SX3 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SX0 ) @ SX1 ) @ SX2 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SX0 ) @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[579]) ).
thf(636,plain,
( ( ! [SX0: polyno727731844poly_a,SX1: polyno727731844poly_a,SX2: polyno727731844poly_a,SX3: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ SX0 @ SX1 )
= ( polyno1623170614_Add_a @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(637,plain,
( ( ! [SX0: nat,SX1: polyno727731844poly_a > polyno727731844poly_a] :
( ~ ( ~ ( polyno1372495879olyh_a @ ( sK1_P4 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( polyno1372495879olyh_a @ ( SX1 @ ( sK1_P4 @ SX1 @ SX0 ) ) @ SX0 ) )
| ! [SX2: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SX2 @ SX0 )
| ! [SX3: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SX3 @ SX1 @ SX2 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(638,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a] :
( ( ~ ( ~ ( ( SX0 != SX1 ) )
| ~ ( ( SX2 != SX3 ) ) ) )
= ( ( ( plus_plus_a @ ( times_times_a @ SX0 @ SX2 ) @ ( times_times_a @ SX1 @ SX3 ) )
!= ( plus_plus_a @ ( times_times_a @ SX0 @ SX3 ) @ ( times_times_a @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[629]) ).
thf(639,plain,
( ( ! [SX0: polyno727731844poly_a,SX1: polyno727731844poly_a,SX2: polyno727731844poly_a,SX3: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ SX0 @ SX1 )
= ( polyno1491482291_Mul_a @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(640,plain,
( ( ! [SX0: polyno727731844poly_a] :
( ! [SX1: nat] :
~ ( polyno1372495879olyh_a @ SX0 @ SX1 )
| ~ ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SX0 ) @ SX0 )
| ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SX0 ) @ SX0 )
!= zero_zero_a ) ) )
| ( SX0
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[554]) ).
thf(641,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX0 != zero_zero_a ) )
| ~ ! [SX0: a,SX1: a] :
( ( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX1 != zero_zero_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(642,plain,
( ( ! [SX0: a,SX1: polyno727731844poly_a] :
~ ( ~ ( ( SX0 != zero_zero_a )
| ! [SX2: nat,SX3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SX1 @ SX2 @ SX3 ) @ ( polyno439679028le_C_a @ SX0 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SX0 = zero_zero_a )
| ! [SX2: nat,SX3: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SX1 @ SX2 @ SX3 ) @ ( polyno439679028le_C_a @ SX0 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SX1 @ ( polyno439679028le_C_a @ SX0 ) ) @ SX2 @ ( polyno1934269411ymul_a @ SX3 @ ( polyno439679028le_C_a @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(643,plain,
( ( ~ ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ) )
| ~ ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(644,plain,
( ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(645,plain,
! [SV1: polyno727731844poly_a] :
( ( ~ ( polyno190918219poly_a @ SV1 )
| ! [SY328: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ SY328 )
| ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ SV1 @ SY328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(646,plain,
! [SV2: list_a] :
( ( ! [SY329: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV2 @ SY329 )
| ! [SY330: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV2 @ SY330 )
| ( polyno896877631f_bs_a @ SV2 @ ( polyno1934269411ymul_a @ SY329 @ SY330 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(647,plain,
! [SV3: polyno727731844poly_a] :
( ( ! [SY331: polyno727731844poly_a,SY332: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ SV3 @ ( polyno1491482291_Mul_a @ SY331 @ SY332 ) )
= ( polyno1491482291_Mul_a @ SV3 @ ( polyno1491482291_Mul_a @ SY331 @ SY332 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(648,plain,
! [SV4: polyno727731844poly_a] :
( ( ! [SY333: polyno727731844poly_a,SY334: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV4 @ SY333 ) @ SY334 )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV4 @ SY333 ) @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(649,plain,
! [SV5: list_a] :
( ( ! [SY335: polyno727731844poly_a,SY336: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV5 @ ( polyno1934269411ymul_a @ SY335 @ SY336 ) )
= ( times_times_a @ ( polyno422358502poly_a @ SV5 @ SY335 ) @ ( polyno422358502poly_a @ SV5 @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(650,plain,
! [SV6: a] :
( ( ! [SY337: a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV6 ) @ ( polyno439679028le_C_a @ SY337 ) )
= ( polyno439679028le_C_a @ ( times_times_a @ SV6 @ SY337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(651,plain,
! [SV7: polyno727731844poly_a] :
( ( ! [SY338: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1491482291_Mul_a @ SV7 @ SY338 ) )
= ( polyno1934269411ymul_a @ ( polyno955999183nate_a @ SV7 ) @ ( polyno955999183nate_a @ SY338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(652,plain,
! [SV8: polyno727731844poly_a] :
( ( ! [SY339: polyno727731844poly_a,SY340: polyno727731844poly_a,SY341: nat,SY342: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV8 @ SY339 ) @ ( polyno1057396216e_CN_a @ SY340 @ SY341 @ SY342 ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV8 @ SY339 ) @ ( polyno1057396216e_CN_a @ SY340 @ SY341 @ SY342 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(653,plain,
! [SV9: polyno727731844poly_a] :
( ( ! [SY343: nat,SY344: polyno727731844poly_a,SY345: polyno727731844poly_a,SY346: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV9 @ SY343 @ SY344 ) @ ( polyno1491482291_Mul_a @ SY345 @ SY346 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV9 @ SY343 @ SY344 ) @ ( polyno1491482291_Mul_a @ SY345 @ SY346 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(654,plain,
! [SV10: polyno727731844poly_a] :
( ( ! [SY347: polyno727731844poly_a,SY348: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ SV10 @ ( polyno1623170614_Add_a @ SY347 @ SY348 ) )
= ( polyno1491482291_Mul_a @ SV10 @ ( polyno1623170614_Add_a @ SY347 @ SY348 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(655,plain,
! [SV11: polyno727731844poly_a] :
( ( ! [SY349: polyno727731844poly_a,SY350: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV11 @ SY349 ) @ SY350 )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV11 @ SY349 ) @ SY350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(656,plain,
! [SV12: polyno727731844poly_a] :
( ( ! [SY351: nat] :
( ( polyno1934269411ymul_a @ SV12 @ ( polyno2024845497ound_a @ SY351 ) )
= ( polyno1491482291_Mul_a @ SV12 @ ( polyno2024845497ound_a @ SY351 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(657,plain,
! [SV13: nat] :
( ( ! [SY352: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ SV13 ) @ SY352 )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV13 ) @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(658,plain,
! [SV14: polyno727731844poly_a] :
( ( ! [SY353: polyno727731844poly_a,SY354: nat] :
( ( polyno1934269411ymul_a @ SV14 @ ( polyno1538138524e_Pw_a @ SY353 @ SY354 ) )
= ( polyno1491482291_Mul_a @ SV14 @ ( polyno1538138524e_Pw_a @ SY353 @ SY354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(659,plain,
! [SV15: polyno727731844poly_a] :
( ( ! [SY355: nat,SY356: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV15 @ SY355 ) @ SY356 )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV15 @ SY355 ) @ SY356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(660,plain,
! [SV16: polyno727731844poly_a] :
( ( ! [SY357: polyno727731844poly_a,SY358: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno975704247_Sub_a @ SV16 @ SY357 ) @ SY358 )
= ( polyno1491482291_Mul_a @ ( polyno975704247_Sub_a @ SV16 @ SY357 ) @ SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(661,plain,
! [SV17: a] :
( ( ! [SY359: a] :
( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SY359 ) )
= ( SV17 = SY359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(662,plain,
! [SV18: list_a] :
( ( ! [SY360: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV18 @ ( polyno955999183nate_a @ SY360 ) )
= ( polyno422358502poly_a @ SV18 @ SY360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(663,plain,
! [SV19: list_a] :
( ( ! [SY361: polyno727731844poly_a,SY362: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV19 @ ( polyno1491482291_Mul_a @ SY361 @ SY362 ) )
= ( times_times_a @ ( polyno422358502poly_a @ SV19 @ SY361 ) @ ( polyno422358502poly_a @ SV19 @ SY362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(664,plain,
! [SV20: list_a] :
( ( ! [SY363: a] :
( ( polyno422358502poly_a @ SV20 @ ( polyno439679028le_C_a @ SY363 ) )
= SY363 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(665,plain,
! [SV21: polyno727731844poly_a] :
( ( ! [SY364: polyno727731844poly_a,SY365: polyno727731844poly_a,SY366: nat,SY367: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ SV21 @ SY364 )
!= ( polyno1057396216e_CN_a @ SY365 @ SY366 @ SY367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(666,plain,
! [SV22: polyno727731844poly_a] :
( ( ! [SY368: polyno727731844poly_a,SY369: polyno727731844poly_a,SY370: nat,SY371: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ SV22 @ SY368 )
!= ( polyno1057396216e_CN_a @ SY369 @ SY370 @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(667,plain,
! [SV23: polyno727731844poly_a] :
( ( ! [SY372: polyno727731844poly_a,SY373: polyno727731844poly_a,SY374: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ SV23 @ SY372 )
!= ( polyno1491482291_Mul_a @ SY373 @ SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(668,plain,
! [SV24: a] :
( ( ! [SY375: polyno727731844poly_a,SY376: nat,SY377: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ SV24 )
!= ( polyno1057396216e_CN_a @ SY375 @ SY376 @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(669,plain,
! [SV25: a] :
( ( ! [SY378: polyno727731844poly_a,SY379: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ SV25 )
!= ( polyno1491482291_Mul_a @ SY378 @ SY379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(670,plain,
! [SV26: a] :
( ( ! [SY380: polyno727731844poly_a,SY381: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ SV26 )
!= ( polyno1623170614_Add_a @ SY380 @ SY381 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(671,plain,
! [SV27: polyno727731844poly_a] :
( ( ! [SY382: polyno727731844poly_a,SY383: polyno727731844poly_a,SY384: nat,SY385: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV27 @ SY382 ) @ ( polyno1057396216e_CN_a @ SY383 @ SY384 @ SY385 ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV27 @ SY382 ) @ ( polyno1057396216e_CN_a @ SY383 @ SY384 @ SY385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(672,plain,
! [SV28: polyno727731844poly_a] :
( ( ! [SY386: nat,SY387: polyno727731844poly_a,SY388: polyno727731844poly_a,SY389: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV28 @ SY386 @ SY387 ) @ ( polyno1623170614_Add_a @ SY388 @ SY389 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV28 @ SY386 @ SY387 ) @ ( polyno1623170614_Add_a @ SY388 @ SY389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(673,plain,
! [SV29: polyno727731844poly_a] :
( ( ! [SY390: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SY390 ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(674,plain,
! [SV30: polyno727731844poly_a] :
( ( ! [SY392: polyno727731844poly_a] :
( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SY392 ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(675,plain,
! [SV31: a] :
( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) )
= ( ^ [K: nat] : $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(676,plain,
! [SV32: a] :
( ( ( polyno955999183nate_a @ ( polyno439679028le_C_a @ SV32 ) )
= ( polyno439679028le_C_a @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(677,plain,
! [SV33: polyno727731844poly_a] :
( ( polyno190918219poly_a @ ( polyno955999183nate_a @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(678,plain,
! [SV34: polyno727731844poly_a] :
( ( ! [SY395: nat] :
( ~ ( polyno1372495879olyh_a @ SV34 @ SY395 )
| ! [SY396: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY396 @ N1 )
| ( ( ! [SY398: list_a] :
( ( polyno422358502poly_a @ SY398 @ SV34 )
= ( polyno422358502poly_a @ SY398 @ SY396 ) ) )
= ( SV34 = SY396 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(679,plain,
! [SV35: list_a] :
( ( ! [SY399: a,SY400: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV35 @ ( polyno562434098cmul_a @ SY399 @ SY400 ) )
= ( polyno422358502poly_a @ SV35 @ ( polyno1491482291_Mul_a @ ( polyno439679028le_C_a @ SY399 ) @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(680,plain,
! [SV36: polyno727731844poly_a] :
( ( ! [SY401: nat] :
~ ( polyno1372495879olyh_a @ SV36 @ SY401 )
| ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ SV36 )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(681,plain,
! [SV37: polyno727731844poly_a] :
( ( ! [SY402: nat] :
~ ( polyno1372495879olyh_a @ SV37 @ SY402 )
| ( ( polyno1934269411ymul_a @ SV37 @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(682,plain,
! [SV38: polyno727731844poly_a] :
( ( ! [SY403: nat] :
~ ( polyno1372495879olyh_a @ SV38 @ SY403 )
| ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ SV38 )
= SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(683,plain,
! [SV39: polyno727731844poly_a] :
( ( ! [SY404: nat] :
~ ( polyno1372495879olyh_a @ SV39 @ SY404 )
| ( ( polyno1934269411ymul_a @ SV39 @ ( polyno439679028le_C_a @ one_one_a ) )
= SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(684,plain,
! [SV40: polyno727731844poly_a] :
( ( ! [SY405: nat,SY406: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1057396216e_CN_a @ SV40 @ SY405 @ SY406 ) )
= ( polyno955999183nate_a @ ( polyno1623170614_Add_a @ SV40 @ ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SY405 ) @ SY406 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(685,plain,
! [SV41: polyno727731844poly_a] :
( ( ! [SY407: nat] :
( ~ ( polyno1372495879olyh_a @ SV41 @ SY407 )
| ! [SY408: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY408 @ N1 )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SY408 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SY408
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(686,plain,
! [SV42: a] :
( ( ! [SY410: polyno727731844poly_a,SY411: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV42 @ ( polyno1623170614_Add_a @ SY410 @ SY411 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV42 ) @ ( polyno1623170614_Add_a @ SY410 @ SY411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(687,plain,
! [SV43: a] :
( ( ! [SY412: polyno727731844poly_a,SY413: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV43 @ ( polyno1491482291_Mul_a @ SY412 @ SY413 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV43 ) @ ( polyno1491482291_Mul_a @ SY412 @ SY413 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(688,plain,
! [SV44: nat] :
( ( ! [SY414: nat] :
( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SY414 ) )
= ( SV44 = SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(689,plain,
! [SV45: a] :
( ( ! [SY415: nat] :
( ( polyno562434098cmul_a @ SV45 @ ( polyno2024845497ound_a @ SY415 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV45 ) @ ( polyno2024845497ound_a @ SY415 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(690,plain,
! [SV46: nat] :
( ( ! [SY416: polyno727731844poly_a,SY417: nat,SY418: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ SV46 )
!= ( polyno1057396216e_CN_a @ SY416 @ SY417 @ SY418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(691,plain,
! [SV47: a] :
( ( ! [SY419: nat] :
( ( polyno439679028le_C_a @ SV47 )
!= ( polyno2024845497ound_a @ SY419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(692,plain,
! [SV48: nat] :
( ( ! [SY420: polyno727731844poly_a,SY421: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ SV48 )
!= ( polyno1491482291_Mul_a @ SY420 @ SY421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(693,plain,
! [SV49: nat] :
( ( ! [SY422: polyno727731844poly_a,SY423: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ SV49 )
!= ( polyno1623170614_Add_a @ SY422 @ SY423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(694,plain,
! [SV50: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(695,plain,
! [SV51: a] :
( ( ! [SY425: polyno727731844poly_a,SY426: nat,SY427: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV51 @ ( polyno1057396216e_CN_a @ SY425 @ SY426 @ SY427 ) )
= ( polyno1057396216e_CN_a @ ( polyno562434098cmul_a @ SV51 @ SY425 ) @ SY426 @ ( polyno562434098cmul_a @ SV51 @ SY427 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(696,plain,
! [SV52: a] :
( ( ! [SY428: a] :
( ( polyno562434098cmul_a @ SV52 @ ( polyno439679028le_C_a @ SY428 ) )
= ( polyno439679028le_C_a @ ( times_times_a @ SV52 @ SY428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(697,plain,
! [SV53: nat] :
( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ one_one_a ) @ SV53 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(698,plain,
! [SV54: nat] :
( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ SV54 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(699,plain,
( ( ! [SV55: polyno727731844poly_a] :
( ( polyno190918219poly_a @ SV55 )
= ( polyno1372495879olyh_a @ SV55 @ zero_zero_nat ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(700,plain,
( ( polyno190918219poly_a
= ( ^ [P2: polyno727731844poly_a] : ( polyno1372495879olyh_a @ P2 @ zero_zero_nat ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(701,plain,
! [SV56: polyno727731844poly_a] :
( ( ! [SY429: nat,SY430: polyno727731844poly_a,SY431: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV56 @ SY429 @ SY430 ) @ ( polyno2024845497ound_a @ SY431 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV56 @ SY429 @ SY430 ) @ ( polyno2024845497ound_a @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(702,plain,
! [SV57: nat] :
( ( ! [SY432: polyno727731844poly_a,SY433: nat,SY434: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SY432 @ SY433 @ SY434 ) )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SY432 @ SY433 @ SY434 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(703,plain,
! [SV58: a] :
( ( ( times_times_a @ SV58 @ one_one_a )
= SV58 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(704,plain,
! [SV59: a] :
( ( ( times_times_a @ one_one_a @ SV59 )
= SV59 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(705,plain,
! [SV60: a] :
( ( ! [SY435: a,SY436: a] :
( ( ( times_times_a @ SV60 @ SY435 )
= ( times_times_a @ SY436 @ SY435 ) )
= ( ( SY435 = zero_zero_a )
| ( SV60 = SY436 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(706,plain,
! [SV61: a] :
( ( ! [SY437: a,SY438: a] :
( ( ( times_times_a @ SV61 @ SY437 )
= ( times_times_a @ SV61 @ SY438 ) )
= ( ( SV61 = zero_zero_a )
| ( SY437 = SY438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(707,plain,
! [SV62: a] :
( ( ( times_times_a @ zero_zero_a @ SV62 )
= zero_zero_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(708,plain,
! [SV63: a] :
( ( ( times_times_a @ SV63 @ zero_zero_a )
= zero_zero_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(709,plain,
! [SV64: a] :
( ( ! [SY439: a] :
( ( ( times_times_a @ SV64 @ SY439 )
= zero_zero_a )
= ( ( SV64 = zero_zero_a )
| ( SY439 = zero_zero_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(710,plain,
! [SV65: a] :
( ( ! [SY440: a,SY441: a] :
( ( times_times_a @ ( times_times_a @ SV65 @ SY440 ) @ SY441 )
= ( times_times_a @ SV65 @ ( times_times_a @ SY440 @ SY441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(711,plain,
! [SV66: a] :
( ( ! [SY442: a,SY443: a] :
( ( times_times_a @ ( times_times_a @ SV66 @ SY442 ) @ SY443 )
= ( times_times_a @ SV66 @ ( times_times_a @ SY442 @ SY443 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(712,plain,
( ( ! [SV67: a] :
( ( times_times_a @ SV67 )
= ( ^ [SY444: a] : ( times_times_a @ SY444 @ SV67 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[589]) ).
thf(713,plain,
( ( times_times_a
= ( ^ [A2: a,B2: a] : ( times_times_a @ B2 @ A2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[589]) ).
