%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM926+2 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:58:55 PM UTC 2026
% Result : Theorem 7.02s 5.74s
% Output : CNFRefutation 23.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_924)
% Comments :
%------------------------------------------------------------------------------
fof(fact_591__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N,axiom,
( ~ quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min))
=> legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) != one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_591__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N) ).
fof(conj_0,conjecture,
? [X3,X4] : plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_507__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4_,axiom,
~ ! [X262] :
( is_int(X262)
=> ~ zcong(power_power_int(X262,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_507__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4_) ).
fof(fact_477_not__sum__power2__lt__zero,axiom,
! [X243,X244] : ~ ord_less_real(plus_plus_real(power_power_real(X243,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X244,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_477_not__sum__power2__lt__zero) ).
fof(fact_478_not__sum__power2__lt__zero,axiom,
! [X243,X244] : ~ ord_less_int(plus_plus_int(power_power_int(X243,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X244,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_478_not__sum__power2__lt__zero) ).
fof(fact_502_Euler_Oaux____1,axiom,
! [X22,X21,X150] :
( ~ zcong(X21,zero_zero_int,X150)
=> ( zcong(power_power_int(X22,number_number_of_nat(bit0(bit1(pls)))),X21,X150)
=> ~ dvd_dvd_int(X150,X22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_502_Euler_Oaux____1) ).
fof(fact_449_power2__less__0,axiom,
! [X226] : ~ ord_less_real(power_power_real(X226,number_number_of_nat(bit0(bit1(pls)))),zero_zero_real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_449_power2__less__0) ).
fof(fact_450_power2__less__0,axiom,
! [X226] : ~ ord_less_int(power_power_int(X226,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_450_power2__less__0) ).
fof(fact_620_zcong__neg__1__impl__ne__1,axiom,
! [X21,X150] :
( ord_less_int(number_number_of_int(bit0(bit1(pls))),X150)
=> ( zcong(X21,number_number_of_int(min),X150)
=> ~ zcong(X21,one_one_int,X150) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_620_zcong__neg__1__impl__ne__1) ).
fof(fact_619_one__not__neg__one__mod__m,axiom,
! [X175] :
( ord_less_int(number_number_of_int(bit0(bit1(pls))),X175)
=> ~ zcong(one_one_int,number_number_of_int(min),X175) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_619_one__not__neg__one__mod__m) ).
fof(fact_8_zadd__power3,axiom,
! [X5,X6] : power_power_int(plus_plus_int(X5,X6),number_number_of_nat(bit1(bit1(pls)))) = plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(X5,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(X5,number_number_of_nat(bit0(bit1(pls))))),X6)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),X5),power_power_int(X6,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(X6,number_number_of_nat(bit1(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_zadd__power3) ).
fof(fact_204_Bit0__def,axiom,
! [X23] : bit0(X23) = plus_plus_int(X23,X23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_Bit0__def) ).
fof(fact_251_Bit1__def,axiom,
! [X23] : bit1(X23) = plus_plus_int(plus_plus_int(one_one_int,X23),X23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_Bit1__def) ).
fof(fact_616_zdiff__power3,axiom,
! [X5,X6] : power_power_int(minus_minus_int(X5,X6),number_number_of_nat(bit1(bit1(pls)))) = minus_minus_int(plus_plus_int(minus_minus_int(power_power_int(X5,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(X5,number_number_of_nat(bit0(bit1(pls))))),X6)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),X5),power_power_int(X6,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(X6,number_number_of_nat(bit1(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_616_zdiff__power3) ).
fof(fact_306__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s1,axiom,
? [X3] :
( is_int(X3)
& ord_less_eq_int(zero_zero_int,X3)
& ord_less_int(X3,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& zcong(s1,X3,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& ! [X4] :
( is_int(X4)
=> ( ( ord_less_eq_int(zero_zero_int,X4)
& ord_less_int(X4,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& zcong(s1,X4,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) )
=> X4 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_306__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s1) ).
fof(fact_618_Legendre__1mod4,axiom,
! [X175] :
( zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),X175),one_one_int))
=> legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),X175),one_one_int)) = one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_618_Legendre__1mod4) ).
fof(fact_34__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_,axiom,
~ ! [X16] :
( is_int(X16)
=> plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) != times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_) ).
fof(fact_307__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_,axiom,
~ ! [X158] :
( is_int(X158)
=> ~ ( ord_less_eq_int(zero_zero_int,X158)
& ord_less_int(X158,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& zcong(s1,X158,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_) ).
fof(fact_7_zadd__power2,axiom,
! [X5,X6] : power_power_int(plus_plus_int(X5,X6),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(X5,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X5),X6)),power_power_int(X6,number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_zadd__power2) ).
fof(fact_615_zdiff__power2,axiom,
! [X5,X6] : power_power_int(minus_minus_int(X5,X6),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(minus_minus_int(power_power_int(X5,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X5),X6)),power_power_int(X6,number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_615_zdiff__power2) ).
fof(fact_10_power2__sum,axiom,
! [X7,X8] : power_power_nat(plus_plus_nat(X7,X8),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(plus_plus_nat(power_power_nat(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X8,number_number_of_nat(bit0(bit1(pls))))),times_times_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X7),X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_power2__sum) ).
fof(fact_290_real__sum__squared__expand,axiom,
! [X21,X22] : power_power_real(plus_plus_real(X21,X22),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_real(plus_plus_real(power_power_real(X21,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X22,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X21),X22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_real__sum__squared__expand) ).
fof(fact_9_power2__sum,axiom,
! [X7,X8] : power_power_real(plus_plus_real(X7,X8),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_real(plus_plus_real(power_power_real(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X8,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X7),X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_power2__sum) ).
fof(fact_11_power2__sum,axiom,
! [X7,X8] : power_power_int(plus_plus_int(X7,X8),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X8,number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X7),X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_power2__sum) ).
fof(fact_480_sum__power2__gt__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X8,number_number_of_nat(bit0(bit1(pls))))))
<=> ( X7 != zero_zero_int
| X8 != zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_480_sum__power2__gt__zero__iff) ).
fof(fact_476_sum__power2__le__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( ord_less_eq_int(plus_plus_int(power_power_int(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X8,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
<=> ( X7 = zero_zero_int
& X8 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_476_sum__power2__le__zero__iff) ).
fof(fact_479_sum__power2__gt__zero__iff,axiom,
! [X7,X8] :
( ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X8,number_number_of_nat(bit0(bit1(pls))))))
<=> ( X7 != zero_zero_real
| X8 != zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_479_sum__power2__gt__zero__iff) ).
fof(fact_475_sum__power2__le__zero__iff,axiom,
! [X7,X8] :
( ord_less_eq_real(plus_plus_real(power_power_real(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X8,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_475_sum__power2__le__zero__iff) ).
fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ord_less_int(one_one_int,t)
=> ? [X3,X4] :
( is_int(X3)
& is_int(X4)
& plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( t = one_one_int
=> ? [X3,X4] :
( is_int(X3)
& is_int(X4)
& plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(fact_291_four__x__squared,axiom,
! [X21] : times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),power_power_real(X21,number_number_of_nat(bit0(bit1(pls))))) = power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X21),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_four__x__squared) ).
fof(fact_473_sum__power2__ge__zero,axiom,
! [X241,X242] : ord_less_eq_real(zero_zero_real,plus_plus_real(power_power_real(X241,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X242,number_number_of_nat(bit0(bit1(pls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_473_sum__power2__ge__zero) ).
fof(fact_474_sum__power2__ge__zero,axiom,
! [X241,X242] : ord_less_eq_int(zero_zero_int,plus_plus_int(power_power_int(X241,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X242,number_number_of_nat(bit0(bit1(pls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_474_sum__power2__ge__zero) ).
fof(fact_288_prime__g__5,axiom,
! [X150] :
( is_int(X150)
=> ( zprime(X150)
=> ( X150 != number_number_of_int(bit0(bit1(pls)))
=> ( X150 != number_number_of_int(bit1(bit1(pls)))
=> ord_less_eq_int(number_number_of_int(bit1(bit0(bit1(pls)))),X150) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_prime__g__5) ).
fof(fact_272_quartic__square__square,axiom,
! [X21] : power_power_int(power_power_int(X21,number_number_of_nat(bit0(bit1(pls)))),number_number_of_nat(bit0(bit1(pls)))) = power_power_int(X21,number_number_of_nat(bit0(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_quartic__square__square) ).
fof(fact_505_even__power__le__0__imp__0,axiom,
! [X258,X259] :
( is_int(X258)
=> ( ord_less_eq_int(power_power_int(X258,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X259)),zero_zero_int)
=> X258 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_505_even__power__le__0__imp__0) ).
fof(fact_504_even__power__le__0__imp__0,axiom,
! [X258,X259] :
( ord_less_eq_real(power_power_real(X258,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X259)),zero_zero_real)
=> X258 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_504_even__power__le__0__imp__0) ).
fof(fact_471_power2__less__imp__less,axiom,
! [X239,X240] :
( ord_less_nat(power_power_nat(X239,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X240,number_number_of_nat(bit0(bit1(pls)))))
=> ( ord_less_eq_nat(zero_zero_nat,X240)
=> ord_less_nat(X239,X240) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_471_power2__less__imp__less) ).
fof(fact_444_power2__le__imp__le,axiom,
! [X222,X223] :
( ord_less_eq_nat(power_power_nat(X222,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X223,number_number_of_nat(bit0(bit1(pls)))))
=> ( ord_less_eq_nat(zero_zero_nat,X223)
=> ord_less_eq_nat(X222,X223) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_444_power2__le__imp__le) ).
fof(fact_470_power2__less__imp__less,axiom,
! [X239,X240] :
( ord_less_real(power_power_real(X239,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X240,number_number_of_nat(bit0(bit1(pls)))))
=> ( ord_less_eq_real(zero_zero_real,X240)
=> ord_less_real(X239,X240) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_470_power2__less__imp__less) ).
fof(fact_443_power2__le__imp__le,axiom,
! [X222,X223] :
( ord_less_eq_real(power_power_real(X222,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X223,number_number_of_nat(bit0(bit1(pls)))))
=> ( ord_less_eq_real(zero_zero_real,X223)
=> ord_less_eq_real(X222,X223) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_443_power2__le__imp__le) ).
fof(fact_472_power2__less__imp__less,axiom,
! [X239,X240] :
( ord_less_int(power_power_int(X239,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X240,number_number_of_nat(bit0(bit1(pls)))))
=> ( ord_less_eq_int(zero_zero_int,X240)
=> ord_less_int(X239,X240) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_472_power2__less__imp__less) ).
fof(fact_445_power2__le__imp__le,axiom,
! [X222,X223] :
( ord_less_eq_int(power_power_int(X222,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X223,number_number_of_nat(bit0(bit1(pls)))))
=> ( ord_less_eq_int(zero_zero_int,X223)
=> ord_less_eq_int(X222,X223) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_445_power2__le__imp__le) ).
fof(fact_454_sum__power2__eq__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( plus_plus_int(power_power_int(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X8,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int
<=> ( X7 = zero_zero_int
& X8 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_454_sum__power2__eq__zero__iff) ).
fof(fact_659_realpow__two__sum__zero__iff,axiom,
! [X7,X8] :
( plus_plus_real(power_power_real(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X8,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_659_realpow__two__sum__zero__iff) ).
fof(fact_453_sum__power2__eq__zero__iff,axiom,
! [X7,X8] :
( plus_plus_real(power_power_real(X7,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X8,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_453_sum__power2__eq__zero__iff) ).
fof(fact_627_diff__square,axiom,
! [X21,X22] : minus_minus_nat(power_power_nat(X21,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X22,number_number_of_nat(bit0(bit1(pls))))) = times_times_nat(plus_plus_nat(X21,X22),minus_minus_nat(X21,X22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_627_diff__square) ).
fof(fact_614_zspecial__product,axiom,
! [X5,X6] : times_times_int(plus_plus_int(X5,X6),minus_minus_int(X5,X6)) = minus_minus_int(power_power_int(X5,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X6,number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_614_zspecial__product) ).
fof(fact_481_zero__le__even__power_H,axiom,
! [X245,X246] : ord_less_eq_real(zero_zero_real,power_power_real(X245,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X246))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_481_zero__le__even__power_H) ).
fof(fact_482_zero__le__even__power_H,axiom,
! [X245,X246] : ord_less_eq_int(zero_zero_int,power_power_int(X245,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X246))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_482_zero__le__even__power_H) ).
fof(fact_15_cube__square,axiom,
! [X5] : times_times_int(X5,power_power_int(X5,number_number_of_nat(bit0(bit1(pls))))) = power_power_int(X5,number_number_of_nat(bit1(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_cube__square) ).
fof(fact_658_QuadRes__def,axiom,
! [X196,X7] :
( quadRes(X196,X7)
<=> ? [X4] :
( is_int(X4)
& zcong(power_power_int(X4,number_number_of_nat(bit0(bit1(pls)))),X7,X196) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_658_QuadRes__def) ).
fof(fact_448_power2__eq__imp__eq,axiom,
! [X224,X225] :
( ( is_int(X224)
& is_int(X225) )
=> ( power_power_int(X224,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(X225,number_number_of_nat(bit0(bit1(pls))))
=> ( ord_less_eq_int(zero_zero_int,X224)
=> ( ord_less_eq_int(zero_zero_int,X225)
=> X224 = X225 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_448_power2__eq__imp__eq) ).
fof(fact_447_power2__eq__imp__eq,axiom,
! [X224,X225] :
( power_power_nat(X224,number_number_of_nat(bit0(bit1(pls)))) = power_power_nat(X225,number_number_of_nat(bit0(bit1(pls))))
=> ( ord_less_eq_nat(zero_zero_nat,X224)
=> ( ord_less_eq_nat(zero_zero_nat,X225)
=> X224 = X225 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_447_power2__eq__imp__eq) ).
fof(fact_446_power2__eq__imp__eq,axiom,
! [X224,X225] :
( power_power_real(X224,number_number_of_nat(bit0(bit1(pls)))) = power_power_real(X225,number_number_of_nat(bit0(bit1(pls))))
=> ( ord_less_eq_real(zero_zero_real,X224)
=> ( ord_less_eq_real(zero_zero_real,X225)
=> X224 = X225 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_446_power2__eq__imp__eq) ).
fof(fact_452_zero__less__power2,axiom,
! [X99] :
( is_int(X99)
=> ( ord_less_int(zero_zero_int,power_power_int(X99,number_number_of_nat(bit0(bit1(pls)))))
<=> X99 != zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_452_zero__less__power2) ).
fof(fact_451_zero__less__power2,axiom,
! [X99] :
( ord_less_real(zero_zero_real,power_power_real(X99,number_number_of_nat(bit0(bit1(pls)))))
<=> X99 != zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_451_zero__less__power2) ).
fof(fact_157_power__even__eq,axiom,
! [X89,X90] : power_power_nat(X89,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X90)) = power_power_nat(power_power_nat(X89,X90),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_power__even__eq) ).
fof(fact_158_power__even__eq,axiom,
! [X89,X90] : power_power_real(X89,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X90)) = power_power_real(power_power_real(X89,X90),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_power__even__eq) ).
fof(fact_159_power__even__eq,axiom,
! [X89,X90] : power_power_int(X89,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X90)) = power_power_int(power_power_int(X89,X90),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_power__even__eq) ).
fof(fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
! [X12,X13] : power_power_nat(X12,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X13)) = times_times_nat(power_power_nat(X12,X13),power_power_nat(X12,X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) ).
fof(fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
! [X12,X13] : power_power_real(X12,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X13)) = times_times_real(power_power_real(X12,X13),power_power_real(X12,X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) ).
fof(fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
! [X12,X13] : power_power_int(X12,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X13)) = times_times_int(power_power_int(X12,X13),power_power_int(X12,X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) ).
fof(fact_622_divides__cases,axiom,
! [X174,X175] :
( dvd_dvd_nat(X174,X175)
=> ( X175 = zero_zero_nat
| X175 = X174
| ord_less_eq_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X174),X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_622_divides__cases) ).
fof(fact_574_power__m1__even,axiom,
! [X273] : power_power_real(number267125858f_real(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),X273)) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_574_power__m1__even) ).
fof(fact_575_power__m1__even,axiom,
! [X273] : power_power_int(number_number_of_int(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),X273)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_575_power__m1__even) ).
fof(fact_217_power2__ge__self,axiom,
! [X21] : ord_less_eq_int(X21,power_power_int(X21,number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_power2__ge__self) ).
fof(fact_678_two__realpow__ge__one,axiom,
! [X174] : ord_less_eq_real(one_one_real,power_power_real(number267125858f_real(bit0(bit1(pls))),X174)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_678_two__realpow__ge__one) ).
fof(fact_441_zero__le__power2,axiom,
! [X221] : ord_less_eq_real(zero_zero_real,power_power_real(X221,number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_441_zero__le__power2) ).
fof(fact_442_zero__le__power2,axiom,
! [X221] : ord_less_eq_int(zero_zero_int,power_power_int(X221,number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_442_zero__le__power2) ).
fof(fact_589_neg__one__power__eq__mod__m,axiom,
! [X25,X23,X175] :
( ord_less_int(number_number_of_int(bit0(bit1(pls))),X175)
=> ( zcong(power_power_int(number_number_of_int(min),X25),power_power_int(number_number_of_int(min),X23),X175)
=> power_power_int(number_number_of_int(min),X25) = power_power_int(number_number_of_int(min),X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_589_neg__one__power__eq__mod__m) ).
fof(fact_269_power3__eq__cube,axiom,
! [X145] : power_power_nat(X145,number_number_of_nat(bit1(bit1(pls)))) = times_times_nat(times_times_nat(X145,X145),X145),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_power3__eq__cube) ).
fof(fact_270_power3__eq__cube,axiom,
! [X145] : power_power_real(X145,number_number_of_nat(bit1(bit1(pls)))) = times_times_real(times_times_real(X145,X145),X145),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_power3__eq__cube) ).
fof(fact_271_power3__eq__cube,axiom,
! [X145] : power_power_int(X145,number_number_of_nat(bit1(bit1(pls)))) = times_times_int(times_times_int(X145,X145),X145),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_power3__eq__cube) ).
fof(fact_503_int__pos__lt__two__imp__zero__or__one,axiom,
! [X21] :
( is_int(X21)
=> ( ord_less_eq_int(zero_zero_int,X21)
=> ( ord_less_int(X21,number_number_of_int(bit0(bit1(pls))))
=> ( X21 = zero_zero_int
| X21 = one_one_int ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_503_int__pos__lt__two__imp__zero__or__one) ).
fof(fact_440_zero__eq__power2,axiom,
! [X99] :
( is_int(X99)
=> ( power_power_int(X99,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
<=> X99 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_440_zero__eq__power2) ).
fof(fact_439_zero__eq__power2,axiom,
! [X99] :
( power_power_real(X99,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real
<=> X99 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_439_zero__eq__power2) ).
fof(fact_12_power2__eq__square__number__of,axiom,
! [X9] : power_power_nat(number_number_of_nat(X9),number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(number_number_of_nat(X9),number_number_of_nat(X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_power2__eq__square__number__of) ).
fof(fact_13_power2__eq__square__number__of,axiom,
! [X9] : power_power_real(number267125858f_real(X9),number_number_of_nat(bit0(bit1(pls)))) = times_times_real(number267125858f_real(X9),number267125858f_real(X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_power2__eq__square__number__of) ).
fof(fact_14_power2__eq__square__number__of,axiom,
! [X9] : power_power_int(number_number_of_int(X9),number_number_of_nat(bit0(bit1(pls)))) = times_times_int(number_number_of_int(X9),number_number_of_int(X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_power2__eq__square__number__of) ).
fof(fact_274_semiring__mult__2,axiom,
! [X146] : times_times_nat(number_number_of_nat(bit0(bit1(pls))),X146) = plus_plus_nat(X146,X146),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_semiring__mult__2) ).
fof(fact_60_nat__mult__2,axiom,
! [X18] : times_times_nat(number_number_of_nat(bit0(bit1(pls))),X18) = plus_plus_nat(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_nat__mult__2) ).
fof(fact_276_mult__2,axiom,
! [X147] : times_times_real(number267125858f_real(bit0(bit1(pls))),X147) = plus_plus_real(X147,X147),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_mult__2) ).
fof(fact_273_semiring__mult__2,axiom,
! [X146] : times_times_real(number267125858f_real(bit0(bit1(pls))),X146) = plus_plus_real(X146,X146),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_semiring__mult__2) ).
fof(fact_277_mult__2,axiom,
! [X147] : times_times_int(number_number_of_int(bit0(bit1(pls))),X147) = plus_plus_int(X147,X147),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_mult__2) ).
fof(fact_275_semiring__mult__2,axiom,
! [X146] : times_times_int(number_number_of_int(bit0(bit1(pls))),X146) = plus_plus_int(X146,X146),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_semiring__mult__2) ).
fof(fact_279_semiring__mult__2__right,axiom,
! [X148] : times_times_nat(X148,number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(X148,X148),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_279_semiring__mult__2__right) ).
fof(fact_61_nat__mult__2__right,axiom,
! [X18] : times_times_nat(X18,number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_nat__mult__2__right) ).
fof(fact_22_power2__eq__square,axiom,
! [X11] : power_power_nat(X11,number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_power2__eq__square) ).
fof(fact_281_mult__2__right,axiom,
! [X149] : times_times_real(X149,number267125858f_real(bit0(bit1(pls)))) = plus_plus_real(X149,X149),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_281_mult__2__right) ).
fof(fact_278_semiring__mult__2__right,axiom,
! [X148] : times_times_real(X148,number267125858f_real(bit0(bit1(pls)))) = plus_plus_real(X148,X148),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_278_semiring__mult__2__right) ).
fof(fact_23_power2__eq__square,axiom,
! [X11] : power_power_real(X11,number_number_of_nat(bit0(bit1(pls)))) = times_times_real(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_power2__eq__square) ).
fof(fact_24_power2__eq__square,axiom,
! [X11] : power_power_int(X11,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_power2__eq__square) ).
fof(fact_282_mult__2__right,axiom,
! [X149] : times_times_int(X149,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X149,X149),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_282_mult__2__right) ).
fof(fact_280_semiring__mult__2__right,axiom,
! [X148] : times_times_int(X148,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X148,X148),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_semiring__mult__2__right) ).
fof(fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X10] : times_times_nat(X10,X10) = power_power_nat(X10,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(fact_20_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X10] : times_times_real(X10,X10) = power_power_real(X10,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X10] : times_times_int(X10,X10) = power_power_int(X10,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(fact_64_rel__simps_I17_J,axiom,
! [X38,X39] :
( ord_less_int(bit1(X38),bit1(X39))
<=> ord_less_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_rel__simps_I17_J) ).
fof(fact_63_less__int__code_I16_J,axiom,
! [X36,X37] :
( ord_less_int(bit1(X36),bit1(X37))
<=> ord_less_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_less__int__code_I16_J) ).
fof(fact_66_rel__simps_I34_J,axiom,
! [X38,X39] :
( ord_less_eq_int(bit1(X38),bit1(X39))
<=> ord_less_eq_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_rel__simps_I34_J) ).
fof(fact_65_less__eq__int__code_I16_J,axiom,
! [X36,X37] :
( ord_less_eq_int(bit1(X36),bit1(X37))
<=> ord_less_eq_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_less__eq__int__code_I16_J) ).
fof(fact_655_zcong__zprime__prod__zero__contra,axiom,
! [X6,X5,X150] :
( zprime(X150)
=> ( ord_less_int(zero_zero_int,X5)
=> ( ( ~ zcong(X5,zero_zero_int,X150)
& ~ zcong(X6,zero_zero_int,X150) )
=> ~ zcong(times_times_int(X5,X6),zero_zero_int,X150) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_655_zcong__zprime__prod__zero__contra) ).
fof(fact_653_zcong__zmult__prop3,axiom,
! [X22,X21,X150] :
( zprime(X150)
=> ( ~ zcong(X21,zero_zero_int,X150)
=> ( ~ zcong(X22,zero_zero_int,X150)
=> ~ zcong(times_times_int(X21,X22),zero_zero_int,X150) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_653_zcong__zmult__prop3) ).
fof(fact_266_mult__Bit1,axiom,
! [X23,X109] : times_times_int(bit1(X23),X109) = plus_plus_int(bit0(times_times_int(X23,X109)),X109),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_mult__Bit1) ).
fof(fact_249_add__Bit1__Bit0,axiom,
! [X23,X109] : plus_plus_int(bit1(X23),bit0(X109)) = bit1(plus_plus_int(X23,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_add__Bit1__Bit0) ).
fof(fact_599_diff__bin__simps_I9_J,axiom,
! [X23,X109] : minus_minus_int(bit1(X23),bit0(X109)) = bit1(minus_minus_int(X23,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_599_diff__bin__simps_I9_J) ).
fof(fact_250_add__Bit0__Bit1,axiom,
! [X23,X109] : plus_plus_int(bit0(X23),bit1(X109)) = bit1(plus_plus_int(X23,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_add__Bit0__Bit1) ).
fof(fact_414_not__sum__squares__lt__zero,axiom,
! [X217,X218] : ~ ord_less_real(plus_plus_real(times_times_real(X217,X217),times_times_real(X218,X218)),zero_zero_real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_414_not__sum__squares__lt__zero) ).
fof(fact_415_not__sum__squares__lt__zero,axiom,
! [X217,X218] : ~ ord_less_int(plus_plus_int(times_times_int(X217,X217),times_times_int(X218,X218)),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_415_not__sum__squares__lt__zero) ).
fof(fact_600_diff__bin__simps_I10_J,axiom,
! [X23,X109] : minus_minus_int(bit1(X23),bit1(X109)) = bit0(minus_minus_int(X23,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_600_diff__bin__simps_I10_J) ).
fof(fact_148_rel__simps_I16_J,axiom,
! [X38,X39] :
( ord_less_int(bit1(X38),bit0(X39))
<=> ord_less_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_rel__simps_I16_J) ).
fof(fact_147_less__int__code_I15_J,axiom,
! [X36,X37] :
( ord_less_int(bit1(X36),bit0(X37))
<=> ord_less_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_less__int__code_I15_J) ).
fof(fact_83_rel__simps_I33_J,axiom,
! [X38,X39] :
( ord_less_eq_int(bit1(X38),bit0(X39))
<=> ord_less_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_rel__simps_I33_J) ).
fof(fact_82_less__eq__int__code_I15_J,axiom,
! [X36,X37] :
( ord_less_eq_int(bit1(X36),bit0(X37))
<=> ord_less_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_less__eq__int__code_I15_J) ).
fof(fact_85_rel__simps_I15_J,axiom,
! [X38,X39] :
( ord_less_int(bit0(X38),bit1(X39))
<=> ord_less_eq_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_rel__simps_I15_J) ).
fof(fact_84_less__int__code_I14_J,axiom,
! [X36,X37] :
( ord_less_int(bit0(X36),bit1(X37))
<=> ord_less_eq_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_less__int__code_I14_J) ).
fof(fact_153_rel__simps_I32_J,axiom,
! [X38,X39] :
( ord_less_eq_int(bit0(X38),bit1(X39))
<=> ord_less_eq_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_rel__simps_I32_J) ).
fof(fact_152_less__eq__int__code_I14_J,axiom,
! [X36,X37] :
( ord_less_eq_int(bit0(X36),bit1(X37))
<=> ord_less_eq_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_less__eq__int__code_I14_J) ).
fof(fact_607_diff__bin__simps_I4_J,axiom,
! [X109] : minus_minus_int(pls,bit1(X109)) = bit1(minus_minus_int(min,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_607_diff__bin__simps_I4_J) ).
fof(fact_30_add__special_I3_J,axiom,
! [X15] : plus_plus_real(number267125858f_real(X15),one_one_real) = number267125858f_real(plus_plus_int(X15,bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_add__special_I3_J) ).
fof(fact_31_add__special_I3_J,axiom,
! [X15] : plus_plus_int(number_number_of_int(X15),one_one_int) = number_number_of_int(plus_plus_int(X15,bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_add__special_I3_J) ).
fof(fact_28_add__special_I2_J,axiom,
! [X14] : plus_plus_real(one_one_real,number267125858f_real(X14)) = number267125858f_real(plus_plus_int(bit1(pls),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_add__special_I2_J) ).
fof(fact_29_add__special_I2_J,axiom,
! [X14] : plus_plus_int(one_one_int,number_number_of_int(X14)) = number_number_of_int(plus_plus_int(bit1(pls),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_add__special_I2_J) ).
fof(fact_579_zcong__not,axiom,
! [X6,X175,X5] :
( ord_less_int(zero_zero_int,X5)
=> ( ord_less_int(X5,X175)
=> ( ord_less_int(zero_zero_int,X6)
=> ( ord_less_int(X6,X5)
=> ~ zcong(X5,X6,X175) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_579_zcong__not) ).
fof(fact_407_zprime__power__zdvd__cancel__left,axiom,
! [X174,X6,X5,X150] :
( zprime(X150)
=> ( ~ dvd_dvd_int(X150,X5)
=> ( dvd_dvd_int(power_power_int(X150,X174),times_times_int(X5,X6))
=> dvd_dvd_int(power_power_int(X150,X174),X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_407_zprime__power__zdvd__cancel__left) ).
fof(fact_408_zprime__power__zdvd__cancel__right,axiom,
! [X174,X5,X6,X150] :
( zprime(X150)
=> ( ~ dvd_dvd_int(X150,X6)
=> ( dvd_dvd_int(power_power_int(X150,X174),times_times_int(X5,X6))
=> dvd_dvd_int(power_power_int(X150,X174),X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_408_zprime__power__zdvd__cancel__right) ).
fof(fact_255_mult__numeral__1,axiom,
! [X142] :
( is_int(X142)
=> times_times_int(number_number_of_int(bit1(pls)),X142) = X142 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_mult__numeral__1) ).