thf(714,plain,
! [SV68: a] :
( ( ! [SY445: a,SY446: a] :
( ( times_times_a @ SV68 @ ( times_times_a @ SY445 @ SY446 ) )
= ( times_times_a @ SY445 @ ( times_times_a @ SV68 @ SY446 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(715,plain,
! [SV69: a] :
( ( ! [SY447: a] :
( ( ( times_times_a @ SV69 @ SY447 )
!= zero_zero_a )
| ( SV69 = zero_zero_a )
| ( SY447 = zero_zero_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(716,plain,
! [SV70: a] :
( ( ( SV70 = zero_zero_a )
| ! [SY448: a] :
( ( SY448 = zero_zero_a )
| ( ( times_times_a @ SV70 @ SY448 )
!= zero_zero_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(717,plain,
! [SV71: a] :
( ( ( SV71 = zero_zero_a )
| ! [SY449: a,SY450: a] :
( ( ( times_times_a @ SV71 @ SY449 )
= ( times_times_a @ SV71 @ SY450 ) )
= ( SY449 = SY450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(718,plain,
! [SV72: a] :
( ( ( SV72 = zero_zero_a )
| ! [SY451: a,SY452: a] :
( ( ( times_times_a @ SY451 @ SV72 )
= ( times_times_a @ SY452 @ SV72 ) )
= ( SY451 = SY452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(719,plain,
! [SV73: a] :
( ( ( times_times_a @ one_one_a @ SV73 )
= SV73 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(720,plain,
! [SV74: a] :
( ( ( times_times_a @ SV74 @ one_one_a )
= SV74 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(721,plain,
! [SV75: polyno727731844poly_a] :
( ( ! [SY453: a] :
( ( polyno1397854436bst0_a @ SV75 @ ( polyno439679028le_C_a @ SY453 ) )
= ( polyno439679028le_C_a @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(722,plain,
! [SV76: polyno727731844poly_a] :
( ( ! [SY454: polyno727731844poly_a,SY455: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ SV76 @ ( polyno1491482291_Mul_a @ SY454 @ SY455 ) )
= ( polyno1491482291_Mul_a @ ( polyno1397854436bst0_a @ SV76 @ SY454 ) @ ( polyno1397854436bst0_a @ SV76 @ SY455 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(723,plain,
! [SV77: polyno727731844poly_a] :
( ( ! [SY456: polyno727731844poly_a,SY457: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ SV77 @ ( polyno1623170614_Add_a @ SY456 @ SY457 ) )
= ( polyno1623170614_Add_a @ ( polyno1397854436bst0_a @ SV77 @ SY456 ) @ ( polyno1397854436bst0_a @ SV77 @ SY457 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(724,plain,
! [SV78: a] :
( ( ( polyno567601229eadn_a @ ( polyno439679028le_C_a @ SV78 ) )
= ( ^ [SY458: nat] : ( polyno439679028le_C_a @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(725,plain,
! [SV79: polyno727731844poly_a] :
( ( ! [SY459: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ SV79 @ SY459 ) )
= ( ^ [SY460: nat] : ( polyno1491482291_Mul_a @ SV79 @ SY459 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(726,plain,
! [SV80: polyno727731844poly_a] :
( ( ! [SY461: polyno727731844poly_a] :
( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ SV80 @ SY461 ) )
= ( ^ [SY462: nat] : ( polyno1623170614_Add_a @ SV80 @ SY461 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(727,plain,
! [SV81: nat] :
( ( ( polyno567601229eadn_a @ ( polyno2024845497ound_a @ SV81 ) )
= ( ^ [SY463: nat] : ( polyno2024845497ound_a @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(728,plain,
! [SV82: list_a] :
( ( ! [SY464: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV82 @ SY464 )
| ! [SY465: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV82 @ SY465 )
| ( polyno896877631f_bs_a @ SV82 @ ( polyno1418491367ysub_a @ SY464 @ SY465 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(729,plain,
! [SV83: polyno727731844poly_a] :
( ( ~ ( polyno190918219poly_a @ SV83 )
| ! [SY466: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ SY466 )
| ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ SV83 @ SY466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(730,plain,
! [SV84: polyno727731844poly_a] :
( ( ! [SY467: nat,SY468: polyno727731844poly_a] :
( ( polyno2115742616onst_a @ ( polyno1057396216e_CN_a @ SV84 @ SY467 @ SY468 ) )
= ( polyno2115742616onst_a @ SY468 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(731,plain,
! [SV85: a] :
( ( ( polyno2115742616onst_a @ ( polyno439679028le_C_a @ SV85 ) )
= SV85 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(732,plain,
! [SV86: a] :
( ( ( polyno1884029055head_a @ ( polyno439679028le_C_a @ SV86 ) )
= ( polyno439679028le_C_a @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(733,plain,
! [SV87: polyno727731844poly_a] :
( ( ! [SY469: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1491482291_Mul_a @ SV87 @ SY469 ) )
= ( polyno1491482291_Mul_a @ SV87 @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(734,plain,
! [SV88: polyno727731844poly_a] :
( ( ! [SY470: polyno727731844poly_a] :
( ( polyno1884029055head_a @ ( polyno1623170614_Add_a @ SV88 @ SY470 ) )
= ( polyno1623170614_Add_a @ SV88 @ SY470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(735,plain,
! [SV89: nat] :
( ( ( polyno1884029055head_a @ ( polyno2024845497ound_a @ SV89 ) )
= ( polyno2024845497ound_a @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(736,plain,
! [SV90: polyno727731844poly_a] :
( ( ! [SY471: nat] :
( ~ ( polyno1372495879olyh_a @ SV90 @ SY471 )
| ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ SV90 ) @ SY471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(737,plain,
! [SV91: polyno727731844poly_a] :
( ( ! [SY472: nat] :
( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SY472 ) )
= ( ^ [K: nat] : $false ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(738,plain,
! [SV92: a] :
( ( ! [SY474: a,SY475: a,SY476: a] :
( ( plus_plus_a @ ( times_times_a @ SV92 @ SY474 ) @ ( plus_plus_a @ ( times_times_a @ SY475 @ SY474 ) @ SY476 ) )
= ( plus_plus_a @ ( times_times_a @ ( plus_plus_a @ SV92 @ SY475 ) @ SY474 ) @ SY476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(739,plain,
! [SV93: a] :
( ( ! [SY477: a,SY478: a] :
( ( times_times_a @ ( plus_plus_a @ SV93 @ SY477 ) @ SY478 )
= ( plus_plus_a @ ( times_times_a @ SV93 @ SY478 ) @ ( times_times_a @ SY477 @ SY478 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(740,plain,
! [SV94: a] :
( ( ! [SY479: a,SY480: a] :
( ( times_times_a @ SV94 @ ( plus_plus_a @ SY479 @ SY480 ) )
= ( plus_plus_a @ ( times_times_a @ SV94 @ SY479 ) @ ( times_times_a @ SV94 @ SY480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(741,plain,
! [SV95: a] :
( ( ! [SY481: a,SY482: a] :
( ( times_times_a @ ( plus_plus_a @ SV95 @ SY481 ) @ SY482 )
= ( plus_plus_a @ ( times_times_a @ SV95 @ SY482 ) @ ( times_times_a @ SY481 @ SY482 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(742,plain,
! [SV96: a] :
( ( ! [SY483: a,SY484: a] :
( ( times_times_a @ SV96 @ ( plus_plus_a @ SY483 @ SY484 ) )
= ( plus_plus_a @ ( times_times_a @ SV96 @ SY483 ) @ ( times_times_a @ SV96 @ SY484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(743,plain,
! [SV97: a] :
( ( ! [SY485: a,SY486: a] :
( ( times_times_a @ ( plus_plus_a @ SV97 @ SY485 ) @ SY486 )
= ( plus_plus_a @ ( times_times_a @ SV97 @ SY486 ) @ ( times_times_a @ SY485 @ SY486 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(744,plain,
! [SV98: polyno727731844poly_a] :
( ( ! [SY487: polyno727731844poly_a,SY488: polyno727731844poly_a,SY489: nat] :
( ( polyno1491482291_Mul_a @ SV98 @ SY487 )
!= ( polyno1538138524e_Pw_a @ SY488 @ SY489 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(745,plain,
! [SV99: a] :
( ( ! [SY490: polyno727731844poly_a,SY491: nat] :
( ( polyno439679028le_C_a @ SV99 )
!= ( polyno1538138524e_Pw_a @ SY490 @ SY491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(746,plain,
! [SV100: list_a] :
( ( ! [SY492: polyno727731844poly_a,SY493: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV100 @ ( polyno1623170614_Add_a @ SY492 @ SY493 ) )
= ( plus_plus_a @ ( polyno422358502poly_a @ SV100 @ SY492 ) @ ( polyno422358502poly_a @ SV100 @ SY493 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(747,plain,
! [SV101: polyno727731844poly_a] :
( ( ! [SY494: nat,SY495: polyno727731844poly_a,SY496: polyno727731844poly_a,SY497: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV101 @ SY494 @ SY495 ) @ ( polyno1538138524e_Pw_a @ SY496 @ SY497 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV101 @ SY494 @ SY495 ) @ ( polyno1538138524e_Pw_a @ SY496 @ SY497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(748,plain,
! [SV102: polyno727731844poly_a] :
( ( ! [SY498: nat,SY499: polyno727731844poly_a,SY500: nat,SY501: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SY498 ) @ ( polyno1057396216e_CN_a @ SY499 @ SY500 @ SY501 ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SY498 ) @ ( polyno1057396216e_CN_a @ SY499 @ SY500 @ SY501 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(749,plain,
! [SV103: a] :
( ( ! [SY502: polyno727731844poly_a,SY503: nat] :
( ( polyno562434098cmul_a @ SV103 @ ( polyno1538138524e_Pw_a @ SY502 @ SY503 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV103 ) @ ( polyno1538138524e_Pw_a @ SY502 @ SY503 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(750,plain,
! [SV104: polyno727731844poly_a] :
( ( ! [SY504: nat] :
( ~ ( polyno1372495879olyh_a @ SV104 @ SY504 )
| ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ SV104 ) @ SY504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(751,plain,
! [SV105: a] :
( ( ! [SY505: a,SY506: a,SY507: a] :
( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SY505 ) @ ( times_times_a @ SY506 @ SY507 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SY507 ) @ ( times_times_a @ SY506 @ SY505 ) ) )
= ( ( SV105 = SY506 )
| ( SY505 = SY507 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(752,plain,
! [SV106: a] :
( ( ! [SY508: polyno727731844poly_a,SY509: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV106 @ ( polyno975704247_Sub_a @ SY508 @ SY509 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV106 ) @ ( polyno975704247_Sub_a @ SY508 @ SY509 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(753,plain,
! [SV107: polyno727731844poly_a] :
( ( ! [SY510: nat] :
( ~ ( polyno1372495879olyh_a @ SV107 @ SY510 )
| ! [SY511: nat] : ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ SY511 @ SV107 ) @ SY510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(754,plain,
( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(755,plain,
! [SV108: polyno727731844poly_a] :
( ( ! [SY512: nat,SY513: polyno727731844poly_a,SY514: polyno727731844poly_a,SY515: nat,SY516: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ SV108 @ SY512 @ SY513 )
= ( polyno1057396216e_CN_a @ SY514 @ SY515 @ SY516 ) )
= ( ~ ( ~ ~ ( ( SV108 != SY514 )
| ( SY512 != SY515 ) )
| ( SY513 != SY516 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(756,plain,
! [SV109: a] :
( ( ! [SY517: polyno727731844poly_a] :
~ ( ~ ( ( SV109 != zero_zero_a )
| ! [SY518: nat,SY519: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SY517 @ SY518 @ SY519 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SV109 = zero_zero_a )
| ! [SY520: nat,SY521: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SY517 @ SY520 @ SY521 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY517 ) @ SY520 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY521 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(757,plain,
! [SV110: polyno727731844poly_a] :
( ( ! [SY522: polyno727731844poly_a,SY523: polyno727731844poly_a,SY524: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ SV110 @ SY522 )
= ( polyno1623170614_Add_a @ SY523 @ SY524 ) )
= ( ~ ( ( SV110 != SY523 )
| ( SY522 != SY524 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(758,plain,
! [SV111: nat] :
( ( ! [SY525: polyno727731844poly_a > polyno727731844poly_a] :
( ~ ( ~ ( polyno1372495879olyh_a @ ( sK1_P4 @ SY525 @ SV111 ) @ SV111 )
| ~ ~ ( polyno1372495879olyh_a @ ( SY525 @ ( sK1_P4 @ SY525 @ SV111 ) ) @ SV111 ) )
| ! [SY526: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY526 @ SV111 )
| ! [SY527: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY527 @ SY525 @ SY526 ) @ SV111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(759,plain,
! [SV112: a] :
( ( ! [SY528: a,SY529: a,SY530: a] :
( ( ~ ( ~ ( ( SV112 != SY528 ) )
| ~ ( ( SY529 != SY530 ) ) ) )
= ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SY529 ) @ ( times_times_a @ SY528 @ SY530 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SY530 ) @ ( times_times_a @ SY528 @ SY529 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(760,plain,
! [SV113: polyno727731844poly_a] :
( ( ! [SY531: polyno727731844poly_a,SY532: polyno727731844poly_a,SY533: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ SV113 @ SY531 )
= ( polyno1491482291_Mul_a @ SY532 @ SY533 ) )
= ( ~ ( ( SV113 != SY532 )
| ( SY531 != SY533 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(761,plain,
! [SV114: polyno727731844poly_a] :
( ( ! [SY534: nat] :
~ ( polyno1372495879olyh_a @ SV114 @ SY534 )
| ~ ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
| ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) ) )
| ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(762,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX0 != zero_zero_a ) )
| ~ ! [SX0: a,SX1: a] :
( ( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX1 != zero_zero_a ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(763,plain,
! [SV115: a] :
( ( ! [SY535: polyno727731844poly_a] :
~ ( ~ ( ( SV115 != zero_zero_a )
| ! [SY536: nat,SY537: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SY535 @ SY536 @ SY537 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SV115 = zero_zero_a )
| ! [SY538: nat,SY539: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SY535 @ SY538 @ SY539 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SY535 @ ( polyno439679028le_C_a @ SV115 ) ) @ SY538 @ ( polyno1934269411ymul_a @ SY539 @ ( polyno439679028le_C_a @ SV115 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(764,plain,
( ( ( ~ ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true )
| ( ( ~ ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(765,plain,
! [SV1: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV1 ) )
= $true )
| ( ( ! [SY328: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ SY328 )
| ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ SV1 @ SY328 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(766,plain,
! [SV116: polyno727731844poly_a,SV2: list_a] :
( ( ~ ( polyno896877631f_bs_a @ SV2 @ SV116 )
| ! [SY540: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV2 @ SY540 )
| ( polyno896877631f_bs_a @ SV2 @ ( polyno1934269411ymul_a @ SV116 @ SY540 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(767,plain,
! [SV117: polyno727731844poly_a,SV3: polyno727731844poly_a] :
( ( ! [SY541: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ SV3 @ ( polyno1491482291_Mul_a @ SV117 @ SY541 ) )
= ( polyno1491482291_Mul_a @ SV3 @ ( polyno1491482291_Mul_a @ SV117 @ SY541 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(768,plain,
! [SV118: polyno727731844poly_a,SV4: polyno727731844poly_a] :
( ( ! [SY542: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV4 @ SV118 ) @ SY542 )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV4 @ SV118 ) @ SY542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(769,plain,
! [SV119: polyno727731844poly_a,SV5: list_a] :
( ( ! [SY543: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV5 @ ( polyno1934269411ymul_a @ SV119 @ SY543 ) )
= ( times_times_a @ ( polyno422358502poly_a @ SV5 @ SV119 ) @ ( polyno422358502poly_a @ SV5 @ SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(770,plain,
! [SV120: a,SV6: a] :
( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV6 ) @ ( polyno439679028le_C_a @ SV120 ) )
= ( polyno439679028le_C_a @ ( times_times_a @ SV6 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(771,plain,
! [SV121: polyno727731844poly_a,SV7: polyno727731844poly_a] :
( ( ( polyno955999183nate_a @ ( polyno1491482291_Mul_a @ SV7 @ SV121 ) )
= ( polyno1934269411ymul_a @ ( polyno955999183nate_a @ SV7 ) @ ( polyno955999183nate_a @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(772,plain,
! [SV122: polyno727731844poly_a,SV8: polyno727731844poly_a] :
( ( ! [SY544: polyno727731844poly_a,SY545: nat,SY546: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SY544 @ SY545 @ SY546 ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SY544 @ SY545 @ SY546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(773,plain,
! [SV123: nat,SV9: polyno727731844poly_a] :
( ( ! [SY547: polyno727731844poly_a,SY548: polyno727731844poly_a,SY549: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SY547 ) @ ( polyno1491482291_Mul_a @ SY548 @ SY549 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SY547 ) @ ( polyno1491482291_Mul_a @ SY548 @ SY549 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(774,plain,
! [SV124: polyno727731844poly_a,SV10: polyno727731844poly_a] :
( ( ! [SY550: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ SV10 @ ( polyno1623170614_Add_a @ SV124 @ SY550 ) )
= ( polyno1491482291_Mul_a @ SV10 @ ( polyno1623170614_Add_a @ SV124 @ SY550 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(775,plain,
! [SV125: polyno727731844poly_a,SV11: polyno727731844poly_a] :
( ( ! [SY551: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV11 @ SV125 ) @ SY551 )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV11 @ SV125 ) @ SY551 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(776,plain,
! [SV126: nat,SV12: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ SV12 @ ( polyno2024845497ound_a @ SV126 ) )
= ( polyno1491482291_Mul_a @ SV12 @ ( polyno2024845497ound_a @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(777,plain,
! [SV127: polyno727731844poly_a,SV13: nat] :
( ( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ SV13 ) @ SV127 )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV13 ) @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(778,plain,
! [SV128: polyno727731844poly_a,SV14: polyno727731844poly_a] :
( ( ! [SY552: nat] :
( ( polyno1934269411ymul_a @ SV14 @ ( polyno1538138524e_Pw_a @ SV128 @ SY552 ) )
= ( polyno1491482291_Mul_a @ SV14 @ ( polyno1538138524e_Pw_a @ SV128 @ SY552 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(779,plain,
! [SV129: nat,SV15: polyno727731844poly_a] :
( ( ! [SY553: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV15 @ SV129 ) @ SY553 )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV15 @ SV129 ) @ SY553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(780,plain,
! [SV130: polyno727731844poly_a,SV16: polyno727731844poly_a] :
( ( ! [SY554: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno975704247_Sub_a @ SV16 @ SV130 ) @ SY554 )
= ( polyno1491482291_Mul_a @ ( polyno975704247_Sub_a @ SV16 @ SV130 ) @ SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(781,plain,
! [SV131: a,SV17: a] :
( ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= ( SV17 = SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(782,plain,
! [SV132: polyno727731844poly_a,SV18: list_a] :
( ( ( polyno422358502poly_a @ SV18 @ ( polyno955999183nate_a @ SV132 ) )
= ( polyno422358502poly_a @ SV18 @ SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(783,plain,
! [SV133: polyno727731844poly_a,SV19: list_a] :
( ( ! [SY555: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV19 @ ( polyno1491482291_Mul_a @ SV133 @ SY555 ) )
= ( times_times_a @ ( polyno422358502poly_a @ SV19 @ SV133 ) @ ( polyno422358502poly_a @ SV19 @ SY555 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(784,plain,
! [SV134: a,SV20: list_a] :
( ( ( polyno422358502poly_a @ SV20 @ ( polyno439679028le_C_a @ SV134 ) )
= SV134 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(785,plain,
! [SV135: polyno727731844poly_a,SV21: polyno727731844poly_a] :
( ( ! [SY556: polyno727731844poly_a,SY557: nat,SY558: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ SV21 @ SV135 )
!= ( polyno1057396216e_CN_a @ SY556 @ SY557 @ SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(786,plain,
! [SV136: polyno727731844poly_a,SV22: polyno727731844poly_a] :
( ( ! [SY559: polyno727731844poly_a,SY560: nat,SY561: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ SV22 @ SV136 )
!= ( polyno1057396216e_CN_a @ SY559 @ SY560 @ SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(787,plain,
! [SV137: polyno727731844poly_a,SV23: polyno727731844poly_a] :
( ( ! [SY562: polyno727731844poly_a,SY563: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ SV23 @ SV137 )
!= ( polyno1491482291_Mul_a @ SY562 @ SY563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(788,plain,
! [SV138: polyno727731844poly_a,SV24: a] :
( ( ! [SY564: nat,SY565: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ SV24 )
!= ( polyno1057396216e_CN_a @ SV138 @ SY564 @ SY565 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(789,plain,
! [SV139: polyno727731844poly_a,SV25: a] :
( ( ! [SY566: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ SV25 )
!= ( polyno1491482291_Mul_a @ SV139 @ SY566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(790,plain,
! [SV140: polyno727731844poly_a,SV26: a] :
( ( ! [SY567: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ SV26 )
!= ( polyno1623170614_Add_a @ SV140 @ SY567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(791,plain,
! [SV141: polyno727731844poly_a,SV27: polyno727731844poly_a] :
( ( ! [SY568: polyno727731844poly_a,SY569: nat,SY570: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SY568 @ SY569 @ SY570 ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SY568 @ SY569 @ SY570 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(792,plain,
! [SV142: nat,SV28: polyno727731844poly_a] :
( ( ! [SY571: polyno727731844poly_a,SY572: polyno727731844poly_a,SY573: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SY571 ) @ ( polyno1623170614_Add_a @ SY572 @ SY573 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SY571 ) @ ( polyno1623170614_Add_a @ SY572 @ SY573 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(793,plain,
! [SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(794,plain,
! [SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(795,plain,
! [SV31: a] :
( ( ! [SV145: nat] :
( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV145 )
= $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(796,plain,
! [SV31: a] :
( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) )
= ( ^ [K: nat] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(797,plain,
! [SV146: nat,SV34: polyno727731844poly_a] :
( ( ~ ( polyno1372495879olyh_a @ SV34 @ SV146 )
| ! [SY396: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY396 @ N1 )
| ( ( ! [SY398: list_a] :
( ( polyno422358502poly_a @ SY398 @ SV34 )
= ( polyno422358502poly_a @ SY398 @ SY396 ) ) )
= ( SV34 = SY396 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(798,plain,
! [SV147: a,SV35: list_a] :
( ( ! [SY579: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV35 @ ( polyno562434098cmul_a @ SV147 @ SY579 ) )
= ( polyno422358502poly_a @ SV35 @ ( polyno1491482291_Mul_a @ ( polyno439679028le_C_a @ SV147 ) @ SY579 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(799,plain,
! [SV36: polyno727731844poly_a] :
( ( ( ! [SY401: nat] :