fof(fact_257_mult__numeral__1__right,axiom,
! [X143] :
( is_int(X143)
=> times_times_int(X143,number_number_of_int(bit1(pls))) = X143 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_mult__numeral__1__right) ).
fof(fact_254_mult__numeral__1,axiom,
! [X142] : times_times_real(number267125858f_real(bit1(pls)),X142) = X142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_mult__numeral__1) ).
fof(fact_256_mult__numeral__1__right,axiom,
! [X143] : times_times_real(X143,number267125858f_real(bit1(pls))) = X143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_mult__numeral__1__right) ).
fof(fact_524_rel__simps_I9_J,axiom,
! [X38] :
( ord_less_int(min,bit1(X38))
<=> ord_less_int(min,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_524_rel__simps_I9_J) ).
fof(fact_81_rel__simps_I5_J,axiom,
! [X38] :
( ord_less_int(pls,bit1(X38))
<=> ord_less_eq_int(pls,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_rel__simps_I5_J) ).
fof(fact_151_rel__simps_I22_J,axiom,
! [X38] :
( ord_less_eq_int(pls,bit1(X38))
<=> ord_less_eq_int(pls,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_rel__simps_I22_J) ).
fof(fact_530_rel__simps_I26_J,axiom,
! [X38] :
( ord_less_eq_int(min,bit1(X38))
<=> ord_less_eq_int(min,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_530_rel__simps_I26_J) ).
fof(fact_146_rel__simps_I12_J,axiom,
! [X38] :
( ord_less_int(bit1(X38),pls)
<=> ord_less_int(X38,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_rel__simps_I12_J) ).
fof(fact_80_rel__simps_I29_J,axiom,
! [X38] :
( ord_less_eq_int(bit1(X38),pls)
<=> ord_less_int(X38,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_rel__simps_I29_J) ).
fof(fact_523_rel__simps_I13_J,axiom,
! [X38] :
( ord_less_int(bit1(X38),min)
<=> ord_less_int(X38,min) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_523_rel__simps_I13_J) ).
fof(fact_396_bin__less__0__simps_I4_J,axiom,
! [X20] :
( ord_less_int(bit1(X20),zero_zero_int)
<=> ord_less_int(X20,zero_zero_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_396_bin__less__0__simps_I4_J) ).
fof(fact_529_rel__simps_I30_J,axiom,
! [X38] :
( ord_less_eq_int(bit1(X38),min)
<=> ord_less_eq_int(X38,min) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_529_rel__simps_I30_J) ).
fof(fact_608_diff__bin__simps_I6_J,axiom,
! [X109] : minus_minus_int(min,bit1(X109)) = bit0(minus_minus_int(min,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_608_diff__bin__simps_I6_J) ).
fof(fact_609_diff__bin__simps_I5_J,axiom,
! [X109] : minus_minus_int(min,bit0(X109)) = bit1(minus_minus_int(min,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_609_diff__bin__simps_I5_J) ).
fof(fact_561_nat__number__of__mult__left,axiom,
! [X40,X23,X41] :
( ( ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),times_times_nat(number_number_of_nat(X40),X23)) = zero_zero_nat )
& ( ~ ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),times_times_nat(number_number_of_nat(X40),X23)) = times_times_nat(number_number_of_nat(times_times_int(X41,X40)),X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_561_nat__number__of__mult__left) ).
fof(fact_160_less__special_I4_J,axiom,
! [X7] :
( ord_less_real(number267125858f_real(X7),one_one_real)
<=> ord_less_int(X7,bit1(pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_less__special_I4_J) ).
fof(fact_164_le__special_I4_J,axiom,
! [X7] :
( ord_less_eq_real(number267125858f_real(X7),one_one_real)
<=> ord_less_eq_int(X7,bit1(pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_le__special_I4_J) ).
fof(fact_161_less__special_I4_J,axiom,
! [X7] :
( ord_less_int(number_number_of_int(X7),one_one_int)
<=> ord_less_int(X7,bit1(pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_less__special_I4_J) ).
fof(fact_165_le__special_I4_J,axiom,
! [X7] :
( ord_less_eq_int(number_number_of_int(X7),one_one_int)
<=> ord_less_eq_int(X7,bit1(pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_le__special_I4_J) ).
fof(fact_162_less__special_I2_J,axiom,
! [X8] :
( ord_less_real(one_one_real,number267125858f_real(X8))
<=> ord_less_int(bit1(pls),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_less__special_I2_J) ).
fof(fact_166_le__special_I2_J,axiom,
! [X8] :
( ord_less_eq_real(one_one_real,number267125858f_real(X8))
<=> ord_less_eq_int(bit1(pls),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_le__special_I2_J) ).
fof(fact_163_less__special_I2_J,axiom,
! [X8] :
( ord_less_int(one_one_int,number_number_of_int(X8))
<=> ord_less_int(bit1(pls),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_less__special_I2_J) ).
fof(fact_167_le__special_I2_J,axiom,
! [X8] :
( ord_less_eq_int(one_one_int,number_number_of_int(X8))
<=> ord_less_eq_int(bit1(pls),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_le__special_I2_J) ).
fof(fact_138_rel__simps_I51_J,axiom,
! [X38,X39] :
( ( is_int(X38)
& is_int(X39) )
=> ( bit1(X38) = bit1(X39)
<=> X38 = X39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_rel__simps_I51_J) ).
fof(fact_203_add__Bit0__Bit0,axiom,
! [X23,X109] : plus_plus_int(bit0(X23),bit0(X109)) = bit0(plus_plus_int(X23,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_add__Bit0__Bit0) ).
fof(fact_594_diff__bin__simps_I7_J,axiom,
! [X23,X109] : minus_minus_int(bit0(X23),bit0(X109)) = bit0(minus_minus_int(X23,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_594_diff__bin__simps_I7_J) ).
fof(fact_252_number__of__Bit1,axiom,
! [X141] : number267125858f_real(bit1(X141)) = plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(X141)),number267125858f_real(X141)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_number__of__Bit1) ).
fof(fact_253_number__of__Bit1,axiom,
! [X141] : number_number_of_int(bit1(X141)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X141)),number_number_of_int(X141)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_number__of__Bit1) ).
fof(fact_654_divides__div__not,axiom,
! [X21,X279,X174,X278] :
( X21 = plus_plus_nat(times_times_nat(X279,X174),X278)
=> ( ord_less_nat(zero_zero_nat,X278)
=> ( ord_less_nat(X278,X174)
=> ~ dvd_dvd_nat(X174,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_654_divides__div__not) ).
fof(fact_642_zcong__not__zero,axiom,
! [X175,X21] :
( ord_less_int(zero_zero_int,X21)
=> ( ord_less_int(X21,X175)
=> ~ zcong(X21,zero_zero_int,X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_642_zcong__not__zero) ).
fof(fact_69_rel__simps_I14_J,axiom,
! [X38,X39] :
( ord_less_int(bit0(X38),bit0(X39))
<=> ord_less_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_rel__simps_I14_J) ).
fof(fact_68_less__int__code_I13_J,axiom,
! [X36,X37] :
( ord_less_int(bit0(X36),bit0(X37))
<=> ord_less_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_less__int__code_I13_J) ).
fof(fact_72_rel__simps_I31_J,axiom,
! [X38,X39] :
( ord_less_eq_int(bit0(X38),bit0(X39))
<=> ord_less_eq_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_rel__simps_I31_J) ).
fof(fact_71_less__eq__int__code_I13_J,axiom,
! [X36,X37] :
( ord_less_eq_int(bit0(X36),bit0(X37))
<=> ord_less_eq_int(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_less__eq__int__code_I13_J) ).
fof(fact_200_mult__Bit0,axiom,
! [X23,X109] : times_times_int(bit0(X23),X109) = bit0(times_times_int(X23,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_mult__Bit0) ).
fof(fact_621_Legendre__def,axiom,
! [X5,X150] :
( ( zcong(X5,zero_zero_int,X150)
=> legendre(X5,X150) = zero_zero_int )
& ( ~ zcong(X5,zero_zero_int,X150)
=> ( ( quadRes(X150,X5)
=> legendre(X5,X150) = one_one_int )
& ( ~ quadRes(X150,X5)
=> legendre(X5,X150) = number_number_of_int(min) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_621_Legendre__def) ).
fof(fact_601_diff__bin__simps_I3_J,axiom,
! [X109] : minus_minus_int(pls,bit0(X109)) = bit0(minus_minus_int(pls,X109)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_601_diff__bin__simps_I3_J) ).
fof(fact_419_number__of__Bit0,axiom,
! [X219] : number267125858f_real(bit0(X219)) = plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(X219)),number267125858f_real(X219)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_419_number__of__Bit0) ).
fof(fact_420_number__of__Bit0,axiom,
! [X219] : number_number_of_int(bit0(X219)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X219)),number_number_of_int(X219)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_420_number__of__Bit0) ).
fof(fact_49_le__number__of__eq__not__less,axiom,
! [X30,X20] :
( ord_less_eq_nat(number_number_of_nat(X30),number_number_of_nat(X20))
<=> ~ ord_less_nat(number_number_of_nat(X20),number_number_of_nat(X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_le__number__of__eq__not__less) ).
fof(fact_48_le__number__of__eq__not__less,axiom,
! [X30,X20] :
( ord_less_eq_real(number267125858f_real(X30),number267125858f_real(X20))
<=> ~ ord_less_real(number267125858f_real(X20),number267125858f_real(X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_le__number__of__eq__not__less) ).
fof(fact_50_le__number__of__eq__not__less,axiom,
! [X30,X20] :
( ord_less_eq_int(number_number_of_int(X30),number_number_of_int(X20))
<=> ~ ord_less_int(number_number_of_int(X20),number_number_of_int(X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_le__number__of__eq__not__less) ).
fof(gsy_c_Int_OBit1,hypothesis,
! [X1] :
( is_int(X1)
=> is_int(bit1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Int_OBit1) ).
fof(fact_77_add__nat__number__of,axiom,
! [X40,X41] :
( ( ord_less_int(X41,pls)
=> plus_plus_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(X40) )
& ( ~ ord_less_int(X41,pls)
=> ( ( ord_less_int(X40,pls)
=> plus_plus_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(X41) )
& ( ~ ord_less_int(X40,pls)
=> plus_plus_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(plus_plus_int(X41,X40)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_add__nat__number__of) ).
fof(fact_194_rel__simps_I50_J,axiom,
! [X23,X109] : bit1(X23) != bit0(X109),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_rel__simps_I50_J) ).
fof(fact_195_rel__simps_I49_J,axiom,
! [X23,X109] : bit0(X23) != bit1(X109),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_rel__simps_I49_J) ).
fof(fact_150_rel__simps_I4_J,axiom,
! [X38] :
( ord_less_int(pls,bit0(X38))
<=> ord_less_int(pls,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_rel__simps_I4_J) ).
fof(fact_527_rel__simps_I8_J,axiom,
! [X38] :
( ord_less_int(min,bit0(X38))
<=> ord_less_int(min,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_527_rel__simps_I8_J) ).
fof(fact_544_rel__simps_I25_J,axiom,
! [X38] :
( ord_less_eq_int(min,bit0(X38))
<=> ord_less_int(min,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_544_rel__simps_I25_J) ).
fof(fact_155_rel__simps_I21_J,axiom,
! [X38] :
( ord_less_eq_int(pls,bit0(X38))
<=> ord_less_eq_int(pls,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_rel__simps_I21_J) ).
fof(fact_149_rel__simps_I10_J,axiom,
! [X38] :
( ord_less_int(bit0(X38),pls)
<=> ord_less_int(X38,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_rel__simps_I10_J) ).
fof(fact_398_bin__less__0__simps_I3_J,axiom,
! [X20] :
( ord_less_int(bit0(X20),zero_zero_int)
<=> ord_less_int(X20,zero_zero_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_398_bin__less__0__simps_I3_J) ).
fof(fact_154_rel__simps_I27_J,axiom,
! [X38] :
( ord_less_eq_int(bit0(X38),pls)
<=> ord_less_eq_int(X38,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_rel__simps_I27_J) ).
fof(fact_545_rel__simps_I11_J,axiom,
! [X38] :
( ord_less_int(bit0(X38),min)
<=> ord_less_eq_int(X38,min) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_545_rel__simps_I11_J) ).
fof(fact_533_rel__simps_I28_J,axiom,
! [X38] :
( ord_less_eq_int(bit0(X38),min)
<=> ord_less_eq_int(X38,min) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_533_rel__simps_I28_J) ).
fof(fact_267_double__number__of__Bit0,axiom,
! [X144] : times_times_real(plus_plus_real(one_one_real,one_one_real),number267125858f_real(X144)) = number267125858f_real(bit0(X144)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_double__number__of__Bit0) ).
fof(fact_268_double__number__of__Bit0,axiom,
! [X144] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X144)) = number_number_of_int(bit0(X144)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_double__number__of__Bit0) ).
fof(fact_418_le__nat__number__of,axiom,
! [X30,X216] :
( ord_less_eq_nat(number_number_of_nat(X30),number_number_of_nat(X216))
<=> ( ~ ord_less_eq_int(X30,X216)
=> ord_less_eq_int(X30,pls) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_418_le__nat__number__of) ).
fof(fact_562_mult__nat__number__of,axiom,
! [X40,X41] :
( ( ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = zero_zero_nat )
& ( ~ ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(times_times_int(X41,X40)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_562_mult__nat__number__of) ).
fof(fact_514_rel__simps_I43_J,axiom,
! [X39] :
( is_int(X39)
=> ( min = bit1(X39)
<=> min = X39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_514_rel__simps_I43_J) ).
fof(fact_513_rel__simps_I47_J,axiom,
! [X38] :
( is_int(X38)
=> ( bit1(X38) = min
<=> X38 = min ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_513_rel__simps_I47_J) ).
fof(fact_324_zdvd__not__zless,axiom,
! [X174,X175] :
( ord_less_int(zero_zero_int,X175)
=> ( ord_less_int(X175,X174)
=> ~ dvd_dvd_int(X174,X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_zdvd__not__zless) ).
fof(fact_522_not__real__square__gt__zero,axiom,
! [X7] :
( ~ ord_less_real(zero_zero_real,times_times_real(X7,X7))
<=> X7 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_522_not__real__square__gt__zero) ).
fof(fact_139_rel__simps_I48_J,axiom,
! [X38,X39] :
( ( is_int(X38)
& is_int(X39) )
=> ( bit0(X38) = bit0(X39)
<=> X38 = X39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_rel__simps_I48_J) ).
fof(fact_192_rel__simps_I46_J,axiom,
! [X23] : bit1(X23) != pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_rel__simps_I46_J) ).
fof(fact_193_rel__simps_I39_J,axiom,
! [X109] : pls != bit1(X109),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_rel__simps_I39_J) ).
fof(gsy_c_Int_OBit0,hypothesis,
! [X1] :
( is_int(X1)
=> is_int(bit0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Int_OBit0) ).
fof(fact_197_rel__simps_I38_J,axiom,
! [X39] :
( is_int(X39)
=> ( pls = bit0(X39)
<=> pls = X39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_rel__simps_I38_J) ).
fof(fact_196_rel__simps_I44_J,axiom,
! [X38] :
( is_int(X38)
=> ( bit0(X38) = pls
<=> X38 = pls ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_rel__simps_I44_J) ).
fof(fact_518_rel__simps_I45_J,axiom,
! [X23] : bit0(X23) != min,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_518_rel__simps_I45_J) ).
fof(fact_519_rel__simps_I42_J,axiom,
! [X109] : min != bit0(X109),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_519_rel__simps_I42_J) ).
fof(fact_6_qf1pt,axiom,
twoSqu142715416sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_qf1pt) ).
fof(fact_304__096_091s_A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_J_096,axiom,
zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304__096_091s_A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_J_096) ).
fof(fact_588__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096,axiom,
dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_588__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096) ).
fof(fact_287__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096,axiom,
dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096) ).
fof(fact_501_s,axiom,
zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_501_s) ).
fof(fact_308_s1,axiom,
zcong(power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_s1) ).
fof(fact_5_t,axiom,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_t) ).
fof(fact_305_s0p,axiom,
( ord_less_eq_int(zero_zero_int,s)
& ord_less_int(s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& zcong(s1,s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_305_s0p) ).
fof(fact_289__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096,axiom,
twoSqu140629262sum2sq(product_Pair_int_int(s,one_one_int)) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
fof(fact_587__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096,axiom,
quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_587__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096) ).
fof(fact_508__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096,axiom,
legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_508__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096) ).
fof(fact_3_t__l__p,axiom,
ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t__l__p) ).
fof(fact_286_p0,axiom,
ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_p0) ).
fof(fact_4_p,axiom,
zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_p) ).
fof(fact_590__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096,axiom,
minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_590__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).
fof(fact_696_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
ord_less_eq_int(zero_zero_int,number_number_of_int(bit1(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_696_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J) ).
fof(fact_603_xzgcda__linear__aux1,axiom,
! [X5,X278,X6,X175,X269,X272,X174] : plus_plus_int(times_times_int(minus_minus_int(X5,times_times_int(X278,X6)),X175),times_times_int(minus_minus_int(X269,times_times_int(X278,X272)),X174)) = minus_minus_int(plus_plus_int(times_times_int(X5,X175),times_times_int(X269,X174)),times_times_int(X278,plus_plus_int(times_times_int(X6,X175),times_times_int(X272,X174)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_603_xzgcda__linear__aux1) ).
fof(fact_611_mult__sum2sq,axiom,
! [X5,X6,X150,X279] : times_times_int(twoSqu140629262sum2sq(product_Pair_int_int(X5,X6)),twoSqu140629262sum2sq(product_Pair_int_int(X150,X279))) = twoSqu140629262sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(X5,X150),times_times_int(X6,X279)),minus_minus_int(times_times_int(X5,X279),times_times_int(X6,X150)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_611_mult__sum2sq) ).
fof(fact_560_pos2,axiom,
ord_less_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_560_pos2) ).
fof(fact_686_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
ord_less_eq_int(zero_zero_int,number_number_of_int(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_686_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J) ).
fof(fact_437_zero__power2,axiom,
power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_437_zero__power2) ).
fof(fact_17_one__power2,axiom,
power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls)))) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_one__power2) ).
fof(fact_436_zero__power2,axiom,
power_power_real(zero_zero_real,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_436_zero__power2) ).
fof(fact_16_one__power2,axiom,
power_power_real(one_one_real,number_number_of_nat(bit0(bit1(pls)))) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_one__power2) ).
fof(fact_438_zero__power2,axiom,
power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_438_zero__power2) ).
fof(fact_18_one__power2,axiom,
power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls)))) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_one__power2) ).
fof(fact_89_zprime__2,axiom,
zprime(number_number_of_int(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_zprime__2) ).
fof(fact_371_zdvd__period,axiom,
! [X97,X7,X197,X99,X98] :
( dvd_dvd_int(X99,X98)
=> ( dvd_dvd_int(X99,plus_plus_int(X7,X197))
<=> dvd_dvd_int(X99,plus_plus_int(plus_plus_int(X7,times_times_int(X97,X98)),X197)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_371_zdvd__period) ).
fof(fact_684_zdiv__mono2__neg__lemma,axiom,
! [X6,X279,X278,X280,X281,X282] :
( plus_plus_int(times_times_int(X6,X279),X278) = plus_plus_int(times_times_int(X280,X281),X282)
=> ( ord_less_int(plus_plus_int(times_times_int(X280,X281),X282),zero_zero_int)
=> ( ord_less_int(X278,X6)
=> ( ord_less_eq_int(zero_zero_int,X282)
=> ( ord_less_int(zero_zero_int,X280)
=> ( ord_less_eq_int(X280,X6)
=> ord_less_eq_int(X281,X279) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_684_zdiv__mono2__neg__lemma) ).
fof(fact_682_zdiv__mono2__lemma,axiom,
! [X6,X279,X278,X280,X281,X282] :
( plus_plus_int(times_times_int(X6,X279),X278) = plus_plus_int(times_times_int(X280,X281),X282)
=> ( ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X280,X281),X282))
=> ( ord_less_int(X282,X280)
=> ( ord_less_eq_int(zero_zero_int,X278)
=> ( ord_less_int(zero_zero_int,X280)
=> ( ord_less_eq_int(X280,X6)
=> ord_less_eq_int(X279,X281) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_682_zdiv__mono2__lemma) ).
fof(fact_580_zcong__iff__lin,axiom,
! [X99,X100,X196] :
( is_int(X100)
=> ( zcong(X99,X100,X196)
<=> ? [X274] :
( is_int(X274)
& X100 = plus_plus_int(X99,times_times_int(X196,X274)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_580_zcong__iff__lin) ).
fof(fact_681_unique__quotient__lemma,axiom,
! [X6,X281,X282,X279,X278] :
( ord_less_eq_int(plus_plus_int(times_times_int(X6,X281),X282),plus_plus_int(times_times_int(X6,X279),X278))
=> ( ord_less_eq_int(zero_zero_int,X282)
=> ( ord_less_int(X282,X6)
=> ( ord_less_int(X278,X6)
=> ord_less_eq_int(X281,X279) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_681_unique__quotient__lemma) ).
fof(fact_683_unique__quotient__lemma__neg,axiom,
! [X6,X281,X282,X279,X278] :
( ord_less_eq_int(plus_plus_int(times_times_int(X6,X281),X282),plus_plus_int(times_times_int(X6,X279),X278))
=> ( ord_less_eq_int(X278,zero_zero_int)
=> ( ord_less_int(X6,X278)
=> ( ord_less_int(X6,X282)
=> ord_less_eq_int(X279,X281) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_683_unique__quotient__lemma__neg) ).
fof(fact_634_zcong__zmult__prop2,axiom,
! [X97,X98,X99,X100,X196] :
( zcong(X99,X100,X196)
=> ( zcong(X97,times_times_int(X98,X99),X196)
<=> zcong(X97,times_times_int(X98,X100),X196) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_634_zcong__zmult__prop2) ).
fof(fact_635_zcong__zmult__prop1,axiom,
! [X97,X98,X99,X100,X196] :
( zcong(X99,X100,X196)
=> ( zcong(X97,times_times_int(X99,X98),X196)
<=> zcong(X97,times_times_int(X100,X98),X196) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_635_zcong__zmult__prop1) ).
fof(fact_284_semiring__one__add__one__is__two,axiom,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_semiring__one__add__one__is__two) ).
fof(fact_62_nat__1__add__1,axiom,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_nat__1__add__1) ).
fof(fact_283_semiring__one__add__one__is__two,axiom,
plus_plus_real(one_one_real,one_one_real) = number267125858f_real(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_semiring__one__add__one__is__two) ).
fof(fact_32_one__add__one__is__two,axiom,
plus_plus_real(one_one_real,one_one_real) = number267125858f_real(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_one__add__one__is__two) ).
fof(fact_285_semiring__one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_semiring__one__add__one__is__two) ).
fof(fact_33_one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_one__add__one__is__two) ).
fof(fact_612_zcong__square,axiom,
! [X5,X150] :
( zprime(X150)
=> ( ord_less_int(zero_zero_int,X5)
=> ( zcong(times_times_int(X5,X5),one_one_int,X150)
=> ( zcong(X5,one_one_int,X150)
| zcong(X5,minus_minus_int(X150,one_one_int),X150) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_612_zcong__square) ).
fof(fact_569_zcong__zmult,axiom,
! [X269,X272,X5,X6,X175] :
( zcong(X5,X6,X175)
=> ( zcong(X269,X272,X175)
=> zcong(times_times_int(X5,X269),times_times_int(X6,X272),X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_569_zcong__zmult) ).
fof(fact_573_zcong__zadd,axiom,
! [X269,X272,X5,X6,X175] :
( zcong(X5,X6,X175)
=> ( zcong(X269,X272,X175)
=> zcong(plus_plus_int(X5,X269),plus_plus_int(X6,X272),X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_573_zcong__zadd) ).
fof(fact_592_zcong__zdiff,axiom,
! [X269,X272,X5,X6,X175] :
( zcong(X5,X6,X175)
=> ( zcong(X269,X272,X175)
=> zcong(minus_minus_int(X5,X269),minus_minus_int(X6,X272),X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_592_zcong__zdiff) ).
fof(fact_610_inv__not__p__minus__1__aux,axiom,
! [X99,X260] :
( zcong(times_times_int(X99,minus_minus_int(X260,one_one_int)),one_one_int,X260)
<=> zcong(X99,minus_minus_int(X260,one_one_int),X260) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_610_inv__not__p__minus__1__aux) ).
fof(fact_656_zcong__zprime__prod__zero,axiom,
! [X6,X5,X150] :
( zprime(X150)
=> ( ord_less_int(zero_zero_int,X5)
=> ( zcong(times_times_int(X5,X6),zero_zero_int,X150)
=> ( zcong(X5,zero_zero_int,X150)
| zcong(X6,zero_zero_int,X150) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_656_zcong__zprime__prod__zero) ).
fof(fact_369_zcong__zpower__zmult,axiom,
! [X18,X21,X22,X150] :
( zcong(power_power_int(X21,X22),one_one_int,X150)
=> zcong(power_power_int(X21,times_times_nat(X22,X18)),one_one_int,X150) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_369_zcong__zpower__zmult) ).
fof(fact_417_sum__squares__gt__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X7,X7),times_times_int(X8,X8)))
<=> ( X7 != zero_zero_int
| X8 != zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_417_sum__squares__gt__zero__iff) ).
fof(fact_170_crossproduct__eq,axiom,
! [X20,X8,X7,X19] :
( ( is_int(X20)
& is_int(X8)
& is_int(X7)
& is_int(X19) )
=> ( plus_plus_int(times_times_int(X20,X8),times_times_int(X7,X19)) = plus_plus_int(times_times_int(X20,X19),times_times_int(X7,X8))
<=> ( X20 = X7
| X8 = X19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_crossproduct__eq) ).
fof(fact_179_crossproduct__noteq,axiom,
! [X97,X98,X99,X100] :
( ( is_int(X97)
& is_int(X98)
& is_int(X99)
& is_int(X100) )
=> ( ( X99 != X100
& X97 != X98 )
<=> plus_plus_int(times_times_int(X99,X97),times_times_int(X100,X98)) != plus_plus_int(times_times_int(X99,X98),times_times_int(X100,X97)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_crossproduct__noteq) ).
fof(fact_412_sum__squares__le__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( ord_less_eq_int(plus_plus_int(times_times_int(X7,X7),times_times_int(X8,X8)),zero_zero_int)
<=> ( X7 = zero_zero_int
& X8 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_412_sum__squares__le__zero__iff) ).
fof(fact_624_zcong__eq__trans,axiom,
! [X272,X269,X5,X6,X175] :
( zcong(X5,X6,X175)
=> ( X6 = X269
=> ( zcong(X269,X272,X175)
=> zcong(X5,X272,X175) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_624_zcong__eq__trans) ).
fof(fact_416_sum__squares__gt__zero__iff,axiom,
! [X7,X8] :
( ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X7,X7),times_times_real(X8,X8)))
<=> ( X7 != zero_zero_real
| X8 != zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_416_sum__squares__gt__zero__iff) ).
fof(fact_559_zcong__trans,axiom,
! [X269,X5,X6,X175] :
( zcong(X5,X6,X175)
=> ( zcong(X6,X269,X175)
=> zcong(X5,X269,X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_559_zcong__trans) ).
fof(fact_411_sum__squares__le__zero__iff,axiom,
! [X7,X8] :
( ord_less_eq_real(plus_plus_real(times_times_real(X7,X7),times_times_real(X8,X8)),zero_zero_real)
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_411_sum__squares__le__zero__iff) ).
fof(fact_169_crossproduct__eq,axiom,
! [X20,X8,X7,X19] :
( plus_plus_nat(times_times_nat(X20,X8),times_times_nat(X7,X19)) = plus_plus_nat(times_times_nat(X20,X19),times_times_nat(X7,X8))
<=> ( X20 = X7
| X8 = X19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_crossproduct__eq) ).
fof(fact_168_crossproduct__eq,axiom,
! [X20,X8,X7,X19] :
( plus_plus_real(times_times_real(X20,X8),times_times_real(X7,X19)) = plus_plus_real(times_times_real(X20,X19),times_times_real(X7,X8))
<=> ( X20 = X7
| X8 = X19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_crossproduct__eq) ).
fof(fact_178_crossproduct__noteq,axiom,
! [X97,X98,X99,X100] :
( ( X99 != X100
& X97 != X98 )
<=> plus_plus_nat(times_times_nat(X99,X97),times_times_nat(X100,X98)) != plus_plus_nat(times_times_nat(X99,X98),times_times_nat(X100,X97)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_crossproduct__noteq) ).
fof(fact_177_crossproduct__noteq,axiom,
! [X97,X98,X99,X100] :
( ( X99 != X100
& X97 != X98 )
<=> plus_plus_real(times_times_real(X99,X97),times_times_real(X100,X98)) != plus_plus_real(times_times_real(X99,X98),times_times_real(X100,X97)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_crossproduct__noteq) ).
fof(fact_643_zcong__less__eq,axiom,
! [X175,X22,X21] :
( ( is_int(X22)
& is_int(X21) )
=> ( ord_less_int(zero_zero_int,X21)
=> ( ord_less_int(zero_zero_int,X22)
=> ( ord_less_int(zero_zero_int,X175)
=> ( zcong(X21,X22,X175)
=> ( ord_less_int(X21,X175)
=> ( ord_less_int(X22,X175)
=> X21 = X22 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_643_zcong__less__eq) ).
fof(fact_679_q__pos__lemma,axiom,
! [X280,X281,X282] :
( ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X280,X281),X282))
=> ( ord_less_int(X282,X280)
=> ( ord_less_int(zero_zero_int,X280)
=> ord_less_eq_int(zero_zero_int,X281) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_679_q__pos__lemma) ).
fof(fact_613_zcong__square__zless,axiom,
! [X5,X150] :
( is_int(X5)
=> ( zprime(X150)
=> ( ord_less_int(zero_zero_int,X5)
=> ( ord_less_int(X5,X150)
=> ( zcong(times_times_int(X5,X5),one_one_int,X150)
=> ( X5 = one_one_int
| X5 = minus_minus_int(X150,one_one_int) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_613_zcong__square__zless) ).
fof(fact_680_q__neg__lemma,axiom,
! [X280,X281,X282] :
( ord_less_int(plus_plus_int(times_times_int(X280,X281),X282),zero_zero_int)
=> ( ord_less_eq_int(zero_zero_int,X282)
=> ( ord_less_int(zero_zero_int,X280)
=> ord_less_eq_int(X281,zero_zero_int) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_680_q__neg__lemma) ).
fof(fact_639_zcong__zpower,axiom,
! [X18,X21,X22,X175] :
( zcong(X21,X22,X175)
=> zcong(power_power_int(X21,X18),power_power_int(X22,X18),X175) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_639_zcong__zpower) ).
fof(fact_571_zcong__scalar,axiom,
! [X23,X5,X6,X175] :
( zcong(X5,X6,X175)
=> zcong(times_times_int(X5,X23),times_times_int(X6,X23),X175) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_571_zcong__scalar) ).
fof(fact_570_zcong__scalar2,axiom,
! [X23,X5,X6,X175] :
( zcong(X5,X6,X175)
=> zcong(times_times_int(X23,X5),times_times_int(X23,X6),X175) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_570_zcong__scalar2) ).
fof(fact_636_zcong__shift,axiom,
! [X269,X5,X6,X175] :
( zcong(X5,X6,X175)
=> zcong(plus_plus_int(X5,X269),plus_plus_int(X6,X269),X175) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_636_zcong__shift) ).
fof(fact_584_zcong__zless__imp__eq,axiom,
! [X6,X175,X5] :
( ( is_int(X6)
& is_int(X5) )
=> ( ord_less_eq_int(zero_zero_int,X5)
=> ( ord_less_int(X5,X175)
=> ( ord_less_eq_int(zero_zero_int,X6)
=> ( ord_less_int(X6,X175)
=> ( zcong(X5,X6,X175)
=> X5 = X6 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_584_zcong__zless__imp__eq) ).
fof(fact_370_zdvd__reduce,axiom,
! [X38,X159,X196] :
( dvd_dvd_int(X38,plus_plus_int(X159,times_times_int(X38,X196)))
<=> dvd_dvd_int(X38,X159) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_370_zdvd__reduce) ).
fof(fact_405_power__Suc__less,axiom,
! [X212,X213] :
( ord_less_nat(zero_zero_nat,X213)
=> ( ord_less_nat(X213,one_one_nat)
=> ord_less_nat(times_times_nat(X213,power_power_nat(X213,X212)),power_power_nat(X213,X212)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_405_power__Suc__less) ).
fof(fact_404_power__Suc__less,axiom,
! [X212,X213] :
( ord_less_real(zero_zero_real,X213)
=> ( ord_less_real(X213,one_one_real)
=> ord_less_real(times_times_real(X213,power_power_real(X213,X212)),power_power_real(X213,X212)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_404_power__Suc__less) ).
fof(fact_406_power__Suc__less,axiom,
! [X212,X213] :
( ord_less_int(zero_zero_int,X213)
=> ( ord_less_int(X213,one_one_int)
=> ord_less_int(times_times_int(X213,power_power_int(X213,X212)),power_power_int(X213,X212)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_406_power__Suc__less) ).
fof(fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
! [X46,X47,X48,X49] : times_times_nat(times_times_nat(X46,X47),times_times_nat(X48,X49)) = times_times_nat(X48,times_times_nat(times_times_nat(X46,X47),X49)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).
fof(fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
! [X46,X47,X48,X49] : times_times_real(times_times_real(X46,X47),times_times_real(X48,X49)) = times_times_real(X48,times_times_real(times_times_real(X46,X47),X49)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).
fof(fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
! [X46,X47,X48,X49] : times_times_int(times_times_int(X46,X47),times_times_int(X48,X49)) = times_times_int(X48,times_times_int(times_times_int(X46,X47),X49)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).
fof(fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
! [X50,X51,X52,X53] : times_times_nat(times_times_nat(X50,X51),times_times_nat(X52,X53)) = times_times_nat(X50,times_times_nat(X51,times_times_nat(X52,X53))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).
fof(fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
! [X50,X51,X52,X53] : times_times_real(times_times_real(X50,X51),times_times_real(X52,X53)) = times_times_real(X50,times_times_real(X51,times_times_real(X52,X53))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).
fof(fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
! [X50,X51,X52,X53] : times_times_int(times_times_int(X50,X51),times_times_int(X52,X53)) = times_times_int(X50,times_times_int(X51,times_times_int(X52,X53))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).
fof(fact_387_add__scale__eq__noteq,axiom,
! [X207,X208,X209,X210,X211] :
( ( is_int(X207)
& is_int(X208)
& is_int(X211) )
=> ( X211 != zero_zero_int
=> ( ( X209 = X210
& X207 != X208 )
=> plus_plus_int(X209,times_times_int(X211,X207)) != plus_plus_int(X210,times_times_int(X211,X208)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_387_add__scale__eq__noteq) ).
fof(fact_426_odd__less__0,axiom,
! [X19] :
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X19),X19),zero_zero_int)
<=> ord_less_int(X19,zero_zero_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_426_odd__less__0) ).
fof(fact_409_sum__squares__ge__zero,axiom,
! [X214,X215] : ord_less_eq_real(zero_zero_real,plus_plus_real(times_times_real(X214,X214),times_times_real(X215,X215))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_409_sum__squares__ge__zero) ).
fof(fact_410_sum__squares__ge__zero,axiom,
! [X214,X215] : ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X214,X214),times_times_int(X215,X215))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_410_sum__squares__ge__zero) ).
fof(fact_557_zcong__sym,axiom,
! [X99,X100,X196] :
( zcong(X99,X100,X196)
<=> zcong(X100,X99,X196) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_557_zcong__sym) ).
fof(fact_373_power__less__imp__less__base,axiom,
! [X198,X199,X200] :
( ord_less_nat(power_power_nat(X198,X199),power_power_nat(X200,X199))
=> ( ord_less_eq_nat(zero_zero_nat,X200)
=> ord_less_nat(X198,X200) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_373_power__less__imp__less__base) ).
fof(fact_512_nat__power__less__imp__less,axiom,
! [X175,X174,X24] :
( ord_less_nat(zero_zero_nat,X24)
=> ( ord_less_nat(power_power_nat(X24,X175),power_power_nat(X24,X174))
=> ord_less_nat(X175,X174) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_512_nat__power__less__imp__less) ).
fof(fact_496_power__less__imp__less__exp,axiom,
! [X252,X253,X254] :
( ord_less_nat(one_one_nat,X254)
=> ( ord_less_nat(power_power_nat(X254,X252),power_power_nat(X254,X253))
=> ord_less_nat(X252,X253) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_496_power__less__imp__less__exp) ).
fof(fact_493_power__strict__increasing__iff,axiom,
! [X7,X8,X100] :
( ord_less_nat(one_one_nat,X100)
=> ( ord_less_nat(power_power_nat(X100,X7),power_power_nat(X100,X8))
<=> ord_less_nat(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_493_power__strict__increasing__iff) ).
fof(fact_495_power__less__imp__less__exp,axiom,
! [X252,X253,X254] :
( ord_less_real(one_one_real,X254)
=> ( ord_less_real(power_power_real(X254,X252),power_power_real(X254,X253))
=> ord_less_nat(X252,X253) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_495_power__less__imp__less__exp) ).
fof(fact_492_power__strict__increasing__iff,axiom,
! [X7,X8,X100] :
( ord_less_real(one_one_real,X100)
=> ( ord_less_real(power_power_real(X100,X7),power_power_real(X100,X8))
<=> ord_less_nat(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_492_power__strict__increasing__iff) ).
fof(fact_497_power__less__imp__less__exp,axiom,
! [X252,X253,X254] :
( ord_less_int(one_one_int,X254)
=> ( ord_less_int(power_power_int(X254,X252),power_power_int(X254,X253))
=> ord_less_nat(X252,X253) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_497_power__less__imp__less__exp) ).
fof(fact_494_power__strict__increasing__iff,axiom,
! [X7,X8,X100] :
( ord_less_int(one_one_int,X100)
=> ( ord_less_int(power_power_int(X100,X7),power_power_int(X100,X8))
<=> ord_less_nat(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_494_power__strict__increasing__iff) ).
fof(fact_535_power__dvd__imp__le,axiom,
! [X24,X175,X174] :
( dvd_dvd_nat(power_power_nat(X24,X175),power_power_nat(X24,X174))
=> ( ord_less_nat(one_one_nat,X24)
=> ord_less_eq_nat(X175,X174) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_535_power__dvd__imp__le) ).
fof(fact_302_power__increasing__iff,axiom,
! [X7,X8,X100] :
( ord_less_nat(one_one_nat,X100)
=> ( ord_less_eq_nat(power_power_nat(X100,X7),power_power_nat(X100,X8))
<=> ord_less_eq_nat(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_302_power__increasing__iff) ).
fof(fact_299_power__le__imp__le__exp,axiom,
! [X155,X156,X157] :
( ord_less_nat(one_one_nat,X157)
=> ( ord_less_eq_nat(power_power_nat(X157,X155),power_power_nat(X157,X156))
=> ord_less_eq_nat(X155,X156) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_power__le__imp__le__exp) ).
fof(fact_301_power__increasing__iff,axiom,
! [X7,X8,X100] :
( ord_less_real(one_one_real,X100)
=> ( ord_less_eq_real(power_power_real(X100,X7),power_power_real(X100,X8))
<=> ord_less_eq_nat(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_power__increasing__iff) ).
fof(fact_298_power__le__imp__le__exp,axiom,
! [X155,X156,X157] :
( ord_less_real(one_one_real,X157)
=> ( ord_less_eq_real(power_power_real(X157,X155),power_power_real(X157,X156))
=> ord_less_eq_nat(X155,X156) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_power__le__imp__le__exp) ).
fof(fact_303_power__increasing__iff,axiom,
! [X7,X8,X100] :
( ord_less_int(one_one_int,X100)
=> ( ord_less_eq_int(power_power_int(X100,X7),power_power_int(X100,X8))
<=> ord_less_eq_nat(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_303_power__increasing__iff) ).
fof(fact_300_power__le__imp__le__exp,axiom,
! [X155,X156,X157] :
( ord_less_int(one_one_int,X157)
=> ( ord_less_eq_int(power_power_int(X157,X155),power_power_int(X157,X156))
=> ord_less_eq_nat(X155,X156) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300_power__le__imp__le__exp) ).
fof(fact_676_real__mult__less__iff1,axiom,
! [X7,X8,X19] :
( ord_less_real(zero_zero_real,X19)
=> ( ord_less_real(times_times_real(X7,X19),times_times_real(X8,X19))
<=> ord_less_real(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_676_real__mult__less__iff1) ).
fof(fact_372_power__less__imp__less__base,axiom,
! [X198,X199,X200] :
( ord_less_real(power_power_real(X198,X199),power_power_real(X200,X199))
=> ( ord_less_eq_real(zero_zero_real,X200)
=> ord_less_real(X198,X200) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_372_power__less__imp__less__base) ).
fof(fact_675_real__mult__le__cancel__iff1,axiom,
! [X7,X8,X19] :
( ord_less_real(zero_zero_real,X19)
=> ( ord_less_eq_real(times_times_real(X7,X19),times_times_real(X8,X19))
<=> ord_less_eq_real(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_675_real__mult__le__cancel__iff1) ).
fof(fact_674_real__mult__le__cancel__iff2,axiom,
! [X7,X8,X19] :
( ord_less_real(zero_zero_real,X19)
=> ( ord_less_eq_real(times_times_real(X19,X7),times_times_real(X19,X8))
<=> ord_less_eq_real(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_674_real__mult__le__cancel__iff2) ).
fof(fact_374_power__less__imp__less__base,axiom,
! [X198,X199,X200] :
( ord_less_int(power_power_int(X198,X199),power_power_int(X200,X199))
=> ( ord_less_eq_int(zero_zero_int,X200)
=> ord_less_int(X198,X200) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_374_power__less__imp__less__base) ).
fof(fact_293_power__less__power__Suc,axiom,
! [X151,X152] :
( ord_less_nat(one_one_nat,X152)
=> ord_less_nat(power_power_nat(X152,X151),times_times_nat(X152,power_power_nat(X152,X151))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_power__less__power__Suc) ).
fof(fact_292_power__less__power__Suc,axiom,
! [X151,X152] :
( ord_less_real(one_one_real,X152)
=> ord_less_real(power_power_real(X152,X151),times_times_real(X152,power_power_real(X152,X151))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_power__less__power__Suc) ).
fof(fact_294_power__less__power__Suc,axiom,
! [X151,X152] :
( ord_less_int(one_one_int,X152)
=> ord_less_int(power_power_int(X152,X151),times_times_int(X152,power_power_int(X152,X151))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_power__less__power__Suc) ).
fof(fact_219_left__distrib__number__of,axiom,
! [X114,X115,X116] : times_times_nat(plus_plus_nat(X114,X115),number_number_of_nat(X116)) = plus_plus_nat(times_times_nat(X114,number_number_of_nat(X116)),times_times_nat(X115,number_number_of_nat(X116))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_left__distrib__number__of) ).
fof(fact_218_left__distrib__number__of,axiom,
! [X114,X115,X116] : times_times_real(plus_plus_real(X114,X115),number267125858f_real(X116)) = plus_plus_real(times_times_real(X114,number267125858f_real(X116)),times_times_real(X115,number267125858f_real(X116))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_left__distrib__number__of) ).
fof(fact_220_left__distrib__number__of,axiom,
! [X114,X115,X116] : times_times_int(plus_plus_int(X114,X115),number_number_of_int(X116)) = plus_plus_int(times_times_int(X114,number_number_of_int(X116)),times_times_int(X115,number_number_of_int(X116))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_left__distrib__number__of) ).
fof(fact_222_right__distrib__number__of,axiom,
! [X117,X118,X119] : times_times_nat(number_number_of_nat(X117),plus_plus_nat(X118,X119)) = plus_plus_nat(times_times_nat(number_number_of_nat(X117),X118),times_times_nat(number_number_of_nat(X117),X119)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_right__distrib__number__of) ).
fof(fact_221_right__distrib__number__of,axiom,
! [X117,X118,X119] : times_times_real(number267125858f_real(X117),plus_plus_real(X118,X119)) = plus_plus_real(times_times_real(number267125858f_real(X117),X118),times_times_real(number267125858f_real(X117),X119)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_right__distrib__number__of) ).
fof(fact_223_right__distrib__number__of,axiom,
! [X117,X118,X119] : times_times_int(number_number_of_int(X117),plus_plus_int(X118,X119)) = plus_plus_int(times_times_int(number_number_of_int(X117),X118),times_times_int(number_number_of_int(X117),X119)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_right__distrib__number__of) ).
fof(fact_651_Int2_Ozcong__zero,axiom,
! [X175,X21] :
( is_int(X21)
=> ( ord_less_eq_int(zero_zero_int,X21)
=> ( ord_less_int(X21,X175)
=> ( zcong(X21,zero_zero_int,X175)
=> X21 = zero_zero_int ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_651_Int2_Ozcong__zero) ).
fof(fact_585_zcong__zless__0,axiom,
! [X175,X5] :
( is_int(X5)
=> ( ord_less_eq_int(zero_zero_int,X5)
=> ( ord_less_int(X5,X175)
=> ( zcong(X5,zero_zero_int,X175)
=> X5 = zero_zero_int ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_585_zcong__zless__0) ).
fof(fact_386_add__scale__eq__noteq,axiom,
! [X207,X208,X209,X210,X211] :
( X211 != zero_zero_nat
=> ( ( X209 = X210
& X207 != X208 )
=> plus_plus_nat(X209,times_times_nat(X211,X207)) != plus_plus_nat(X210,times_times_nat(X211,X208)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_386_add__scale__eq__noteq) ).
fof(fact_385_add__scale__eq__noteq,axiom,
! [X207,X208,X209,X210,X211] :
( X211 != zero_zero_real
=> ( ( X209 = X210
& X207 != X208 )
=> plus_plus_real(X209,times_times_real(X211,X207)) != plus_plus_real(X210,times_times_real(X211,X208)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_385_add__scale__eq__noteq) ).
fof(fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
! [X42,X43,X44,X45] : times_times_nat(times_times_nat(X42,X43),times_times_nat(X44,X45)) = times_times_nat(times_times_nat(X42,X44),times_times_nat(X43,X45)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J) ).
fof(fact_116_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
! [X68,X69,X70,X71] : plus_plus_nat(plus_plus_nat(X68,X69),plus_plus_nat(X70,X71)) = plus_plus_nat(plus_plus_nat(X68,X70),plus_plus_nat(X69,X71)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).
fof(fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
! [X42,X43,X44,X45] : times_times_real(times_times_real(X42,X43),times_times_real(X44,X45)) = times_times_real(times_times_real(X42,X44),times_times_real(X43,X45)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J) ).
fof(fact_115_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
! [X68,X69,X70,X71] : plus_plus_real(plus_plus_real(X68,X69),plus_plus_real(X70,X71)) = plus_plus_real(plus_plus_real(X68,X70),plus_plus_real(X69,X71)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).
fof(fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
! [X42,X43,X44,X45] : times_times_int(times_times_int(X42,X43),times_times_int(X44,X45)) = times_times_int(times_times_int(X42,X44),times_times_int(X43,X45)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J) ).
fof(fact_117_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
! [X68,X69,X70,X71] : plus_plus_int(plus_plus_int(X68,X69),plus_plus_int(X70,X71)) = plus_plus_int(plus_plus_int(X68,X70),plus_plus_int(X69,X71)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).
fof(fact_237_mult__number__of__left,axiom,
! [X127,X128,X129] : times_times_real(number267125858f_real(X127),times_times_real(number267125858f_real(X128),X129)) = times_times_real(number267125858f_real(times_times_int(X127,X128)),X129),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_mult__number__of__left) ).
fof(fact_243_add__number__of__left,axiom,
! [X134,X135,X136] : plus_plus_real(number267125858f_real(X134),plus_plus_real(number267125858f_real(X135),X136)) = plus_plus_real(number267125858f_real(plus_plus_int(X134,X135)),X136),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_243_add__number__of__left) ).
fof(fact_238_mult__number__of__left,axiom,
! [X127,X128,X129] : times_times_int(number_number_of_int(X127),times_times_int(number_number_of_int(X128),X129)) = times_times_int(number_number_of_int(times_times_int(X127,X128)),X129),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_mult__number__of__left) ).
fof(fact_244_add__number__of__left,axiom,
! [X134,X135,X136] : plus_plus_int(number_number_of_int(X134),plus_plus_int(number_number_of_int(X135),X136)) = plus_plus_int(number_number_of_int(plus_plus_int(X134,X135)),X136),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_add__number__of__left) ).
fof(fact_337_power__strict__mono,axiom,
! [X182,X183,X184] :
( ord_less_nat(X183,X184)
=> ( ord_less_eq_nat(zero_zero_nat,X183)
=> ( ord_less_nat(zero_zero_nat,X182)
=> ord_less_nat(power_power_nat(X183,X182),power_power_nat(X184,X182)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_power__strict__mono) ).
fof(fact_336_power__strict__mono,axiom,
! [X182,X183,X184] :
( ord_less_real(X183,X184)
=> ( ord_less_eq_real(zero_zero_real,X183)
=> ( ord_less_nat(zero_zero_nat,X182)
=> ord_less_real(power_power_real(X183,X182),power_power_real(X184,X182)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_336_power__strict__mono) ).
fof(fact_338_power__strict__mono,axiom,
! [X182,X183,X184] :
( ord_less_int(X183,X184)
=> ( ord_less_eq_int(zero_zero_int,X183)
=> ( ord_less_nat(zero_zero_nat,X182)
=> ord_less_int(power_power_int(X183,X182),power_power_int(X184,X182)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_338_power__strict__mono) ).
fof(fact_379_power__strict__decreasing,axiom,
! [X204,X205,X206] :
( ord_less_nat(X205,X206)
=> ( ord_less_nat(zero_zero_nat,X204)
=> ( ord_less_nat(X204,one_one_nat)
=> ord_less_nat(power_power_nat(X204,X206),power_power_nat(X204,X205)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_379_power__strict__decreasing) ).
fof(fact_376_power__decreasing,axiom,
! [X201,X202,X203] :
( ord_less_eq_nat(X202,X203)
=> ( ord_less_eq_nat(zero_zero_nat,X201)
=> ( ord_less_eq_nat(X201,one_one_nat)
=> ord_less_eq_nat(power_power_nat(X201,X203),power_power_nat(X201,X202)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_376_power__decreasing) ).
fof(fact_378_power__strict__decreasing,axiom,
! [X204,X205,X206] :
( ord_less_nat(X205,X206)
=> ( ord_less_real(zero_zero_real,X204)
=> ( ord_less_real(X204,one_one_real)
=> ord_less_real(power_power_real(X204,X206),power_power_real(X204,X205)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_378_power__strict__decreasing) ).
fof(fact_375_power__decreasing,axiom,
! [X201,X202,X203] :
( ord_less_eq_nat(X202,X203)
=> ( ord_less_eq_real(zero_zero_real,X201)
=> ( ord_less_eq_real(X201,one_one_real)
=> ord_less_eq_real(power_power_real(X201,X203),power_power_real(X201,X202)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_375_power__decreasing) ).
fof(fact_380_power__strict__decreasing,axiom,
! [X204,X205,X206] :
( ord_less_nat(X205,X206)
=> ( ord_less_int(zero_zero_int,X204)
=> ( ord_less_int(X204,one_one_int)
=> ord_less_int(power_power_int(X204,X206),power_power_int(X204,X205)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_380_power__strict__decreasing) ).
fof(fact_377_power__decreasing,axiom,
! [X201,X202,X203] :
( ord_less_eq_nat(X202,X203)
=> ( ord_less_eq_int(zero_zero_int,X201)
=> ( ord_less_eq_int(X201,one_one_int)
=> ord_less_eq_int(power_power_int(X201,X203),power_power_int(X201,X202)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_377_power__decreasing) ).
fof(fact_326_zdvd__mult__cancel,axiom,
! [X23,X175,X174] :
( is_int(X23)
=> ( dvd_dvd_int(times_times_int(X23,X175),times_times_int(X23,X174))
=> ( X23 != zero_zero_int
=> dvd_dvd_int(X175,X174) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_zdvd__mult__cancel) ).
fof(fact_320_power__le__dvd,axiom,
! [X167,X168,X169,X170] :
( dvd_dvd_real(power_power_real(X168,X169),X170)
=> ( ord_less_eq_nat(X167,X169)
=> dvd_dvd_real(power_power_real(X168,X167),X170) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_320_power__le__dvd) ).
fof(fact_318_power__le__dvd,axiom,
! [X167,X168,X169,X170] :
( dvd_dvd_nat(power_power_nat(X168,X169),X170)
=> ( ord_less_eq_nat(X167,X169)
=> dvd_dvd_nat(power_power_nat(X168,X167),X170) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_power__le__dvd) ).
fof(fact_319_power__le__dvd,axiom,
! [X167,X168,X169,X170] :
( dvd_dvd_int(power_power_int(X168,X169),X170)
=> ( ord_less_eq_nat(X167,X169)
=> dvd_dvd_int(power_power_int(X168,X167),X170) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_319_power__le__dvd) ).
fof(fact_604_zcong__def,axiom,
! [X99,X100,X196] :
( zcong(X99,X100,X196)
<=> dvd_dvd_int(X196,minus_minus_int(X99,X100)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_604_zcong__def) ).
fof(fact_323_power__eq__imp__eq__base,axiom,
! [X171,X172,X173] :
( ( is_int(X171)
& is_int(X173) )
=> ( power_power_int(X171,X172) = power_power_int(X173,X172)
=> ( ord_less_eq_int(zero_zero_int,X171)
=> ( ord_less_eq_int(zero_zero_int,X173)
=> ( ord_less_nat(zero_zero_nat,X172)
=> X171 = X173 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_323_power__eq__imp__eq__base) ).
fof(fact_660_self__quotient__aux1,axiom,
! [X278,X279,X5] :
( ord_less_int(zero_zero_int,X5)
=> ( X5 = plus_plus_int(X278,times_times_int(X5,X279))
=> ( ord_less_int(X278,X5)
=> ord_less_eq_int(one_one_int,X279) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_660_self__quotient__aux1) ).
fof(fact_641_nat__mult__dvd__cancel__disj_H,axiom,
! [X196,X38,X159] :
( dvd_dvd_nat(times_times_nat(X196,X38),times_times_nat(X159,X38))
<=> ( X38 = zero_zero_nat
| dvd_dvd_nat(X196,X159) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_641_nat__mult__dvd__cancel__disj_H) ).
fof(fact_646_divides__rev,axiom,
! [X5,X174,X6] :
( dvd_dvd_nat(power_power_nat(X5,X174),power_power_nat(X6,X174))
=> ( X174 != zero_zero_nat
=> dvd_dvd_nat(X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_646_divides__rev) ).
fof(fact_384_sum__squares__eq__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( plus_plus_int(times_times_int(X7,X7),times_times_int(X8,X8)) = zero_zero_int
<=> ( X7 = zero_zero_int
& X8 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_384_sum__squares__eq__zero__iff) ).
fof(fact_586_zprime__zdvd__zmult,axiom,
! [X174,X150,X175] :
( ord_less_eq_int(zero_zero_int,X175)
=> ( zprime(X150)
=> ( dvd_dvd_int(X150,times_times_int(X175,X174))
=> ( dvd_dvd_int(X150,X175)
| dvd_dvd_int(X150,X174) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_586_zprime__zdvd__zmult) ).
fof(fact_685_self__quotient__aux2,axiom,
! [X278,X279,X5] :
( ord_less_int(zero_zero_int,X5)
=> ( X5 = plus_plus_int(X278,times_times_int(X5,X279))
=> ( ord_less_eq_int(zero_zero_int,X278)
=> ord_less_eq_int(X279,one_one_int) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_685_self__quotient__aux2) ).
fof(fact_317_dvd__power__le,axiom,
! [X163,X164,X165,X166] :
( dvd_dvd_real(X165,X166)
=> ( ord_less_eq_nat(X163,X164)
=> dvd_dvd_real(power_power_real(X165,X163),power_power_real(X166,X164)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_317_dvd__power__le) ).
fof(fact_315_dvd__power__le,axiom,
! [X163,X164,X165,X166] :
( dvd_dvd_nat(X165,X166)
=> ( ord_less_eq_nat(X163,X164)
=> dvd_dvd_nat(power_power_nat(X165,X163),power_power_nat(X166,X164)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_315_dvd__power__le) ).
fof(fact_316_dvd__power__le,axiom,
! [X163,X164,X165,X166] :
( dvd_dvd_int(X165,X166)
=> ( ord_less_eq_nat(X163,X164)
=> dvd_dvd_int(power_power_int(X165,X163),power_power_int(X166,X164)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_316_dvd__power__le) ).
fof(fact_55_zadd__zless__mono,axiom,
! [X31,X18,X32,X17] :
( ord_less_int(X32,X17)
=> ( ord_less_eq_int(X31,X18)
=> ord_less_int(plus_plus_int(X32,X31),plus_plus_int(X17,X18)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_zadd__zless__mono) ).
fof(fact_296_power__gt1__lemma,axiom,
! [X153,X154] :
( ord_less_nat(one_one_nat,X154)
=> ord_less_nat(one_one_nat,times_times_nat(X154,power_power_nat(X154,X153))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_power__gt1__lemma) ).
fof(fact_295_power__gt1__lemma,axiom,
! [X153,X154] :
( ord_less_real(one_one_real,X154)
=> ord_less_real(one_one_real,times_times_real(X154,power_power_real(X154,X153))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_power__gt1__lemma) ).
fof(fact_297_power__gt1__lemma,axiom,
! [X153,X154] :
( ord_less_int(one_one_int,X154)
=> ord_less_int(one_one_int,times_times_int(X154,power_power_int(X154,X153))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_power__gt1__lemma) ).
fof(fact_499_power__strict__increasing,axiom,
! [X255,X256,X257] :
( ord_less_nat(X256,X257)
=> ( ord_less_nat(one_one_nat,X255)
=> ord_less_nat(power_power_nat(X255,X256),power_power_nat(X255,X257)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_499_power__strict__increasing) ).
fof(fact_364_power__mono,axiom,
! [X191,X192,X193] :
( ord_less_eq_nat(X192,X193)
=> ( ord_less_eq_nat(zero_zero_nat,X192)
=> ord_less_eq_nat(power_power_nat(X192,X191),power_power_nat(X193,X191)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_364_power__mono) ).
fof(fact_487_power__increasing,axiom,
! [X249,X250,X251] :
( ord_less_eq_nat(X250,X251)
=> ( ord_less_eq_nat(one_one_nat,X249)
=> ord_less_eq_nat(power_power_nat(X249,X250),power_power_nat(X249,X251)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_487_power__increasing) ).
fof(fact_672_real__mult__less__mono2,axiom,
! [X21,X22,X18] :
( ord_less_real(zero_zero_real,X18)
=> ( ord_less_real(X21,X22)
=> ord_less_real(times_times_real(X18,X21),times_times_real(X18,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_672_real__mult__less__mono2) ).
fof(fact_498_power__strict__increasing,axiom,
! [X255,X256,X257] :
( ord_less_nat(X256,X257)
=> ( ord_less_real(one_one_real,X255)
=> ord_less_real(power_power_real(X255,X256),power_power_real(X255,X257)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_498_power__strict__increasing) ).