~ ( polyno1372495879olyh_a @ SV36 @ SY401 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ SV36 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(800,plain,
! [SV37: polyno727731844poly_a] :
( ( ( ! [SY402: nat] :
~ ( polyno1372495879olyh_a @ SV37 @ SY402 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ SV37 @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(801,plain,
! [SV38: polyno727731844poly_a] :
( ( ( ! [SY403: nat] :
~ ( polyno1372495879olyh_a @ SV38 @ SY403 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ SV38 )
= SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(802,plain,
! [SV39: polyno727731844poly_a] :
( ( ( ! [SY404: nat] :
~ ( polyno1372495879olyh_a @ SV39 @ SY404 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ SV39 @ ( polyno439679028le_C_a @ one_one_a ) )
= SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(803,plain,
! [SV148: nat,SV40: polyno727731844poly_a] :
( ( ! [SY580: polyno727731844poly_a] :
( ( polyno955999183nate_a @ ( polyno1057396216e_CN_a @ SV40 @ SV148 @ SY580 ) )
= ( polyno955999183nate_a @ ( polyno1623170614_Add_a @ SV40 @ ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV148 ) @ SY580 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(804,plain,
! [SV149: nat,SV41: polyno727731844poly_a] :
( ( ~ ( polyno1372495879olyh_a @ SV41 @ SV149 )
| ! [SY408: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY408 @ N1 )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SY408 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SY408
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(805,plain,
! [SV150: polyno727731844poly_a,SV42: a] :
( ( ! [SY583: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV42 @ ( polyno1623170614_Add_a @ SV150 @ SY583 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV42 ) @ ( polyno1623170614_Add_a @ SV150 @ SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(806,plain,
! [SV151: polyno727731844poly_a,SV43: a] :
( ( ! [SY584: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV43 @ ( polyno1491482291_Mul_a @ SV151 @ SY584 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV43 ) @ ( polyno1491482291_Mul_a @ SV151 @ SY584 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(807,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= ( SV44 = SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(808,plain,
! [SV153: nat,SV45: a] :
( ( ( polyno562434098cmul_a @ SV45 @ ( polyno2024845497ound_a @ SV153 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV45 ) @ ( polyno2024845497ound_a @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(809,plain,
! [SV154: polyno727731844poly_a,SV46: nat] :
( ( ! [SY585: nat,SY586: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ SV46 )
!= ( polyno1057396216e_CN_a @ SV154 @ SY585 @ SY586 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(810,plain,
! [SV155: nat,SV47: a] :
( ( ( ( polyno439679028le_C_a @ SV47 )
!= ( polyno2024845497ound_a @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(811,plain,
! [SV156: polyno727731844poly_a,SV48: nat] :
( ( ! [SY587: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ SV48 )
!= ( polyno1491482291_Mul_a @ SV156 @ SY587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(812,plain,
! [SV157: polyno727731844poly_a,SV49: nat] :
( ( ! [SY588: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ SV49 )
!= ( polyno1623170614_Add_a @ SV157 @ SY588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(813,plain,
! [SV50: nat] :
( ( ! [SV158: nat] :
( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV158 )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(814,plain,
! [SV50: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(815,plain,
! [SV159: polyno727731844poly_a,SV51: a] :
( ( ! [SY589: nat,SY590: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV51 @ ( polyno1057396216e_CN_a @ SV159 @ SY589 @ SY590 ) )
= ( polyno1057396216e_CN_a @ ( polyno562434098cmul_a @ SV51 @ SV159 ) @ SY589 @ ( polyno562434098cmul_a @ SV51 @ SY590 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(816,plain,
! [SV160: a,SV52: a] :
( ( ( polyno562434098cmul_a @ SV52 @ ( polyno439679028le_C_a @ SV160 ) )
= ( polyno439679028le_C_a @ ( times_times_a @ SV52 @ SV160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(817,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV161 )
= ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(818,plain,
! [SV162: nat,SV56: polyno727731844poly_a] :
( ( ! [SY591: polyno727731844poly_a,SY592: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV56 @ SV162 @ SY591 ) @ ( polyno2024845497ound_a @ SY592 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV56 @ SV162 @ SY591 ) @ ( polyno2024845497ound_a @ SY592 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(819,plain,
! [SV163: polyno727731844poly_a,SV57: nat] :
( ( ! [SY593: nat,SY594: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SV163 @ SY593 @ SY594 ) )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SV163 @ SY593 @ SY594 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(820,plain,
! [SV164: a,SV60: a] :
( ( ! [SY595: a] :
( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SY595 @ SV164 ) )
= ( ( SV164 = zero_zero_a )
| ( SV60 = SY595 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(821,plain,
! [SV165: a,SV61: a] :
( ( ! [SY596: a] :
( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SY596 ) )
= ( ( SV61 = zero_zero_a )
| ( SV165 = SY596 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(822,plain,
! [SV166: a,SV64: a] :
( ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(823,plain,
! [SV167: a,SV65: a] :
( ( ! [SY597: a] :
( ( times_times_a @ ( times_times_a @ SV65 @ SV167 ) @ SY597 )
= ( times_times_a @ SV65 @ ( times_times_a @ SV167 @ SY597 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(824,plain,
! [SV168: a,SV66: a] :
( ( ! [SY598: a] :
( ( times_times_a @ ( times_times_a @ SV66 @ SV168 ) @ SY598 )
= ( times_times_a @ SV66 @ ( times_times_a @ SV168 @ SY598 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(825,plain,
! [SV169: a] :
( ( ( times_times_a @ SV169 )
= ( ^ [SY599: a] : ( times_times_a @ SY599 @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(826,plain,
! [SV170: a,SV68: a] :
( ( ! [SY600: a] :
( ( times_times_a @ SV68 @ ( times_times_a @ SV170 @ SY600 ) )
= ( times_times_a @ SV170 @ ( times_times_a @ SV68 @ SY600 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(827,plain,
! [SV171: a,SV69: a] :
( ( ( ( times_times_a @ SV69 @ SV171 )
!= zero_zero_a )
| ( SV69 = zero_zero_a )
| ( SV171 = zero_zero_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(828,plain,
! [SV70: a] :
( ( ( SV70 = zero_zero_a )
= $true )
| ( ( ! [SY448: a] :
( ( SY448 = zero_zero_a )
| ( ( times_times_a @ SV70 @ SY448 )
!= zero_zero_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(829,plain,
! [SV71: a] :
( ( ( SV71 = zero_zero_a )
= $true )
| ( ( ! [SY449: a,SY450: a] :
( ( ( times_times_a @ SV71 @ SY449 )
= ( times_times_a @ SV71 @ SY450 ) )
= ( SY449 = SY450 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(830,plain,
! [SV72: a] :
( ( ( SV72 = zero_zero_a )
= $true )
| ( ( ! [SY451: a,SY452: a] :
( ( ( times_times_a @ SY451 @ SV72 )
= ( times_times_a @ SY452 @ SV72 ) )
= ( SY451 = SY452 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(831,plain,
! [SV172: a,SV75: polyno727731844poly_a] :
( ( ( polyno1397854436bst0_a @ SV75 @ ( polyno439679028le_C_a @ SV172 ) )
= ( polyno439679028le_C_a @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(832,plain,
! [SV173: polyno727731844poly_a,SV76: polyno727731844poly_a] :
( ( ! [SY601: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ SV76 @ ( polyno1491482291_Mul_a @ SV173 @ SY601 ) )
= ( polyno1491482291_Mul_a @ ( polyno1397854436bst0_a @ SV76 @ SV173 ) @ ( polyno1397854436bst0_a @ SV76 @ SY601 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(833,plain,
! [SV174: polyno727731844poly_a,SV77: polyno727731844poly_a] :
( ( ! [SY602: polyno727731844poly_a] :
( ( polyno1397854436bst0_a @ SV77 @ ( polyno1623170614_Add_a @ SV174 @ SY602 ) )
= ( polyno1623170614_Add_a @ ( polyno1397854436bst0_a @ SV77 @ SV174 ) @ ( polyno1397854436bst0_a @ SV77 @ SY602 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(834,plain,
! [SV78: a] :
( ( ! [SV175: nat] :
( ( polyno567601229eadn_a @ ( polyno439679028le_C_a @ SV78 ) @ SV175 )
= ( polyno439679028le_C_a @ SV78 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(835,plain,
! [SV78: a] :
( ( ( polyno567601229eadn_a @ ( polyno439679028le_C_a @ SV78 ) )
= ( ^ [SY458: nat] : ( polyno439679028le_C_a @ SV78 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(836,plain,
! [SV176: polyno727731844poly_a,SV79: polyno727731844poly_a] :
( ( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ SV79 @ SV176 ) )
= ( ^ [SY603: nat] : ( polyno1491482291_Mul_a @ SV79 @ SV176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(837,plain,
! [SV177: polyno727731844poly_a,SV80: polyno727731844poly_a] :
( ( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ SV80 @ SV177 ) )
= ( ^ [SY604: nat] : ( polyno1623170614_Add_a @ SV80 @ SV177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(838,plain,
! [SV81: nat] :
( ( ! [SV178: nat] :
( ( polyno567601229eadn_a @ ( polyno2024845497ound_a @ SV81 ) @ SV178 )
= ( polyno2024845497ound_a @ SV81 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[727]) ).
thf(839,plain,
! [SV81: nat] :
( ( ( polyno567601229eadn_a @ ( polyno2024845497ound_a @ SV81 ) )
= ( ^ [SY463: nat] : ( polyno2024845497ound_a @ SV81 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[727]) ).
thf(840,plain,
! [SV179: polyno727731844poly_a,SV82: list_a] :
( ( ~ ( polyno896877631f_bs_a @ SV82 @ SV179 )
| ! [SY605: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV82 @ SY605 )
| ( polyno896877631f_bs_a @ SV82 @ ( polyno1418491367ysub_a @ SV179 @ SY605 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(841,plain,
! [SV83: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV83 ) )
= $true )
| ( ( ! [SY466: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ SY466 )
| ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ SV83 @ SY466 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(842,plain,
! [SV180: nat,SV84: polyno727731844poly_a] :
( ( ! [SY606: polyno727731844poly_a] :
( ( polyno2115742616onst_a @ ( polyno1057396216e_CN_a @ SV84 @ SV180 @ SY606 ) )
= ( polyno2115742616onst_a @ SY606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(843,plain,
! [SV181: polyno727731844poly_a,SV87: polyno727731844poly_a] :
( ( ( polyno1884029055head_a @ ( polyno1491482291_Mul_a @ SV87 @ SV181 ) )
= ( polyno1491482291_Mul_a @ SV87 @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(844,plain,
! [SV182: polyno727731844poly_a,SV88: polyno727731844poly_a] :
( ( ( polyno1884029055head_a @ ( polyno1623170614_Add_a @ SV88 @ SV182 ) )
= ( polyno1623170614_Add_a @ SV88 @ SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(845,plain,
! [SV183: nat,SV90: polyno727731844poly_a] :
( ( ~ ( polyno1372495879olyh_a @ SV90 @ SV183 )
| ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ SV90 ) @ SV183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(846,plain,
! [SV184: nat,SV91: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(847,plain,
! [SV185: a,SV92: a] :
( ( ! [SY608: a,SY609: a] :
( ( plus_plus_a @ ( times_times_a @ SV92 @ SV185 ) @ ( plus_plus_a @ ( times_times_a @ SY608 @ SV185 ) @ SY609 ) )
= ( plus_plus_a @ ( times_times_a @ ( plus_plus_a @ SV92 @ SY608 ) @ SV185 ) @ SY609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(848,plain,
! [SV186: a,SV93: a] :
( ( ! [SY610: a] :
( ( times_times_a @ ( plus_plus_a @ SV93 @ SV186 ) @ SY610 )
= ( plus_plus_a @ ( times_times_a @ SV93 @ SY610 ) @ ( times_times_a @ SV186 @ SY610 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(849,plain,
! [SV187: a,SV94: a] :
( ( ! [SY611: a] :
( ( times_times_a @ SV94 @ ( plus_plus_a @ SV187 @ SY611 ) )
= ( plus_plus_a @ ( times_times_a @ SV94 @ SV187 ) @ ( times_times_a @ SV94 @ SY611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(850,plain,
! [SV188: a,SV95: a] :
( ( ! [SY612: a] :
( ( times_times_a @ ( plus_plus_a @ SV95 @ SV188 ) @ SY612 )
= ( plus_plus_a @ ( times_times_a @ SV95 @ SY612 ) @ ( times_times_a @ SV188 @ SY612 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(851,plain,
! [SV189: a,SV96: a] :
( ( ! [SY613: a] :
( ( times_times_a @ SV96 @ ( plus_plus_a @ SV189 @ SY613 ) )
= ( plus_plus_a @ ( times_times_a @ SV96 @ SV189 ) @ ( times_times_a @ SV96 @ SY613 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(852,plain,
! [SV190: a,SV97: a] :
( ( ! [SY614: a] :
( ( times_times_a @ ( plus_plus_a @ SV97 @ SV190 ) @ SY614 )
= ( plus_plus_a @ ( times_times_a @ SV97 @ SY614 ) @ ( times_times_a @ SV190 @ SY614 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(853,plain,
! [SV191: polyno727731844poly_a,SV98: polyno727731844poly_a] :
( ( ! [SY615: polyno727731844poly_a,SY616: nat] :
( ( polyno1491482291_Mul_a @ SV98 @ SV191 )
!= ( polyno1538138524e_Pw_a @ SY615 @ SY616 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(854,plain,
! [SV192: polyno727731844poly_a,SV99: a] :
( ( ! [SY617: nat] :
( ( polyno439679028le_C_a @ SV99 )
!= ( polyno1538138524e_Pw_a @ SV192 @ SY617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(855,plain,
! [SV193: polyno727731844poly_a,SV100: list_a] :
( ( ! [SY618: polyno727731844poly_a] :
( ( polyno422358502poly_a @ SV100 @ ( polyno1623170614_Add_a @ SV193 @ SY618 ) )
= ( plus_plus_a @ ( polyno422358502poly_a @ SV100 @ SV193 ) @ ( polyno422358502poly_a @ SV100 @ SY618 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(856,plain,
! [SV194: nat,SV101: polyno727731844poly_a] :
( ( ! [SY619: polyno727731844poly_a,SY620: polyno727731844poly_a,SY621: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SY619 ) @ ( polyno1538138524e_Pw_a @ SY620 @ SY621 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SY619 ) @ ( polyno1538138524e_Pw_a @ SY620 @ SY621 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(857,plain,
! [SV195: nat,SV102: polyno727731844poly_a] :
( ( ! [SY622: polyno727731844poly_a,SY623: nat,SY624: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SY622 @ SY623 @ SY624 ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SY622 @ SY623 @ SY624 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(858,plain,
! [SV196: polyno727731844poly_a,SV103: a] :
( ( ! [SY625: nat] :
( ( polyno562434098cmul_a @ SV103 @ ( polyno1538138524e_Pw_a @ SV196 @ SY625 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV103 ) @ ( polyno1538138524e_Pw_a @ SV196 @ SY625 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(859,plain,
! [SV197: nat,SV104: polyno727731844poly_a] :
( ( ~ ( polyno1372495879olyh_a @ SV104 @ SV197 )
| ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ SV104 ) @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(860,plain,
! [SV198: a,SV105: a] :
( ( ! [SY626: a,SY627: a] :
( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SY626 @ SY627 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SY627 ) @ ( times_times_a @ SY626 @ SV198 ) ) )
= ( ( SV105 = SY626 )
| ( SV198 = SY627 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(861,plain,
! [SV199: polyno727731844poly_a,SV106: a] :
( ( ! [SY628: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV106 @ ( polyno975704247_Sub_a @ SV199 @ SY628 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV106 ) @ ( polyno975704247_Sub_a @ SV199 @ SY628 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(862,plain,
! [SV200: nat,SV107: polyno727731844poly_a] :
( ( ~ ( polyno1372495879olyh_a @ SV107 @ SV200 )
| ! [SY629: nat] : ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ SY629 @ SV107 ) @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(863,plain,
! [SV201: nat,SV108: polyno727731844poly_a] :
( ( ! [SY630: polyno727731844poly_a,SY631: polyno727731844poly_a,SY632: nat,SY633: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SY630 )
= ( polyno1057396216e_CN_a @ SY631 @ SY632 @ SY633 ) )
= ( ~ ( ~ ~ ( ( SV108 != SY631 )
| ( SV201 != SY632 ) )
| ( SY630 != SY633 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(864,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ~ ( ~ ( ( SV109 != zero_zero_a )
| ! [SY634: nat,SY635: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY634 @ SY635 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SV109 = zero_zero_a )
| ! [SY636: nat,SY637: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY636 @ SY637 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV202 ) @ SY636 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY637 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(865,plain,
! [SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ! [SY638: polyno727731844poly_a,SY639: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SY638 @ SY639 ) )
= ( ~ ( ( SV110 != SY638 )
| ( SV203 != SY639 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(866,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ~ ( ~ ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
| ~ ~ ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 ) )
| ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(867,plain,
! [SV205: a,SV112: a] :
( ( ! [SY642: a,SY643: a] :
( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SY642 != SY643 ) ) ) )
= ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SY642 ) @ ( times_times_a @ SV205 @ SY643 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SY643 ) @ ( times_times_a @ SV205 @ SY642 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(868,plain,
! [SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ! [SY644: polyno727731844poly_a,SY645: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SY644 @ SY645 ) )
= ( ~ ( ( SV113 != SY644 )
| ( SV206 != SY645 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(869,plain,
! [SV114: polyno727731844poly_a] :
( ( ( ! [SY534: nat] :
~ ( polyno1372495879olyh_a @ SV114 @ SY534 ) )
= $true )
| ( ( ~ ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
| ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) ) )
| ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(870,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX0 != zero_zero_a ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(871,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX1 != zero_zero_a ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(872,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ~ ( ~ ( ( SV115 != zero_zero_a )
| ! [SY646: nat,SY647: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY646 @ SY647 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SV115 = zero_zero_a )
| ! [SY648: nat,SY649: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY648 @ SY649 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SV207 @ ( polyno439679028le_C_a @ SV115 ) ) @ SY648 @ ( polyno1934269411ymul_a @ SY649 @ ( polyno439679028le_C_a @ SV115 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(873,plain,
( ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) ) )
= $false )
| ( ( ~ ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(874,plain,
! [SV1: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV1 )
= $false )
| ( ( ! [SY328: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ SY328 )
| ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ SV1 @ SY328 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(875,plain,
! [SV116: polyno727731844poly_a,SV2: list_a] :
( ( ( ~ ( polyno896877631f_bs_a @ SV2 @ SV116 ) )
= $true )
| ( ( ! [SY540: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV2 @ SY540 )
| ( polyno896877631f_bs_a @ SV2 @ ( polyno1934269411ymul_a @ SV116 @ SY540 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(876,plain,
! [SV208: polyno727731844poly_a,SV117: polyno727731844poly_a,SV3: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ SV3 @ ( polyno1491482291_Mul_a @ SV117 @ SV208 ) )
= ( polyno1491482291_Mul_a @ SV3 @ ( polyno1491482291_Mul_a @ SV117 @ SV208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(877,plain,
! [SV209: polyno727731844poly_a,SV118: polyno727731844poly_a,SV4: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV4 @ SV118 ) @ SV209 )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV4 @ SV118 ) @ SV209 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(878,plain,
! [SV210: polyno727731844poly_a,SV119: polyno727731844poly_a,SV5: list_a] :
( ( ( polyno422358502poly_a @ SV5 @ ( polyno1934269411ymul_a @ SV119 @ SV210 ) )
= ( times_times_a @ ( polyno422358502poly_a @ SV5 @ SV119 ) @ ( polyno422358502poly_a @ SV5 @ SV210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(879,plain,
! [SV211: polyno727731844poly_a,SV122: polyno727731844poly_a,SV8: polyno727731844poly_a] :
( ( ! [SY650: nat,SY651: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SV211 @ SY650 @ SY651 ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SV211 @ SY650 @ SY651 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(880,plain,
! [SV212: polyno727731844poly_a,SV123: nat,SV9: polyno727731844poly_a] :
( ( ! [SY652: polyno727731844poly_a,SY653: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SV212 ) @ ( polyno1491482291_Mul_a @ SY652 @ SY653 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SV212 ) @ ( polyno1491482291_Mul_a @ SY652 @ SY653 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(881,plain,
! [SV213: polyno727731844poly_a,SV124: polyno727731844poly_a,SV10: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ SV10 @ ( polyno1623170614_Add_a @ SV124 @ SV213 ) )
= ( polyno1491482291_Mul_a @ SV10 @ ( polyno1623170614_Add_a @ SV124 @ SV213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(882,plain,
! [SV214: polyno727731844poly_a,SV125: polyno727731844poly_a,SV11: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV11 @ SV125 ) @ SV214 )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV11 @ SV125 ) @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(883,plain,
! [SV215: nat,SV128: polyno727731844poly_a,SV14: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ SV14 @ ( polyno1538138524e_Pw_a @ SV128 @ SV215 ) )
= ( polyno1491482291_Mul_a @ SV14 @ ( polyno1538138524e_Pw_a @ SV128 @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(884,plain,
! [SV216: polyno727731844poly_a,SV129: nat,SV15: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV15 @ SV129 ) @ SV216 )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV15 @ SV129 ) @ SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(885,plain,
! [SV217: polyno727731844poly_a,SV130: polyno727731844poly_a,SV16: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno975704247_Sub_a @ SV16 @ SV130 ) @ SV217 )
= ( polyno1491482291_Mul_a @ ( polyno975704247_Sub_a @ SV16 @ SV130 ) @ SV217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(886,plain,
! [SV131: a,SV17: a] :
( ( ~ ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 = SV131 ) )
| ~ ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 != SV131 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[781]) ).