fof(fact_363_power__mono,axiom,
! [X191,X192,X193] :
( ord_less_eq_real(X192,X193)
=> ( ord_less_eq_real(zero_zero_real,X192)
=> ord_less_eq_real(power_power_real(X192,X191),power_power_real(X193,X191)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_363_power__mono) ).
fof(fact_486_power__increasing,axiom,
! [X249,X250,X251] :
( ord_less_eq_nat(X250,X251)
=> ( ord_less_eq_real(one_one_real,X249)
=> ord_less_eq_real(power_power_real(X249,X250),power_power_real(X249,X251)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_486_power__increasing) ).
fof(fact_500_power__strict__increasing,axiom,
! [X255,X256,X257] :
( ord_less_nat(X256,X257)
=> ( ord_less_int(one_one_int,X255)
=> ord_less_int(power_power_int(X255,X256),power_power_int(X255,X257)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_500_power__strict__increasing) ).
fof(fact_402_zmult__zless__mono2,axiom,
! [X23,X24,X25] :
( ord_less_int(X24,X25)
=> ( ord_less_int(zero_zero_int,X23)
=> ord_less_int(times_times_int(X23,X24),times_times_int(X23,X25)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_402_zmult__zless__mono2) ).
fof(fact_365_power__mono,axiom,
! [X191,X192,X193] :
( ord_less_eq_int(X192,X193)
=> ( ord_less_eq_int(zero_zero_int,X192)
=> ord_less_eq_int(power_power_int(X192,X191),power_power_int(X193,X191)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_365_power__mono) ).
fof(fact_488_power__increasing,axiom,
! [X249,X250,X251] :
( ord_less_eq_nat(X250,X251)
=> ( ord_less_eq_int(one_one_int,X249)
=> ord_less_eq_int(power_power_int(X249,X250),power_power_int(X249,X251)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_488_power__increasing) ).
fof(fact_322_power__eq__imp__eq__base,axiom,
! [X171,X172,X173] :
( power_power_nat(X171,X172) = power_power_nat(X173,X172)
=> ( ord_less_eq_nat(zero_zero_nat,X171)
=> ( ord_less_eq_nat(zero_zero_nat,X173)
=> ( ord_less_nat(zero_zero_nat,X172)
=> X171 = X173 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_322_power__eq__imp__eq__base) ).
fof(fact_321_power__eq__imp__eq__base,axiom,
! [X171,X172,X173] :
( power_power_real(X171,X172) = power_power_real(X173,X172)
=> ( ord_less_eq_real(zero_zero_real,X171)
=> ( ord_less_eq_real(zero_zero_real,X173)
=> ( ord_less_nat(zero_zero_nat,X172)
=> X171 = X173 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_321_power__eq__imp__eq__base) ).
fof(fact_572_zcong__zmult__self,axiom,
! [X5,X175,X6] : zcong(times_times_int(X5,X175),times_times_int(X6,X175),X175),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_572_zcong__zmult__self) ).
fof(fact_172_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
! [X91,X92,X93] : plus_plus_nat(times_times_nat(X91,X92),times_times_nat(X93,X92)) = times_times_nat(plus_plus_nat(X91,X93),X92),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
fof(fact_171_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
! [X91,X92,X93] : plus_plus_real(times_times_real(X91,X92),times_times_real(X93,X92)) = times_times_real(plus_plus_real(X91,X93),X92),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
fof(fact_173_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
! [X91,X92,X93] : plus_plus_int(times_times_int(X91,X92),times_times_int(X93,X92)) = times_times_int(plus_plus_int(X91,X93),X92),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
fof(fact_56_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
! [X33,X34,X35] : times_times_nat(power_power_nat(X33,X34),power_power_nat(X33,X35)) = power_power_nat(X33,plus_plus_nat(X34,X35)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).
fof(fact_57_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
! [X33,X34,X35] : times_times_real(power_power_real(X33,X34),power_power_real(X33,X35)) = power_power_real(X33,plus_plus_nat(X34,X35)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).
fof(fact_58_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
! [X33,X34,X35] : times_times_int(power_power_int(X33,X34),power_power_int(X33,X35)) = power_power_int(X33,plus_plus_nat(X34,X35)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).
fof(fact_175_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
! [X94,X95,X96] : times_times_nat(plus_plus_nat(X94,X95),X96) = plus_plus_nat(times_times_nat(X94,X96),times_times_nat(X95,X96)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
fof(fact_458_power__mult__distrib,axiom,
! [X229,X230,X231] : power_power_nat(times_times_nat(X229,X230),X231) = times_times_nat(power_power_nat(X229,X231),power_power_nat(X230,X231)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_458_power__mult__distrib) ).
fof(fact_189_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X106,X107,X108] : power_power_nat(times_times_nat(X106,X107),X108) = times_times_nat(power_power_nat(X106,X108),power_power_nat(X107,X108)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(fact_671_real__add__mult__distrib,axiom,
! [X86,X87,X17] : times_times_real(plus_plus_real(X86,X87),X17) = plus_plus_real(times_times_real(X86,X17),times_times_real(X87,X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_671_real__add__mult__distrib) ).
fof(fact_174_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
! [X94,X95,X96] : times_times_real(plus_plus_real(X94,X95),X96) = plus_plus_real(times_times_real(X94,X96),times_times_real(X95,X96)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
fof(fact_459_power__mult__distrib,axiom,
! [X229,X230,X231] : power_power_real(times_times_real(X229,X230),X231) = times_times_real(power_power_real(X229,X231),power_power_real(X230,X231)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_459_power__mult__distrib) ).
fof(fact_190_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X106,X107,X108] : power_power_real(times_times_real(X106,X107),X108) = times_times_real(power_power_real(X106,X108),power_power_real(X107,X108)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(fact_460_power__mult__distrib,axiom,
! [X229,X230,X231] : power_power_int(times_times_int(X229,X230),X231) = times_times_int(power_power_int(X229,X231),power_power_int(X230,X231)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_460_power__mult__distrib) ).
fof(fact_191_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X106,X107,X108] : power_power_int(times_times_int(X106,X107),X108) = times_times_int(power_power_int(X106,X108),power_power_int(X107,X108)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(fact_208_zadd__zmult__distrib,axiom,
! [X86,X87,X17] : times_times_int(plus_plus_int(X86,X87),X17) = plus_plus_int(times_times_int(X86,X17),times_times_int(X87,X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_zadd__zmult__distrib) ).
fof(fact_176_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
! [X94,X95,X96] : times_times_int(plus_plus_int(X94,X95),X96) = plus_plus_int(times_times_int(X94,X96),times_times_int(X95,X96)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
fof(fact_595_zdiff__zmult__distrib,axiom,
! [X86,X87,X17] : times_times_int(minus_minus_int(X86,X87),X17) = minus_minus_int(times_times_int(X86,X17),times_times_int(X87,X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_595_zdiff__zmult__distrib) ).
fof(fact_181_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X101,X102,X103] : times_times_nat(X101,plus_plus_nat(X102,X103)) = plus_plus_nat(times_times_nat(X101,X102),times_times_nat(X101,X103)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
fof(fact_461_power__add,axiom,
! [X232,X233,X234] : power_power_nat(X232,plus_plus_nat(X233,X234)) = times_times_nat(power_power_nat(X232,X233),power_power_nat(X232,X234)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_461_power__add) ).
fof(fact_180_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X101,X102,X103] : times_times_real(X101,plus_plus_real(X102,X103)) = plus_plus_real(times_times_real(X101,X102),times_times_real(X101,X103)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
fof(fact_462_power__add,axiom,
! [X232,X233,X234] : power_power_real(X232,plus_plus_nat(X233,X234)) = times_times_real(power_power_real(X232,X233),power_power_real(X232,X234)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_462_power__add) ).
fof(fact_463_power__add,axiom,
! [X232,X233,X234] : power_power_int(X232,plus_plus_nat(X233,X234)) = times_times_int(power_power_int(X232,X233),power_power_int(X232,X234)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_463_power__add) ).
fof(fact_59_zpower__zadd__distrib,axiom,
! [X21,X22,X18] : power_power_int(X21,plus_plus_nat(X22,X18)) = times_times_int(power_power_int(X21,X22),power_power_int(X21,X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_zpower__zadd__distrib) ).
fof(fact_209_zadd__zmult__distrib2,axiom,
! [X17,X86,X87] : times_times_int(X17,plus_plus_int(X86,X87)) = plus_plus_int(times_times_int(X17,X86),times_times_int(X17,X87)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_zadd__zmult__distrib2) ).
fof(fact_182_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X101,X102,X103] : times_times_int(X101,plus_plus_int(X102,X103)) = plus_plus_int(times_times_int(X101,X102),times_times_int(X101,X103)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
fof(fact_596_zdiff__zmult__distrib2,axiom,
! [X17,X86,X87] : times_times_int(X17,minus_minus_int(X86,X87)) = minus_minus_int(times_times_int(X17,X86),times_times_int(X17,X87)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_596_zdiff__zmult__distrib2) ).
fof(fact_677_real__two__squares__add__zero__iff,axiom,
! [X7,X8] :
( plus_plus_real(times_times_real(X7,X7),times_times_real(X8,X8)) = zero_zero_real
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_677_real__two__squares__add__zero__iff) ).
fof(fact_383_sum__squares__eq__zero__iff,axiom,
! [X7,X8] :
( plus_plus_real(times_times_real(X7,X7),times_times_real(X8,X8)) = zero_zero_real
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_383_sum__squares__eq__zero__iff) ).
fof(fact_657_zpower__zdvd__prop2,axiom,
! [X22,X174,X150] :
( zprime(X150)
=> ( dvd_dvd_int(X150,power_power_int(X22,X174))
=> ( ord_less_nat(zero_zero_nat,X174)
=> dvd_dvd_int(X150,X22) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_657_zpower__zdvd__prop2) ).
fof(fact_325_zdvd__antisym__nonneg,axiom,
! [X174,X175] :
( ( is_int(X174)
& is_int(X175) )
=> ( ord_less_eq_int(zero_zero_int,X175)
=> ( ord_less_eq_int(zero_zero_int,X174)
=> ( dvd_dvd_int(X175,X174)
=> ( dvd_dvd_int(X174,X175)
=> X175 = X174 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_325_zdvd__antisym__nonneg) ).
fof(fact_605_Euler_Oaux1,axiom,
! [X5,X21] :
( is_int(X21)
=> ( ord_less_int(zero_zero_int,X21)
=> ( ord_less_int(X21,X5)
=> ( X21 != minus_minus_int(X5,one_one_int)
=> ord_less_int(X21,minus_minus_int(X5,one_one_int)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_605_Euler_Oaux1) ).
fof(fact_625_mult__eq__if,axiom,
! [X174,X175] :
( ( X175 = zero_zero_nat
=> times_times_nat(X175,X174) = zero_zero_nat )
& ( X175 != zero_zero_nat
=> times_times_nat(X175,X174) = plus_plus_nat(X174,times_times_nat(minus_minus_nat(X175,one_one_nat),X174)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_625_mult__eq__if) ).
fof(fact_626_power__eq__if,axiom,
! [X150,X175] :
( ( X175 = zero_zero_nat
=> power_power_nat(X150,X175) = one_one_nat )
& ( X175 != zero_zero_nat
=> power_power_nat(X150,X175) = times_times_nat(X150,power_power_nat(X150,minus_minus_nat(X175,one_one_nat))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_626_power__eq__if) ).
fof(fact_628_divides__add__revr,axiom,
! [X6,X272,X5] :
( dvd_dvd_nat(X272,X5)
=> ( dvd_dvd_nat(X272,plus_plus_nat(X5,X6))
=> dvd_dvd_nat(X272,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_628_divides__add__revr) ).
fof(fact_597_zdvd__zdiffD,axiom,
! [X23,X175,X174] :
( dvd_dvd_int(X23,minus_minus_int(X175,X174))
=> ( dvd_dvd_int(X23,X174)
=> dvd_dvd_int(X23,X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_597_zdvd__zdiffD) ).
fof(fact_567_IntPrimes_Ozcong__zero,axiom,
! [X99,X100] :
( ( is_int(X99)
& is_int(X100) )
=> ( zcong(X99,X100,zero_zero_int)
<=> X99 = X100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_567_IntPrimes_Ozcong__zero) ).
fof(fact_650_zprime__zdvd__zmult__better,axiom,
! [X175,X174,X150] :
( zprime(X150)
=> ( dvd_dvd_int(X150,times_times_int(X175,X174))
=> ( dvd_dvd_int(X150,X175)
| dvd_dvd_int(X150,X174) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_650_zprime__zdvd__zmult__better) ).
fof(fact_648_zcong__eq__zdvd__prop,axiom,
! [X7,X260] :
( zcong(X7,zero_zero_int,X260)
<=> dvd_dvd_int(X260,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_648_zcong__eq__zdvd__prop) ).
fof(fact_647_zcong__zero__equiv__div,axiom,
! [X99,X196] :
( zcong(X99,zero_zero_int,X196)
<=> dvd_dvd_int(X196,X99) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_647_zcong__zero__equiv__div) ).
fof(fact_511_zero__less__power__nat__eq__number__of,axiom,
! [X7,X20] :
( ord_less_nat(zero_zero_nat,power_power_nat(X7,number_number_of_nat(X20)))
<=> ( number_number_of_nat(X20) = zero_zero_nat
| ord_less_nat(zero_zero_nat,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_511_zero__less__power__nat__eq__number__of) ).
fof(fact_212_semiring__mult__number__of,axiom,
! [X110,X111] :
( ord_less_eq_int(pls,X111)
=> ( ord_less_eq_int(pls,X110)
=> times_times_nat(number_number_of_nat(X111),number_number_of_nat(X110)) = number_number_of_nat(times_times_int(X111,X110)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_semiring__mult__number__of) ).
fof(fact_215_semiring__add__number__of,axiom,
! [X112,X113] :
( ord_less_eq_int(pls,X113)
=> ( ord_less_eq_int(pls,X112)
=> plus_plus_nat(number_number_of_nat(X113),number_number_of_nat(X112)) = number_number_of_nat(plus_plus_int(X113,X112)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_semiring__add__number__of) ).
fof(fact_211_semiring__mult__number__of,axiom,
! [X110,X111] :
( ord_less_eq_int(pls,X111)
=> ( ord_less_eq_int(pls,X110)
=> times_times_real(number267125858f_real(X111),number267125858f_real(X110)) = number267125858f_real(times_times_int(X111,X110)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_semiring__mult__number__of) ).
fof(fact_214_semiring__add__number__of,axiom,
! [X112,X113] :
( ord_less_eq_int(pls,X113)
=> ( ord_less_eq_int(pls,X112)
=> plus_plus_real(number267125858f_real(X113),number267125858f_real(X112)) = number267125858f_real(plus_plus_int(X113,X112)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_semiring__add__number__of) ).
fof(fact_213_semiring__mult__number__of,axiom,
! [X110,X111] :
( ord_less_eq_int(pls,X111)
=> ( ord_less_eq_int(pls,X110)
=> times_times_int(number_number_of_int(X111),number_number_of_int(X110)) = number_number_of_int(times_times_int(X111,X110)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_semiring__mult__number__of) ).
fof(fact_216_semiring__add__number__of,axiom,
! [X112,X113] :
( ord_less_eq_int(pls,X113)
=> ( ord_less_eq_int(pls,X112)
=> plus_plus_int(number_number_of_int(X113),number_number_of_int(X112)) = number_number_of_int(plus_plus_int(X113,X112)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_semiring__add__number__of) ).
fof(fact_401_pos__zmult__pos,axiom,
! [X6,X5] :
( ord_less_int(zero_zero_int,X5)
=> ( ord_less_int(zero_zero_int,times_times_int(X5,X6))
=> ord_less_int(zero_zero_int,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_401_pos__zmult__pos) ).
fof(fact_156_zless__add1__eq,axiom,
! [X20,X19] :
( ( is_int(X20)
& is_int(X19) )
=> ( ord_less_int(X20,plus_plus_int(X19,one_one_int))
<=> ( ord_less_int(X20,X19)
| X20 = X19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_zless__add1__eq) ).
fof(fact_329_dvd__power__same,axiom,
! [X176,X177,X178] :
( dvd_dvd_real(X177,X178)
=> dvd_dvd_real(power_power_real(X177,X176),power_power_real(X178,X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_329_dvd__power__same) ).
fof(fact_314_le__imp__power__dvd,axiom,
! [X160,X161,X162] :
( ord_less_eq_nat(X161,X162)
=> dvd_dvd_real(power_power_real(X160,X161),power_power_real(X160,X162)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_314_le__imp__power__dvd) ).
fof(fact_630_divides__mul__r,axiom,
! [X269,X5,X6] :
( dvd_dvd_nat(X5,X6)
=> dvd_dvd_nat(times_times_nat(X5,X269),times_times_nat(X6,X269)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_630_divides__mul__r) ).
fof(fact_629_divides__mul__l,axiom,
! [X269,X5,X6] :
( dvd_dvd_nat(X5,X6)
=> dvd_dvd_nat(times_times_nat(X269,X5),times_times_nat(X269,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_629_divides__mul__l) ).
fof(fact_638_divides__exp,axiom,
! [X174,X21,X22] :
( dvd_dvd_nat(X21,X22)
=> dvd_dvd_nat(power_power_nat(X21,X174),power_power_nat(X22,X174)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_638_divides__exp) ).
fof(fact_327_dvd__power__same,axiom,
! [X176,X177,X178] :
( dvd_dvd_nat(X177,X178)
=> dvd_dvd_nat(power_power_nat(X177,X176),power_power_nat(X178,X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_dvd__power__same) ).
fof(fact_312_le__imp__power__dvd,axiom,
! [X160,X161,X162] :
( ord_less_eq_nat(X161,X162)
=> dvd_dvd_nat(power_power_nat(X160,X161),power_power_nat(X160,X162)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_312_le__imp__power__dvd) ).
fof(fact_328_dvd__power__same,axiom,
! [X176,X177,X178] :
( dvd_dvd_int(X177,X178)
=> dvd_dvd_int(power_power_int(X177,X176),power_power_int(X178,X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_328_dvd__power__same) ).
fof(fact_313_le__imp__power__dvd,axiom,
! [X160,X161,X162] :
( ord_less_eq_nat(X161,X162)
=> dvd_dvd_int(power_power_int(X160,X161),power_power_int(X160,X162)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_313_le__imp__power__dvd) ).
fof(fact_668_real__add__left__mono,axiom,
! [X18,X21,X22] :
( ord_less_eq_real(X21,X22)
=> ord_less_eq_real(plus_plus_real(X18,X21),plus_plus_real(X18,X22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_668_real__add__left__mono) ).
fof(fact_75_zadd__strict__right__mono,axiom,
! [X23,X24,X25] :
( ord_less_int(X24,X25)
=> ord_less_int(plus_plus_int(X24,X23),plus_plus_int(X25,X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_zadd__strict__right__mono) ).
fof(fact_76_zadd__left__mono,axiom,
! [X23,X24,X25] :
( ord_less_eq_int(X24,X25)
=> ord_less_eq_int(plus_plus_int(X23,X24),plus_plus_int(X23,X25)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_zadd__left__mono) ).
fof(fact_388_zprime__zdvd__power,axiom,
! [X5,X174,X150] :
( zprime(X150)
=> ( dvd_dvd_int(X150,power_power_int(X5,X174))
=> dvd_dvd_int(X150,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_388_zprime__zdvd__power) ).
fof(fact_652_zpower__zdvd__prop1,axiom,
! [X150,X22,X174] :
( ord_less_nat(zero_zero_nat,X174)
=> ( dvd_dvd_int(X150,X22)
=> dvd_dvd_int(X150,power_power_int(X22,X174)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_652_zpower__zdvd__prop1) ).
fof(fact_697_realpow__pos__nth,axiom,
! [X5,X174] :
( ord_less_nat(zero_zero_nat,X174)
=> ( ord_less_real(zero_zero_real,X5)
=> ? [X283] :
( ord_less_real(zero_zero_real,X283)
& power_power_real(X283,X174) = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_697_realpow__pos__nth) ).
fof(fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [X54,X55,X56] : times_times_nat(times_times_nat(X54,X55),X56) = times_times_nat(times_times_nat(X54,X56),X55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).
fof(fact_119_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
! [X72,X73,X74] : plus_plus_nat(plus_plus_nat(X72,X73),X74) = plus_plus_nat(plus_plus_nat(X72,X74),X73),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) ).
fof(fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [X54,X55,X56] : times_times_real(times_times_real(X54,X55),X56) = times_times_real(times_times_real(X54,X56),X55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).
fof(fact_118_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
! [X72,X73,X74] : plus_plus_real(plus_plus_real(X72,X73),X74) = plus_plus_real(plus_plus_real(X72,X74),X73),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) ).
fof(fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [X54,X55,X56] : times_times_int(times_times_int(X54,X55),X56) = times_times_int(times_times_int(X54,X56),X55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).
fof(fact_120_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
! [X72,X73,X74] : plus_plus_int(plus_plus_int(X72,X73),X74) = plus_plus_int(plus_plus_int(X72,X74),X73),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) ).
fof(fact_104_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
! [X57,X58,X59] : times_times_nat(times_times_nat(X57,X58),X59) = times_times_nat(X57,times_times_nat(X58,X59)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
fof(fact_455_power__commutes,axiom,
! [X227,X228] : times_times_nat(power_power_nat(X227,X228),X227) = times_times_nat(X227,power_power_nat(X227,X228)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_455_power__commutes) ).
fof(fact_41_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
! [X26,X27,X28] : power_power_nat(power_power_nat(X26,X27),X28) = power_power_nat(X26,times_times_nat(X27,X28)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J) ).
fof(fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
! [X75,X76,X77] : plus_plus_nat(plus_plus_nat(X75,X76),X77) = plus_plus_nat(X75,plus_plus_nat(X76,X77)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_667_real__mult__assoc,axiom,
! [X86,X87,X88] : times_times_real(times_times_real(X86,X87),X88) = times_times_real(X86,times_times_real(X87,X88)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_667_real__mult__assoc) ).
fof(fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
! [X57,X58,X59] : times_times_real(times_times_real(X57,X58),X59) = times_times_real(X57,times_times_real(X58,X59)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
fof(fact_456_power__commutes,axiom,
! [X227,X228] : times_times_real(power_power_real(X227,X228),X227) = times_times_real(X227,power_power_real(X227,X228)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_456_power__commutes) ).
fof(fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
! [X26,X27,X28] : power_power_real(power_power_real(X26,X27),X28) = power_power_real(X26,times_times_nat(X27,X28)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J) ).
fof(fact_121_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
! [X75,X76,X77] : plus_plus_real(plus_plus_real(X75,X76),X77) = plus_plus_real(X75,plus_plus_real(X76,X77)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_47_zpower__zpower,axiom,
! [X21,X22,X18] : power_power_int(power_power_int(X21,X22),X18) = power_power_int(X21,times_times_nat(X22,X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_zpower__zpower) ).
fof(fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
! [X26,X27,X28] : power_power_int(power_power_int(X26,X27),X28) = power_power_int(X26,times_times_nat(X27,X28)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J) ).
fof(fact_457_power__commutes,axiom,
! [X227,X228] : times_times_int(power_power_int(X227,X228),X227) = times_times_int(X227,power_power_int(X227,X228)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_457_power__commutes) ).
fof(fact_140_zmult__assoc,axiom,
! [X86,X87,X88] : times_times_int(times_times_int(X86,X87),X88) = times_times_int(X86,times_times_int(X87,X88)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_zmult__assoc) ).
fof(fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
! [X57,X58,X59] : times_times_int(times_times_int(X57,X58),X59) = times_times_int(X57,times_times_int(X58,X59)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
fof(fact_143_zadd__assoc,axiom,
! [X86,X87,X88] : plus_plus_int(plus_plus_int(X86,X87),X88) = plus_plus_int(X86,plus_plus_int(X87,X88)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_zadd__assoc) ).
fof(fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
! [X75,X76,X77] : plus_plus_int(plus_plus_int(X75,X76),X77) = plus_plus_int(X75,plus_plus_int(X76,X77)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_107_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
! [X60,X61,X62] : times_times_nat(X60,times_times_nat(X61,X62)) = times_times_nat(times_times_nat(X60,X61),X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(fact_467_power__mult,axiom,
! [X236,X237,X238] : power_power_nat(X236,times_times_nat(X237,X238)) = power_power_nat(power_power_nat(X236,X237),X238),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_467_power__mult) ).
fof(fact_125_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X78,X79,X80] : plus_plus_nat(X78,plus_plus_nat(X79,X80)) = plus_plus_nat(plus_plus_nat(X78,X79),X80),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
! [X60,X61,X62] : times_times_real(X60,times_times_real(X61,X62)) = times_times_real(times_times_real(X60,X61),X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(fact_468_power__mult,axiom,
! [X236,X237,X238] : power_power_real(X236,times_times_nat(X237,X238)) = power_power_real(power_power_real(X236,X237),X238),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_468_power__mult) ).
fof(fact_124_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X78,X79,X80] : plus_plus_real(X78,plus_plus_real(X79,X80)) = plus_plus_real(plus_plus_real(X78,X79),X80),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_469_power__mult,axiom,
! [X236,X237,X238] : power_power_int(X236,times_times_nat(X237,X238)) = power_power_int(power_power_int(X236,X237),X238),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_469_power__mult) ).
fof(fact_108_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
! [X60,X61,X62] : times_times_int(X60,times_times_int(X61,X62)) = times_times_int(times_times_int(X60,X61),X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X78,X79,X80] : plus_plus_int(X78,plus_plus_int(X79,X80)) = plus_plus_int(plus_plus_int(X78,X79),X80),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_110_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [X63,X64,X65] : times_times_nat(X63,times_times_nat(X64,X65)) = times_times_nat(X64,times_times_nat(X63,X65)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(fact_128_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
! [X81,X82,X83] : plus_plus_nat(X81,plus_plus_nat(X82,X83)) = plus_plus_nat(X82,plus_plus_nat(X81,X83)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
fof(fact_109_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [X63,X64,X65] : times_times_real(X63,times_times_real(X64,X65)) = times_times_real(X64,times_times_real(X63,X65)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(fact_127_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
! [X81,X82,X83] : plus_plus_real(X81,plus_plus_real(X82,X83)) = plus_plus_real(X82,plus_plus_real(X81,X83)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
fof(fact_111_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [X63,X64,X65] : times_times_int(X63,times_times_int(X64,X65)) = times_times_int(X64,times_times_int(X63,X65)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(fact_144_zadd__left__commute,axiom,
! [X21,X22,X18] : plus_plus_int(X21,plus_plus_int(X22,X18)) = plus_plus_int(X22,plus_plus_int(X21,X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_zadd__left__commute) ).
fof(fact_129_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
! [X81,X82,X83] : plus_plus_int(X81,plus_plus_int(X82,X83)) = plus_plus_int(X82,plus_plus_int(X81,X83)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
fof(fact_549_one__less__power,axiom,
! [X265,X266] :
( ord_less_nat(one_one_nat,X266)
=> ( ord_less_nat(zero_zero_nat,X265)
=> ord_less_nat(one_one_nat,power_power_nat(X266,X265)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_549_one__less__power) ).
fof(fact_673_real__mult__order,axiom,
! [X22,X21] :
( ord_less_real(zero_zero_real,X21)
=> ( ord_less_real(zero_zero_real,X22)
=> ord_less_real(zero_zero_real,times_times_real(X21,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_673_real__mult__order) ).
fof(fact_548_one__less__power,axiom,
! [X265,X266] :
( ord_less_real(one_one_real,X266)
=> ( ord_less_nat(zero_zero_nat,X265)
=> ord_less_real(one_one_real,power_power_real(X266,X265)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_548_one__less__power) ).
fof(fact_550_one__less__power,axiom,
! [X265,X266] :
( ord_less_int(one_one_int,X266)
=> ( ord_less_nat(zero_zero_nat,X265)
=> ord_less_int(one_one_int,power_power_int(X266,X265)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_550_one__less__power) ).
fof(fact_693_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
! [X22,X21] :
( ord_less_eq_int(zero_zero_int,X21)
=> ( ord_less_eq_int(zero_zero_int,X22)
=> ord_less_eq_int(zero_zero_int,times_times_int(X21,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_693_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J) ).
fof(fact_694_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
! [X22,X21] :
( ord_less_eq_int(zero_zero_int,X21)
=> ( ord_less_eq_int(zero_zero_int,X22)
=> ord_less_eq_int(zero_zero_int,plus_plus_int(X21,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_694_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J) ).
fof(fact_645_divides__exp2,axiom,
! [X21,X22,X174] :
( X174 != zero_zero_nat
=> ( dvd_dvd_nat(power_power_nat(X21,X174),X22)
=> dvd_dvd_nat(X21,X22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_645_divides__exp2) ).
fof(fact_413_less__nat__number__of,axiom,
! [X30,X216] :
( ord_less_nat(number_number_of_nat(X30),number_number_of_nat(X216))
<=> ( ( ord_less_int(X30,X216)
=> ord_less_int(pls,X216) )
& ord_less_int(X30,X216) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_413_less__nat__number__of) ).
fof(fact_225_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [X120,X121] : plus_plus_nat(times_times_nat(X120,X121),X121) = times_times_nat(plus_plus_nat(X120,one_one_nat),X121),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_224_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [X120,X121] : plus_plus_real(times_times_real(X120,X121),X121) = times_times_real(plus_plus_real(X120,one_one_real),X121),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_226_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [X120,X121] : plus_plus_int(times_times_int(X120,X121),X121) = times_times_int(plus_plus_int(X120,one_one_int),X121),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_228_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [X122,X123] : plus_plus_nat(X122,times_times_nat(X123,X122)) = times_times_nat(plus_plus_nat(X123,one_one_nat),X122),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).
fof(fact_227_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [X122,X123] : plus_plus_real(X122,times_times_real(X123,X122)) = times_times_real(plus_plus_real(X123,one_one_real),X122),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).
fof(fact_229_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [X122,X123] : plus_plus_int(X122,times_times_int(X123,X122)) = times_times_int(plus_plus_int(X123,one_one_int),X122),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_229_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).
fof(fact_510_zero__less__power__nat__eq,axiom,
! [X7,X159] :
( ord_less_nat(zero_zero_nat,power_power_nat(X7,X159))
<=> ( X159 = zero_zero_nat
| ord_less_nat(zero_zero_nat,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_510_zero__less__power__nat__eq) ).
fof(fact_509_nat__zero__less__power__iff,axiom,
! [X7,X159] :
( ord_less_nat(zero_zero_nat,power_power_nat(X7,X159))
<=> ( ord_less_nat(zero_zero_nat,X7)
| X159 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_509_nat__zero__less__power__iff) ).
fof(fact_662_real__le__eq__diff,axiom,
! [X7,X8] :
( ord_less_eq_real(X7,X8)
<=> ord_less_eq_real(minus_minus_real(X7,X8),zero_zero_real) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_662_real__le__eq__diff) ).
fof(fact_602_less__bin__lemma,axiom,
! [X38,X39] :
( ord_less_int(X38,X39)
<=> ord_less_int(minus_minus_int(X38,X39),zero_zero_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_602_less__bin__lemma) ).
fof(fact_566_Euler_Oaux2,axiom,
! [X6,X5,X269] :
( ord_less_int(X5,X269)
=> ( ord_less_int(X6,X269)
=> ( ord_less_eq_int(X5,X6)
| ord_less_eq_int(X6,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_566_Euler_Oaux2) ).
fof(fact_381_even__less__0__iff,axiom,
! [X99] :
( ord_less_real(plus_plus_real(X99,X99),zero_zero_real)
<=> ord_less_real(X99,zero_zero_real) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_381_even__less__0__iff) ).
fof(fact_382_even__less__0__iff,axiom,
! [X99] :
( ord_less_int(plus_plus_int(X99,X99),zero_zero_int)
<=> ord_less_int(X99,zero_zero_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_382_even__less__0__iff) ).
fof(fact_87_add1__zle__eq,axiom,
! [X20,X19] :
( ord_less_eq_int(plus_plus_int(X20,one_one_int),X19)
<=> ord_less_int(X20,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_add1__zle__eq) ).
fof(fact_606_zle__diff1__eq,axiom,
! [X20,X19] :
( ord_less_eq_int(X20,minus_minus_int(X19,one_one_int))
<=> ord_less_int(X20,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_606_zle__diff1__eq) ).
fof(fact_88_zle__add1__eq__le,axiom,
! [X20,X19] :
( ord_less_int(X20,plus_plus_int(X19,one_one_int))
<=> ord_less_eq_int(X20,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_zle__add1__eq__le) ).
fof(fact_506_zprime__def,axiom,
! [X260] :
( is_int(X260)
=> ( zprime(X260)
<=> ( ord_less_int(one_one_int,X260)
& ! [X261] :
( is_int(X261)
=> ( ( ord_less_eq_int(zero_zero_int,X261)
& dvd_dvd_int(X261,X260) )
=> ( X261 = one_one_int
| X261 = X260 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_506_zprime__def) ).
fof(fact_261_numeral__1__eq__1,axiom,
number267125858f_real(bit1(pls)) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_numeral__1__eq__1) ).
fof(fact_258_semiring__numeral__1__eq__1,axiom,
number267125858f_real(bit1(pls)) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_semiring__numeral__1__eq__1) ).
fof(fact_259_semiring__numeral__1__eq__1,axiom,
number_number_of_nat(bit1(pls)) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_semiring__numeral__1__eq__1) ).
fof(fact_78_nat__numeral__1__eq__1,axiom,
number_number_of_nat(bit1(pls)) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_nat__numeral__1__eq__1) ).
fof(fact_262_numeral__1__eq__1,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_numeral__1__eq__1) ).
fof(fact_260_semiring__numeral__1__eq__1,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_semiring__numeral__1__eq__1) ).
fof(fact_79_Numeral1__eq1__nat,axiom,
one_one_nat = number_number_of_nat(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_Numeral1__eq1__nat) ).
fof(fact_263_semiring__norm_I110_J,axiom,
one_one_real = number267125858f_real(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_semiring__norm_I110_J) ).
fof(fact_265_one__is__num__one,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_one__is__num__one) ).
fof(fact_264_semiring__norm_I110_J,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_semiring__norm_I110_J) ).
fof(fact_490_power__inject__exp,axiom,
! [X196,X159,X99] :
( ord_less_nat(one_one_nat,X99)
=> ( power_power_nat(X99,X196) = power_power_nat(X99,X159)
<=> X196 = X159 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_490_power__inject__exp) ).
fof(fact_489_power__inject__exp,axiom,
! [X196,X159,X99] :
( ord_less_real(one_one_real,X99)
=> ( power_power_real(X99,X196) = power_power_real(X99,X159)
<=> X196 = X159 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_489_power__inject__exp) ).
fof(fact_491_power__inject__exp,axiom,
! [X196,X159,X99] :
( ord_less_int(one_one_int,X99)
=> ( power_power_int(X99,X196) = power_power_int(X99,X159)
<=> X196 = X159 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_491_power__inject__exp) ).
fof(fact_40_zle__antisym,axiom,
! [X18,X17] :
( ( is_int(X18)
& is_int(X17) )
=> ( ord_less_eq_int(X18,X17)
=> ( ord_less_eq_int(X17,X18)
=> X18 = X17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_zle__antisym) ).
fof(fact_553_dvd__power,axiom,
! [X267,X268] :
( ( ord_less_nat(zero_zero_nat,X268)
| X267 = one_one_real )
=> dvd_dvd_real(X267,power_power_real(X267,X268)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_553_dvd__power) ).
fof(fact_551_dvd__power,axiom,
! [X267,X268] :
( ( ord_less_nat(zero_zero_nat,X268)
| X267 = one_one_nat )
=> dvd_dvd_nat(X267,power_power_nat(X267,X268)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_551_dvd__power) ).
fof(fact_552_dvd__power,axiom,
! [X267,X268] :
( ( ord_less_nat(zero_zero_nat,X268)
| X267 = one_one_int )
=> dvd_dvd_int(X267,power_power_int(X267,X268)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_552_dvd__power) ).
fof(fact_86_zless__imp__add1__zle,axiom,
! [X17,X18] :
( ord_less_int(X17,X18)
=> ord_less_eq_int(plus_plus_int(X17,one_one_int),X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_zless__imp__add1__zle) ).
fof(fact_688_real__le__trans,axiom,
! [X23,X24,X25] :
( ord_less_eq_real(X24,X25)
=> ( ord_less_eq_real(X25,X23)
=> ord_less_eq_real(X24,X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_688_real__le__trans) ).
fof(fact_39_zle__trans,axiom,
! [X23,X24,X25] :
( ord_less_eq_int(X24,X25)
=> ( ord_less_eq_int(X25,X23)
=> ord_less_eq_int(X24,X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_zle__trans) ).
fof(fact_367_zero__less__power,axiom,
! [X194,X195] :
( ord_less_nat(zero_zero_nat,X195)
=> ord_less_nat(zero_zero_nat,power_power_nat(X195,X194)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_367_zero__less__power) ).
fof(fact_361_zero__le__power,axiom,
! [X189,X190] :
( ord_less_eq_nat(zero_zero_nat,X190)
=> ord_less_eq_nat(zero_zero_nat,power_power_nat(X190,X189)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_361_zero__le__power) ).
fof(fact_484_one__le__power,axiom,
! [X247,X248] :
( ord_less_eq_nat(one_one_nat,X248)
=> ord_less_eq_nat(one_one_nat,power_power_nat(X248,X247)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_484_one__le__power) ).
fof(fact_366_zero__less__power,axiom,
! [X194,X195] :
( ord_less_real(zero_zero_real,X195)
=> ord_less_real(zero_zero_real,power_power_real(X195,X194)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_366_zero__less__power) ).
fof(fact_360_zero__le__power,axiom,
! [X189,X190] :
( ord_less_eq_real(zero_zero_real,X190)
=> ord_less_eq_real(zero_zero_real,power_power_real(X190,X189)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_360_zero__le__power) ).
fof(fact_483_one__le__power,axiom,
! [X247,X248] :
( ord_less_eq_real(one_one_real,X248)
=> ord_less_eq_real(one_one_real,power_power_real(X248,X247)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_483_one__le__power) ).
fof(fact_368_zero__less__power,axiom,
! [X194,X195] :
( ord_less_int(zero_zero_int,X195)
=> ord_less_int(zero_zero_int,power_power_int(X195,X194)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_368_zero__less__power) ).
fof(fact_695_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
! [X174,X21] :
( ord_less_eq_int(zero_zero_int,X21)
=> ord_less_eq_int(zero_zero_int,power_power_int(X21,X174)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_695_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J) ).
fof(fact_362_zero__le__power,axiom,
! [X189,X190] :
( ord_less_eq_int(zero_zero_int,X190)
=> ord_less_eq_int(zero_zero_int,power_power_int(X190,X189)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_zero__le__power) ).
fof(fact_485_one__le__power,axiom,
! [X247,X248] :
( ord_less_eq_int(one_one_int,X248)
=> ord_less_eq_int(one_one_int,power_power_int(X248,X247)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_485_one__le__power) ).
fof(fact_425_pos__zmult__eq__1__iff,axiom,
! [X159,X196] :
( ( is_int(X159)
& is_int(X196) )
=> ( ord_less_int(zero_zero_int,X196)
=> ( times_times_int(X196,X159) = one_one_int
<=> ( X196 = one_one_int
& X159 = one_one_int ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_425_pos__zmult__eq__1__iff) ).
fof(fact_403_odd__nonzero,axiom,
! [X18] : plus_plus_int(plus_plus_int(one_one_int,X18),X18) != zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_403_odd__nonzero) ).
fof(fact_335_zdvd__imp__le,axiom,
! [X18,X174] :
( dvd_dvd_int(X18,X174)
=> ( ord_less_int(zero_zero_int,X174)
=> ord_less_eq_int(X18,X174) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_zdvd__imp__le) ).
fof(fact_51_less__number__of,axiom,
! [X7,X8] :
( ord_less_real(number267125858f_real(X7),number267125858f_real(X8))
<=> ord_less_int(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_less__number__of) ).
fof(fact_73_less__number__of__int__code,axiom,
! [X38,X39] :
( ord_less_int(number_number_of_int(X38),number_number_of_int(X39))
<=> ord_less_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_less__number__of__int__code) ).
fof(fact_52_less__number__of,axiom,
! [X7,X8] :
( ord_less_int(number_number_of_int(X7),number_number_of_int(X8))
<=> ord_less_int(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_less__number__of) ).
fof(fact_53_le__number__of,axiom,
! [X7,X8] :
( ord_less_eq_real(number267125858f_real(X7),number267125858f_real(X8))
<=> ord_less_eq_int(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_le__number__of) ).
fof(fact_74_less__eq__number__of__int__code,axiom,
! [X38,X39] :
( ord_less_eq_int(number_number_of_int(X38),number_number_of_int(X39))
<=> ord_less_eq_int(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_less__eq__number__of__int__code) ).
fof(fact_54_le__number__of,axiom,
! [X7,X8] :
( ord_less_eq_int(number_number_of_int(X7),number_number_of_int(X8))
<=> ord_less_eq_int(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_le__number__of) ).
fof(fact_239_arith__simps_I32_J,axiom,
! [X130,X131] : times_times_real(number267125858f_real(X130),number267125858f_real(X131)) = number267125858f_real(times_times_int(X130,X131)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_arith__simps_I32_J) ).
fof(fact_245_add__number__of__eq,axiom,
! [X137,X138] : plus_plus_real(number267125858f_real(X137),number267125858f_real(X138)) = number267125858f_real(plus_plus_int(X137,X138)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_add__number__of__eq) ).
fof(fact_240_arith__simps_I32_J,axiom,
! [X130,X131] : times_times_int(number_number_of_int(X130),number_number_of_int(X131)) = number_number_of_int(times_times_int(X130,X131)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_arith__simps_I32_J) ).
fof(fact_207_times__numeral__code_I5_J,axiom,
! [X41,X17] : times_times_int(number_number_of_int(X41),number_number_of_int(X17)) = number_number_of_int(times_times_int(X41,X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_times__numeral__code_I5_J) ).
fof(fact_246_add__number__of__eq,axiom,
! [X137,X138] : plus_plus_int(number_number_of_int(X137),number_number_of_int(X138)) = number_number_of_int(plus_plus_int(X137,X138)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_add__number__of__eq) ).
fof(fact_210_plus__numeral__code_I9_J,axiom,
! [X41,X17] : plus_plus_int(number_number_of_int(X41),number_number_of_int(X17)) = number_number_of_int(plus_plus_int(X41,X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_plus__numeral__code_I9_J) ).
fof(fact_241_number__of__mult,axiom,
! [X132,X133] : number267125858f_real(times_times_int(X132,X133)) = times_times_real(number267125858f_real(X132),number267125858f_real(X133)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_number__of__mult) ).
fof(fact_247_number__of__add,axiom,
! [X139,X140] : number267125858f_real(plus_plus_int(X139,X140)) = plus_plus_real(number267125858f_real(X139),number267125858f_real(X140)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_number__of__add) ).
fof(fact_242_number__of__mult,axiom,
! [X132,X133] : number_number_of_int(times_times_int(X132,X133)) = times_times_int(number_number_of_int(X132),number_number_of_int(X133)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_number__of__mult) ).
fof(fact_248_number__of__add,axiom,
! [X139,X140] : number_number_of_int(plus_plus_int(X139,X140)) = plus_plus_int(number_number_of_int(X139),number_number_of_int(X140)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_number__of__add) ).
fof(fact_598_number__of__diff,axiom,
! [X276,X277] : number_number_of_int(minus_minus_int(X276,X277)) = minus_minus_int(number_number_of_int(X276),number_number_of_int(X277)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_598_number__of__diff) ).
fof(fact_435_le__imp__0__less,axiom,
! [X18] :
( ord_less_eq_int(zero_zero_int,X18)
=> ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_435_le__imp__0__less) ).
fof(fact_558_zcong__refl,axiom,
! [X23,X175] : zcong(X23,X23,X175),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_558_zcong__refl) ).
fof(fact_565_order__le__neq__implies__less,axiom,
! [X270,X271] :
( ( is_int(X270)
& is_int(X271) )
=> ( ord_less_eq_int(X270,X271)
=> ( X270 != X271
=> ord_less_int(X270,X271) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_565_order__le__neq__implies__less) ).
fof(fact_37_zless__le,axiom,
! [X19,X20] :
( ( is_int(X19)
& is_int(X20) )
=> ( ord_less_int(X19,X20)
<=> ( ord_less_eq_int(X19,X20)
& X19 != X20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_zless__le) ).
fof(fact_631_zcong__id,axiom,
! [X175] : zcong(X175,zero_zero_int,X175),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_631_zcong__id) ).
fof(fact_568_zcong__1,axiom,
! [X5,X6] : zcong(X5,X6,one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_568_zcong__1) ).
fof(fact_644_zdvd__bounds,axiom,
! [X174,X175] :
( dvd_dvd_int(X174,X175)
=> ( ord_less_eq_int(X175,zero_zero_int)
| ord_less_eq_int(X174,X175) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_644_zdvd__bounds) ).
fof(fact_670_real__mult__right__cancel,axiom,
! [X99,X100,X97] :
( X97 != zero_zero_real
=> ( times_times_real(X99,X97) = times_times_real(X100,X97)
<=> X99 = X100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_670_real__mult__right__cancel) ).
fof(fact_669_real__mult__left__cancel,axiom,
! [X99,X100,X97] :
( X97 != zero_zero_real
=> ( times_times_real(X97,X99) = times_times_real(X97,X100)
<=> X99 = X100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_669_real__mult__left__cancel) ).
fof(fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X124] : plus_plus_nat(X124,X124) = times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),X124),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_230_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X124] : plus_plus_real(X124,X124) = times_times_real(plus_plus_real(one_one_real,one_one_real),X124),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X124] : plus_plus_int(X124,X124) = times_times_int(plus_plus_int(one_one_int,one_one_int),X124),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_623_divides__antisym,axiom,
! [X7,X8] :
( ( dvd_dvd_nat(X7,X8)
& dvd_dvd_nat(X8,X7) )
<=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_623_divides__antisym) ).
fof(fact_687_real__le__antisym,axiom,
! [X18,X17] :
( ord_less_eq_real(X18,X17)
=> ( ord_less_eq_real(X17,X18)
=> X18 = X17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_687_real__le__antisym) ).
fof(fact_578_power__eq__0__iff__number__of,axiom,
! [X99,X20] :
( is_int(X99)
=> ( power_power_int(X99,number_number_of_nat(X20)) = zero_zero_int
<=> ( X99 = zero_zero_int
& number_number_of_nat(X20) != zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_578_power__eq__0__iff__number__of) ).
fof(fact_633_Int2_Oaux1,axiom,
! [X5,X6,X269] :
( is_int(X5)
=> ( minus_minus_int(X5,X6) = X269
=> X5 = plus_plus_int(X269,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_633_Int2_Oaux1) ).
fof(fact_38_zless__linear,axiom,
! [X21,X22] :
( ( is_int(X21)
& is_int(X22) )
=> ( ord_less_int(X21,X22)
| X21 = X22
| ord_less_int(X22,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_zless__linear) ).
fof(fact_90_is__mult__sum2sq,axiom,
! [X22,X21] :
( twoSqu142715416sum2sq(X21)
=> ( twoSqu142715416sum2sq(X22)
=> twoSqu142715416sum2sq(times_times_int(X21,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_is__mult__sum2sq) ).
fof(gsy_c_Residues_OLegendre,axiom,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(legendre(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Residues_OLegendre) ).
fof(gsy_c_Groups_Otimes__class_Otimes_000tc__Int__Oint,hypothesis,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(times_times_int(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Groups_Otimes__class_Otimes_000tc__Int__Oint) ).
fof(gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint,hypothesis,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(plus_plus_int(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint) ).
fof(gsy_c_Groups_Ominus__class_Ominus_000tc__Int__Oint,axiom,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(minus_minus_int(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Groups_Ominus__class_Ominus_000tc__Int__Oint) ).
fof(fact_554_less__0__number__of,axiom,
! [X30] :
( ord_less_nat(zero_zero_nat,number_number_of_nat(X30))
<=> ord_less_int(pls,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_554_less__0__number__of) ).
fof(fact_427_less__special_I1_J,axiom,
! [X8] :
( ord_less_real(zero_zero_real,number267125858f_real(X8))
<=> ord_less_int(pls,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_427_less__special_I1_J) ).
fof(fact_428_less__special_I1_J,axiom,
! [X8] :
( ord_less_int(zero_zero_int,number_number_of_int(X8))
<=> ord_less_int(pls,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_428_less__special_I1_J) ).
fof(fact_431_le__special_I1_J,axiom,
! [X8] :
( ord_less_eq_real(zero_zero_real,number267125858f_real(X8))
<=> ord_less_eq_int(pls,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_431_le__special_I1_J) ).
fof(fact_432_le__special_I1_J,axiom,
! [X8] :
( ord_less_eq_int(zero_zero_int,number_number_of_int(X8))
<=> ord_less_eq_int(pls,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_432_le__special_I1_J) ).
fof(fact_429_less__special_I3_J,axiom,
! [X7] :
( ord_less_real(number267125858f_real(X7),zero_zero_real)
<=> ord_less_int(X7,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_429_less__special_I3_J) ).
fof(fact_430_less__special_I3_J,axiom,
! [X7] :
( ord_less_int(number_number_of_int(X7),zero_zero_int)
<=> ord_less_int(X7,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_430_less__special_I3_J) ).
fof(fact_433_le__special_I3_J,axiom,
! [X7] :
( ord_less_eq_real(number267125858f_real(X7),zero_zero_real)
<=> ord_less_eq_int(X7,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_433_le__special_I3_J) ).
fof(fact_434_le__special_I3_J,axiom,
! [X7] :
( ord_less_eq_int(number_number_of_int(X7),zero_zero_int)
<=> ord_less_eq_int(X7,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_434_le__special_I3_J) ).
fof(fact_547_zmult__eq__1__iff,axiom,
! [X196,X159] :
( ( is_int(X196)
& is_int(X159) )
=> ( times_times_int(X196,X159) = one_one_int
<=> ( ( X196 = one_one_int
& X159 = one_one_int )
| ( X196 = number_number_of_int(min)
& X159 = number_number_of_int(min) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_547_zmult__eq__1__iff) ).
fof(fact_353_add__0__iff,axiom,
! [X100,X99] :
( ( is_int(X100)
& is_int(X99) )
=> ( X100 = plus_plus_int(X100,X99)
<=> X99 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_353_add__0__iff) ).
fof(fact_577_power__eq__0__iff__number__of,axiom,
! [X99,X20] :
( power_power_nat(X99,number_number_of_nat(X20)) = zero_zero_nat
<=> ( X99 = zero_zero_nat
& number_number_of_nat(X20) != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_577_power__eq__0__iff__number__of) ).
fof(fact_576_power__eq__0__iff__number__of,axiom,
! [X99,X20] :
( power_power_real(X99,number_number_of_nat(X20)) = zero_zero_real
<=> ( X99 = zero_zero_real
& number_number_of_nat(X20) != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_576_power__eq__0__iff__number__of) ).
fof(fact_564_order__le__neq__implies__less,axiom,
! [X270,X271] :
( ord_less_eq_nat(X270,X271)
=> ( X270 != X271
=> ord_less_nat(X270,X271) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_564_order__le__neq__implies__less) ).
fof(fact_664_less__eq__real__def,axiom,
! [X7,X8] :
( ord_less_eq_real(X7,X8)
<=> ( ord_less_real(X7,X8)
| X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_664_less__eq__real__def) ).
fof(fact_663_real__less__def,axiom,
! [X7,X8] :
( ord_less_real(X7,X8)
<=> ( ord_less_eq_real(X7,X8)
& X7 != X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_663_real__less__def) ).
fof(fact_563_order__le__neq__implies__less,axiom,
! [X270,X271] :
( ord_less_eq_real(X270,X271)
=> ( X270 != X271
=> ord_less_real(X270,X271) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_563_order__le__neq__implies__less) ).
fof(fact_640_divides__ge,axiom,
! [X5,X6] :
( dvd_dvd_nat(X5,X6)
=> ( X6 = zero_zero_nat
| ord_less_eq_nat(X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_640_divides__ge) ).
fof(gsy_c_Power_Opower__class_Opower_000tc__Int__Oint,hypothesis,
! [X1,X2] :
( is_int(X1)
=> is_int(power_power_int(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Power_Opower__class_Opower_000tc__Int__Oint) ).
fof(fact_617_neg__one__power,axiom,
! [X174] :
( power_power_int(number_number_of_int(min),X174) = one_one_int
| power_power_int(number_number_of_int(min),X174) = number_number_of_int(min) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_617_neg__one__power) ).
fof(fact_546_pos__zmult__eq__1__iff__lemma,axiom,
! [X175,X174] :
( is_int(X175)
=> ( times_times_int(X175,X174) = one_one_int
=> ( X175 = one_one_int
| X175 = number_number_of_int(min) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_546_pos__zmult__eq__1__iff__lemma) ).
fof(fact_424_int__one__le__iff__zero__less,axiom,
! [X19] :
( ord_less_eq_int(one_one_int,X19)
<=> ord_less_int(zero_zero_int,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_424_int__one__le__iff__zero__less) ).
fof(fact_515_Bit1__Min,axiom,
bit1(min) = min,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_515_Bit1__Min) ).
fof(fact_311_power__eq__0__iff,axiom,
! [X99,X159] :
( is_int(X99)
=> ( power_power_int(X99,X159) = zero_zero_int
<=> ( X99 = zero_zero_int
& X159 != zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_power__eq__0__iff) ).
fof(fact_331_field__power__not__zero,axiom,
! [X179,X180] :
( is_int(X180)
=> ( X180 != zero_zero_int
=> power_power_int(X180,X179) != zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_331_field__power__not__zero) ).
fof(fact_355_double__eq__0__iff,axiom,
! [X99] :
( is_int(X99)
=> ( plus_plus_int(X99,X99) = zero_zero_int
<=> X99 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_355_double__eq__0__iff) ).
fof(fact_133_eq__number__of,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( number267125858f_real(X7) = number267125858f_real(X8)
<=> X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_eq__number__of) ).
fof(fact_134_eq__number__of,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( number_number_of_int(X7) = number_number_of_int(X8)
<=> X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_eq__number__of) ).
fof(fact_689_real__le__linear,axiom,
! [X18,X17] :
( ord_less_eq_real(X18,X17)
| ord_less_eq_real(X17,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_689_real__le__linear) ).
fof(fact_36_zle__linear,axiom,
! [X18,X17] :
( ord_less_eq_int(X18,X17)
| ord_less_eq_int(X17,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_zle__linear) ).
fof(fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X66,X67] : times_times_nat(X66,X67) = times_times_nat(X67,X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X84,X85] : plus_plus_nat(X84,X85) = plus_plus_nat(X85,X84),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_666_real__mult__commute,axiom,
! [X18,X17] : times_times_real(X18,X17) = times_times_real(X17,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_666_real__mult__commute) ).
fof(fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X66,X67] : times_times_real(X66,X67) = times_times_real(X67,X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_130_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X84,X85] : plus_plus_real(X84,X85) = plus_plus_real(X85,X84),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_141_zmult__commute,axiom,
! [X18,X17] : times_times_int(X18,X17) = times_times_int(X17,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_zmult__commute) ).
fof(fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X66,X67] : times_times_int(X66,X67) = times_times_int(X67,X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_145_zadd__commute,axiom,
! [X18,X17] : plus_plus_int(X18,X17) = plus_plus_int(X17,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_zadd__commute) ).
fof(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X84,X85] : plus_plus_int(X84,X85) = plus_plus_int(X85,X84),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_582_power__0__left__number__of,axiom,
! [X275] :
( ( number_number_of_nat(X275) = zero_zero_nat
=> power_power_nat(zero_zero_nat,number_number_of_nat(X275)) = one_one_nat )
& ( number_number_of_nat(X275) != zero_zero_nat
=> power_power_nat(zero_zero_nat,number_number_of_nat(X275)) = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_582_power__0__left__number__of) ).
fof(fact_581_power__0__left__number__of,axiom,
! [X275] :
( ( number_number_of_nat(X275) = zero_zero_nat
=> power_power_real(zero_zero_real,number_number_of_nat(X275)) = one_one_real )
& ( number_number_of_nat(X275) != zero_zero_nat
=> power_power_real(zero_zero_real,number_number_of_nat(X275)) = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_581_power__0__left__number__of) ).
fof(fact_583_power__0__left__number__of,axiom,
! [X275] :
( ( number_number_of_nat(X275) = zero_zero_nat
=> power_power_int(zero_zero_int,number_number_of_nat(X275)) = one_one_int )
& ( number_number_of_nat(X275) != zero_zero_nat
=> power_power_int(zero_zero_int,number_number_of_nat(X275)) = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_583_power__0__left__number__of) ).
fof(fact_649_exp__eq__1,axiom,
! [X7,X159] :
( power_power_nat(X7,X159) = one_one_nat
<=> ( X7 = one_one_nat
| X159 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_649_exp__eq__1) ).
fof(fact_234_add__numeral__0,axiom,
! [X125] :
( is_int(X125)
=> plus_plus_int(number_number_of_int(pls),X125) = X125 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_add__numeral__0) ).
fof(fact_236_add__numeral__0__right,axiom,
! [X126] :
( is_int(X126)
=> plus_plus_int(X126,number_number_of_int(pls)) = X126 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_add__numeral__0__right) ).
fof(fact_352_add__0__iff,axiom,
! [X100,X99] :
( X100 = plus_plus_nat(X100,X99)
<=> X99 = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_352_add__0__iff) ).
fof(fact_351_add__0__iff,axiom,
! [X100,X99] :
( X100 = plus_plus_real(X100,X99)
<=> X99 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_351_add__0__iff) ).
fof(fact_637_nat__power__eq__0__iff,axiom,
! [X196,X159] :
( power_power_nat(X196,X159) = zero_zero_nat
<=> ( X159 != zero_zero_nat
& X196 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_637_nat__power__eq__0__iff) ).
fof(fact_310_power__eq__0__iff,axiom,
! [X99,X159] :
( power_power_nat(X99,X159) = zero_zero_nat
<=> ( X99 = zero_zero_nat
& X159 != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_power__eq__0__iff) ).
fof(fact_309_power__eq__0__iff,axiom,
! [X99,X159] :
( power_power_real(X99,X159) = zero_zero_real
<=> ( X99 = zero_zero_real
& X159 != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_power__eq__0__iff) ).
fof(fact_555_eq__number__of__0,axiom,
! [X30] :
( number_number_of_nat(X30) = zero_zero_nat
<=> ord_less_eq_int(X30,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_555_eq__number__of__0) ).
fof(fact_556_eq__0__number__of,axiom,
! [X30] :
( zero_zero_nat = number_number_of_nat(X30)
<=> ord_less_eq_int(X30,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_556_eq__0__number__of) ).
fof(fact_330_field__power__not__zero,axiom,
! [X179,X180] :
( X180 != zero_zero_real
=> power_power_real(X180,X179) != zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_330_field__power__not__zero) ).
fof(fact_354_double__eq__0__iff,axiom,
! [X99] :
( plus_plus_real(X99,X99) = zero_zero_real
<=> X99 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_354_double__eq__0__iff) ).