thf(887,plain,
! [SV131: a,SV17: a] :
( ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= ( SV17 = SV131 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[781]) ).
thf(888,plain,
! [SV218: polyno727731844poly_a,SV133: polyno727731844poly_a,SV19: list_a] :
( ( ( polyno422358502poly_a @ SV19 @ ( polyno1491482291_Mul_a @ SV133 @ SV218 ) )
= ( times_times_a @ ( polyno422358502poly_a @ SV19 @ SV133 ) @ ( polyno422358502poly_a @ SV19 @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(889,plain,
! [SV219: polyno727731844poly_a,SV135: polyno727731844poly_a,SV21: polyno727731844poly_a] :
( ( ! [SY654: nat,SY655: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ SV21 @ SV135 )
!= ( polyno1057396216e_CN_a @ SV219 @ SY654 @ SY655 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(890,plain,
! [SV220: polyno727731844poly_a,SV136: polyno727731844poly_a,SV22: polyno727731844poly_a] :
( ( ! [SY656: nat,SY657: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ SV22 @ SV136 )
!= ( polyno1057396216e_CN_a @ SV220 @ SY656 @ SY657 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(891,plain,
! [SV221: polyno727731844poly_a,SV137: polyno727731844poly_a,SV23: polyno727731844poly_a] :
( ( ! [SY658: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ SV23 @ SV137 )
!= ( polyno1491482291_Mul_a @ SV221 @ SY658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(892,plain,
! [SV222: nat,SV138: polyno727731844poly_a,SV24: a] :
( ( ! [SY659: polyno727731844poly_a] :
( ( polyno439679028le_C_a @ SV24 )
!= ( polyno1057396216e_CN_a @ SV138 @ SV222 @ SY659 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(893,plain,
! [SV223: polyno727731844poly_a,SV139: polyno727731844poly_a,SV25: a] :
( ( ( ( polyno439679028le_C_a @ SV25 )
!= ( polyno1491482291_Mul_a @ SV139 @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(894,plain,
! [SV224: polyno727731844poly_a,SV140: polyno727731844poly_a,SV26: a] :
( ( ( ( polyno439679028le_C_a @ SV26 )
!= ( polyno1623170614_Add_a @ SV140 @ SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(895,plain,
! [SV225: polyno727731844poly_a,SV141: polyno727731844poly_a,SV27: polyno727731844poly_a] :
( ( ! [SY660: nat,SY661: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SV225 @ SY660 @ SY661 ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SV225 @ SY660 @ SY661 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(896,plain,
! [SV226: polyno727731844poly_a,SV142: nat,SV28: polyno727731844poly_a] :
( ( ! [SY662: polyno727731844poly_a,SY663: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SV226 ) @ ( polyno1623170614_Add_a @ SY662 @ SY663 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SV226 ) @ ( polyno1623170614_Add_a @ SY662 @ SY663 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(897,plain,
! [SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ! [SV227: nat] :
( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV227 )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(898,plain,
! [SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(899,plain,
! [SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ! [SV228: nat] :
( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV228 )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(900,plain,
! [SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(901,plain,
! [SV229: nat,SV31: a] :
( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(902,plain,
! [SV146: nat,SV34: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV34 @ SV146 ) )
= $true )
| ( ( ! [SY396: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY396 @ N1 )
| ( ( ! [SY398: list_a] :
( ( polyno422358502poly_a @ SY398 @ SV34 )
= ( polyno422358502poly_a @ SY398 @ SY396 ) ) )
= ( SV34 = SY396 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(903,plain,
! [SV230: polyno727731844poly_a,SV147: a,SV35: list_a] :
( ( ( polyno422358502poly_a @ SV35 @ ( polyno562434098cmul_a @ SV147 @ SV230 ) )
= ( polyno422358502poly_a @ SV35 @ ( polyno1491482291_Mul_a @ ( polyno439679028le_C_a @ SV147 ) @ SV230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(904,plain,
! [SV231: nat,SV36: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV36 @ SV231 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ SV36 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(905,plain,
! [SV232: nat,SV37: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV37 @ SV232 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ SV37 @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(906,plain,
! [SV233: nat,SV38: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV38 @ SV233 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ SV38 )
= SV38 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(907,plain,
! [SV234: nat,SV39: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV39 @ SV234 ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ SV39 @ ( polyno439679028le_C_a @ one_one_a ) )
= SV39 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(908,plain,
! [SV235: polyno727731844poly_a,SV148: nat,SV40: polyno727731844poly_a] :
( ( ( polyno955999183nate_a @ ( polyno1057396216e_CN_a @ SV40 @ SV148 @ SV235 ) )
= ( polyno955999183nate_a @ ( polyno1623170614_Add_a @ SV40 @ ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV148 ) @ SV235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(909,plain,
! [SV149: nat,SV41: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV41 @ SV149 ) )
= $true )
| ( ( ! [SY408: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY408 @ N1 )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SY408 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SY408
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(910,plain,
! [SV236: polyno727731844poly_a,SV150: polyno727731844poly_a,SV42: a] :
( ( ( polyno562434098cmul_a @ SV42 @ ( polyno1623170614_Add_a @ SV150 @ SV236 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV42 ) @ ( polyno1623170614_Add_a @ SV150 @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(911,plain,
! [SV237: polyno727731844poly_a,SV151: polyno727731844poly_a,SV43: a] :
( ( ( polyno562434098cmul_a @ SV43 @ ( polyno1491482291_Mul_a @ SV151 @ SV237 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV43 ) @ ( polyno1491482291_Mul_a @ SV151 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(912,plain,
! [SV152: nat,SV44: nat] :
( ( ~ ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 = SV152 ) )
| ~ ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 != SV152 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[807]) ).
thf(913,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= ( SV44 = SV152 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[807]) ).
thf(914,plain,
! [SV238: nat,SV154: polyno727731844poly_a,SV46: nat] :
( ( ! [SY664: polyno727731844poly_a] :
( ( polyno2024845497ound_a @ SV46 )
!= ( polyno1057396216e_CN_a @ SV154 @ SV238 @ SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(915,plain,
! [SV155: nat,SV47: a] :
( ( ( polyno439679028le_C_a @ SV47 )
= ( polyno2024845497ound_a @ SV155 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(916,plain,
! [SV239: polyno727731844poly_a,SV156: polyno727731844poly_a,SV48: nat] :
( ( ( ( polyno2024845497ound_a @ SV48 )
!= ( polyno1491482291_Mul_a @ SV156 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(917,plain,
! [SV240: polyno727731844poly_a,SV157: polyno727731844poly_a,SV49: nat] :
( ( ( ( polyno2024845497ound_a @ SV49 )
!= ( polyno1623170614_Add_a @ SV157 @ SV240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(918,plain,
! [SV241: nat,SV50: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(919,plain,
! [SV242: nat,SV159: polyno727731844poly_a,SV51: a] :
( ( ! [SY665: polyno727731844poly_a] :
( ( polyno562434098cmul_a @ SV51 @ ( polyno1057396216e_CN_a @ SV159 @ SV242 @ SY665 ) )
= ( polyno1057396216e_CN_a @ ( polyno562434098cmul_a @ SV51 @ SV159 ) @ SV242 @ ( polyno562434098cmul_a @ SV51 @ SY665 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(920,plain,
! [SV161: polyno727731844poly_a] :
( ( ~ ( ( polyno190918219poly_a @ SV161 )
| ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
| ~ ( ~ ( polyno190918219poly_a @ SV161 )
| ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[817]) ).
thf(921,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV161 )
= ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[817]) ).
thf(922,plain,
! [SV243: polyno727731844poly_a,SV162: nat,SV56: polyno727731844poly_a] :
( ( ! [SY666: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV56 @ SV162 @ SV243 ) @ ( polyno2024845497ound_a @ SY666 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV56 @ SV162 @ SV243 ) @ ( polyno2024845497ound_a @ SY666 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(923,plain,
! [SV244: nat,SV163: polyno727731844poly_a,SV57: nat] :
( ( ! [SY667: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SV163 @ SV244 @ SY667 ) )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SV163 @ SV244 @ SY667 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(924,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(925,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(926,plain,
! [SV166: a,SV64: a] :
( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
| ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) )
| ~ ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[822]) ).
thf(927,plain,
! [SV166: a,SV64: a] :
( ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[822]) ).
thf(928,plain,
! [SV247: a,SV167: a,SV65: a] :
( ( ( times_times_a @ ( times_times_a @ SV65 @ SV167 ) @ SV247 )
= ( times_times_a @ SV65 @ ( times_times_a @ SV167 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(929,plain,
! [SV248: a,SV168: a,SV66: a] :
( ( ( times_times_a @ ( times_times_a @ SV66 @ SV168 ) @ SV248 )
= ( times_times_a @ SV66 @ ( times_times_a @ SV168 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(930,plain,
! [SV169: a] :
( ( ! [SV249: a] :
( ( times_times_a @ SV169 @ SV249 )
= ( times_times_a @ SV249 @ SV169 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[825]) ).
thf(931,plain,
! [SV169: a] :
( ( ( times_times_a @ SV169 )
= ( ^ [SY599: a] : ( times_times_a @ SY599 @ SV169 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[825]) ).
thf(932,plain,
! [SV250: a,SV170: a,SV68: a] :
( ( ( times_times_a @ SV68 @ ( times_times_a @ SV170 @ SV250 ) )
= ( times_times_a @ SV170 @ ( times_times_a @ SV68 @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(933,plain,
! [SV171: a,SV69: a] :
( ( ( ( ( times_times_a @ SV69 @ SV171 )
!= zero_zero_a ) )
= $true )
| ( ( ( SV69 = zero_zero_a )
| ( SV171 = zero_zero_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(934,plain,
! [SV70: a,SV251: a] :
( ( ( ( SV251 = zero_zero_a )
| ( ( times_times_a @ SV70 @ SV251 )
!= zero_zero_a ) )
= $true )
| ( ( SV70 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(935,plain,
! [SV252: a,SV71: a] :
( ( ( ! [SY668: a] :
( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SY668 ) )
= ( SV252 = SY668 ) ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(936,plain,
! [SV72: a,SV253: a] :
( ( ( ! [SY669: a] :
( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SY669 @ SV72 ) )
= ( SV253 = SY669 ) ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(937,plain,
! [SV254: polyno727731844poly_a,SV173: polyno727731844poly_a,SV76: polyno727731844poly_a] :
( ( ( polyno1397854436bst0_a @ SV76 @ ( polyno1491482291_Mul_a @ SV173 @ SV254 ) )
= ( polyno1491482291_Mul_a @ ( polyno1397854436bst0_a @ SV76 @ SV173 ) @ ( polyno1397854436bst0_a @ SV76 @ SV254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(938,plain,
! [SV255: polyno727731844poly_a,SV174: polyno727731844poly_a,SV77: polyno727731844poly_a] :
( ( ( polyno1397854436bst0_a @ SV77 @ ( polyno1623170614_Add_a @ SV174 @ SV255 ) )
= ( polyno1623170614_Add_a @ ( polyno1397854436bst0_a @ SV77 @ SV174 ) @ ( polyno1397854436bst0_a @ SV77 @ SV255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(939,plain,
! [SV256: nat,SV78: a] :
( ( ( polyno567601229eadn_a @ ( polyno439679028le_C_a @ SV78 ) @ SV256 )
= ( polyno439679028le_C_a @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(940,plain,
! [SV176: polyno727731844poly_a,SV79: polyno727731844poly_a] :
( ( ! [SV257: nat] :
( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ SV79 @ SV176 ) @ SV257 )
= ( polyno1491482291_Mul_a @ SV79 @ SV176 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[836]) ).
thf(941,plain,
! [SV176: polyno727731844poly_a,SV79: polyno727731844poly_a] :
( ( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ SV79 @ SV176 ) )
= ( ^ [SY603: nat] : ( polyno1491482291_Mul_a @ SV79 @ SV176 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[836]) ).
thf(942,plain,
! [SV177: polyno727731844poly_a,SV80: polyno727731844poly_a] :
( ( ! [SV258: nat] :
( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ SV80 @ SV177 ) @ SV258 )
= ( polyno1623170614_Add_a @ SV80 @ SV177 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[837]) ).
thf(943,plain,
! [SV177: polyno727731844poly_a,SV80: polyno727731844poly_a] :
( ( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ SV80 @ SV177 ) )
= ( ^ [SY604: nat] : ( polyno1623170614_Add_a @ SV80 @ SV177 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[837]) ).
thf(944,plain,
! [SV259: nat,SV81: nat] :
( ( ( polyno567601229eadn_a @ ( polyno2024845497ound_a @ SV81 ) @ SV259 )
= ( polyno2024845497ound_a @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(945,plain,
! [SV179: polyno727731844poly_a,SV82: list_a] :
( ( ( ~ ( polyno896877631f_bs_a @ SV82 @ SV179 ) )
= $true )
| ( ( ! [SY605: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV82 @ SY605 )
| ( polyno896877631f_bs_a @ SV82 @ ( polyno1418491367ysub_a @ SV179 @ SY605 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(946,plain,
! [SV83: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV83 )
= $false )
| ( ( ! [SY466: polyno727731844poly_a] :
( ~ ( polyno190918219poly_a @ SY466 )
| ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ SV83 @ SY466 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(947,plain,
! [SV260: polyno727731844poly_a,SV180: nat,SV84: polyno727731844poly_a] :
( ( ( polyno2115742616onst_a @ ( polyno1057396216e_CN_a @ SV84 @ SV180 @ SV260 ) )
= ( polyno2115742616onst_a @ SV260 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(948,plain,
! [SV183: nat,SV90: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV90 @ SV183 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ SV90 ) @ SV183 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(949,plain,
! [SV184: nat,SV91: polyno727731844poly_a] :
( ( ! [SV261: nat] :
( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV261 )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(950,plain,
! [SV184: nat,SV91: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) )
= ( ^ [K: nat] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(951,plain,
! [SV262: a,SV185: a,SV92: a] :
( ( ! [SY670: a] :
( ( plus_plus_a @ ( times_times_a @ SV92 @ SV185 ) @ ( plus_plus_a @ ( times_times_a @ SV262 @ SV185 ) @ SY670 ) )
= ( plus_plus_a @ ( times_times_a @ ( plus_plus_a @ SV92 @ SV262 ) @ SV185 ) @ SY670 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(952,plain,
! [SV263: a,SV186: a,SV93: a] :
( ( ( times_times_a @ ( plus_plus_a @ SV93 @ SV186 ) @ SV263 )
= ( plus_plus_a @ ( times_times_a @ SV93 @ SV263 ) @ ( times_times_a @ SV186 @ SV263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(953,plain,
! [SV264: a,SV187: a,SV94: a] :
( ( ( times_times_a @ SV94 @ ( plus_plus_a @ SV187 @ SV264 ) )
= ( plus_plus_a @ ( times_times_a @ SV94 @ SV187 ) @ ( times_times_a @ SV94 @ SV264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(954,plain,
! [SV265: a,SV188: a,SV95: a] :
( ( ( times_times_a @ ( plus_plus_a @ SV95 @ SV188 ) @ SV265 )
= ( plus_plus_a @ ( times_times_a @ SV95 @ SV265 ) @ ( times_times_a @ SV188 @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(955,plain,
! [SV266: a,SV189: a,SV96: a] :
( ( ( times_times_a @ SV96 @ ( plus_plus_a @ SV189 @ SV266 ) )
= ( plus_plus_a @ ( times_times_a @ SV96 @ SV189 ) @ ( times_times_a @ SV96 @ SV266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(956,plain,
! [SV267: a,SV190: a,SV97: a] :
( ( ( times_times_a @ ( plus_plus_a @ SV97 @ SV190 ) @ SV267 )
= ( plus_plus_a @ ( times_times_a @ SV97 @ SV267 ) @ ( times_times_a @ SV190 @ SV267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(957,plain,
! [SV268: polyno727731844poly_a,SV191: polyno727731844poly_a,SV98: polyno727731844poly_a] :
( ( ! [SY671: nat] :
( ( polyno1491482291_Mul_a @ SV98 @ SV191 )
!= ( polyno1538138524e_Pw_a @ SV268 @ SY671 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(958,plain,
! [SV269: nat,SV192: polyno727731844poly_a,SV99: a] :
( ( ( ( polyno439679028le_C_a @ SV99 )
!= ( polyno1538138524e_Pw_a @ SV192 @ SV269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(959,plain,
! [SV270: polyno727731844poly_a,SV193: polyno727731844poly_a,SV100: list_a] :
( ( ( polyno422358502poly_a @ SV100 @ ( polyno1623170614_Add_a @ SV193 @ SV270 ) )
= ( plus_plus_a @ ( polyno422358502poly_a @ SV100 @ SV193 ) @ ( polyno422358502poly_a @ SV100 @ SV270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(960,plain,
! [SV271: polyno727731844poly_a,SV194: nat,SV101: polyno727731844poly_a] :
( ( ! [SY672: polyno727731844poly_a,SY673: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SV271 ) @ ( polyno1538138524e_Pw_a @ SY672 @ SY673 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SV271 ) @ ( polyno1538138524e_Pw_a @ SY672 @ SY673 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(961,plain,
! [SV272: polyno727731844poly_a,SV195: nat,SV102: polyno727731844poly_a] :
( ( ! [SY674: nat,SY675: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SV272 @ SY674 @ SY675 ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SV272 @ SY674 @ SY675 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(962,plain,
! [SV273: nat,SV196: polyno727731844poly_a,SV103: a] :
( ( ( polyno562434098cmul_a @ SV103 @ ( polyno1538138524e_Pw_a @ SV196 @ SV273 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV103 ) @ ( polyno1538138524e_Pw_a @ SV196 @ SV273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(963,plain,
! [SV197: nat,SV104: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV104 @ SV197 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ SV104 ) @ SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(964,plain,
! [SV274: a,SV198: a,SV105: a] :
( ( ! [SY676: a] :
( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SY676 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SY676 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= ( ( SV105 = SV274 )
| ( SV198 = SY676 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(965,plain,
! [SV275: polyno727731844poly_a,SV199: polyno727731844poly_a,SV106: a] :
( ( ( polyno562434098cmul_a @ SV106 @ ( polyno975704247_Sub_a @ SV199 @ SV275 ) )
= ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV106 ) @ ( polyno975704247_Sub_a @ SV199 @ SV275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(966,plain,
! [SV200: nat,SV107: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV107 @ SV200 ) )
= $true )
| ( ( ! [SY629: nat] : ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ SY629 @ SV107 ) @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(967,plain,
! [SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ! [SY677: polyno727731844poly_a,SY678: nat,SY679: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SY677 @ SY678 @ SY679 ) )
= ( ~ ( ~ ~ ( ( SV108 != SY677 )
| ( SV201 != SY678 ) )
| ( SV276 != SY679 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(968,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ~ ( ( SV109 != zero_zero_a )
| ! [SY634: nat,SY635: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY634 @ SY635 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SV109 = zero_zero_a )
| ! [SY636: nat,SY637: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY636 @ SY637 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV202 ) @ SY636 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY637 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(969,plain,
! [SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ! [SY680: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SY680 ) )
= ( ~ ( ( SV110 != SV277 )
| ( SV203 != SY680 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(970,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
| ~ ~ ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 ) ) )
= $true )
| ( ( ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(971,plain,
! [SV278: a,SV205: a,SV112: a] :
( ( ! [SY681: a] :
( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SY681 ) ) ) )
= ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SY681 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SY681 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(972,plain,
! [SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ! [SY682: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SY682 ) )
= ( ~ ( ( SV113 != SV279 )
| ( SV206 != SY682 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(973,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV114 @ SV280 ) )
= $true )
| ( ( ~ ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
| ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) ) )
| ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(974,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX0 != zero_zero_a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(975,plain,
( ( ! [SX0: a,SX1: a] :
( ( ( times_times_a @ SX0 @ SX1 )
= zero_zero_a )
| ( SX1 != zero_zero_a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(976,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ~ ( ( SV115 != zero_zero_a )
| ! [SY646: nat,SY647: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY646 @ SY647 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( SV115 = zero_zero_a )
| ! [SY648: nat,SY649: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY648 @ SY649 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SV207 @ ( polyno439679028le_C_a @ SV115 ) ) @ SY648 @ ( polyno1934269411ymul_a @ SY649 @ ( polyno439679028le_C_a @ SV115 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(977,plain,
( ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $false )
| ( ( ~ ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(978,plain,
( ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false )
| ( ( ~ ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(979,plain,
! [SV1: polyno727731844poly_a,SV281: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV281 )
| ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ SV1 @ SV281 ) ) )
= $true )
| ( ( polyno190918219poly_a @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(980,plain,
! [SV116: polyno727731844poly_a,SV2: list_a] :
( ( ( polyno896877631f_bs_a @ SV2 @ SV116 )
= $false )
| ( ( ! [SY540: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV2 @ SY540 )
| ( polyno896877631f_bs_a @ SV2 @ ( polyno1934269411ymul_a @ SV116 @ SY540 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(981,plain,
! [SV282: nat,SV211: polyno727731844poly_a,SV122: polyno727731844poly_a,SV8: polyno727731844poly_a] :
( ( ! [SY683: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SV211 @ SV282 @ SY683 ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SV211 @ SV282 @ SY683 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(982,plain,
! [SV283: polyno727731844poly_a,SV212: polyno727731844poly_a,SV123: nat,SV9: polyno727731844poly_a] :
( ( ! [SY684: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SV212 ) @ ( polyno1491482291_Mul_a @ SV283 @ SY684 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SV212 ) @ ( polyno1491482291_Mul_a @ SV283 @ SY684 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(983,plain,
! [SV131: a,SV17: a] :
( ( ( ~ ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 = SV131 ) ) )
= $true )
| ( ( ~ ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 != SV131 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(984,plain,
! [SV284: nat,SV219: polyno727731844poly_a,SV135: polyno727731844poly_a,SV21: polyno727731844poly_a] :
( ( ! [SY685: polyno727731844poly_a] :
( ( polyno1491482291_Mul_a @ SV21 @ SV135 )
!= ( polyno1057396216e_CN_a @ SV219 @ SV284 @ SY685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(985,plain,
! [SV285: nat,SV220: polyno727731844poly_a,SV136: polyno727731844poly_a,SV22: polyno727731844poly_a] :
( ( ! [SY686: polyno727731844poly_a] :
( ( polyno1623170614_Add_a @ SV22 @ SV136 )
!= ( polyno1057396216e_CN_a @ SV220 @ SV285 @ SY686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(986,plain,
! [SV286: polyno727731844poly_a,SV221: polyno727731844poly_a,SV137: polyno727731844poly_a,SV23: polyno727731844poly_a] :
( ( ( ( polyno1623170614_Add_a @ SV23 @ SV137 )
!= ( polyno1491482291_Mul_a @ SV221 @ SV286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(987,plain,
! [SV287: polyno727731844poly_a,SV222: nat,SV138: polyno727731844poly_a,SV24: a] :
( ( ( ( polyno439679028le_C_a @ SV24 )
!= ( polyno1057396216e_CN_a @ SV138 @ SV222 @ SV287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(988,plain,
! [SV223: polyno727731844poly_a,SV139: polyno727731844poly_a,SV25: a] :
( ( ( polyno439679028le_C_a @ SV25 )
= ( polyno1491482291_Mul_a @ SV139 @ SV223 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(989,plain,
! [SV224: polyno727731844poly_a,SV140: polyno727731844poly_a,SV26: a] :
( ( ( polyno439679028le_C_a @ SV26 )
= ( polyno1623170614_Add_a @ SV140 @ SV224 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(990,plain,
! [SV288: nat,SV225: polyno727731844poly_a,SV141: polyno727731844poly_a,SV27: polyno727731844poly_a] :
( ( ! [SY687: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SV225 @ SV288 @ SY687 ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SV225 @ SV288 @ SY687 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(991,plain,
! [SV289: polyno727731844poly_a,SV226: polyno727731844poly_a,SV142: nat,SV28: polyno727731844poly_a] :
( ( ! [SY688: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SV226 ) @ ( polyno1623170614_Add_a @ SV289 @ SY688 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SV226 ) @ ( polyno1623170614_Add_a @ SV289 @ SY688 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(992,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(993,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(994,plain,
! [SV229: nat,SV31: a] :
( ( ~ ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| $true )
| ~ ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| ~ $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[901]) ).
thf(995,plain,
! [SV229: nat,SV31: a] :
( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $true )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[901]) ).
thf(996,plain,
! [SV146: nat,SV34: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false )
| ( ( ! [SY396: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY396 @ N1 )
| ( ( ! [SY398: list_a] :
( ( polyno422358502poly_a @ SY398 @ SV34 )
= ( polyno422358502poly_a @ SY398 @ SY396 ) ) )
= ( SV34 = SY396 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(997,plain,
! [SV231: nat,SV36: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV36 @ SV231 )
= $false )
| ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ zero_zero_a ) @ SV36 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(998,plain,
! [SV232: nat,SV37: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV37 @ SV232 )
= $false )
| ( ( ( polyno1934269411ymul_a @ SV37 @ ( polyno439679028le_C_a @ zero_zero_a ) )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(999,plain,
! [SV233: nat,SV38: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV38 @ SV233 )
= $false )
| ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ one_one_a ) @ SV38 )
= SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(1000,plain,
! [SV234: nat,SV39: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV39 @ SV234 )
= $false )
| ( ( ( polyno1934269411ymul_a @ SV39 @ ( polyno439679028le_C_a @ one_one_a ) )
= SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(1001,plain,
! [SV149: nat,SV41: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false )
| ( ( ! [SY408: polyno727731844poly_a] :
( ! [N1: nat] :
~ ( polyno1372495879olyh_a @ SY408 @ N1 )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SY408 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SY408
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(1002,plain,
! [SV152: nat,SV44: nat] :
( ( ( ~ ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 = SV152 ) ) )
= $true )
| ( ( ~ ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 != SV152 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(1003,plain,
! [SV292: polyno727731844poly_a,SV238: nat,SV154: polyno727731844poly_a,SV46: nat] :
( ( ( ( polyno2024845497ound_a @ SV46 )
!= ( polyno1057396216e_CN_a @ SV154 @ SV238 @ SV292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1004,plain,
! [SV239: polyno727731844poly_a,SV156: polyno727731844poly_a,SV48: nat] :
( ( ( polyno2024845497ound_a @ SV48 )
= ( polyno1491482291_Mul_a @ SV156 @ SV239 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1005,plain,
! [SV240: polyno727731844poly_a,SV157: polyno727731844poly_a,SV49: nat] :
( ( ( polyno2024845497ound_a @ SV49 )
= ( polyno1623170614_Add_a @ SV157 @ SV240 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(1006,plain,
! [SV241: nat,SV50: nat] :
( ( ~ ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| $false )
| ~ ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(1007,plain,
! [SV241: nat,SV50: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(1008,plain,
! [SV293: polyno727731844poly_a,SV242: nat,SV159: polyno727731844poly_a,SV51: a] :
( ( ( polyno562434098cmul_a @ SV51 @ ( polyno1057396216e_CN_a @ SV159 @ SV242 @ SV293 ) )
= ( polyno1057396216e_CN_a @ ( polyno562434098cmul_a @ SV51 @ SV159 ) @ SV242 @ ( polyno562434098cmul_a @ SV51 @ SV293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1009,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ~ ( ( polyno190918219poly_a @ SV161 )
| ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ~ ( polyno190918219poly_a @ SV161 )
| ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(1010,plain,
! [SV294: nat,SV243: polyno727731844poly_a,SV162: nat,SV56: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV56 @ SV162 @ SV243 ) @ ( polyno2024845497ound_a @ SV294 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV56 @ SV162 @ SV243 ) @ ( polyno2024845497ound_a @ SV294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1011,plain,
! [SV295: polyno727731844poly_a,SV244: nat,SV163: polyno727731844poly_a,SV57: nat] :
( ( ( polyno1934269411ymul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SV163 @ SV244 @ SV295 ) )
= ( polyno1491482291_Mul_a @ ( polyno2024845497ound_a @ SV57 ) @ ( polyno1057396216e_CN_a @ SV163 @ SV244 @ SV295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1012,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
| ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) )
| ~ ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(1013,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(1014,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
| ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) )
| ~ ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(1015,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(1016,plain,
! [SV166: a,SV64: a] :
( ( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
| ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $true )
| ( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1017,plain,
! [SV296: a,SV169: a] :
( ( ( times_times_a @ SV169 @ SV296 )
= ( times_times_a @ SV296 @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1018,plain,
! [SV171: a,SV69: a] :
( ( ( ( times_times_a @ SV69 @ SV171 )
= zero_zero_a )
= $false )
| ( ( ( SV69 = zero_zero_a )
| ( SV171 = zero_zero_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1019,plain,
! [SV70: a,SV251: a] :
( ( ( SV251 = zero_zero_a )
= $true )
| ( ( ( ( times_times_a @ SV70 @ SV251 )
!= zero_zero_a ) )
= $true )
| ( ( SV70 = zero_zero_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1020,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= ( SV252 = SV297 ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1021,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= ( SV253 = SV298 ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1022,plain,
! [SV299: nat,SV176: polyno727731844poly_a,SV79: polyno727731844poly_a] :
( ( ( polyno567601229eadn_a @ ( polyno1491482291_Mul_a @ SV79 @ SV176 ) @ SV299 )
= ( polyno1491482291_Mul_a @ SV79 @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1023,plain,
! [SV300: nat,SV177: polyno727731844poly_a,SV80: polyno727731844poly_a] :
( ( ( polyno567601229eadn_a @ ( polyno1623170614_Add_a @ SV80 @ SV177 ) @ SV300 )
= ( polyno1623170614_Add_a @ SV80 @ SV177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1024,plain,
! [SV179: polyno727731844poly_a,SV82: list_a] :
( ( ( polyno896877631f_bs_a @ SV82 @ SV179 )
= $false )
| ( ( ! [SY605: polyno727731844poly_a] :
( ~ ( polyno896877631f_bs_a @ SV82 @ SY605 )
| ( polyno896877631f_bs_a @ SV82 @ ( polyno1418491367ysub_a @ SV179 @ SY605 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1025,plain,
! [SV83: polyno727731844poly_a,SV301: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV301 )
| ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ SV83 @ SV301 ) ) )
= $true )
| ( ( polyno190918219poly_a @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1026,plain,
! [SV183: nat,SV90: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV90 @ SV183 )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1884029055head_a @ SV90 ) @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1027,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1028,plain,
! [SV303: a,SV262: a,SV185: a,SV92: a] :
( ( ( plus_plus_a @ ( times_times_a @ SV92 @ SV185 ) @ ( plus_plus_a @ ( times_times_a @ SV262 @ SV185 ) @ SV303 ) )
= ( plus_plus_a @ ( times_times_a @ ( plus_plus_a @ SV92 @ SV262 ) @ SV185 ) @ SV303 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1029,plain,
! [SV304: nat,SV268: polyno727731844poly_a,SV191: polyno727731844poly_a,SV98: polyno727731844poly_a] :
( ( ( ( polyno1491482291_Mul_a @ SV98 @ SV191 )
!= ( polyno1538138524e_Pw_a @ SV268 @ SV304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1030,plain,
! [SV269: nat,SV192: polyno727731844poly_a,SV99: a] :
( ( ( polyno439679028le_C_a @ SV99 )
= ( polyno1538138524e_Pw_a @ SV192 @ SV269 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1031,plain,
! [SV305: polyno727731844poly_a,SV271: polyno727731844poly_a,SV194: nat,SV101: polyno727731844poly_a] :
( ( ! [SY689: nat] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SV271 ) @ ( polyno1538138524e_Pw_a @ SV305 @ SY689 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SV271 ) @ ( polyno1538138524e_Pw_a @ SV305 @ SY689 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1032,plain,
! [SV306: nat,SV272: polyno727731844poly_a,SV195: nat,SV102: polyno727731844poly_a] :
( ( ! [SY690: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SV272 @ SV306 @ SY690 ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SV272 @ SV306 @ SY690 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1033,plain,
! [SV197: nat,SV104: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV104 @ SV197 )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1465139388head_a @ SV104 ) @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1034,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1035,plain,
! [SV200: nat,SV107: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV107 @ SV200 )
= $false )
| ( ( ! [SY629: nat] : ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ SY629 @ SV107 ) @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1036,plain,
! [SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ! [SY691: nat,SY692: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SY691 @ SY692 ) )
= ( ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SY691 ) )
| ( SV276 != SY692 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1037,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ~ ( ( SV109 != zero_zero_a )
| ! [SY634: nat,SY635: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY634 @ SY635 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1038,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ~ ( ( SV109 = zero_zero_a )
| ! [SY636: nat,SY637: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY636 @ SY637 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV202 ) @ SY636 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY637 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1039,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= ( ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1040,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
| ~ ~ ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 ) )
= $false )
| ( ( ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1041,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) ) )
= ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1042,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= ( ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1043,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false )
| ( ( ~ ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
| ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) ) )
| ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1044,plain,
! [SV312: a] :
( ( ! [SY693: a] :
( ( times_times_a @ SV312 @ SY693 )
= zero_zero_a )
| ( SV312 != zero_zero_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1045,plain,
! [SV313: a] :
( ( ! [SY694: a] :
( ( ( times_times_a @ SV313 @ SY694 )
= zero_zero_a )
| ( SY694 != zero_zero_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1046,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ~ ( ( SV115 != zero_zero_a )
| ! [SY646: nat,SY647: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY646 @ SY647 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1047,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ~ ( ( SV115 = zero_zero_a )
| ! [SY648: nat,SY649: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY648 @ SY649 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SV207 @ ( polyno439679028le_C_a @ SV115 ) ) @ SY648 @ ( polyno1934269411ymul_a @ SY649 @ ( polyno439679028le_C_a @ SV115 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1048,plain,
( ( ( ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $false )
| ( ( ~ ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[977]) ).