fof(fact_632_nat__mult__eq__one,axiom,
! [X159,X196] :
( times_times_nat(X159,X196) = one_one_nat
<=> ( X159 = one_one_nat
& X196 = one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_632_nat__mult__eq__one) ).
fof(fact_206_zmult__1,axiom,
! [X18] :
( is_int(X18)
=> times_times_int(one_one_int,X18) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_zmult__1) ).
fof(fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X105] :
( is_int(X105)
=> times_times_int(one_one_int,X105) = X105 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(fact_202_add__Pls,axiom,
! [X23] :
( is_int(X23)
=> plus_plus_int(pls,X23) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_add__Pls) ).
fof(fact_358_zadd__0,axiom,
! [X18] :
( is_int(X18)
=> plus_plus_int(zero_zero_int,X18) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_358_zadd__0) ).
fof(fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X187] :
( is_int(X187)
=> plus_plus_int(zero_zero_int,X187) = X187 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(fact_423_power__one__right,axiom,
! [X220] :
( is_int(X220)
=> power_power_int(X220,one_one_nat) = X220 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_423_power__one__right) ).
fof(fact_46_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X29] :
( is_int(X29)
=> power_power_int(X29,one_one_nat) = X29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).
fof(fact_205_zmult__1__right,axiom,
! [X18] :
( is_int(X18)
=> times_times_int(X18,one_one_int) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_zmult__1__right) ).
fof(fact_185_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X104] :
( is_int(X104)
=> times_times_int(X104,one_one_int) = X104 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(fact_201_add__Pls__right,axiom,
! [X23] :
( is_int(X23)
=> plus_plus_int(X23,pls) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_add__Pls__right) ).
fof(fact_359_zadd__0__right,axiom,
! [X18] :
( is_int(X18)
=> plus_plus_int(X18,zero_zero_int) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_359_zadd__0__right) ).
fof(fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X188] :
( is_int(X188)
=> plus_plus_int(X188,zero_zero_int) = X188 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_593_diff__bin__simps_I1_J,axiom,
! [X23] :
( is_int(X23)
=> minus_minus_int(X23,pls) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_593_diff__bin__simps_I1_J) ).
fof(fact_233_add__numeral__0,axiom,
! [X125] : plus_plus_real(number267125858f_real(pls),X125) = X125,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_add__numeral__0) ).
fof(fact_235_add__numeral__0__right,axiom,
! [X126] : plus_plus_real(X126,number267125858f_real(pls)) = X126,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_add__numeral__0__right) ).
fof(fact_67_rel__simps_I2_J,axiom,
~ ord_less_int(pls,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_rel__simps_I2_J) ).
fof(fact_525_rel__simps_I3_J,axiom,
~ ord_less_int(pls,min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_525_rel__simps_I3_J) ).
fof(fact_397_bin__less__0__simps_I1_J,axiom,
~ ord_less_int(pls,zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_397_bin__less__0__simps_I1_J) ).
fof(fact_520_rel__simps_I7_J,axiom,
~ ord_less_int(min,min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_520_rel__simps_I7_J) ).
fof(fact_531_rel__simps_I20_J,axiom,
~ ord_less_eq_int(pls,min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_531_rel__simps_I20_J) ).
fof(gsy_c_Int_Onumber__class_Onumber__of_000tc__Int__Oint,hypothesis,
! [X1] :
( is_int(X1)
=> is_int(number_number_of_int(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Int_Onumber__class_Onumber__of_000tc__Int__Oint) ).
fof(fact_333_power__0__left,axiom,
! [X181] :
( ( X181 = zero_zero_nat
=> power_power_nat(zero_zero_nat,X181) = one_one_nat )
& ( X181 != zero_zero_nat
=> power_power_nat(zero_zero_nat,X181) = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_333_power__0__left) ).
fof(fact_332_power__0__left,axiom,
! [X181] :
( ( X181 = zero_zero_nat
=> power_power_real(zero_zero_real,X181) = one_one_real )
& ( X181 != zero_zero_nat
=> power_power_real(zero_zero_real,X181) = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_power__0__left) ).
fof(fact_334_power__0__left,axiom,
! [X181] :
( ( X181 = zero_zero_nat
=> power_power_int(zero_zero_int,X181) = one_one_int )
& ( X181 != zero_zero_nat
=> power_power_int(zero_zero_int,X181) = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_334_power__0__left) ).
fof(fact_690_real__le__refl,axiom,
! [X17] : ord_less_eq_real(X17,X17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_690_real__le__refl) ).
fof(fact_35_zle__refl,axiom,
! [X17] : ord_less_eq_int(X17,X17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zle__refl) ).
fof(fact_187_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X105] : times_times_nat(one_one_nat,X105) = X105,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X187] : plus_plus_nat(zero_zero_nat,X187) = X187,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(fact_665_real__mult__1,axiom,
! [X18] : times_times_real(one_one_real,X18) = X18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_665_real__mult__1) ).
fof(fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X105] : times_times_real(one_one_real,X105) = X105,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X187] : plus_plus_real(zero_zero_real,X187) = X187,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(fact_184_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X104] : times_times_nat(X104,one_one_nat) = X104,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(fact_421_power__one__right,axiom,
! [X220] : power_power_nat(X220,one_one_nat) = X220,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_421_power__one__right) ).
fof(fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X29] : power_power_nat(X29,one_one_nat) = X29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).
fof(fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X188] : plus_plus_nat(X188,zero_zero_nat) = X188,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_183_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X104] : times_times_real(X104,one_one_real) = X104,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(fact_422_power__one__right,axiom,
! [X220] : power_power_real(X220,one_one_nat) = X220,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_422_power__one__right) ).
fof(fact_45_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X29] : power_power_real(X29,one_one_nat) = X29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).
fof(fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X188] : plus_plus_real(X188,zero_zero_real) = X188,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_340_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X185] : times_times_nat(zero_zero_nat,X185) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_465_power__one,axiom,
! [X235] : power_power_nat(one_one_nat,X235) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_465_power__one) ).
fof(fact_339_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X185] : times_times_real(zero_zero_real,X185) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_464_power__one,axiom,
! [X235] : power_power_real(one_one_real,X235) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_464_power__one) ).
fof(fact_466_power__one,axiom,
! [X235] : power_power_int(one_one_int,X235) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_466_power__one) ).
fof(fact_199_mult__Pls,axiom,
! [X17] : times_times_int(pls,X17) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_mult__Pls) ).
fof(fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X185] : times_times_int(zero_zero_int,X185) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X186] : times_times_nat(X186,zero_zero_nat) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_540_power__0,axiom,
! [X264] : power_power_nat(X264,zero_zero_nat) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_540_power__0) ).
fof(fact_537_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X263] : power_power_nat(X263,zero_zero_nat) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_537_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X186] : times_times_real(X186,zero_zero_real) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_539_power__0,axiom,
! [X264] : power_power_real(X264,zero_zero_nat) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_539_power__0) ).
fof(fact_536_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X263] : power_power_real(X263,zero_zero_nat) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_536_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_541_power__0,axiom,
! [X264] : power_power_int(X264,zero_zero_nat) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_541_power__0) ).
fof(fact_538_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X263] : power_power_int(X263,zero_zero_nat) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_538_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X186] : times_times_int(X186,zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_142_number__of__is__id,axiom,
! [X23] :
( is_int(X23)
=> number_number_of_int(X23) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_number__of__is__id) ).
fof(fact_198_Bit0__Pls,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_Bit0__Pls) ).
fof(gsy_c_TwoSquares__Mirabelle__ccrtsbwhjp_Osum2sq,axiom,
! [X1] : is_int(twoSqu140629262sum2sq(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_TwoSquares__Mirabelle__ccrtsbwhjp_Osum2sq) ).
fof(fact_526_rel__simps_I6_J,axiom,
ord_less_int(min,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_526_rel__simps_I6_J) ).
fof(fact_528_bin__less__0__simps_I2_J,axiom,
ord_less_int(min,zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_528_bin__less__0__simps_I2_J) ).
fof(fact_400_int__0__less__1,axiom,
ord_less_int(zero_zero_int,one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_400_int__0__less__1) ).
fof(fact_70_rel__simps_I19_J,axiom,
ord_less_eq_int(pls,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_rel__simps_I19_J) ).
fof(fact_532_rel__simps_I23_J,axiom,
ord_less_eq_int(min,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_532_rel__simps_I23_J) ).
fof(fact_521_rel__simps_I24_J,axiom,
ord_less_eq_int(min,min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_521_rel__simps_I24_J) ).
fof(fact_691_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
ord_less_eq_int(zero_zero_int,zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_691_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J) ).
fof(fact_692_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
ord_less_eq_int(zero_zero_int,one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_692_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J) ).
fof(fact_0_tpos,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(fact_534_eq__number__of__Pls__Min,axiom,
number_number_of_int(pls) != number_number_of_int(min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_534_eq__number__of__Pls__Min) ).
fof(gsy_c_HOL_Oundefined_000tc__Int__Oint,axiom,
is_int(undefined_int(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Int__Oint) ).
fof(gsy_v_t____,axiom,
is_int(t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_t____) ).
fof(gsy_v_s____,axiom,
is_int(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_s____) ).
fof(gsy_v_s1____,axiom,
is_int(s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_s1____) ).
fof(gsy_v_m,hypothesis,
is_int(m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_m) ).
fof(gsy_c_Int_OPls,hypothesis,
is_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Int_OPls) ).
fof(gsy_c_Int_OMin,axiom,
is_int(min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Int_OMin) ).
fof(gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint,axiom,
is_int(zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint) ).
fof(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,hypothesis,
is_int(one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).
fof(fact_393_semiring__numeral__0__eq__0,axiom,
number267125858f_real(pls) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_393_semiring__numeral__0__eq__0) ).
fof(fact_391_number__of__Pls,axiom,
number267125858f_real(pls) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_391_number__of__Pls) ).
fof(fact_542_nat__number__of__Pls,axiom,
number_number_of_nat(pls) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_542_nat__number__of__Pls) ).
fof(fact_394_semiring__numeral__0__eq__0,axiom,
number_number_of_nat(pls) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_394_semiring__numeral__0__eq__0) ).
fof(fact_395_semiring__numeral__0__eq__0,axiom,
number_number_of_int(pls) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_395_semiring__numeral__0__eq__0) ).
fof(fact_392_number__of__Pls,axiom,
number_number_of_int(pls) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_392_number__of__Pls) ).
fof(fact_543_semiring__norm_I113_J,axiom,
zero_zero_nat = number_number_of_nat(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_543_semiring__norm_I113_J) ).
fof(fact_389_semiring__norm_I112_J,axiom,
zero_zero_real = number267125858f_real(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_389_semiring__norm_I112_J) ).
fof(fact_399_zero__is__num__zero,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_399_zero__is__num__zero) ).
fof(fact_390_semiring__norm_I112_J,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_390_semiring__norm_I112_J) ).
fof(fact_661_real__zero__not__eq__one,axiom,
zero_zero_real != one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_661_real__zero__not__eq__one) ).
fof(fact_517_rel__simps_I40_J,axiom,
min != pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_517_rel__simps_I40_J) ).
fof(fact_516_rel__simps_I37_J,axiom,
pls != min,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_516_rel__simps_I37_J) ).
fof(fact_357_int__0__neq__1,axiom,
zero_zero_int != one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_357_int__0__neq__1) ).
fof(fact_356_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_356_Pls__def) ).
fof(i_0_714,plain,
( ~ quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min))
=> legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) != one_one_int ),
inference(fof_simplification,[status(thm)],[fact_591__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N]) ).
fof(i_0_715,negated_conjecture,
~ ? [X3,X4] : plus_plus_int(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X4,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(i_0_716,plain,
~ ! [X262] :
( is_int(X262)
=> ~ zcong(power_power_int(X262,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
inference(fof_simplification,[status(thm)],[fact_507__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4_]) ).
fof(i_0_717,plain,
! [X243,X244] : ~ ord_less_real(plus_plus_real(power_power_real(X243,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X244,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real),
inference(fof_simplification,[status(thm)],[fact_477_not__sum__power2__lt__zero]) ).
fof(i_0_718,plain,
! [X243,X244] : ~ ord_less_int(plus_plus_int(power_power_int(X243,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X244,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int),
inference(fof_simplification,[status(thm)],[fact_478_not__sum__power2__lt__zero]) ).
fof(i_0_719,plain,
! [X22,X21,X150] :
( ~ zcong(X21,zero_zero_int,X150)
=> ( zcong(power_power_int(X22,number_number_of_nat(bit0(bit1(pls)))),X21,X150)
=> ~ dvd_dvd_int(X150,X22) ) ),
inference(fof_simplification,[status(thm)],[fact_502_Euler_Oaux____1]) ).
fof(i_0_720,plain,
! [X226] : ~ ord_less_real(power_power_real(X226,number_number_of_nat(bit0(bit1(pls)))),zero_zero_real),
inference(fof_simplification,[status(thm)],[fact_449_power2__less__0]) ).
fof(i_0_721,plain,
! [X226] : ~ ord_less_int(power_power_int(X226,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
inference(fof_simplification,[status(thm)],[fact_450_power2__less__0]) ).
fof(i_0_722,plain,
! [X21,X150] :
( ord_less_int(number_number_of_int(bit0(bit1(pls))),X150)
=> ( zcong(X21,number_number_of_int(min),X150)
=> ~ zcong(X21,one_one_int,X150) ) ),
inference(fof_simplification,[status(thm)],[fact_620_zcong__neg__1__impl__ne__1]) ).
fof(i_0_723,plain,
! [X175] :
( ord_less_int(number_number_of_int(bit0(bit1(pls))),X175)
=> ~ zcong(one_one_int,number_number_of_int(min),X175) ),
inference(fof_simplification,[status(thm)],[fact_619_one__not__neg__one__mod__m]) ).
fof(i_0_724,plain,
! [X1675,X1676] : power_power_int(plus_plus_int(X1675,X1676),number_number_of_nat(bit1(bit1(pls)))) = plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(X1675,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(X1675,number_number_of_nat(bit0(bit1(pls))))),X1676)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),X1675),power_power_int(X1676,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(X1676,number_number_of_nat(bit1(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_8_zadd__power3]) ).
fof(i_0_725,plain,
! [X2080] : bit0(X2080) = plus_plus_int(X2080,X2080),
inference(variable_rename,[status(thm)],[fact_204_Bit0__def]) ).
fof(i_0_726,plain,
! [X2175] : bit1(X2175) = plus_plus_int(plus_plus_int(one_one_int,X2175),X2175),
inference(variable_rename,[status(thm)],[fact_251_Bit1__def]) ).
fof(i_0_727,plain,
! [X2820,X2821] : power_power_int(minus_minus_int(X2820,X2821),number_number_of_nat(bit1(bit1(pls)))) = minus_minus_int(plus_plus_int(minus_minus_int(power_power_int(X2820,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(X2820,number_number_of_nat(bit0(bit1(pls))))),X2821)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),X2820),power_power_int(X2821,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(X2821,number_number_of_nat(bit1(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_616_zdiff__power3]) ).
fof(i_0_728,plain,
! [X2235] :
( is_int(esk6_0)
& ord_less_eq_int(zero_zero_int,esk6_0)
& ord_less_int(esk6_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& zcong(s1,esk6_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& ( ~ is_int(X2235)
| ~ ord_less_eq_int(zero_zero_int,X2235)
| ~ ord_less_int(X2235,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
| ~ zcong(s1,X2235,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
| X2235 = esk6_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_306__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s1])])])]) ).
fof(i_0_729,plain,
( quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min))
| legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) != one_one_int ),
inference(fof_nnf,[status(thm)],[i_0_714]) ).
fof(i_0_730,plain,
! [X2823] :
( ~ zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),X2823),one_one_int))
| legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),X2823),one_one_int)) = one_one_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_618_Legendre__1mod4])]) ).
fof(i_0_731,negated_conjecture,
! [X3030,X3031] : plus_plus_int(power_power_int(X3030,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X3031,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_715])]) ).
fof(i_0_732,plain,
( is_int(esk9_0)
& zcong(power_power_int(esk9_0,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_716])])]) ).
fof(i_0_733,plain,
( is_int(esk5_0)
& plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_34__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_])])]) ).
fof(i_0_734,plain,
( is_int(esk7_0)
& ord_less_eq_int(zero_zero_int,esk7_0)
& ord_less_int(esk7_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
& zcong(s1,esk7_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_])])]) ).
fof(i_0_735,plain,
! [X1673,X1674] : power_power_int(plus_plus_int(X1673,X1674),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(X1673,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X1673),X1674)),power_power_int(X1674,number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_7_zadd__power2]) ).
fof(i_0_736,plain,
! [X2818,X2819] : power_power_int(minus_minus_int(X2818,X2819),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(minus_minus_int(power_power_int(X2818,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X2818),X2819)),power_power_int(X2819,number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_615_zdiff__power2]) ).
fof(i_0_737,plain,
! [X1679,X1680] : power_power_nat(plus_plus_nat(X1679,X1680),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(plus_plus_nat(power_power_nat(X1679,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X1680,number_number_of_nat(bit0(bit1(pls))))),times_times_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1679),X1680)),
inference(variable_rename,[status(thm)],[fact_10_power2__sum]) ).
fof(i_0_738,plain,
! [X2201,X2202] : power_power_real(plus_plus_real(X2201,X2202),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_real(plus_plus_real(power_power_real(X2201,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2202,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X2201),X2202)),
inference(variable_rename,[status(thm)],[fact_290_real__sum__squared__expand]) ).
fof(i_0_739,plain,
! [X1677,X1678] : power_power_real(plus_plus_real(X1677,X1678),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_real(plus_plus_real(power_power_real(X1677,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X1678,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X1677),X1678)),
inference(variable_rename,[status(thm)],[fact_9_power2__sum]) ).
fof(i_0_740,plain,
! [X1681,X1682] : power_power_int(plus_plus_int(X1681,X1682),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(X1681,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1682,number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X1681),X1682)),
inference(variable_rename,[status(thm)],[fact_11_power2__sum]) ).
fof(i_0_741,plain,
! [X2565,X2566] :
( ( ~ ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X2565,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2566,number_number_of_nat(bit0(bit1(pls))))))
| X2565 != zero_zero_int
| X2566 != zero_zero_int
| ~ is_int(X2565)
| ~ is_int(X2566) )
& ( X2565 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X2565,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2566,number_number_of_nat(bit0(bit1(pls))))))
| ~ is_int(X2565)
| ~ is_int(X2566) )
& ( X2566 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X2565,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2566,number_number_of_nat(bit0(bit1(pls))))))
| ~ is_int(X2565)
| ~ is_int(X2566) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_480_sum__power2__gt__zero__iff])])]) ).
fof(i_0_742,plain,
! [X2557,X2558] :
( ( X2557 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(power_power_int(X2557,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2558,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
| ~ is_int(X2557)
| ~ is_int(X2558) )
& ( X2558 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(power_power_int(X2557,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2558,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
| ~ is_int(X2557)
| ~ is_int(X2558) )
& ( X2557 != zero_zero_int
| X2558 != zero_zero_int
| ord_less_eq_int(plus_plus_int(power_power_int(X2557,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2558,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
| ~ is_int(X2557)
| ~ is_int(X2558) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_476_sum__power2__le__zero__iff])])]) ).
fof(i_0_743,plain,
! [X2563,X2564] :
( ( ~ ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X2563,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2564,number_number_of_nat(bit0(bit1(pls))))))
| X2563 != zero_zero_real
| X2564 != zero_zero_real )
& ( X2563 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X2563,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2564,number_number_of_nat(bit0(bit1(pls)))))) )
& ( X2564 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X2563,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2564,number_number_of_nat(bit0(bit1(pls)))))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_479_sum__power2__gt__zero__iff])])]) ).
fof(i_0_744,plain,
! [X2555,X2556] :
( ( X2555 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(power_power_real(X2555,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2556,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real) )
& ( X2556 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(power_power_real(X2555,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2556,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real) )
& ( X2555 != zero_zero_real
| X2556 != zero_zero_real
| ord_less_eq_real(plus_plus_real(power_power_real(X2555,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2556,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_475_sum__power2__le__zero__iff])])]) ).
fof(i_0_745,plain,
! [X2559,X2560] : ~ ord_less_real(plus_plus_real(power_power_real(X2559,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2560,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real),
inference(variable_rename,[status(thm)],[i_0_717]) ).
fof(i_0_746,plain,
! [X2561,X2562] : ~ ord_less_int(plus_plus_int(power_power_int(X2561,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2562,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int),
inference(variable_rename,[status(thm)],[i_0_718]) ).
fof(i_0_747,plain,
( ( is_int(esk3_0)
| ~ ord_less_int(one_one_int,t) )
& ( is_int(esk4_0)
| ~ ord_less_int(one_one_int,t) )
& ( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk4_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| ~ ord_less_int(one_one_int,t) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])]) ).
fof(i_0_748,plain,
( ( is_int(esk1_0)
| t != one_one_int )
& ( is_int(esk2_0)
| t != one_one_int )
& ( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk2_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| t != one_one_int ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])]) ).
fof(i_0_749,plain,
! [X2203] : times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),power_power_real(X2203,number_number_of_nat(bit0(bit1(pls))))) = power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X2203),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_291_four__x__squared]) ).
fof(i_0_750,plain,
! [X2551,X2552] : ord_less_eq_real(zero_zero_real,plus_plus_real(power_power_real(X2551,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2552,number_number_of_nat(bit0(bit1(pls)))))),
inference(variable_rename,[status(thm)],[fact_473_sum__power2__ge__zero]) ).
fof(i_0_751,plain,
! [X2553,X2554] : ord_less_eq_int(zero_zero_int,plus_plus_int(power_power_int(X2553,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2554,number_number_of_nat(bit0(bit1(pls)))))),
inference(variable_rename,[status(thm)],[fact_474_sum__power2__ge__zero]) ).
fof(i_0_752,plain,
! [X2200] :
( ~ is_int(X2200)
| ~ zprime(X2200)
| X2200 = number_number_of_int(bit0(bit1(pls)))
| X2200 = number_number_of_int(bit1(bit1(pls)))
| ord_less_eq_int(number_number_of_int(bit1(bit0(bit1(pls)))),X2200) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_prime__g__5])]) ).
fof(i_0_753,plain,
! [X2189] : power_power_int(power_power_int(X2189,number_number_of_nat(bit0(bit1(pls)))),number_number_of_nat(bit0(bit1(pls)))) = power_power_int(X2189,number_number_of_nat(bit0(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_272_quartic__square__square]) ).
fof(i_0_754,plain,
! [X2628,X2629] :
( ~ is_int(X2628)
| ~ ord_less_eq_int(power_power_int(X2628,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2629)),zero_zero_int)
| X2628 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_505_even__power__le__0__imp__0])]) ).
fof(i_0_755,plain,
! [X2626,X2627] :
( ~ ord_less_eq_real(power_power_real(X2626,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2627)),zero_zero_real)
| X2626 = zero_zero_real ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_504_even__power__le__0__imp__0])]) ).
fof(i_0_756,plain,
! [X2547,X2548] :
( ~ ord_less_nat(power_power_nat(X2547,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X2548,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_nat(zero_zero_nat,X2548)
| ord_less_nat(X2547,X2548) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_471_power2__less__imp__less])]) ).
fof(i_0_757,plain,
! [X2491,X2492] :
( ~ ord_less_eq_nat(power_power_nat(X2491,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X2492,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_nat(zero_zero_nat,X2492)
| ord_less_eq_nat(X2491,X2492) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_444_power2__le__imp__le])]) ).
fof(i_0_758,plain,
! [X2545,X2546] :
( ~ ord_less_real(power_power_real(X2545,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2546,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_real(zero_zero_real,X2546)
| ord_less_real(X2545,X2546) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_470_power2__less__imp__less])]) ).
fof(i_0_759,plain,
! [X2489,X2490] :
( ~ ord_less_eq_real(power_power_real(X2489,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2490,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_real(zero_zero_real,X2490)
| ord_less_eq_real(X2489,X2490) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_443_power2__le__imp__le])]) ).
fof(i_0_760,plain,
! [X2549,X2550] :
( ~ ord_less_int(power_power_int(X2549,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2550,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_int(zero_zero_int,X2550)
| ord_less_int(X2549,X2550) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_472_power2__less__imp__less])]) ).
fof(i_0_761,plain,
! [X2493,X2494] :
( ~ ord_less_eq_int(power_power_int(X2493,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2494,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_int(zero_zero_int,X2494)
| ord_less_eq_int(X2493,X2494) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_445_power2__le__imp__le])]) ).
fof(i_0_762,plain,
! [X2507,X2508] :
( ( X2507 = zero_zero_int
| plus_plus_int(power_power_int(X2507,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2508,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_int
| ~ is_int(X2507)
| ~ is_int(X2508) )
& ( X2508 = zero_zero_int
| plus_plus_int(power_power_int(X2507,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2508,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_int
| ~ is_int(X2507)
| ~ is_int(X2508) )
& ( X2507 != zero_zero_int
| X2508 != zero_zero_int
| plus_plus_int(power_power_int(X2507,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2508,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int
| ~ is_int(X2507)
| ~ is_int(X2508) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_454_sum__power2__eq__zero__iff])])]) ).
fof(i_0_763,plain,
! [X2936,X2937] :
( ( X2936 = zero_zero_real
| plus_plus_real(power_power_real(X2936,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2937,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X2937 = zero_zero_real
| plus_plus_real(power_power_real(X2936,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2937,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X2936 != zero_zero_real
| X2937 != zero_zero_real
| plus_plus_real(power_power_real(X2936,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2937,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_659_realpow__two__sum__zero__iff])])]) ).
fof(i_0_764,plain,
! [X2505,X2506] :
( ( X2505 = zero_zero_real
| plus_plus_real(power_power_real(X2505,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2506,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X2506 = zero_zero_real
| plus_plus_real(power_power_real(X2505,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2506,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X2505 != zero_zero_real
| X2506 != zero_zero_real
| plus_plus_real(power_power_real(X2505,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2506,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_sum__power2__eq__zero__iff])])]) ).
fof(i_0_765,plain,
! [X2842,X2843] : minus_minus_nat(power_power_nat(X2842,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X2843,number_number_of_nat(bit0(bit1(pls))))) = times_times_nat(plus_plus_nat(X2842,X2843),minus_minus_nat(X2842,X2843)),
inference(variable_rename,[status(thm)],[fact_627_diff__square]) ).
fof(i_0_766,plain,
! [X2816,X2817] : times_times_int(plus_plus_int(X2816,X2817),minus_minus_int(X2816,X2817)) = minus_minus_int(power_power_int(X2816,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2817,number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_614_zspecial__product]) ).
fof(i_0_767,plain,
! [X2567,X2568] : ord_less_eq_real(zero_zero_real,power_power_real(X2567,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2568))),
inference(variable_rename,[status(thm)],[fact_481_zero__le__even__power_H]) ).
fof(i_0_768,plain,
! [X2569,X2570] : ord_less_eq_int(zero_zero_int,power_power_int(X2569,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2570))),
inference(variable_rename,[status(thm)],[fact_482_zero__le__even__power_H]) ).
fof(i_0_769,plain,
! [X1686] : times_times_int(X1686,power_power_int(X1686,number_number_of_nat(bit0(bit1(pls))))) = power_power_int(X1686,number_number_of_nat(bit1(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_15_cube__square]) ).
fof(i_0_770,plain,
! [X2622,X2623,X2624] :
( zcong(X2623,zero_zero_int,X2624)
| ~ zcong(power_power_int(X2622,number_number_of_nat(bit0(bit1(pls)))),X2623,X2624)
| ~ dvd_dvd_int(X2624,X2622) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_719])]) ).
fof(i_0_771,plain,
! [X2930,X2931,X2933,X2934,X2935] :
( ( is_int(esk11_2(X2930,X2931))
| ~ quadRes(X2930,X2931) )
& ( zcong(power_power_int(esk11_2(X2930,X2931),number_number_of_nat(bit0(bit1(pls)))),X2931,X2930)
| ~ quadRes(X2930,X2931) )
& ( ~ is_int(X2935)
| ~ zcong(power_power_int(X2935,number_number_of_nat(bit0(bit1(pls)))),X2934,X2933)
| quadRes(X2933,X2934) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_658_QuadRes__def])])])])])]) ).
fof(i_0_772,plain,
! [X2499,X2500] :
( ~ is_int(X2499)
| ~ is_int(X2500)
| power_power_int(X2499,number_number_of_nat(bit0(bit1(pls)))) != power_power_int(X2500,number_number_of_nat(bit0(bit1(pls))))
| ~ ord_less_eq_int(zero_zero_int,X2499)
| ~ ord_less_eq_int(zero_zero_int,X2500)
| X2499 = X2500 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_448_power2__eq__imp__eq])]) ).
fof(i_0_773,plain,
! [X2497,X2498] :
( power_power_nat(X2497,number_number_of_nat(bit0(bit1(pls)))) != power_power_nat(X2498,number_number_of_nat(bit0(bit1(pls))))
| ~ ord_less_eq_nat(zero_zero_nat,X2497)
| ~ ord_less_eq_nat(zero_zero_nat,X2498)
| X2497 = X2498 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_447_power2__eq__imp__eq])]) ).
fof(i_0_774,plain,
! [X2495,X2496] :
( power_power_real(X2495,number_number_of_nat(bit0(bit1(pls)))) != power_power_real(X2496,number_number_of_nat(bit0(bit1(pls))))
| ~ ord_less_eq_real(zero_zero_real,X2495)
| ~ ord_less_eq_real(zero_zero_real,X2496)
| X2495 = X2496 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_446_power2__eq__imp__eq])]) ).