thf(1049,plain,
( ( ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) )
= $false )
| ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1050,plain,
! [SV1: polyno727731844poly_a,SV281: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV281 ) )
= $true )
| ( ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ SV1 @ SV281 ) )
= $true )
| ( ( polyno190918219poly_a @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1051,plain,
! [SV116: polyno727731844poly_a,SV314: polyno727731844poly_a,SV2: list_a] :
( ( ( ~ ( polyno896877631f_bs_a @ SV2 @ SV314 )
| ( polyno896877631f_bs_a @ SV2 @ ( polyno1934269411ymul_a @ SV116 @ SV314 ) ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV2 @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1052,plain,
! [SV315: polyno727731844poly_a,SV282: nat,SV211: polyno727731844poly_a,SV122: polyno727731844poly_a,SV8: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SV211 @ SV282 @ SV315 ) )
= ( polyno1491482291_Mul_a @ ( polyno1491482291_Mul_a @ SV8 @ SV122 ) @ ( polyno1057396216e_CN_a @ SV211 @ SV282 @ SV315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1053,plain,
! [SV316: polyno727731844poly_a,SV283: polyno727731844poly_a,SV212: polyno727731844poly_a,SV123: nat,SV9: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SV212 ) @ ( polyno1491482291_Mul_a @ SV283 @ SV316 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV9 @ SV123 @ SV212 ) @ ( polyno1491482291_Mul_a @ SV283 @ SV316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1054,plain,
! [SV131: a,SV17: a] :
( ( ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 = SV131 ) )
= $false )
| ( ( ~ ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 != SV131 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1055,plain,
! [SV317: polyno727731844poly_a,SV284: nat,SV219: polyno727731844poly_a,SV135: polyno727731844poly_a,SV21: polyno727731844poly_a] :
( ( ( ( polyno1491482291_Mul_a @ SV21 @ SV135 )
!= ( polyno1057396216e_CN_a @ SV219 @ SV284 @ SV317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1056,plain,
! [SV318: polyno727731844poly_a,SV285: nat,SV220: polyno727731844poly_a,SV136: polyno727731844poly_a,SV22: polyno727731844poly_a] :
( ( ( ( polyno1623170614_Add_a @ SV22 @ SV136 )
!= ( polyno1057396216e_CN_a @ SV220 @ SV285 @ SV318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1057,plain,
! [SV286: polyno727731844poly_a,SV221: polyno727731844poly_a,SV137: polyno727731844poly_a,SV23: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ SV23 @ SV137 )
= ( polyno1491482291_Mul_a @ SV221 @ SV286 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1058,plain,
! [SV287: polyno727731844poly_a,SV222: nat,SV138: polyno727731844poly_a,SV24: a] :
( ( ( polyno439679028le_C_a @ SV24 )
= ( polyno1057396216e_CN_a @ SV138 @ SV222 @ SV287 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1059,plain,
! [SV319: polyno727731844poly_a,SV288: nat,SV225: polyno727731844poly_a,SV141: polyno727731844poly_a,SV27: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SV225 @ SV288 @ SV319 ) )
= ( polyno1491482291_Mul_a @ ( polyno1623170614_Add_a @ SV27 @ SV141 ) @ ( polyno1057396216e_CN_a @ SV225 @ SV288 @ SV319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1060,plain,
! [SV320: polyno727731844poly_a,SV289: polyno727731844poly_a,SV226: polyno727731844poly_a,SV142: nat,SV28: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SV226 ) @ ( polyno1623170614_Add_a @ SV289 @ SV320 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV28 @ SV142 @ SV226 ) @ ( polyno1623170614_Add_a @ SV289 @ SV320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1061,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ~ ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| $false )
| ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[992]) ).
thf(1062,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[992]) ).
thf(1063,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ~ ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| $false )
| ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[993]) ).
thf(1064,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[993]) ).
thf(1065,plain,
! [SV229: nat,SV31: a] :
( ( ( ~ ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1066,plain,
! [SV146: nat,SV34: polyno727731844poly_a,SV321: polyno727731844poly_a] :
( ( ( ! [SY695: nat] :
~ ( polyno1372495879olyh_a @ SV321 @ SY695 )
| ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= ( SV34 = SV321 ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1067,plain,
! [SV149: nat,SV41: polyno727731844poly_a,SV322: polyno727731844poly_a] :
( ( ( ! [SY697: nat] :
~ ( polyno1372495879olyh_a @ SV322 @ SY697 )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1068,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 = SV152 ) )
= $false )
| ( ( ~ ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 != SV152 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1069,plain,
! [SV292: polyno727731844poly_a,SV238: nat,SV154: polyno727731844poly_a,SV46: nat] :
( ( ( polyno2024845497ound_a @ SV46 )
= ( polyno1057396216e_CN_a @ SV154 @ SV238 @ SV292 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1070,plain,
! [SV241: nat,SV50: nat] :
( ( ( ~ ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1071,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ( polyno190918219poly_a @ SV161 )
| ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ~ ( polyno190918219poly_a @ SV161 )
| ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1072,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
| ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $true )
| ( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1073,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
| ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $true )
| ( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1074,plain,
! [SV166: a,SV64: a] :
( ( ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
| ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1075,plain,
! [SV171: a,SV69: a] :
( ( ( SV69 = zero_zero_a )
= $true )
| ( ( SV171 = zero_zero_a )
= $true )
| ( ( ( times_times_a @ SV69 @ SV171 )
= zero_zero_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1076,plain,
! [SV251: a,SV70: a] :
( ( ( ( times_times_a @ SV70 @ SV251 )
= zero_zero_a )
= $false )
| ( ( SV251 = zero_zero_a )
= $true )
| ( ( SV70 = zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1077,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ~ ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 = SV297 ) )
| ~ ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 != SV297 ) ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1020]) ).
thf(1078,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= ( SV252 = SV297 ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1020]) ).
thf(1079,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ~ ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 = SV298 ) )
| ~ ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 != SV298 ) ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1021]) ).
thf(1080,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= ( SV253 = SV298 ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1021]) ).
thf(1081,plain,
! [SV179: polyno727731844poly_a,SV323: polyno727731844poly_a,SV82: list_a] :
( ( ( ~ ( polyno896877631f_bs_a @ SV82 @ SV323 )
| ( polyno896877631f_bs_a @ SV82 @ ( polyno1418491367ysub_a @ SV179 @ SV323 ) ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV82 @ SV179 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1082,plain,
! [SV83: polyno727731844poly_a,SV301: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV301 ) )
= $true )
| ( ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ SV83 @ SV301 ) )
= $true )
| ( ( polyno190918219poly_a @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1083,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ~ ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| $false )
| ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1027]) ).
thf(1084,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1027]) ).
thf(1085,plain,
! [SV304: nat,SV268: polyno727731844poly_a,SV191: polyno727731844poly_a,SV98: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ SV98 @ SV191 )
= ( polyno1538138524e_Pw_a @ SV268 @ SV304 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1086,plain,
! [SV324: nat,SV305: polyno727731844poly_a,SV271: polyno727731844poly_a,SV194: nat,SV101: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SV271 ) @ ( polyno1538138524e_Pw_a @ SV305 @ SV324 ) )
= ( polyno1491482291_Mul_a @ ( polyno1057396216e_CN_a @ SV101 @ SV194 @ SV271 ) @ ( polyno1538138524e_Pw_a @ SV305 @ SV324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1087,plain,
! [SV325: polyno727731844poly_a,SV306: nat,SV272: polyno727731844poly_a,SV195: nat,SV102: polyno727731844poly_a] :
( ( ( polyno1934269411ymul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SV272 @ SV306 @ SV325 ) )
= ( polyno1491482291_Mul_a @ ( polyno1538138524e_Pw_a @ SV102 @ SV195 ) @ ( polyno1057396216e_CN_a @ SV272 @ SV306 @ SV325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1088,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ( SV105 = SV274 )
| ( SV198 = SV307 ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1089,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1090,plain,
! [SV200: nat,SV107: polyno727731844poly_a,SV326: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno1371724751ypow_a @ SV326 @ SV107 ) @ SV200 )
= $true )
| ( ( polyno1372495879olyh_a @ SV107 @ SV200 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1091,plain,
! [SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ! [SY698: polyno727731844poly_a] :
( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SY698 ) )
= ( ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SY698 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1092,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ( SV109 != zero_zero_a )
| ! [SY634: nat,SY635: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY634 @ SY635 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1093,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ( SV109 = zero_zero_a )
| ! [SY636: nat,SY637: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY636 @ SY637 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV202 ) @ SY636 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY637 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1094,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
| ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1039]) ).
thf(1095,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= ( ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1039]) ).
thf(1096,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 ) )
= $false )
| ( ( ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1097,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( ~ ~ ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 ) )
= $false )
| ( ( ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1098,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ~ ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1041]) ).
thf(1099,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) ) )
= ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1041]) ).
thf(1100,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
| ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1042]) ).
thf(1101,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= ( ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1042]) ).
thf(1102,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( ~ ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
| ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) ) ) )
= $true )
| ( ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1103,plain,
! [SV312: a] :
( ( ( ! [SY693: a] :
( ( times_times_a @ SV312 @ SY693 )
= zero_zero_a ) )
= $true )
| ( ( ( SV312 != zero_zero_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1104,plain,
! [SV328: a,SV313: a] :
( ( ( ( times_times_a @ SV313 @ SV328 )
= zero_zero_a )
| ( SV328 != zero_zero_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1105,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ( SV115 != zero_zero_a )
| ! [SY646: nat,SY647: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY646 @ SY647 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1106,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ( SV115 = zero_zero_a )
| ! [SY648: nat,SY649: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY648 @ SY649 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SV207 @ ( polyno439679028le_C_a @ SV115 ) ) @ SY648 @ ( polyno1934269411ymul_a @ SY649 @ ( polyno439679028le_C_a @ SV115 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1107,plain,
( ( ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
| ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) )
= $false )
| ( ( ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1108,plain,
( ( ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $false )
| ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1109,plain,
( ( ( ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) )
= $false )
| ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1110,plain,
! [SV1: polyno727731844poly_a,SV281: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV281 )
= $false )
| ( ( polyno190918219poly_a @ ( polyno1934269411ymul_a @ SV1 @ SV281 ) )
= $true )
| ( ( polyno190918219poly_a @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1111,plain,
! [SV116: polyno727731844poly_a,SV314: polyno727731844poly_a,SV2: list_a] :
( ( ( ~ ( polyno896877631f_bs_a @ SV2 @ SV314 ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV2 @ ( polyno1934269411ymul_a @ SV116 @ SV314 ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV2 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1112,plain,
! [SV131: a,SV17: a] :
( ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $false )
| ( ( ~ ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 != SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1113,plain,
! [SV131: a,SV17: a] :
( ( ( SV17 = SV131 )
= $false )
| ( ( ~ ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 != SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1114,plain,
! [SV317: polyno727731844poly_a,SV284: nat,SV219: polyno727731844poly_a,SV135: polyno727731844poly_a,SV21: polyno727731844poly_a] :
( ( ( polyno1491482291_Mul_a @ SV21 @ SV135 )
= ( polyno1057396216e_CN_a @ SV219 @ SV284 @ SV317 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1115,plain,
! [SV318: polyno727731844poly_a,SV285: nat,SV220: polyno727731844poly_a,SV136: polyno727731844poly_a,SV22: polyno727731844poly_a] :
( ( ( polyno1623170614_Add_a @ SV22 @ SV136 )
= ( polyno1057396216e_CN_a @ SV220 @ SV285 @ SV318 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1116,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( ~ ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1117,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( ~ ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1118,plain,
! [SV229: nat,SV31: a] :
( ( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| $true )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1119,plain,
! [SV146: nat,SV34: polyno727731844poly_a,SV321: polyno727731844poly_a] :
( ( ( ! [SY695: nat] :
~ ( polyno1372495879olyh_a @ SV321 @ SY695 ) )
= $true )
| ( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= ( SV34 = SV321 ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1120,plain,
! [SV149: nat,SV41: polyno727731844poly_a,SV322: polyno727731844poly_a] :
( ( ( ! [SY697: nat] :
~ ( polyno1372495879olyh_a @ SV322 @ SY697 ) )
= $true )
| ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1121,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $false )
| ( ( ~ ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 != SV152 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1122,plain,
! [SV152: nat,SV44: nat] :
( ( ( SV44 = SV152 )
= $false )
| ( ( ~ ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 != SV152 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1123,plain,
! [SV241: nat,SV50: nat] :
( ( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| $false )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1124,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV161 )
= $false )
| ( ( ~ ( ~ ( polyno190918219poly_a @ SV161 )
| ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1125,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $false )
| ( ( ~ ( ~ ( polyno190918219poly_a @ SV161 )
| ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1126,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
| ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1127,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
| ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1128,plain,
! [SV166: a,SV64: a] :
( ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1129,plain,
! [SV166: a,SV64: a] :
( ( ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1130,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ~ ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 = SV297 ) ) )
= $true )
| ( ( ~ ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 != SV297 ) ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1131,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ~ ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 = SV298 ) ) )
= $true )
| ( ( ~ ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 != SV298 ) ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1132,plain,
! [SV179: polyno727731844poly_a,SV323: polyno727731844poly_a,SV82: list_a] :
( ( ( ~ ( polyno896877631f_bs_a @ SV82 @ SV323 ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV82 @ ( polyno1418491367ysub_a @ SV179 @ SV323 ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV82 @ SV179 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1133,plain,
! [SV83: polyno727731844poly_a,SV301: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV301 )
= $false )
| ( ( polyno190918219poly_a @ ( polyno1418491367ysub_a @ SV83 @ SV301 ) )
= $true )
| ( ( polyno190918219poly_a @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1134,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( ~ ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1135,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $true )
| ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1136,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= ( ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1137,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ( ( SV109 != zero_zero_a ) )
= $true )
| ( ( ! [SY634: nat,SY635: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY634 @ SY635 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1138,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ( SV109 = zero_zero_a )
= $true )
| ( ( ! [SY636: nat,SY637: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY636 @ SY637 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV202 ) @ SY636 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY637 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1139,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1140,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
= $true )
| ( ( ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1141,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 ) )
= $true )
| ( ( ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1142,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1143,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1144,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
| ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) ) )
= $false )
| ( ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1145,plain,
! [SV330: a,SV312: a] :
( ( ( ( times_times_a @ SV312 @ SV330 )
= zero_zero_a )
= $true )
| ( ( ( SV312 != zero_zero_a ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1146,plain,
! [SV328: a,SV313: a] :
( ( ( ( times_times_a @ SV313 @ SV328 )
= zero_zero_a )
= $true )
| ( ( ( SV328 != zero_zero_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1147,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ( ( SV115 != zero_zero_a ) )
= $true )
| ( ( ! [SY646: nat,SY647: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY646 @ SY647 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1148,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ( SV115 = zero_zero_a )
= $true )
| ( ( ! [SY648: nat,SY649: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY648 @ SY649 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SV207 @ ( polyno439679028le_C_a @ SV115 ) ) @ SY648 @ ( polyno1934269411ymul_a @ SY649 @ ( polyno439679028le_C_a @ SV115 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1149,plain,
( ( ( ~ ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $false )
| ( ( ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1150,plain,
( ( ( ( ( polyno1934269411ymul_a @ p @ q )
!= ( polyno1934269411ymul_a @ q @ p ) ) )
= $false )
| ( ( ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1151,plain,
( ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1152,plain,
( ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1153,plain,
! [SV116: polyno727731844poly_a,SV314: polyno727731844poly_a,SV2: list_a] :
( ( ( polyno896877631f_bs_a @ SV2 @ SV314 )
= $false )
| ( ( polyno896877631f_bs_a @ SV2 @ ( polyno1934269411ymul_a @ SV116 @ SV314 ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV2 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1154,plain,
! [SV131: a,SV17: a] :
( ( ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 != SV131 ) )
= $false )
| ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1155,plain,
! [SV131: a,SV17: a] :
( ( ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) )
| ( SV17 != SV131 ) )
= $false )
| ( ( SV17 = SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1156,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| $false )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1157,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| $false )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1158,plain,
! [SV229: nat,SV31: a] :
( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1159,plain,
! [SV229: nat,SV31: a] :
( ( $true = $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1160,plain,
! [SV146: nat,SV34: polyno727731844poly_a,SV331: nat,SV321: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV321 @ SV331 ) )
= $true )
| ( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= ( SV34 = SV321 ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1161,plain,
! [SV149: nat,SV41: polyno727731844poly_a,SV332: nat,SV322: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV322 @ SV332 ) )
= $true )
| ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1162,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 != SV152 ) )
= $false )
| ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1163,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) )
| ( SV44 != SV152 ) )
= $false )
| ( ( SV44 = SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1164,plain,
! [SV241: nat,SV50: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1165,plain,
! [SV241: nat,SV50: nat] :
( ( $false = $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1166,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV161 )
| ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
= $false )
| ( ( polyno190918219poly_a @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1167,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV161 )
| ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1168,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1169,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1170,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1171,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1172,plain,
! [SV166: a,SV64: a] :
( ( ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $false )
| ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1173,plain,
! [SV166: a,SV64: a] :
( ( ( SV64 = zero_zero_a )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1174,plain,
! [SV64: a,SV166: a] :
( ( ( SV166 = zero_zero_a )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1175,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 = SV297 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 != SV297 ) ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1176,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 = SV298 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 != SV298 ) ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1177,plain,
! [SV179: polyno727731844poly_a,SV323: polyno727731844poly_a,SV82: list_a] :
( ( ( polyno896877631f_bs_a @ SV82 @ SV323 )
= $false )
| ( ( polyno896877631f_bs_a @ SV82 @ ( polyno1418491367ysub_a @ SV179 @ SV323 ) )
= $true )
| ( ( polyno896877631f_bs_a @ SV82 @ SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1178,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| $false )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1179,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ( SV105 = SV274 )
| ( SV198 = SV307 ) )
= $false )
| ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1180,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
| ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1136]) ).
thf(1181,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= ( ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1136]) ).
thf(1182,plain,
! [SV202: polyno727731844poly_a,SV109: a] :
( ( ( SV109 = zero_zero_a )
= $false )
| ( ( ! [SY634: nat,SY635: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SY634 @ SY635 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1183,plain,
! [SV333: nat,SV202: polyno727731844poly_a,SV109: a] :
( ( ( ! [SY699: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SV333 @ SY699 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV202 ) @ SV333 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SY699 ) ) ) )
= $true )
| ( ( SV109 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1184,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $false )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1185,plain,
! [SV204: polyno727731844poly_a > polyno727731844poly_a,SV111: nat,SV334: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV334 @ SV111 )
| ! [SY700: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY700 @ SV204 @ SV334 ) @ SV111 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1186,plain,
! [SV111: nat,SV204: polyno727731844poly_a > polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 )
= $false )
| ( ( ! [SY640: polyno727731844poly_a] :
( ~ ( polyno1372495879olyh_a @ SY640 @ SV111 )
| ! [SY641: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY641 @ SV204 @ SY640 ) @ SV111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1187,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1188,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $false )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1189,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( ~ ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 ) )
= $false )
| ( ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1190,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( ~ ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) ) )
= $false )
| ( ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1191,plain,
! [SV330: a,SV312: a] :
( ( ( SV312 = zero_zero_a )
= $false )
| ( ( ( times_times_a @ SV312 @ SV330 )
= zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1192,plain,
! [SV313: a,SV328: a] :
( ( ( SV328 = zero_zero_a )
= $false )
| ( ( ( times_times_a @ SV313 @ SV328 )
= zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1193,plain,
! [SV207: polyno727731844poly_a,SV115: a] :
( ( ( SV115 = zero_zero_a )
= $false )
| ( ( ! [SY646: nat,SY647: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SY646 @ SY647 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1194,plain,
! [SV115: a,SV335: nat,SV207: polyno727731844poly_a] :
( ( ( ! [SY701: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SV335 @ SY701 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SV207 @ ( polyno439679028le_C_a @ SV115 ) ) @ SV335 @ ( polyno1934269411ymul_a @ SY701 @ ( polyno439679028le_C_a @ SV115 ) ) ) ) )
= $true )
| ( ( SV115 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1195,plain,
( ( ( ! [Bs: list_a] :
( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
= $true )
| ( ( ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1196,plain,
( ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $true )
| ( ( ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1150]) ).
thf(1197,plain,
! [SV336: list_a] :
( ( ( ( polyno422358502poly_a @ SV336 @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ SV336 @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ p @ q )
= ( polyno1934269411ymul_a @ q @ p ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1198,plain,
! [SV131: a,SV17: a] :
( ( ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) ) )
= $false )
| ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1199,plain,
! [SV131: a,SV17: a] :
( ( ( ( SV17 != SV131 ) )
= $false )
| ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1200,plain,
! [SV131: a,SV17: a] :
( ( ( ( ( polyno439679028le_C_a @ SV17 )
!= ( polyno439679028le_C_a @ SV131 ) ) )
= $false )
| ( ( SV17 = SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1201,plain,
! [SV131: a,SV17: a] :
( ( ( ( SV17 != SV131 ) )
= $false )
| ( ( SV17 = SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1202,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1203,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( $false = $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1204,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1157]) ).
thf(1205,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( $false = $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1157]) ).
thf(1206,plain,
! [SV229: nat,SV31: a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| ~ $true )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1207,plain,
! [SV229: nat,SV31: a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
| ~ $true )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1208,plain,
! [SV146: nat,SV34: polyno727731844poly_a,SV331: nat,SV321: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= ( SV34 = SV321 ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1209,plain,
! [SV149: nat,SV41: polyno727731844poly_a,SV332: nat,SV322: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1210,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) ) )
= $false )
| ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1211,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( SV44 != SV152 ) )
= $false )
| ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1212,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( ( polyno2024845497ound_a @ SV44 )
!= ( polyno2024845497ound_a @ SV152 ) ) )
= $false )
| ( ( SV44 = SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1213,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( SV44 != SV152 ) )
= $false )
| ( ( SV44 = SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1214,plain,
! [SV241: nat,SV50: nat] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1215,plain,
! [SV241: nat,SV50: nat] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1216,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV161 ) )
= $false )
| ( ( polyno190918219poly_a @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1217,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
= $false )
| ( ( polyno190918219poly_a @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1218,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ~ ( polyno190918219poly_a @ SV161 ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1219,plain,
! [SV161: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1220,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $false )
| ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1221,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( SV164 = zero_zero_a )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1169]) ).
thf(1222,plain,
! [SV164: a,SV245: a,SV60: a] :
( ( ( SV60 = SV245 )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1169]) ).
thf(1223,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $false )
| ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1224,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( SV61 = zero_zero_a )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1171]) ).
thf(1225,plain,
! [SV61: a,SV246: a,SV165: a] :
( ( ( SV165 = SV246 )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1171]) ).
thf(1226,plain,
! [SV166: a,SV64: a] :
( ( ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a ) )
= $false )
| ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1172]) ).
thf(1227,plain,
! [SV166: a,SV64: a] :
( ( ( ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $false )
| ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1172]) ).
thf(1228,plain,
! [SV166: a,SV64: a] :
( ( ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $false )
| ( ( SV64 = zero_zero_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1229,plain,
! [SV166: a,SV64: a] :
( ( ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a )
| ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $false )
| ( ( SV166 = zero_zero_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1230,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 != SV297 ) ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1175]) ).
thf(1231,plain,
! [SV71: a,SV297: a,SV252: a] :
( ( ( SV252 = SV297 )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 != SV297 ) ) )
= $true )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1175]) ).
thf(1232,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 != SV298 ) ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1233,plain,
! [SV72: a,SV298: a,SV253: a] :
( ( ( SV253 = SV298 )
= $false )
| ( ( ~ ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 != SV298 ) ) )
= $true )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1234,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1235,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( $false = $false )
| ( ( ~ ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1236,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $false )
| ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1179]) ).
thf(1237,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( ( SV105 = SV274 )
| ( SV198 = SV307 ) )
= $false )
| ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1179]) ).
thf(1238,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1239,plain,
! [SV337: nat,SV202: polyno727731844poly_a,SV109: a] :
( ( ( ! [SY702: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SV337 @ SY702 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true )
| ( ( SV109 = zero_zero_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1240,plain,
! [SV338: polyno727731844poly_a,SV333: nat,SV202: polyno727731844poly_a,SV109: a] :
( ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SV333 @ SV338 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV202 ) @ SV333 @ ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ SV338 ) ) )
= $true )
| ( ( SV109 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1183]) ).
thf(1241,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1242,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $false )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1243,plain,
! [SV204: polyno727731844poly_a > polyno727731844poly_a,SV111: nat,SV334: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV334 @ SV111 ) )
= $true )
| ( ( ! [SY700: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY700 @ SV204 @ SV334 ) @ SV111 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1244,plain,
! [SV204: polyno727731844poly_a > polyno727731844poly_a,SV111: nat,SV339: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV339 @ SV111 )
| ! [SY703: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY703 @ SV204 @ SV339 ) @ SV111 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1245,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1246,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1247,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1248,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $false )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1249,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( polyno896877631f_bs_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
= $true )
| ( ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1250,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
!= zero_zero_a ) )
= $true )
| ( ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1251,plain,
! [SV115: a,SV340: nat,SV207: polyno727731844poly_a] :
( ( ( ! [SY704: polyno727731844poly_a] :
( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SV340 @ SY704 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true )
| ( ( SV115 = zero_zero_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1252,plain,
! [SV115: a,SV341: polyno727731844poly_a,SV335: nat,SV207: polyno727731844poly_a] :
( ( ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SV335 @ SV341 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno1057396216e_CN_a @ ( polyno1934269411ymul_a @ SV207 @ ( polyno439679028le_C_a @ SV115 ) ) @ SV335 @ ( polyno1934269411ymul_a @ SV341 @ ( polyno439679028le_C_a @ SV115 ) ) ) )
= $true )
| ( ( SV115 = zero_zero_a )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1253,plain,
! [SV342: list_a] :
( ( ( ( polyno422358502poly_a @ SV342 @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ SV342 @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $true )
| ( ( ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ p @ q ) )
= ( polyno422358502poly_a @ sK3_Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1254,plain,
! [SV131: a,SV17: a] :
( ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $true )
| ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1255,plain,
! [SV131: a,SV17: a] :
( ( ( SV17 = SV131 )
= $true )
| ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1256,plain,
! [SV131: a,SV17: a] :
( ( ( ( polyno439679028le_C_a @ SV17 )
= ( polyno439679028le_C_a @ SV131 ) )
= $true )
| ( ( SV17 = SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1257,plain,
! [SV131: a,SV17: a] :
( ( ( SV17 = SV131 )
= $true )
| ( ( SV17 = SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1258,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1259,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1260,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1261,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1262,plain,
! [SV229: nat,SV31: a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 ) )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1263,plain,
! [SV229: nat,SV31: a] :
( ( ( ~ $true )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1264,plain,
! [SV229: nat,SV31: a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1265,plain,
( ( ( ~ $true )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1266,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ~ ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 = SV321 ) )
| ~ ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1267,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= ( SV34 = SV321 ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1268,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
| ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1209]) ).
thf(1269,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1209]) ).
thf(1270,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $true )
| ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1271,plain,
! [SV152: nat,SV44: nat] :
( ( ( SV44 = SV152 )
= $true )
| ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1272,plain,
! [SV152: nat,SV44: nat] :
( ( ( ( polyno2024845497ound_a @ SV44 )
= ( polyno2024845497ound_a @ SV152 ) )
= $true )
| ( ( SV44 = SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1273,plain,
! [SV152: nat,SV44: nat] :
( ( ( SV44 = SV152 )
= $true )
| ( ( SV44 = SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1274,plain,
! [SV241: nat,SV50: nat] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 ) )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1275,plain,
! [SV241: nat,SV50: nat] :
( ( ( ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1276,plain,
! [SV241: nat,SV50: nat] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1277,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1278,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV161 )
= $true )
| ( ( polyno190918219poly_a @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1279,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $true )
| ( ( polyno190918219poly_a @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1280,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno190918219poly_a @ SV161 )
= $true )
| ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1281,plain,
! [SV161: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $true )
| ( ( polyno1372495879olyh_a @ SV161 @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1282,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) ) )
= $false )
| ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1283,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $false )
| ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1284,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $false )
| ( ( SV164 = zero_zero_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1285,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) )
| ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $false )
| ( ( SV60 = SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1286,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) ) )
= $false )
| ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1287,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $false )
| ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1288,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $false )
| ( ( SV61 = zero_zero_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1289,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) )
| ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $false )
| ( ( SV165 = SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1290,plain,
! [SV166: a,SV64: a] :
( ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $true )
| ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1291,plain,
! [SV166: a,SV64: a] :
( ( ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) )
= $true )
| ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1292,plain,
! [SV166: a,SV64: a] :
( ( ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a ) )
= $false )
| ( ( SV64 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1293,plain,
! [SV166: a,SV64: a] :
( ( ( ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $false )
| ( ( SV64 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1294,plain,
! [SV166: a,SV64: a] :
( ( ( ( ( times_times_a @ SV64 @ SV166 )
!= zero_zero_a ) )
= $false )
| ( ( SV166 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1295,plain,
! [SV166: a,SV64: a] :
( ( ( ~ ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) ) )
= $false )
| ( ( SV166 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1296,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 != SV297 ) )
= $false )
| ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1297,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) )
| ( SV252 != SV297 ) )
= $false )
| ( ( SV252 = SV297 )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1298,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 != SV298 ) )
= $false )
| ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1299,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) )
| ( SV253 != SV298 ) )
= $false )
| ( ( SV253 = SV298 )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1300,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1301,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1302,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1303,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( SV105 = SV274 )
= $false )
| ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1304,plain,
! [SV274: a,SV105: a,SV307: a,SV198: a] :
( ( ( SV198 = SV307 )
= $false )
| ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1305,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $false )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1306,plain,
! [SV343: polyno727731844poly_a,SV337: nat,SV202: polyno727731844poly_a,SV109: a] :
( ( ( ( polyno1934269411ymul_a @ ( polyno439679028le_C_a @ SV109 ) @ ( polyno1057396216e_CN_a @ SV202 @ SV337 @ SV343 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV109 = zero_zero_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1307,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $false )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1308,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( SV110 != SV277 )
| ( SV203 != SV309 ) )
= $true )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1309,plain,
! [SV204: polyno727731844poly_a > polyno727731844poly_a,SV111: nat,SV334: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV334 @ SV111 )
= $false )
| ( ( ! [SY700: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY700 @ SV204 @ SV334 ) @ SV111 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1310,plain,
! [SV204: polyno727731844poly_a > polyno727731844poly_a,SV111: nat,SV339: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ SV339 @ SV111 ) )
= $true )
| ( ( ! [SY703: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY703 @ SV204 @ SV339 ) @ SV111 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1244]) ).
thf(1311,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1312,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1313,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $false )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1314,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( SV113 != SV279 )
| ( SV206 != SV311 ) )
= $true )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1315,plain,
! [SV280: nat,SV114: polyno727731844poly_a] :
( ( ( ( polyno422358502poly_a @ ( sK2_Bs3 @ SV114 ) @ SV114 )
= zero_zero_a )
= $false )
| ( ( SV114
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV114 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1316,plain,
! [SV115: a,SV344: polyno727731844poly_a,SV340: nat,SV207: polyno727731844poly_a] :
( ( ( ( polyno1934269411ymul_a @ ( polyno1057396216e_CN_a @ SV207 @ SV340 @ SV344 ) @ ( polyno439679028le_C_a @ SV115 ) )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV115 = zero_zero_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1317,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 ) )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1318,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1319,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1320,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1321,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 ) )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1322,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1323,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1324,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1325,plain,
! [SV229: nat,SV31: a] :
( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $true )
| ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1326,plain,
! [SV229: nat,SV31: a] :
( ( $true = $true )
| ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1327,plain,
! [SV229: nat,SV31: a] :
( ( ( polyno1372495879olyh_a @ ( polyno439679028le_C_a @ SV31 ) @ SV229 )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1328,plain,
( ( $true = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1329,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ~ ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 = SV321 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1330,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $true )
| ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1268]) ).
thf(1331,plain,
! [SV241: nat,SV50: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $true )
| ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1332,plain,
! [SV241: nat,SV50: nat] :
( ( $false = $true )
| ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1333,plain,
! [SV241: nat,SV50: nat] :
( ( ( polyno1372495879olyh_a @ ( polyno2024845497ound_a @ SV50 ) @ SV241 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1276]) ).
thf(1334,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1335,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $true )
| ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1336,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) )
= $true )
| ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1337,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) ) )
= $false )
| ( ( SV164 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1338,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $false )
| ( ( SV164 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1339,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( ( times_times_a @ SV60 @ SV164 )
!= ( times_times_a @ SV245 @ SV164 ) ) )
= $false )
| ( ( SV60 = SV245 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1340,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( ~ ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) ) )
= $false )
| ( ( SV60 = SV245 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1341,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $true )
| ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1342,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) )
= $true )
| ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1343,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) ) )
= $false )
| ( ( SV61 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1344,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $false )
| ( ( SV61 = zero_zero_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1345,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( ( times_times_a @ SV61 @ SV165 )
!= ( times_times_a @ SV61 @ SV246 ) ) )
= $false )
| ( ( SV165 = SV246 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1346,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ~ ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) ) )
= $false )
| ( ( SV165 = SV246 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1347,plain,
! [SV166: a,SV64: a] :
( ( ( SV64 = zero_zero_a )
= $true )
| ( ( SV166 = zero_zero_a )
= $true )
| ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1348,plain,
! [SV166: a,SV64: a] :
( ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $true )
| ( ( SV64 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1349,plain,
! [SV166: a,SV64: a] :
( ( ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) )
= $true )
| ( ( SV64 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1350,plain,
! [SV166: a,SV64: a] :
( ( ( ( times_times_a @ SV64 @ SV166 )
= zero_zero_a )
= $true )
| ( ( SV166 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1351,plain,
! [SV166: a,SV64: a] :
( ( ( ( SV64 = zero_zero_a )
| ( SV166 = zero_zero_a ) )
= $true )
| ( ( SV166 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1352,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) ) )
= $false )
| ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1353,plain,
! [SV71: a,SV297: a,SV252: a] :
( ( ( ( SV252 != SV297 ) )
= $false )
| ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1354,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( ( times_times_a @ SV71 @ SV252 )
!= ( times_times_a @ SV71 @ SV297 ) ) )
= $false )
| ( ( SV252 = SV297 )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1355,plain,
! [SV71: a,SV297: a,SV252: a] :
( ( ( ( SV252 != SV297 ) )
= $false )
| ( ( SV252 = SV297 )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1356,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) ) )
= $false )
| ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1357,plain,
! [SV72: a,SV298: a,SV253: a] :
( ( ( ( SV253 != SV298 ) )
= $false )
| ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1358,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( ( times_times_a @ SV253 @ SV72 )
!= ( times_times_a @ SV298 @ SV72 ) ) )
= $false )
| ( ( SV253 = SV298 )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1299]) ).
thf(1359,plain,
! [SV72: a,SV298: a,SV253: a] :
( ( ( ( SV253 != SV298 ) )
= $false )
| ( ( SV253 = SV298 )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1299]) ).
thf(1360,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 ) )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1361,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( ~ $false )
= $false )
| ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1362,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( ~ ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1363,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1364,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1365,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1366,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $false )
| ( ( SV105 = SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1367,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
| ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $false )
| ( ( SV198 = SV307 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1368,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1369,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $false )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1370,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) ) )
= $false )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1307]) ).
thf(1371,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $false )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1307]) ).
thf(1372,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( SV110 != SV277 ) )
= $true )
| ( ( ( SV203 != SV309 ) )
= $true )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1373,plain,
! [SV111: nat,SV334: polyno727731844poly_a,SV204: polyno727731844poly_a > polyno727731844poly_a,SV345: nat] :
( ( ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SV345 @ SV204 @ SV334 ) @ SV111 )
= $true )
| ( ( polyno1372495879olyh_a @ SV334 @ SV111 )
= $false )
| ( ( polyno1372495879olyh_a @ ( sK1_P4 @ SV204 @ SV111 ) @ SV111 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1374,plain,
! [SV204: polyno727731844poly_a > polyno727731844poly_a,SV111: nat,SV339: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ SV339 @ SV111 )
= $false )
| ( ( ! [SY703: nat] : ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SY703 @ SV204 @ SV339 ) @ SV111 ) )
= $true )
| ( ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1375,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ( SV112 != SV205 ) ) )
= $true )
| ( ( ~ ( ( SV278 != SV310 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1376,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1377,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) ) )
= $false )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1378,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $false )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1379,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( SV113 != SV279 ) )
= $true )
| ( ( ( SV206 != SV311 ) )
= $true )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1314]) ).
thf(1380,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $true )
| ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1381,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( $false = $true )
| ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1382,plain,
! [SV290: nat,SV143: polyno727731844poly_a,SV29: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1491482291_Mul_a @ SV29 @ SV143 ) @ SV290 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1383,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1384,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $true )
| ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1385,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( $false = $true )
| ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1386,plain,
! [SV291: nat,SV144: polyno727731844poly_a,SV30: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1623170614_Add_a @ SV30 @ SV144 ) @ SV291 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1323]) ).
thf(1387,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1324]) ).
thf(1388,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 = SV321 ) )
= $false )
| ( ( ~ ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1389,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $false )
| ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1390,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( SV164 = zero_zero_a )
= $true )
| ( ( SV60 = SV245 )
= $true )
| ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1336]) ).
thf(1391,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $true )
| ( ( SV164 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1337]) ).
thf(1392,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) )
= $true )
| ( ( SV164 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1393,plain,
! [SV245: a,SV164: a,SV60: a] :
( ( ( ( times_times_a @ SV60 @ SV164 )
= ( times_times_a @ SV245 @ SV164 ) )
= $true )
| ( ( SV60 = SV245 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1394,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( ( SV164 = zero_zero_a )
| ( SV60 = SV245 ) )
= $true )
| ( ( SV60 = SV245 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1340]) ).
thf(1395,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( SV61 = zero_zero_a )
= $true )
| ( ( SV165 = SV246 )
= $true )
| ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1396,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $true )
| ( ( SV61 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1397,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) )
= $true )
| ( ( SV61 = zero_zero_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1344]) ).
thf(1398,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( times_times_a @ SV61 @ SV165 )
= ( times_times_a @ SV61 @ SV246 ) )
= $true )
| ( ( SV165 = SV246 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1399,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( ( SV61 = zero_zero_a )
| ( SV165 = SV246 ) )
= $true )
| ( ( SV165 = SV246 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1400,plain,
! [SV166: a,SV64: a] :
( ( ( SV64 = zero_zero_a )
= $true )
| ( ( SV166 = zero_zero_a )
= $true )
| ( ( SV64 = zero_zero_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1401,plain,
! [SV166: a,SV64: a] :
( ( ( SV64 = zero_zero_a )
= $true )
| ( ( SV166 = zero_zero_a )
= $true )
| ( ( SV166 = zero_zero_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1351]) ).
thf(1402,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $true )
| ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1352]) ).
thf(1403,plain,
! [SV71: a,SV297: a,SV252: a] :
( ( ( SV252 = SV297 )
= $true )
| ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1404,plain,
! [SV297: a,SV252: a,SV71: a] :
( ( ( ( times_times_a @ SV71 @ SV252 )
= ( times_times_a @ SV71 @ SV297 ) )
= $true )
| ( ( SV252 = SV297 )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1405,plain,
! [SV71: a,SV297: a,SV252: a] :
( ( ( SV252 = SV297 )
= $true )
| ( ( SV252 = SV297 )
= $false )
| ( ( SV71 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1406,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $true )
| ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1407,plain,
! [SV72: a,SV298: a,SV253: a] :
( ( ( SV253 = SV298 )
= $true )
| ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1408,plain,
! [SV298: a,SV72: a,SV253: a] :
( ( ( ( times_times_a @ SV253 @ SV72 )
= ( times_times_a @ SV298 @ SV72 ) )
= $true )
| ( ( SV253 = SV298 )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1409,plain,
! [SV72: a,SV298: a,SV253: a] :
( ( ( SV253 = SV298 )
= $true )
| ( ( SV253 = SV298 )
= $false )
| ( ( SV72 = zero_zero_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1359]) ).
thf(1410,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $true )
| ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1411,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( $false = $true )
| ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1412,plain,
! [SV302: nat,SV184: nat,SV91: polyno727731844poly_a] :
( ( ( polyno1372495879olyh_a @ ( polyno1538138524e_Pw_a @ SV91 @ SV184 ) @ SV302 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1362]) ).
thf(1413,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1414,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $true )
| ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1415,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( ( SV105 = SV274 )
| ( SV198 = SV307 ) )
= $true )
| ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1416,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) ) )
= $false )
| ( ( SV105 = SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1417,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $false )
| ( ( SV105 = SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1418,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
!= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) ) )
= $false )
| ( ( SV198 = SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1419,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( ~ ( ( SV105 = SV274 )
| ( SV198 = SV307 ) ) )
= $false )
| ( ( SV198 = SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1420,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1421,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1422,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $true )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1423,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $true )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1424,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( SV110 = SV277 )
= $false )
| ( ( ( SV203 != SV309 ) )
= $true )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1425,plain,
! [SV111: nat,SV339: polyno727731844poly_a,SV204: polyno727731844poly_a > polyno727731844poly_a,SV346: nat] :
( ( ( polyno1372495879olyh_a @ ( compow1114216044poly_a @ SV346 @ SV204 @ SV339 ) @ SV111 )
= $true )
| ( ( polyno1372495879olyh_a @ SV339 @ SV111 )
= $false )
| ( ( polyno1372495879olyh_a @ ( SV204 @ ( sK1_P4 @ SV204 @ SV111 ) ) @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1426,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ( SV112 != SV205 ) )
= $false )
| ( ( ~ ( ( SV278 != SV310 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1427,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1428,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1429,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $true )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1377]) ).