fof(i_0_775,plain,
! [X2504] :
( ( ~ ord_less_int(zero_zero_int,power_power_int(X2504,number_number_of_nat(bit0(bit1(pls)))))
| X2504 != zero_zero_int
| ~ is_int(X2504) )
& ( X2504 = zero_zero_int
| ord_less_int(zero_zero_int,power_power_int(X2504,number_number_of_nat(bit0(bit1(pls)))))
| ~ is_int(X2504) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_452_zero__less__power2])])]) ).
fof(i_0_776,plain,
! [X2503] :
( ( ~ ord_less_real(zero_zero_real,power_power_real(X2503,number_number_of_nat(bit0(bit1(pls)))))
| X2503 != zero_zero_real )
& ( X2503 = zero_zero_real
| ord_less_real(zero_zero_real,power_power_real(X2503,number_number_of_nat(bit0(bit1(pls))))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_451_zero__less__power2])]) ).
fof(i_0_777,plain,
! [X2501] : ~ ord_less_real(power_power_real(X2501,number_number_of_nat(bit0(bit1(pls)))),zero_zero_real),
inference(variable_rename,[status(thm)],[i_0_720]) ).
fof(i_0_778,plain,
! [X2502] : ~ ord_less_int(power_power_int(X2502,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
inference(variable_rename,[status(thm)],[i_0_721]) ).
fof(i_0_779,plain,
! [X1985,X1986] : power_power_nat(X1985,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1986)) = power_power_nat(power_power_nat(X1985,X1986),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_157_power__even__eq]) ).
fof(i_0_780,plain,
! [X1987,X1988] : power_power_real(X1987,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1988)) = power_power_real(power_power_real(X1987,X1988),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_158_power__even__eq]) ).
fof(i_0_781,plain,
! [X1989,X1990] : power_power_int(X1989,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1990)) = power_power_int(power_power_int(X1989,X1990),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_159_power__even__eq]) ).
fof(i_0_782,plain,
! [X1693,X1694] : power_power_nat(X1693,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1694)) = times_times_nat(power_power_nat(X1693,X1694),power_power_nat(X1693,X1694)),
inference(variable_rename,[status(thm)],[fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J]) ).
fof(i_0_783,plain,
! [X1695,X1696] : power_power_real(X1695,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1696)) = times_times_real(power_power_real(X1695,X1696),power_power_real(X1695,X1696)),
inference(variable_rename,[status(thm)],[fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J]) ).
fof(i_0_784,plain,
! [X1697,X1698] : power_power_int(X1697,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1698)) = times_times_int(power_power_int(X1697,X1698),power_power_int(X1697,X1698)),
inference(variable_rename,[status(thm)],[fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J]) ).
fof(i_0_785,plain,
! [X2829,X2830] :
( ~ dvd_dvd_nat(X2829,X2830)
| X2830 = zero_zero_nat
| X2830 = X2829
| ord_less_eq_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2829),X2830) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_622_divides__cases])]) ).
fof(i_0_786,plain,
! [X2732] : power_power_real(number267125858f_real(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2732)) = one_one_real,
inference(variable_rename,[status(thm)],[fact_574_power__m1__even]) ).
fof(i_0_787,plain,
! [X2733] : power_power_int(number_number_of_int(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2733)) = one_one_int,
inference(variable_rename,[status(thm)],[fact_575_power__m1__even]) ).
fof(i_0_788,plain,
! [X2105] : ord_less_eq_int(X2105,power_power_int(X2105,number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_217_power2__ge__self]) ).
fof(i_0_789,plain,
! [X2981] : ord_less_eq_real(one_one_real,power_power_real(number267125858f_real(bit0(bit1(pls))),X2981)),
inference(variable_rename,[status(thm)],[fact_678_two__realpow__ge__one]) ).
fof(i_0_790,plain,
! [X2487] : ord_less_eq_real(zero_zero_real,power_power_real(X2487,number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_441_zero__le__power2]) ).
fof(i_0_791,plain,
! [X2488] : ord_less_eq_int(zero_zero_int,power_power_int(X2488,number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_442_zero__le__power2]) ).
fof(i_0_792,plain,
! [X2760,X2761,X2762] :
( ~ ord_less_int(number_number_of_int(bit0(bit1(pls))),X2762)
| ~ zcong(power_power_int(number_number_of_int(min),X2760),power_power_int(number_number_of_int(min),X2761),X2762)
| power_power_int(number_number_of_int(min),X2760) = power_power_int(number_number_of_int(min),X2761) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_589_neg__one__power__eq__mod__m])]) ).
fof(i_0_793,plain,
! [X2825,X2826] :
( ~ ord_less_int(number_number_of_int(bit0(bit1(pls))),X2826)
| ~ zcong(X2825,number_number_of_int(min),X2826)
| ~ zcong(X2825,one_one_int,X2826) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_722])]) ).
fof(i_0_794,plain,
! [X2824] :
( ~ ord_less_int(number_number_of_int(bit0(bit1(pls))),X2824)
| ~ zcong(one_one_int,number_number_of_int(min),X2824) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_723])]) ).
fof(i_0_795,plain,
! [X2186] : power_power_nat(X2186,number_number_of_nat(bit1(bit1(pls)))) = times_times_nat(times_times_nat(X2186,X2186),X2186),
inference(variable_rename,[status(thm)],[fact_269_power3__eq__cube]) ).
fof(i_0_796,plain,
! [X2187] : power_power_real(X2187,number_number_of_nat(bit1(bit1(pls)))) = times_times_real(times_times_real(X2187,X2187),X2187),
inference(variable_rename,[status(thm)],[fact_270_power3__eq__cube]) ).
fof(i_0_797,plain,
! [X2188] : power_power_int(X2188,number_number_of_nat(bit1(bit1(pls)))) = times_times_int(times_times_int(X2188,X2188),X2188),
inference(variable_rename,[status(thm)],[fact_271_power3__eq__cube]) ).
fof(i_0_798,plain,
! [X2625] :
( ~ is_int(X2625)
| ~ ord_less_eq_int(zero_zero_int,X2625)
| ~ ord_less_int(X2625,number_number_of_int(bit0(bit1(pls))))
| X2625 = zero_zero_int
| X2625 = one_one_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_503_int__pos__lt__two__imp__zero__or__one])]) ).
fof(i_0_799,plain,
! [X2486] :
( ( power_power_int(X2486,number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int
| X2486 = zero_zero_int
| ~ is_int(X2486) )
& ( X2486 != zero_zero_int
| power_power_int(X2486,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
| ~ is_int(X2486) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_440_zero__eq__power2])])]) ).
fof(i_0_800,plain,
! [X2485] :
( ( power_power_real(X2485,number_number_of_nat(bit0(bit1(pls)))) != zero_zero_real
| X2485 = zero_zero_real )
& ( X2485 != zero_zero_real
| power_power_real(X2485,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_439_zero__eq__power2])]) ).
fof(i_0_801,plain,
! [X1683] : power_power_nat(number_number_of_nat(X1683),number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(number_number_of_nat(X1683),number_number_of_nat(X1683)),
inference(variable_rename,[status(thm)],[fact_12_power2__eq__square__number__of]) ).
fof(i_0_802,plain,
! [X1684] : power_power_real(number267125858f_real(X1684),number_number_of_nat(bit0(bit1(pls)))) = times_times_real(number267125858f_real(X1684),number267125858f_real(X1684)),
inference(variable_rename,[status(thm)],[fact_13_power2__eq__square__number__of]) ).
fof(i_0_803,plain,
! [X1685] : power_power_int(number_number_of_int(X1685),number_number_of_nat(bit0(bit1(pls)))) = times_times_int(number_number_of_int(X1685),number_number_of_int(X1685)),
inference(variable_rename,[status(thm)],[fact_14_power2__eq__square__number__of]) ).
fof(i_0_804,plain,
! [X2191] : times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2191) = plus_plus_nat(X2191,X2191),
inference(variable_rename,[status(thm)],[fact_274_semiring__mult__2]) ).
fof(i_0_805,plain,
! [X1761] : times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1761) = plus_plus_nat(X1761,X1761),
inference(variable_rename,[status(thm)],[fact_60_nat__mult__2]) ).
fof(i_0_806,plain,
! [X2193] : times_times_real(number267125858f_real(bit0(bit1(pls))),X2193) = plus_plus_real(X2193,X2193),
inference(variable_rename,[status(thm)],[fact_276_mult__2]) ).
fof(i_0_807,plain,
! [X2190] : times_times_real(number267125858f_real(bit0(bit1(pls))),X2190) = plus_plus_real(X2190,X2190),
inference(variable_rename,[status(thm)],[fact_273_semiring__mult__2]) ).
fof(i_0_808,plain,
! [X2194] : times_times_int(number_number_of_int(bit0(bit1(pls))),X2194) = plus_plus_int(X2194,X2194),
inference(variable_rename,[status(thm)],[fact_277_mult__2]) ).
fof(i_0_809,plain,
! [X2192] : times_times_int(number_number_of_int(bit0(bit1(pls))),X2192) = plus_plus_int(X2192,X2192),
inference(variable_rename,[status(thm)],[fact_275_semiring__mult__2]) ).
fof(i_0_810,plain,
! [X2196] : times_times_nat(X2196,number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(X2196,X2196),
inference(variable_rename,[status(thm)],[fact_279_semiring__mult__2__right]) ).
fof(i_0_811,plain,
! [X1762] : times_times_nat(X1762,number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(X1762,X1762),
inference(variable_rename,[status(thm)],[fact_61_nat__mult__2__right]) ).
fof(i_0_812,plain,
! [X1690] : power_power_nat(X1690,number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(X1690,X1690),
inference(variable_rename,[status(thm)],[fact_22_power2__eq__square]) ).
fof(i_0_813,plain,
! [X2198] : times_times_real(X2198,number267125858f_real(bit0(bit1(pls)))) = plus_plus_real(X2198,X2198),
inference(variable_rename,[status(thm)],[fact_281_mult__2__right]) ).
fof(i_0_814,plain,
! [X2195] : times_times_real(X2195,number267125858f_real(bit0(bit1(pls)))) = plus_plus_real(X2195,X2195),
inference(variable_rename,[status(thm)],[fact_278_semiring__mult__2__right]) ).
fof(i_0_815,plain,
! [X1691] : power_power_real(X1691,number_number_of_nat(bit0(bit1(pls)))) = times_times_real(X1691,X1691),
inference(variable_rename,[status(thm)],[fact_23_power2__eq__square]) ).
fof(i_0_816,plain,
! [X1692] : power_power_int(X1692,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(X1692,X1692),
inference(variable_rename,[status(thm)],[fact_24_power2__eq__square]) ).
fof(i_0_817,plain,
! [X2199] : times_times_int(X2199,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X2199,X2199),
inference(variable_rename,[status(thm)],[fact_282_mult__2__right]) ).
fof(i_0_818,plain,
! [X2197] : times_times_int(X2197,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X2197,X2197),
inference(variable_rename,[status(thm)],[fact_280_semiring__mult__2__right]) ).
fof(i_0_819,plain,
! [X1687] : times_times_nat(X1687,X1687) = power_power_nat(X1687,number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
fof(i_0_820,plain,
! [X1688] : times_times_real(X1688,X1688) = power_power_real(X1688,number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_20_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
fof(i_0_821,plain,
! [X1689] : times_times_int(X1689,X1689) = power_power_int(X1689,number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
fof(i_0_822,plain,
! [X1765,X1766] :
( ( ~ ord_less_int(bit1(X1765),bit1(X1766))
| ord_less_int(X1765,X1766) )
& ( ~ ord_less_int(X1765,X1766)
| ord_less_int(bit1(X1765),bit1(X1766)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_64_rel__simps_I17_J])]) ).
fof(i_0_823,plain,
! [X1763,X1764] :
( ( ~ ord_less_int(bit1(X1763),bit1(X1764))
| ord_less_int(X1763,X1764) )
& ( ~ ord_less_int(X1763,X1764)
| ord_less_int(bit1(X1763),bit1(X1764)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_63_less__int__code_I16_J])]) ).
fof(i_0_824,plain,
! [X1769,X1770] :
( ( ~ ord_less_eq_int(bit1(X1769),bit1(X1770))
| ord_less_eq_int(X1769,X1770) )
& ( ~ ord_less_eq_int(X1769,X1770)
| ord_less_eq_int(bit1(X1769),bit1(X1770)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_rel__simps_I34_J])]) ).
fof(i_0_825,plain,
! [X1767,X1768] :
( ( ~ ord_less_eq_int(bit1(X1767),bit1(X1768))
| ord_less_eq_int(X1767,X1768) )
& ( ~ ord_less_eq_int(X1767,X1768)
| ord_less_eq_int(bit1(X1767),bit1(X1768)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_65_less__eq__int__code_I16_J])]) ).
fof(i_0_826,plain,
! [X6,X5,X150] :
( zprime(X150)
=> ( ord_less_int(zero_zero_int,X5)
=> ( ( ~ zcong(X5,zero_zero_int,X150)
& ~ zcong(X6,zero_zero_int,X150) )
=> ~ zcong(times_times_int(X5,X6),zero_zero_int,X150) ) ) ),
inference(fof_simplification,[status(thm)],[fact_655_zcong__zprime__prod__zero__contra]) ).
fof(i_0_827,plain,
! [X22,X21,X150] :
( zprime(X150)
=> ( ~ zcong(X21,zero_zero_int,X150)
=> ( ~ zcong(X22,zero_zero_int,X150)
=> ~ zcong(times_times_int(X21,X22),zero_zero_int,X150) ) ) ),
inference(fof_simplification,[status(thm)],[fact_653_zcong__zmult__prop3]) ).
fof(i_0_828,plain,
! [X2182,X2183] : times_times_int(bit1(X2182),X2183) = plus_plus_int(bit0(times_times_int(X2182,X2183)),X2183),
inference(variable_rename,[status(thm)],[fact_266_mult__Bit1]) ).
fof(i_0_829,plain,
! [X2171,X2172] : plus_plus_int(bit1(X2171),bit0(X2172)) = bit1(plus_plus_int(X2171,X2172)),
inference(variable_rename,[status(thm)],[fact_249_add__Bit1__Bit0]) ).
fof(i_0_830,plain,
! [X2782,X2783] : minus_minus_int(bit1(X2782),bit0(X2783)) = bit1(minus_minus_int(X2782,X2783)),
inference(variable_rename,[status(thm)],[fact_599_diff__bin__simps_I9_J]) ).
fof(i_0_831,plain,
! [X2173,X2174] : plus_plus_int(bit0(X2173),bit1(X2174)) = bit1(plus_plus_int(X2173,X2174)),
inference(variable_rename,[status(thm)],[fact_250_add__Bit0__Bit1]) ).
fof(i_0_832,plain,
! [X217,X218] : ~ ord_less_real(plus_plus_real(times_times_real(X217,X217),times_times_real(X218,X218)),zero_zero_real),
inference(fof_simplification,[status(thm)],[fact_414_not__sum__squares__lt__zero]) ).
fof(i_0_833,plain,
! [X217,X218] : ~ ord_less_int(plus_plus_int(times_times_int(X217,X217),times_times_int(X218,X218)),zero_zero_int),
inference(fof_simplification,[status(thm)],[fact_415_not__sum__squares__lt__zero]) ).
fof(i_0_834,plain,
! [X2784,X2785] : minus_minus_int(bit1(X2784),bit1(X2785)) = bit0(minus_minus_int(X2784,X2785)),
inference(variable_rename,[status(thm)],[fact_600_diff__bin__simps_I10_J]) ).
fof(i_0_835,plain,
! [X1972,X1973] :
( ( ~ ord_less_int(bit1(X1972),bit0(X1973))
| ord_less_int(X1972,X1973) )
& ( ~ ord_less_int(X1972,X1973)
| ord_less_int(bit1(X1972),bit0(X1973)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_148_rel__simps_I16_J])]) ).
fof(i_0_836,plain,
! [X1970,X1971] :
( ( ~ ord_less_int(bit1(X1970),bit0(X1971))
| ord_less_int(X1970,X1971) )
& ( ~ ord_less_int(X1970,X1971)
| ord_less_int(bit1(X1970),bit0(X1971)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_147_less__int__code_I15_J])]) ).
fof(i_0_837,plain,
! [X1795,X1796] :
( ( ~ ord_less_eq_int(bit1(X1795),bit0(X1796))
| ord_less_int(X1795,X1796) )
& ( ~ ord_less_int(X1795,X1796)
| ord_less_eq_int(bit1(X1795),bit0(X1796)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_83_rel__simps_I33_J])]) ).
fof(i_0_838,plain,
! [X1793,X1794] :
( ( ~ ord_less_eq_int(bit1(X1793),bit0(X1794))
| ord_less_int(X1793,X1794) )
& ( ~ ord_less_int(X1793,X1794)
| ord_less_eq_int(bit1(X1793),bit0(X1794)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_82_less__eq__int__code_I15_J])]) ).
fof(i_0_839,plain,
! [X1799,X1800] :
( ( ~ ord_less_int(bit0(X1799),bit1(X1800))
| ord_less_eq_int(X1799,X1800) )
& ( ~ ord_less_eq_int(X1799,X1800)
| ord_less_int(bit0(X1799),bit1(X1800)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_85_rel__simps_I15_J])]) ).
fof(i_0_840,plain,
! [X1797,X1798] :
( ( ~ ord_less_int(bit0(X1797),bit1(X1798))
| ord_less_eq_int(X1797,X1798) )
& ( ~ ord_less_eq_int(X1797,X1798)
| ord_less_int(bit0(X1797),bit1(X1798)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_84_less__int__code_I14_J])]) ).
fof(i_0_841,plain,
! [X1979,X1980] :
( ( ~ ord_less_eq_int(bit0(X1979),bit1(X1980))
| ord_less_eq_int(X1979,X1980) )
& ( ~ ord_less_eq_int(X1979,X1980)
| ord_less_eq_int(bit0(X1979),bit1(X1980)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_153_rel__simps_I32_J])]) ).
fof(i_0_842,plain,
! [X1977,X1978] :
( ( ~ ord_less_eq_int(bit0(X1977),bit1(X1978))
| ord_less_eq_int(X1977,X1978) )
& ( ~ ord_less_eq_int(X1977,X1978)
| ord_less_eq_int(bit0(X1977),bit1(X1978)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_152_less__eq__int__code_I14_J])]) ).
fof(i_0_843,plain,
! [X2803] : minus_minus_int(pls,bit1(X2803)) = bit1(minus_minus_int(min,X2803)),
inference(variable_rename,[status(thm)],[fact_607_diff__bin__simps_I4_J]) ).
fof(i_0_844,plain,
! [X1701] : plus_plus_real(number267125858f_real(X1701),one_one_real) = number267125858f_real(plus_plus_int(X1701,bit1(pls))),
inference(variable_rename,[status(thm)],[fact_30_add__special_I3_J]) ).
fof(i_0_845,plain,
! [X1702] : plus_plus_int(number_number_of_int(X1702),one_one_int) = number_number_of_int(plus_plus_int(X1702,bit1(pls))),
inference(variable_rename,[status(thm)],[fact_31_add__special_I3_J]) ).
fof(i_0_846,plain,
! [X1699] : plus_plus_real(one_one_real,number267125858f_real(X1699)) = number267125858f_real(plus_plus_int(bit1(pls),X1699)),
inference(variable_rename,[status(thm)],[fact_28_add__special_I2_J]) ).
fof(i_0_847,plain,
! [X1700] : plus_plus_int(one_one_int,number_number_of_int(X1700)) = number_number_of_int(plus_plus_int(bit1(pls),X1700)),
inference(variable_rename,[status(thm)],[fact_29_add__special_I2_J]) ).
fof(i_0_848,plain,
! [X6,X175,X5] :
( ord_less_int(zero_zero_int,X5)
=> ( ord_less_int(X5,X175)
=> ( ord_less_int(zero_zero_int,X6)
=> ( ord_less_int(X6,X5)
=> ~ zcong(X5,X6,X175) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_579_zcong__not]) ).
fof(i_0_849,plain,
! [X174,X6,X5,X150] :
( zprime(X150)
=> ( ~ dvd_dvd_int(X150,X5)
=> ( dvd_dvd_int(power_power_int(X150,X174),times_times_int(X5,X6))
=> dvd_dvd_int(power_power_int(X150,X174),X6) ) ) ),
inference(fof_simplification,[status(thm)],[fact_407_zprime__power__zdvd__cancel__left]) ).
fof(i_0_850,plain,
! [X174,X5,X6,X150] :
( zprime(X150)
=> ( ~ dvd_dvd_int(X150,X6)
=> ( dvd_dvd_int(power_power_int(X150,X174),times_times_int(X5,X6))
=> dvd_dvd_int(power_power_int(X150,X174),X5) ) ) ),
inference(fof_simplification,[status(thm)],[fact_408_zprime__power__zdvd__cancel__right]) ).
fof(i_0_851,plain,
! [X2179] :
( ~ is_int(X2179)
| times_times_int(number_number_of_int(bit1(pls)),X2179) = X2179 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_255_mult__numeral__1])]) ).
fof(i_0_852,plain,
! [X2181] :
( ~ is_int(X2181)
| times_times_int(X2181,number_number_of_int(bit1(pls))) = X2181 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_257_mult__numeral__1__right])]) ).
fof(i_0_853,plain,
! [X2178] : times_times_real(number267125858f_real(bit1(pls)),X2178) = X2178,
inference(variable_rename,[status(thm)],[fact_254_mult__numeral__1]) ).
fof(i_0_854,plain,
! [X2180] : times_times_real(X2180,number267125858f_real(bit1(pls))) = X2180,
inference(variable_rename,[status(thm)],[fact_256_mult__numeral__1__right]) ).
fof(i_0_855,plain,
! [X2649] :
( ( ~ ord_less_int(min,bit1(X2649))
| ord_less_int(min,X2649) )
& ( ~ ord_less_int(min,X2649)
| ord_less_int(min,bit1(X2649)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_524_rel__simps_I9_J])]) ).
fof(i_0_856,plain,
! [X1792] :
( ( ~ ord_less_int(pls,bit1(X1792))
| ord_less_eq_int(pls,X1792) )
& ( ~ ord_less_eq_int(pls,X1792)
| ord_less_int(pls,bit1(X1792)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_81_rel__simps_I5_J])]) ).
fof(i_0_857,plain,
! [X1976] :
( ( ~ ord_less_eq_int(pls,bit1(X1976))
| ord_less_eq_int(pls,X1976) )
& ( ~ ord_less_eq_int(pls,X1976)
| ord_less_eq_int(pls,bit1(X1976)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_151_rel__simps_I22_J])]) ).
fof(i_0_858,plain,
! [X2652] :
( ( ~ ord_less_eq_int(min,bit1(X2652))
| ord_less_eq_int(min,X2652) )
& ( ~ ord_less_eq_int(min,X2652)
| ord_less_eq_int(min,bit1(X2652)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_530_rel__simps_I26_J])]) ).
fof(i_0_859,plain,
! [X1969] :
( ( ~ ord_less_int(bit1(X1969),pls)
| ord_less_int(X1969,pls) )
& ( ~ ord_less_int(X1969,pls)
| ord_less_int(bit1(X1969),pls) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_146_rel__simps_I12_J])]) ).
fof(i_0_860,plain,
! [X1791] :
( ( ~ ord_less_eq_int(bit1(X1791),pls)
| ord_less_int(X1791,pls) )
& ( ~ ord_less_int(X1791,pls)
| ord_less_eq_int(bit1(X1791),pls) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_80_rel__simps_I29_J])]) ).
fof(i_0_861,plain,
! [X2648] :
( ( ~ ord_less_int(bit1(X2648),min)
| ord_less_int(X2648,min) )
& ( ~ ord_less_int(X2648,min)
| ord_less_int(bit1(X2648),min) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_523_rel__simps_I13_J])]) ).
fof(i_0_862,plain,
! [X2425] :
( ( ~ ord_less_int(bit1(X2425),zero_zero_int)
| ord_less_int(X2425,zero_zero_int) )
& ( ~ ord_less_int(X2425,zero_zero_int)
| ord_less_int(bit1(X2425),zero_zero_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_396_bin__less__0__simps_I4_J])]) ).
fof(i_0_863,plain,
! [X2651] :
( ( ~ ord_less_eq_int(bit1(X2651),min)
| ord_less_eq_int(X2651,min) )
& ( ~ ord_less_eq_int(X2651,min)
| ord_less_eq_int(bit1(X2651),min) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_529_rel__simps_I30_J])]) ).
fof(i_0_864,plain,
! [X2804] : minus_minus_int(min,bit1(X2804)) = bit0(minus_minus_int(min,X2804)),
inference(variable_rename,[status(thm)],[fact_608_diff__bin__simps_I6_J]) ).
fof(i_0_865,plain,
! [X2805] : minus_minus_int(min,bit0(X2805)) = bit1(minus_minus_int(min,X2805)),
inference(variable_rename,[status(thm)],[fact_609_diff__bin__simps_I5_J]) ).
fof(i_0_866,plain,
! [X40,X23,X41] :
( ( ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),times_times_nat(number_number_of_nat(X40),X23)) = zero_zero_nat )
& ( ~ ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),times_times_nat(number_number_of_nat(X40),X23)) = times_times_nat(number_number_of_nat(times_times_int(X41,X40)),X23) ) ),
inference(fof_simplification,[status(thm)],[fact_561_nat__number__of__mult__left]) ).
fof(i_0_867,plain,
! [X1991] :
( ( ~ ord_less_real(number267125858f_real(X1991),one_one_real)
| ord_less_int(X1991,bit1(pls)) )
& ( ~ ord_less_int(X1991,bit1(pls))
| ord_less_real(number267125858f_real(X1991),one_one_real) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_160_less__special_I4_J])]) ).
fof(i_0_868,plain,
! [X1995] :
( ( ~ ord_less_eq_real(number267125858f_real(X1995),one_one_real)
| ord_less_eq_int(X1995,bit1(pls)) )
& ( ~ ord_less_eq_int(X1995,bit1(pls))
| ord_less_eq_real(number267125858f_real(X1995),one_one_real) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_164_le__special_I4_J])]) ).
fof(i_0_869,plain,
! [X1992] :
( ( ~ ord_less_int(number_number_of_int(X1992),one_one_int)
| ord_less_int(X1992,bit1(pls)) )
& ( ~ ord_less_int(X1992,bit1(pls))
| ord_less_int(number_number_of_int(X1992),one_one_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_161_less__special_I4_J])]) ).
fof(i_0_870,plain,
! [X1996] :
( ( ~ ord_less_eq_int(number_number_of_int(X1996),one_one_int)
| ord_less_eq_int(X1996,bit1(pls)) )
& ( ~ ord_less_eq_int(X1996,bit1(pls))
| ord_less_eq_int(number_number_of_int(X1996),one_one_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_165_le__special_I4_J])]) ).
fof(i_0_871,plain,
! [X1993] :
( ( ~ ord_less_real(one_one_real,number267125858f_real(X1993))
| ord_less_int(bit1(pls),X1993) )
& ( ~ ord_less_int(bit1(pls),X1993)
| ord_less_real(one_one_real,number267125858f_real(X1993)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_162_less__special_I2_J])]) ).
fof(i_0_872,plain,
! [X1997] :
( ( ~ ord_less_eq_real(one_one_real,number267125858f_real(X1997))
| ord_less_eq_int(bit1(pls),X1997) )
& ( ~ ord_less_eq_int(bit1(pls),X1997)
| ord_less_eq_real(one_one_real,number267125858f_real(X1997)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_166_le__special_I2_J])]) ).
fof(i_0_873,plain,
! [X1994] :
( ( ~ ord_less_int(one_one_int,number_number_of_int(X1994))
| ord_less_int(bit1(pls),X1994) )
& ( ~ ord_less_int(bit1(pls),X1994)
| ord_less_int(one_one_int,number_number_of_int(X1994)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_163_less__special_I2_J])]) ).
fof(i_0_874,plain,
! [X1998] :
( ( ~ ord_less_eq_int(one_one_int,number_number_of_int(X1998))
| ord_less_eq_int(bit1(pls),X1998) )
& ( ~ ord_less_eq_int(bit1(pls),X1998)
| ord_less_eq_int(one_one_int,number_number_of_int(X1998)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_167_le__special_I2_J])]) ).
fof(i_0_875,plain,
! [X1951,X1952] :
( ( bit1(X1951) != bit1(X1952)
| X1951 = X1952
| ~ is_int(X1951)
| ~ is_int(X1952) )
& ( X1951 != X1952
| bit1(X1951) = bit1(X1952)
| ~ is_int(X1951)
| ~ is_int(X1952) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_138_rel__simps_I51_J])])]) ).
fof(i_0_876,plain,
! [X2078,X2079] : plus_plus_int(bit0(X2078),bit0(X2079)) = bit0(plus_plus_int(X2078,X2079)),
inference(variable_rename,[status(thm)],[fact_203_add__Bit0__Bit0]) ).
fof(i_0_877,plain,
! [X2769,X2770] : minus_minus_int(bit0(X2769),bit0(X2770)) = bit0(minus_minus_int(X2769,X2770)),
inference(variable_rename,[status(thm)],[fact_594_diff__bin__simps_I7_J]) ).
fof(i_0_878,plain,
! [X2176] : number267125858f_real(bit1(X2176)) = plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(X2176)),number267125858f_real(X2176)),
inference(variable_rename,[status(thm)],[fact_252_number__of__Bit1]) ).
fof(i_0_879,plain,
! [X2177] : number_number_of_int(bit1(X2177)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X2177)),number_number_of_int(X2177)),
inference(variable_rename,[status(thm)],[fact_253_number__of__Bit1]) ).
fof(i_0_880,plain,
! [X21,X279,X174,X278] :
( X21 = plus_plus_nat(times_times_nat(X279,X174),X278)
=> ( ord_less_nat(zero_zero_nat,X278)
=> ( ord_less_nat(X278,X174)
=> ~ dvd_dvd_nat(X174,X21) ) ) ),
inference(fof_simplification,[status(thm)],[fact_654_divides__div__not]) ).