thf(1430,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $true )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1431,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( SV113 = SV279 )
= $false )
| ( ( ( SV206 != SV311 ) )
= $true )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1432,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1433,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( SV34 = SV321 )
= $false )
| ( ( ~ ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1434,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1435,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $false )
| ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1436,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( SV164 = zero_zero_a )
= $true )
| ( ( SV60 = SV245 )
= $true )
| ( ( SV164 = zero_zero_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1437,plain,
! [SV245: a,SV60: a,SV164: a] :
( ( ( SV164 = zero_zero_a )
= $true )
| ( ( SV60 = SV245 )
= $true )
| ( ( SV60 = SV245 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1394]) ).
thf(1438,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( SV61 = zero_zero_a )
= $true )
| ( ( SV165 = SV246 )
= $true )
| ( ( SV61 = zero_zero_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1397]) ).
thf(1439,plain,
! [SV246: a,SV165: a,SV61: a] :
( ( ( SV61 = zero_zero_a )
= $true )
| ( ( SV165 = SV246 )
= $true )
| ( ( SV165 = SV246 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1440,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( SV105 = SV274 )
= $true )
| ( ( SV198 = SV307 )
= $true )
| ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1415]) ).
thf(1441,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $true )
| ( ( SV105 = SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1416]) ).
thf(1442,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( ( SV105 = SV274 )
| ( SV198 = SV307 ) )
= $true )
| ( ( SV105 = SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1443,plain,
! [SV307: a,SV274: a,SV198: a,SV105: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV105 @ SV198 ) @ ( times_times_a @ SV274 @ SV307 ) )
= ( plus_plus_a @ ( times_times_a @ SV105 @ SV307 ) @ ( times_times_a @ SV274 @ SV198 ) ) )
= $true )
| ( ( SV198 = SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1444,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( ( SV105 = SV274 )
| ( SV198 = SV307 ) )
= $true )
| ( ( SV198 = SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1445,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1446,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1447,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) ) )
= $true )
| ( ( ( SV276 != SV329 ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1448,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( SV110 != SV277 )
| ( SV203 != SV309 ) )
= $false )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1449,plain,
! [SV277: polyno727731844poly_a,SV110: polyno727731844poly_a,SV309: polyno727731844poly_a,SV203: polyno727731844poly_a] :
( ( ( SV203 = SV309 )
= $false )
| ( ( SV110 = SV277 )
= $false )
| ( ( ~ ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1424]) ).
thf(1450,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( SV112 = SV205 )
= $true )
| ( ( ~ ( ( SV278 != SV310 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1426]) ).
thf(1451,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) ) )
= $true )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1452,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) )
= $true )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1453,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( SV113 != SV279 )
| ( SV206 != SV311 ) )
= $false )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1454,plain,
! [SV279: polyno727731844poly_a,SV113: polyno727731844poly_a,SV311: polyno727731844poly_a,SV206: polyno727731844poly_a] :
( ( ( SV206 = SV311 )
= $false )
| ( ( SV113 = SV279 )
= $false )
| ( ( ~ ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1455,plain,
! [SV34: polyno727731844poly_a,SV321: polyno727731844poly_a,SV331: nat,SV146: nat] :
( ( ( ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV34 )
= ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV321 ) )
= $false )
| ( ( ~ ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1432]) ).
thf(1456,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) )
= $false )
| ( ( SV34 = SV321 )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1457,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1458,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1459,plain,
! [SV149: nat,SV332: nat,SV41: polyno727731844poly_a,SV322: polyno727731844poly_a] :
( ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( ~ ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) ) )
= $true )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1460,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( SV105 = SV274 )
= $true )
| ( ( SV198 = SV307 )
= $true )
| ( ( SV105 = SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1442]) ).
thf(1461,plain,
! [SV307: a,SV198: a,SV274: a,SV105: a] :
( ( ( SV105 = SV274 )
= $true )
| ( ( SV198 = SV307 )
= $true )
| ( ( SV198 = SV307 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1462,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $true )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1463,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $true )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1464,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) ) )
= $false )
| ( ( ( SV276 != SV329 ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1465,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( SV110 != SV277 ) )
= $false )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1448]) ).
thf(1466,plain,
! [SV277: polyno727731844poly_a,SV110: polyno727731844poly_a,SV309: polyno727731844poly_a,SV203: polyno727731844poly_a] :
( ( ( ( SV203 != SV309 ) )
= $false )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1448]) ).
thf(1467,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
| ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $false )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1468,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( ( SV278 != SV310 ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1469,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1470,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1471,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( SV113 != SV279 ) )
= $false )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1472,plain,
! [SV279: polyno727731844poly_a,SV113: polyno727731844poly_a,SV311: polyno727731844poly_a,SV206: polyno727731844poly_a] :
( ( ( ( SV206 != SV311 ) )
= $false )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1473,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
| ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $false )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1474,plain,
! [SV331: nat,SV146: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) )
| ( SV34 != SV321 ) )
= $false )
| ( ( ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV34 )
= ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV321 ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1475,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= $false )
| ( ( SV34 = SV321 )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1476,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ( SV34 != SV321 ) )
= $false )
| ( ( SV34 = SV321 )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1477,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $false )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1478,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1479,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false )
| ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1480,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) )
| ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1481,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1482,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
= $true )
| ( ( ( SV276 != SV329 ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1483,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( SV110 = SV277 )
= $true )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1484,plain,
! [SV277: polyno727731844poly_a,SV110: polyno727731844poly_a,SV309: polyno727731844poly_a,SV203: polyno727731844poly_a] :
( ( ( SV203 = SV309 )
= $true )
| ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1485,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
!= ( polyno1623170614_Add_a @ SV277 @ SV309 ) ) )
= $false )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1486,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $false )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1487,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( SV278 = SV310 )
= $true )
| ( ( SV112 = SV205 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1488,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ( SV112 != SV205 ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1489,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( ~ ( ( SV278 != SV310 ) ) )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1490,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( SV113 = SV279 )
= $true )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1491,plain,
! [SV279: polyno727731844poly_a,SV113: polyno727731844poly_a,SV311: polyno727731844poly_a,SV206: polyno727731844poly_a] :
( ( ( SV206 = SV311 )
= $true )
| ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1492,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
!= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) ) )
= $false )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1493,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $false )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1494,plain,
! [SV331: nat,SV146: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ~ ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= $false )
| ( ( ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV34 )
= ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV321 ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1495,plain,
! [SV331: nat,SV146: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ( SV34 != SV321 ) )
= $false )
| ( ( ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV34 )
= ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV321 ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1496,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= $true )
| ( ( SV34 = SV321 )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1497,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( SV34 = SV321 )
= $true )
| ( ( SV34 = SV321 )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1498,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1477]) ).
thf(1499,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1478]) ).
thf(1500,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $false )
| ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1479]) ).
thf(1501,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false )
| ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1479]) ).
thf(1502,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
!= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $false )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1503,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ~ ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) ) )
= $false )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1504,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1505,plain,
! [SV327: nat,SV308: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a,SV329: polyno727731844poly_a,SV276: polyno727731844poly_a] :
( ( ( ( SV276 != SV329 ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1506,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ( SV108 != SV308 ) )
= $true )
| ( ( ( SV201 != SV327 ) )
= $true )
| ( ( ( SV276 != SV329 ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1482]) ).
thf(1507,plain,
! [SV309: polyno727731844poly_a,SV277: polyno727731844poly_a,SV203: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( polyno1623170614_Add_a @ SV110 @ SV203 )
= ( polyno1623170614_Add_a @ SV277 @ SV309 ) )
= $true )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1508,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ~ ( ( SV110 != SV277 )
| ( SV203 != SV309 ) ) )
= $true )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1509,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
| ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1510,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ( SV112 != SV205 ) )
= $true )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1511,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( ( SV278 != SV310 ) )
= $true )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1512,plain,
! [SV311: polyno727731844poly_a,SV279: polyno727731844poly_a,SV206: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( polyno1491482291_Mul_a @ SV113 @ SV206 )
= ( polyno1491482291_Mul_a @ SV279 @ SV311 ) )
= $true )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1513,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ~ ( ( SV113 != SV279 )
| ( SV206 != SV311 ) ) )
= $true )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1493]) ).
thf(1514,plain,
! [SV331: nat,SV146: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( ! [SY696: list_a] :
( ( polyno422358502poly_a @ SY696 @ SV34 )
= ( polyno422358502poly_a @ SY696 @ SV321 ) ) )
= $true )
| ( ( ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV34 )
= ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV321 ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1494]) ).
thf(1515,plain,
! [SV331: nat,SV146: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a] :
( ( ( SV34 = SV321 )
= $true )
| ( ( ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV34 )
= ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV321 ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1516,plain,
! [SV146: nat,SV331: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a,SV347: list_a] :
( ( ( ( polyno422358502poly_a @ SV347 @ SV34 )
= ( polyno422358502poly_a @ SV347 @ SV321 ) )
= $true )
| ( ( SV34 = SV321 )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1517,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1499]) ).
thf(1518,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1500]) ).
thf(1519,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true )
| ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1501]) ).
thf(1520,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( polyno1934269411ymul_a @ SV41 @ SV322 )
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1521,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
| ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) ) )
= $true )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1503]) ).
thf(1522,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) ) )
= $true )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1504]) ).
thf(1523,plain,
! [SV327: nat,SV308: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a,SV329: polyno727731844poly_a,SV276: polyno727731844poly_a] :
( ( ( SV276 = SV329 )
= $true )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1505]) ).
thf(1524,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( SV108 = SV308 )
= $false )
| ( ( ( SV201 != SV327 ) )
= $true )
| ( ( ( SV276 != SV329 ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1525,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( SV110 != SV277 )
| ( SV203 != SV309 ) )
= $false )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1526,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1527,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ~ ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1528,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( SV112 = SV205 )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1529,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( SV278 = SV310 )
= $false )
| ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1530,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( SV113 != SV279 )
| ( SV206 != SV311 ) )
= $false )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1531,plain,
! [SV331: nat,SV146: nat,SV321: polyno727731844poly_a,SV34: polyno727731844poly_a,SV348: list_a] :
( ( ( ( polyno422358502poly_a @ SV348 @ SV34 )
= ( polyno422358502poly_a @ SV348 @ SV321 ) )
= $true )
| ( ( ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV34 )
= ( polyno422358502poly_a @ ( sK4_SY696 @ SV146 @ SV331 @ SV321 @ SV34 ) @ SV321 ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV321 @ SV331 )
= $false )
| ( ( polyno1372495879olyh_a @ SV34 @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1532,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1533,plain,
! [SV149: nat,SV332: nat,SV322: polyno727731844poly_a,SV41: polyno727731844poly_a] :
( ( ( SV41
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $true )
| ( ( SV322
= ( polyno439679028le_C_a @ zero_zero_a ) )
= $false )
| ( ( polyno1372495879olyh_a @ SV322 @ SV332 )
= $false )
| ( ( polyno1372495879olyh_a @ SV41 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1534,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1535,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a,SV327: nat,SV201: nat] :
( ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( ( SV276 != SV329 ) )
= $true )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1536,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( ( SV110 != SV277 ) )
= $false )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1525]) ).
thf(1537,plain,
! [SV277: polyno727731844poly_a,SV110: polyno727731844poly_a,SV309: polyno727731844poly_a,SV203: polyno727731844poly_a] :
( ( ( ( SV203 != SV309 ) )
= $false )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1525]) ).
thf(1538,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) ) )
= $true )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1539,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
!= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) ) )
= $true )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1540,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( ( SV113 != SV279 ) )
= $false )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1541,plain,
! [SV279: polyno727731844poly_a,SV113: polyno727731844poly_a,SV311: polyno727731844poly_a,SV206: polyno727731844poly_a] :
( ( ( ( SV206 != SV311 ) )
= $false )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1542,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV276: polyno727731844poly_a,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ( SV108 != SV308 ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1543,plain,
! [SV329: polyno727731844poly_a,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV108: polyno727731844poly_a,SV327: nat,SV201: nat] :
( ( ( ( SV201 != SV327 ) )
= $false )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1544,plain,
! [SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a,SV329: polyno727731844poly_a,SV276: polyno727731844poly_a] :
( ( ( SV276 = SV329 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( ~ ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1545,plain,
! [SV309: polyno727731844poly_a,SV203: polyno727731844poly_a,SV277: polyno727731844poly_a,SV110: polyno727731844poly_a] :
( ( ( SV110 = SV277 )
= $true )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1546,plain,
! [SV277: polyno727731844poly_a,SV110: polyno727731844poly_a,SV309: polyno727731844poly_a,SV203: polyno727731844poly_a] :
( ( ( SV203 = SV309 )
= $true )
| ( ( SV110 = SV277 )
= $false )
| ( ( SV203 = SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1547,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ( SV112 != SV205 ) )
| ~ ( ( SV278 != SV310 ) ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1548,plain,
! [SV310: a,SV205: a,SV278: a,SV112: a] :
( ( ( ( plus_plus_a @ ( times_times_a @ SV112 @ SV278 ) @ ( times_times_a @ SV205 @ SV310 ) )
= ( plus_plus_a @ ( times_times_a @ SV112 @ SV310 ) @ ( times_times_a @ SV205 @ SV278 ) ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1549,plain,
! [SV311: polyno727731844poly_a,SV206: polyno727731844poly_a,SV279: polyno727731844poly_a,SV113: polyno727731844poly_a] :
( ( ( SV113 = SV279 )
= $true )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1540]) ).
thf(1550,plain,
! [SV279: polyno727731844poly_a,SV113: polyno727731844poly_a,SV311: polyno727731844poly_a,SV206: polyno727731844poly_a] :
( ( ( SV206 = SV311 )
= $true )
| ( ( SV113 = SV279 )
= $false )
| ( ( SV206 = SV311 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1551,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV276: polyno727731844poly_a,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( SV108 = SV308 )
= $true )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1552,plain,
! [SV329: polyno727731844poly_a,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV108: polyno727731844poly_a,SV327: nat,SV201: nat] :
( ( ( SV201 = SV327 )
= $true )
| ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1553,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
| ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1554,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ~ ( ( SV112 != SV205 ) ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1547]) ).
thf(1555,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( ~ ( ( SV278 != SV310 ) ) )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1547]) ).
thf(1556,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
!= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1553]) ).
thf(1557,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1553]) ).
thf(1558,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( ( SV112 != SV205 ) )
= $true )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1559,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( ( SV278 != SV310 ) )
= $true )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1560,plain,
! [SV329: polyno727731844poly_a,SV327: nat,SV308: polyno727731844poly_a,SV276: polyno727731844poly_a,SV201: nat,SV108: polyno727731844poly_a] :
( ( ( ( polyno1057396216e_CN_a @ SV108 @ SV201 @ SV276 )
= ( polyno1057396216e_CN_a @ SV308 @ SV327 @ SV329 ) )
= $true )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1561,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) ) )
= $true )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1562,plain,
! [SV310: a,SV278: a,SV205: a,SV112: a] :
( ( ( SV112 = SV205 )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1563,plain,
! [SV205: a,SV112: a,SV310: a,SV278: a] :
( ( ( SV278 = SV310 )
= $false )
| ( ( SV112 = SV205 )
= $true )
| ( ( SV278 = SV310 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1564,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
| ( SV276 != SV329 ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1565,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1566,plain,
! [SV308: polyno727731844poly_a,SV108: polyno727731844poly_a,SV327: nat,SV201: nat,SV329: polyno727731844poly_a,SV276: polyno727731844poly_a] :
( ( ( ( SV276 != SV329 ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1567,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ~ ( ( SV108 != SV308 )
| ( SV201 != SV327 ) ) )
= $true )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1568,plain,
! [SV308: polyno727731844poly_a,SV108: polyno727731844poly_a,SV327: nat,SV201: nat,SV329: polyno727731844poly_a,SV276: polyno727731844poly_a] :
( ( ( SV276 = SV329 )
= $true )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1569,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ( SV108 != SV308 )
| ( SV201 != SV327 ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1570,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( ( SV108 != SV308 ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1571,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a,SV327: nat,SV201: nat] :
( ( ( ( SV201 != SV327 ) )
= $false )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1572,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV327: nat,SV201: nat,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a] :
( ( ( SV108 = SV308 )
= $true )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1573,plain,
! [SV329: polyno727731844poly_a,SV276: polyno727731844poly_a,SV308: polyno727731844poly_a,SV108: polyno727731844poly_a,SV327: nat,SV201: nat] :
( ( ( SV201 = SV327 )
= $true )
| ( ( SV201 = SV327 )
= $false )
| ( ( SV108 = SV308 )
= $false )
| ( ( SV276 = SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1574,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[515,1573,1572,1568,1563,1562,1560,1552,1551,1550,1549,1548,1546,1545,1533,1532,1531,1529,1528,1523,1520,1518,1517,1516,1515,1512,1507,1498,1497,1491,1490,1484,1483,1470,1462,1461,1460,1443,1441,1440,1439,1438,1437,1436,1429,1425,1422,1414,1413,1412,1411,1410,1409,1408,1407,1406,1405,1404,1403,1402,1401,1400,1398,1396,1395,1393,1391,1390,1387,1386,1385,1384,1383,1382,1381,1380,1373,1350,1348,1347,1341,1335,1334,1333,1332,1331,1328,1327,1326,1325,1316,1315,1306,1290,1281,1280,1279,1278,1273,1272,1271,1270,1269,1267,1257,1256,1255,1254,1253,1252,1249,1240,1197,1196,1192,1191,1181,1177,1153,1152,1133,1115,1114,1110,1101,1099,1095,1090,1089,1087,1086,1085,1084,1080,1078,1076,1075,1069,1064,1062,1060,1059,1058,1057,1053,1052,1033,1030,1028,1026,1023,1022,1017,1015,1013,1011,1010,1008,1007,1005,1004,1000,999,998,997,995,989,988,965,962,959,956,955,954,953,952,950,947,944,943,941,939,938,937,932,931,929,928,927,921,915,913,911,910,908,903,900,898,888,887,885,884,883,882,881,878,877,876,844,843,839,835,831,816,814,808,796,784,782,777,776,771,770,754,735,732,731,720,719,713,708,707,704,703,700,698,697,677,676,644,516]) ).
thf(1575,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ITP150^1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.09 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Thu Jun 2 21:10:25 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.36 ........
% 0.15/0.52
% 0.15/0.52 No.of.Axioms: 355
% 0.15/0.52
% 0.15/0.52 Length.of.Defs: 0
% 0.15/0.52
% 0.15/0.52 Contains.Choice.Funs: false
% 0.43/0.61 ................
% 0.47/0.67 (rf:2,axioms:119,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:357,loop_count:0,foatp_calls:0,translation:fof_full)...................................................................
% 3.95/4.16
% 3.95/4.16 ********************************
% 3.95/4.16 * All subproblems solved! *
% 3.95/4.16 ********************************
% 3.95/4.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:119,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1574,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.55/4.75
% 4.55/4.75 %**** Beginning of derivation protocol ****
% 4.55/4.75 % SZS output start CNFRefutation
% See solution above
% 4.55/4.75
% 4.55/4.75 %**** End of derivation protocol ****
% 4.55/4.75 %**** no. of clauses in derivation: 1339 ****
% 4.55/4.75 %**** clause counter: 1574 ****
% 4.55/4.75
% 4.55/4.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:119,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1574,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------