fof(i_0_881,plain,
! [X175,X21] :
( ord_less_int(zero_zero_int,X21)
=> ( ord_less_int(X21,X175)
=> ~ zcong(X21,zero_zero_int,X175) ) ),
inference(fof_simplification,[status(thm)],[fact_642_zcong__not__zero]) ).
fof(i_0_882,plain,
! [X1773,X1774] :
( ( ~ ord_less_int(bit0(X1773),bit0(X1774))
| ord_less_int(X1773,X1774) )
& ( ~ ord_less_int(X1773,X1774)
| ord_less_int(bit0(X1773),bit0(X1774)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_69_rel__simps_I14_J])]) ).
fof(i_0_883,plain,
! [X1771,X1772] :
( ( ~ ord_less_int(bit0(X1771),bit0(X1772))
| ord_less_int(X1771,X1772) )
& ( ~ ord_less_int(X1771,X1772)
| ord_less_int(bit0(X1771),bit0(X1772)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_68_less__int__code_I13_J])]) ).
fof(i_0_884,plain,
! [X1777,X1778] :
( ( ~ ord_less_eq_int(bit0(X1777),bit0(X1778))
| ord_less_eq_int(X1777,X1778) )
& ( ~ ord_less_eq_int(X1777,X1778)
| ord_less_eq_int(bit0(X1777),bit0(X1778)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_rel__simps_I31_J])]) ).
fof(i_0_885,plain,
! [X1775,X1776] :
( ( ~ ord_less_eq_int(bit0(X1775),bit0(X1776))
| ord_less_eq_int(X1775,X1776) )
& ( ~ ord_less_eq_int(X1775,X1776)
| ord_less_eq_int(bit0(X1775),bit0(X1776)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_71_less__eq__int__code_I13_J])]) ).
fof(i_0_886,plain,
! [X2074,X2075] : times_times_int(bit0(X2074),X2075) = bit0(times_times_int(X2074,X2075)),
inference(variable_rename,[status(thm)],[fact_200_mult__Bit0]) ).
fof(i_0_887,plain,
! [X5,X150] :
( ( zcong(X5,zero_zero_int,X150)
=> legendre(X5,X150) = zero_zero_int )
& ( ~ zcong(X5,zero_zero_int,X150)
=> ( ( quadRes(X150,X5)
=> legendre(X5,X150) = one_one_int )
& ( ~ quadRes(X150,X5)
=> legendre(X5,X150) = number_number_of_int(min) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_621_Legendre__def]) ).
fof(i_0_888,plain,
! [X2786] : minus_minus_int(pls,bit0(X2786)) = bit0(minus_minus_int(pls,X2786)),
inference(variable_rename,[status(thm)],[fact_601_diff__bin__simps_I3_J]) ).
fof(i_0_889,plain,
! [X2467] : number267125858f_real(bit0(X2467)) = plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(X2467)),number267125858f_real(X2467)),
inference(variable_rename,[status(thm)],[fact_419_number__of__Bit0]) ).
fof(i_0_890,plain,
! [X2468] : number_number_of_int(bit0(X2468)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X2468)),number_number_of_int(X2468)),
inference(variable_rename,[status(thm)],[fact_420_number__of__Bit0]) ).
fof(i_0_891,plain,
! [X30,X20] :
( ord_less_eq_nat(number_number_of_nat(X30),number_number_of_nat(X20))
<=> ~ ord_less_nat(number_number_of_nat(X20),number_number_of_nat(X30)) ),
inference(fof_simplification,[status(thm)],[fact_49_le__number__of__eq__not__less]) ).
fof(i_0_892,plain,
! [X30,X20] :
( ord_less_eq_real(number267125858f_real(X30),number267125858f_real(X20))
<=> ~ ord_less_real(number267125858f_real(X20),number267125858f_real(X30)) ),
inference(fof_simplification,[status(thm)],[fact_48_le__number__of__eq__not__less]) ).
fof(i_0_893,plain,
! [X30,X20] :
( ord_less_eq_int(number_number_of_int(X30),number_number_of_int(X20))
<=> ~ ord_less_int(number_number_of_int(X20),number_number_of_int(X30)) ),
inference(fof_simplification,[status(thm)],[fact_50_le__number__of__eq__not__less]) ).
fof(i_0_894,hypothesis,
! [X1662] :
( ~ is_int(X1662)
| is_int(bit1(X1662)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Int_OBit1])]) ).
fof(i_0_895,plain,
! [X40,X41] :
( ( ord_less_int(X41,pls)
=> plus_plus_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(X40) )
& ( ~ ord_less_int(X41,pls)
=> ( ( ord_less_int(X40,pls)
=> plus_plus_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(X41) )
& ( ~ ord_less_int(X40,pls)
=> plus_plus_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(plus_plus_int(X41,X40)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_77_add__nat__number__of]) ).
fof(i_0_896,plain,
! [X2067,X2068] : bit1(X2067) != bit0(X2068),
inference(variable_rename,[status(thm)],[fact_194_rel__simps_I50_J]) ).
fof(i_0_897,plain,
! [X2069,X2070] : bit0(X2069) != bit1(X2070),
inference(variable_rename,[status(thm)],[fact_195_rel__simps_I49_J]) ).
fof(i_0_898,plain,
! [X1975] :
( ( ~ ord_less_int(pls,bit0(X1975))
| ord_less_int(pls,X1975) )
& ( ~ ord_less_int(pls,X1975)
| ord_less_int(pls,bit0(X1975)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_150_rel__simps_I4_J])]) ).
fof(i_0_899,plain,
! [X2650] :
( ( ~ ord_less_int(min,bit0(X2650))
| ord_less_int(min,X2650) )
& ( ~ ord_less_int(min,X2650)
| ord_less_int(min,bit0(X2650)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_527_rel__simps_I8_J])]) ).
fof(i_0_900,plain,
! [X2663] :
( ( ~ ord_less_eq_int(min,bit0(X2663))
| ord_less_int(min,X2663) )
& ( ~ ord_less_int(min,X2663)
| ord_less_eq_int(min,bit0(X2663)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_544_rel__simps_I25_J])]) ).
fof(i_0_901,plain,
! [X1982] :
( ( ~ ord_less_eq_int(pls,bit0(X1982))
| ord_less_eq_int(pls,X1982) )
& ( ~ ord_less_eq_int(pls,X1982)
| ord_less_eq_int(pls,bit0(X1982)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_155_rel__simps_I21_J])]) ).
fof(i_0_902,plain,
! [X1974] :
( ( ~ ord_less_int(bit0(X1974),pls)
| ord_less_int(X1974,pls) )
& ( ~ ord_less_int(X1974,pls)
| ord_less_int(bit0(X1974),pls) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_149_rel__simps_I10_J])]) ).
fof(i_0_903,plain,
! [X2426] :
( ( ~ ord_less_int(bit0(X2426),zero_zero_int)
| ord_less_int(X2426,zero_zero_int) )
& ( ~ ord_less_int(X2426,zero_zero_int)
| ord_less_int(bit0(X2426),zero_zero_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_398_bin__less__0__simps_I3_J])]) ).
fof(i_0_904,plain,
! [X1981] :
( ( ~ ord_less_eq_int(bit0(X1981),pls)
| ord_less_eq_int(X1981,pls) )
& ( ~ ord_less_eq_int(X1981,pls)
| ord_less_eq_int(bit0(X1981),pls) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_154_rel__simps_I27_J])]) ).
fof(i_0_905,plain,
! [X2664] :
( ( ~ ord_less_int(bit0(X2664),min)
| ord_less_eq_int(X2664,min) )
& ( ~ ord_less_eq_int(X2664,min)
| ord_less_int(bit0(X2664),min) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_545_rel__simps_I11_J])]) ).
fof(i_0_906,plain,
! [X2653] :
( ( ~ ord_less_eq_int(bit0(X2653),min)
| ord_less_eq_int(X2653,min) )
& ( ~ ord_less_eq_int(X2653,min)
| ord_less_eq_int(bit0(X2653),min) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_533_rel__simps_I28_J])]) ).
fof(i_0_907,plain,
! [X2184] : times_times_real(plus_plus_real(one_one_real,one_one_real),number267125858f_real(X2184)) = number267125858f_real(bit0(X2184)),
inference(variable_rename,[status(thm)],[fact_267_double__number__of__Bit0]) ).
fof(i_0_908,plain,
! [X2185] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X2185)) = number_number_of_int(bit0(X2185)),
inference(variable_rename,[status(thm)],[fact_268_double__number__of__Bit0]) ).
fof(i_0_909,plain,
! [X30,X216] :
( ord_less_eq_nat(number_number_of_nat(X30),number_number_of_nat(X216))
<=> ( ~ ord_less_eq_int(X30,X216)
=> ord_less_eq_int(X30,pls) ) ),
inference(fof_simplification,[status(thm)],[fact_418_le__nat__number__of]) ).
fof(i_0_910,plain,
! [X40,X41] :
( ( ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = zero_zero_nat )
& ( ~ ord_less_int(X41,pls)
=> times_times_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(times_times_int(X41,X40)) ) ),
inference(fof_simplification,[status(thm)],[fact_562_mult__nat__number__of]) ).
fof(i_0_911,plain,
! [X2644] :
( ( min != bit1(X2644)
| min = X2644
| ~ is_int(X2644) )
& ( min != X2644
| min = bit1(X2644)
| ~ is_int(X2644) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_514_rel__simps_I43_J])])]) ).
fof(i_0_912,plain,
! [X2643] :
( ( bit1(X2643) != min
| X2643 = min
| ~ is_int(X2643) )
& ( X2643 != min
| bit1(X2643) = min
| ~ is_int(X2643) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_513_rel__simps_I47_J])])]) ).
fof(i_0_913,plain,
! [X174,X175] :
( ord_less_int(zero_zero_int,X175)
=> ( ord_less_int(X175,X174)
=> ~ dvd_dvd_int(X174,X175) ) ),
inference(fof_simplification,[status(thm)],[fact_324_zdvd__not__zless]) ).
fof(i_0_914,plain,
! [X7] :
( ~ ord_less_real(zero_zero_real,times_times_real(X7,X7))
<=> X7 = zero_zero_real ),
inference(fof_simplification,[status(thm)],[fact_522_not__real__square__gt__zero]) ).
fof(i_0_915,plain,
! [X1953,X1954] :
( ( bit0(X1953) != bit0(X1954)
| X1953 = X1954
| ~ is_int(X1953)
| ~ is_int(X1954) )
& ( X1953 != X1954
| bit0(X1953) = bit0(X1954)
| ~ is_int(X1953)
| ~ is_int(X1954) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_139_rel__simps_I48_J])])]) ).
fof(i_0_916,plain,
! [X2065] : bit1(X2065) != pls,
inference(variable_rename,[status(thm)],[fact_192_rel__simps_I46_J]) ).
fof(i_0_917,plain,
! [X2066] : pls != bit1(X2066),
inference(variable_rename,[status(thm)],[fact_193_rel__simps_I39_J]) ).
fof(i_0_918,hypothesis,
! [X1661] :
( ~ is_int(X1661)
| is_int(bit0(X1661)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Int_OBit0])]) ).
fof(i_0_919,plain,
! [X2072] :
( ( pls != bit0(X2072)
| pls = X2072
| ~ is_int(X2072) )
& ( pls != X2072
| pls = bit0(X2072)
| ~ is_int(X2072) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_197_rel__simps_I38_J])])]) ).
fof(i_0_920,plain,
! [X2071] :
( ( bit0(X2071) != pls
| X2071 = pls
| ~ is_int(X2071) )
& ( X2071 != pls
| bit0(X2071) = pls
| ~ is_int(X2071) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_196_rel__simps_I44_J])])]) ).
fof(i_0_921,plain,
! [X2645] : bit0(X2645) != min,
inference(variable_rename,[status(thm)],[fact_518_rel__simps_I45_J]) ).
fof(i_0_922,plain,
! [X2646] : min != bit0(X2646),
inference(variable_rename,[status(thm)],[fact_519_rel__simps_I42_J]) ).
cnf(i_0_923,plain,
power_power_int(plus_plus_int(X1,X2),number_number_of_nat(bit1(bit1(pls)))) = plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(X1,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),X2)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),X1),power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(X2,number_number_of_nat(bit1(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_724]) ).
cnf(i_0_924,plain,
bit0(X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_725]) ).
cnf(i_0_925,plain,
bit1(X1) = plus_plus_int(plus_plus_int(one_one_int,X1),X1),
inference(split_conjunct,[status(thm)],[i_0_726]) ).
cnf(i_0_926,plain,
power_power_int(minus_minus_int(X1,X2),number_number_of_nat(bit1(bit1(pls)))) = minus_minus_int(plus_plus_int(minus_minus_int(power_power_int(X1,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),X2)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),X1),power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(X2,number_number_of_nat(bit1(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_727]) ).
cnf(i_0_927,plain,
( X1 = esk6_0
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(X1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
| ~ zcong(s1,X1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_728]) ).
cnf(i_0_928,plain,
( quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min))
| legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_729]) ).
cnf(i_0_929,plain,
( legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),X1),one_one_int)) = one_one_int
| ~ zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),X1),one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_730]) ).
cnf(i_0_930,plain,
twoSqu142715416sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)),
inference(split_conjunct,[status(thm)],[fact_6_qf1pt]) ).
cnf(i_0_931,plain,
zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_304__096_091s_A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_J_096]) ).
cnf(i_0_932,plain,
dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))),
inference(split_conjunct,[status(thm)],[fact_588__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096]) ).
cnf(i_0_933,plain,
dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_287__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096]) ).
cnf(i_0_934,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
inference(split_conjunct,[status(thm)],[i_0_731]) ).
cnf(i_0_935,plain,
zcong(power_power_int(esk9_0,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[i_0_732]) ).
cnf(i_0_936,plain,
zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_501_s]) ).
cnf(i_0_937,plain,
zcong(power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_308_s1]) ).
cnf(i_0_938,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),esk5_0),
inference(split_conjunct,[status(thm)],[i_0_733]) ).
cnf(i_0_939,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
inference(split_conjunct,[status(thm)],[fact_5_t]) ).
cnf(i_0_940,plain,
zcong(s1,esk7_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[i_0_734]) ).
cnf(i_0_941,plain,
zcong(s1,esk6_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[i_0_728]) ).
cnf(i_0_942,plain,
zcong(s1,s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_305_s0p]) ).
cnf(i_0_943,plain,
twoSqu140629262sum2sq(product_Pair_int_int(s,one_one_int)) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
inference(split_conjunct,[status(thm)],[fact_289__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096]) ).
cnf(i_0_944,plain,
quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min)),
inference(split_conjunct,[status(thm)],[fact_587__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096]) ).
cnf(i_0_945,plain,
legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) = one_one_int,
inference(split_conjunct,[status(thm)],[fact_508__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096]) ).
cnf(i_0_946,plain,
ord_less_int(esk7_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[i_0_734]) ).
cnf(i_0_947,plain,
ord_less_int(esk6_0,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[i_0_728]) ).
cnf(i_0_948,plain,
ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_3_t__l__p]) ).
cnf(i_0_949,plain,
ord_less_int(s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_305_s0p]) ).
cnf(i_0_950,plain,
ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_286_p0]) ).
cnf(i_0_951,plain,
zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_4_p]) ).
cnf(i_0_952,plain,
power_power_int(plus_plus_int(X1,X2),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X1),X2)),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_735]) ).
cnf(i_0_953,plain,
power_power_int(minus_minus_int(X1,X2),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(minus_minus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X1),X2)),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_736]) ).
cnf(i_0_954,plain,
power_power_nat(plus_plus_nat(X1,X2),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(plus_plus_nat(power_power_nat(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X2,number_number_of_nat(bit0(bit1(pls))))),times_times_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_737]) ).
cnf(i_0_955,plain,
power_power_real(plus_plus_real(X1,X2),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_real(plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_738]) ).
cnf(i_0_956,plain,
power_power_real(plus_plus_real(X1,X2),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_real(plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_739]) ).
cnf(i_0_957,plain,
power_power_int(plus_plus_int(X1,X2),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_740]) ).
cnf(i_0_958,plain,
( ~ ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))))
| X1 != zero_zero_int
| X2 != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_741]) ).
cnf(i_0_959,plain,
( X1 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_742]) ).
cnf(i_0_960,plain,
( X1 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_742]) ).
cnf(i_0_961,plain,
( ~ ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))))
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_743]) ).
cnf(i_0_962,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_744]) ).
cnf(i_0_963,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X1,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_744]) ).
cnf(i_0_964,plain,
~ ord_less_real(plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real),
inference(split_conjunct,[status(thm)],[i_0_745]) ).
cnf(i_0_965,plain,
~ ord_less_int(plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int),
inference(split_conjunct,[status(thm)],[i_0_746]) ).
cnf(i_0_966,plain,
( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk4_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| ~ ord_less_int(one_one_int,t) ),
inference(split_conjunct,[status(thm)],[i_0_747]) ).
cnf(i_0_967,plain,
( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(esk2_0,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)
| t != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_748]) ).
cnf(i_0_968,plain,
times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),power_power_real(X1,number_number_of_nat(bit0(bit1(pls))))) = power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X1),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_749]) ).
cnf(i_0_969,plain,
( ord_less_eq_int(plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
| X1 != zero_zero_int
| X2 != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_742]) ).
cnf(i_0_970,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_741]) ).
cnf(i_0_971,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_741]) ).
cnf(i_0_972,plain,
( ord_less_eq_real(plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_744]) ).
cnf(i_0_973,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))))) ),
inference(split_conjunct,[status(thm)],[i_0_743]) ).
cnf(i_0_974,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))))) ),
inference(split_conjunct,[status(thm)],[i_0_743]) ).
cnf(i_0_975,plain,
ord_less_eq_real(zero_zero_real,plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))))),
inference(split_conjunct,[status(thm)],[i_0_750]) ).
cnf(i_0_976,plain,
ord_less_eq_int(zero_zero_int,plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))))),
inference(split_conjunct,[status(thm)],[i_0_751]) ).
cnf(i_0_977,plain,
( X1 = number_number_of_int(bit0(bit1(pls)))
| X1 = number_number_of_int(bit1(bit1(pls)))
| ord_less_eq_int(number_number_of_int(bit1(bit0(bit1(pls)))),X1)
| ~ is_int(X1)
| ~ zprime(X1) ),
inference(split_conjunct,[status(thm)],[i_0_752]) ).
cnf(i_0_978,plain,
power_power_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),number_number_of_nat(bit0(bit1(pls)))) = power_power_int(X1,number_number_of_nat(bit0(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_753]) ).
cnf(i_0_979,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ ord_less_eq_int(power_power_int(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_754]) ).
cnf(i_0_980,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(power_power_real(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_755]) ).
cnf(i_0_981,plain,
( ord_less_nat(X1,X2)
| ~ ord_less_nat(power_power_nat(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X2,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_756]) ).
cnf(i_0_982,plain,
( ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_nat(power_power_nat(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X2,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_757]) ).
cnf(i_0_983,plain,
( ord_less_real(X1,X2)
| ~ ord_less_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_real(zero_zero_real,X2) ),
inference(split_conjunct,[status(thm)],[i_0_758]) ).
cnf(i_0_984,plain,
( ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_real(zero_zero_real,X2) ),
inference(split_conjunct,[status(thm)],[i_0_759]) ).
cnf(i_0_985,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_int(zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_760]) ).
cnf(i_0_986,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))))
| ~ ord_less_eq_int(zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_761]) ).
cnf(i_0_987,plain,
( X1 = zero_zero_int
| plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_762]) ).
cnf(i_0_988,plain,
( X1 = zero_zero_int
| plus_plus_int(power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_762]) ).
cnf(i_0_989,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_763]) ).
cnf(i_0_990,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_764]) ).
cnf(i_0_991,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X1,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_763]) ).
cnf(i_0_992,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X1,number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_764]) ).
cnf(i_0_993,plain,
minus_minus_nat(power_power_nat(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(X2,number_number_of_nat(bit0(bit1(pls))))) = times_times_nat(plus_plus_nat(X1,X2),minus_minus_nat(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_765]) ).
cnf(i_0_994,plain,
times_times_int(plus_plus_int(X1,X2),minus_minus_int(X1,X2)) = minus_minus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_766]) ).
cnf(i_0_995,plain,
ord_less_eq_real(zero_zero_real,power_power_real(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2))),
inference(split_conjunct,[status(thm)],[i_0_767]) ).
cnf(i_0_996,plain,
ord_less_eq_int(zero_zero_int,power_power_int(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2))),
inference(split_conjunct,[status(thm)],[i_0_768]) ).
cnf(i_0_997,plain,
( plus_plus_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int
| X1 != zero_zero_int
| X2 != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_762]) ).
cnf(i_0_998,plain,
minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
inference(split_conjunct,[status(thm)],[fact_590__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096]) ).
cnf(i_0_999,plain,
( plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_763]) ).
cnf(i_0_1000,plain,
( plus_plus_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_764]) ).
cnf(i_0_1001,plain,
times_times_int(X1,power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = power_power_int(X1,number_number_of_nat(bit1(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_769]) ).
cnf(i_0_1002,plain,
( zcong(X1,zero_zero_int,X2)
| ~ zcong(power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))),X1,X2)
| ~ dvd_dvd_int(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_770]) ).
cnf(i_0_1003,plain,
( quadRes(X3,X2)
| ~ is_int(X1)
| ~ zcong(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_771]) ).
cnf(i_0_1004,plain,
( X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))) != power_power_int(X2,number_number_of_nat(bit0(bit1(pls))))
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_772]) ).
cnf(i_0_1005,plain,
( X1 = X2
| power_power_nat(X1,number_number_of_nat(bit0(bit1(pls)))) != power_power_nat(X2,number_number_of_nat(bit0(bit1(pls))))
| ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_eq_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_773]) ).
cnf(i_0_1006,plain,
( X1 = X2
| power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))) != power_power_real(X2,number_number_of_nat(bit0(bit1(pls))))
| ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_eq_real(zero_zero_real,X2) ),
inference(split_conjunct,[status(thm)],[i_0_774]) ).
cnf(i_0_1007,plain,
( ~ ord_less_int(zero_zero_int,power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_775]) ).
cnf(i_0_1008,plain,
( ~ ord_less_real(zero_zero_real,power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))))
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_776]) ).
cnf(i_0_1009,plain,
~ ord_less_real(power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),zero_zero_real),
inference(split_conjunct,[status(thm)],[i_0_777]) ).
cnf(i_0_1010,plain,
~ ord_less_int(power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
inference(split_conjunct,[status(thm)],[i_0_778]) ).
cnf(i_0_1011,plain,
power_power_nat(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)) = power_power_nat(power_power_nat(X1,X2),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_779]) ).
cnf(i_0_1012,plain,
power_power_real(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)) = power_power_real(power_power_real(X1,X2),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_780]) ).
cnf(i_0_1013,plain,
power_power_int(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)) = power_power_int(power_power_int(X1,X2),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_781]) ).
cnf(i_0_1014,plain,
( zcong(power_power_int(esk11_2(X1,X2),number_number_of_nat(bit0(bit1(pls)))),X2,X1)
| ~ quadRes(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_771]) ).
cnf(i_0_1015,plain,
power_power_nat(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)) = times_times_nat(power_power_nat(X1,X2),power_power_nat(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_782]) ).
cnf(i_0_1016,plain,
power_power_real(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)) = times_times_real(power_power_real(X1,X2),power_power_real(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_783]) ).
cnf(i_0_1017,plain,
power_power_int(X1,times_times_nat(number_number_of_nat(bit0(bit1(pls))),X2)) = times_times_int(power_power_int(X1,X2),power_power_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_784]) ).
cnf(i_0_1018,plain,
( X2 = zero_zero_nat
| X2 = X1
| ord_less_eq_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1),X2)
| ~ dvd_dvd_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_785]) ).
cnf(i_0_1019,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_775]) ).
cnf(i_0_1020,plain,
power_power_real(number267125858f_real(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1)) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_786]) ).
cnf(i_0_1021,plain,
power_power_int(number_number_of_int(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1)) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_787]) ).
cnf(i_0_1022,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,power_power_real(X1,number_number_of_nat(bit0(bit1(pls))))) ),
inference(split_conjunct,[status(thm)],[i_0_776]) ).
cnf(i_0_1023,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_788]) ).
cnf(i_0_1024,plain,
ord_less_eq_real(one_one_real,power_power_real(number267125858f_real(bit0(bit1(pls))),X1)),
inference(split_conjunct,[status(thm)],[i_0_789]) ).
cnf(i_0_1025,plain,
ord_less_eq_real(zero_zero_real,power_power_real(X1,number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_790]) ).
cnf(i_0_1026,plain,
ord_less_eq_int(zero_zero_int,power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_791]) ).
cnf(i_0_1027,plain,
( power_power_int(number_number_of_int(min),X2) = power_power_int(number_number_of_int(min),X3)
| ~ ord_less_int(number_number_of_int(bit0(bit1(pls))),X1)
| ~ zcong(power_power_int(number_number_of_int(min),X2),power_power_int(number_number_of_int(min),X3),X1) ),
inference(split_conjunct,[status(thm)],[i_0_792]) ).
cnf(i_0_1028,plain,
( ~ ord_less_int(number_number_of_int(bit0(bit1(pls))),X1)
| ~ zcong(X2,number_number_of_int(min),X1)
| ~ zcong(X2,one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_793]) ).
cnf(i_0_1029,plain,
( ~ ord_less_int(number_number_of_int(bit0(bit1(pls))),X1)
| ~ zcong(one_one_int,number_number_of_int(min),X1) ),
inference(split_conjunct,[status(thm)],[i_0_794]) ).
cnf(i_0_1030,plain,
power_power_nat(X1,number_number_of_nat(bit1(bit1(pls)))) = times_times_nat(times_times_nat(X1,X1),X1),
inference(split_conjunct,[status(thm)],[i_0_795]) ).
cnf(i_0_1031,plain,
power_power_real(X1,number_number_of_nat(bit1(bit1(pls)))) = times_times_real(times_times_real(X1,X1),X1),
inference(split_conjunct,[status(thm)],[i_0_796]) ).
cnf(i_0_1032,plain,
power_power_int(X1,number_number_of_nat(bit1(bit1(pls)))) = times_times_int(times_times_int(X1,X1),X1),
inference(split_conjunct,[status(thm)],[i_0_797]) ).
cnf(i_0_1033,plain,
( X1 = zero_zero_int
| X1 = one_one_int
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(X1,number_number_of_int(bit0(bit1(pls)))) ),
inference(split_conjunct,[status(thm)],[i_0_798]) ).
cnf(i_0_1034,plain,
ord_less_eq_int(zero_zero_int,number_number_of_int(bit1(bit1(pls)))),
inference(split_conjunct,[status(thm)],[fact_696_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J]) ).
cnf(i_0_1035,plain,
( X1 = zero_zero_int
| power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_799]) ).
cnf(i_0_1036,plain,
( X1 = zero_zero_real
| power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_800]) ).
fof(i_0_1037,plain,
! [X2789,X2790,X2791,X2792,X2793,X2794,X2795] : plus_plus_int(times_times_int(minus_minus_int(X2789,times_times_int(X2790,X2791)),X2792),times_times_int(minus_minus_int(X2793,times_times_int(X2790,X2794)),X2795)) = minus_minus_int(plus_plus_int(times_times_int(X2789,X2792),times_times_int(X2793,X2795)),times_times_int(X2790,plus_plus_int(times_times_int(X2791,X2792),times_times_int(X2794,X2795)))),
inference(variable_rename,[status(thm)],[fact_603_xzgcda__linear__aux1]) ).
fof(i_0_1038,plain,
! [X2808,X2809,X2810,X2811] : times_times_int(twoSqu140629262sum2sq(product_Pair_int_int(X2808,X2809)),twoSqu140629262sum2sq(product_Pair_int_int(X2810,X2811))) = twoSqu140629262sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(X2808,X2810),times_times_int(X2809,X2811)),minus_minus_int(times_times_int(X2808,X2811),times_times_int(X2809,X2810)))),
inference(variable_rename,[status(thm)],[fact_611_mult__sum2sq]) ).
cnf(i_0_1039,plain,
power_power_nat(number_number_of_nat(X1),number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(number_number_of_nat(X1),number_number_of_nat(X1)),
inference(split_conjunct,[status(thm)],[i_0_801]) ).
cnf(i_0_1040,plain,
power_power_real(number267125858f_real(X1),number_number_of_nat(bit0(bit1(pls)))) = times_times_real(number267125858f_real(X1),number267125858f_real(X1)),
inference(split_conjunct,[status(thm)],[i_0_802]) ).
cnf(i_0_1041,plain,
power_power_int(number_number_of_int(X1),number_number_of_nat(bit0(bit1(pls)))) = times_times_int(number_number_of_int(X1),number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[i_0_803]) ).
cnf(i_0_1042,plain,
times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1) = plus_plus_nat(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_804]) ).
cnf(i_0_1043,plain,
times_times_nat(number_number_of_nat(bit0(bit1(pls))),X1) = plus_plus_nat(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_805]) ).
cnf(i_0_1044,plain,
times_times_real(number267125858f_real(bit0(bit1(pls))),X1) = plus_plus_real(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_806]) ).
cnf(i_0_1045,plain,
times_times_real(number267125858f_real(bit0(bit1(pls))),X1) = plus_plus_real(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_807]) ).
cnf(i_0_1046,plain,
times_times_int(number_number_of_int(bit0(bit1(pls))),X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_808]) ).
cnf(i_0_1047,plain,
times_times_int(number_number_of_int(bit0(bit1(pls))),X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_809]) ).
cnf(i_0_1048,plain,
times_times_nat(X1,number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_810]) ).
cnf(i_0_1049,plain,
times_times_nat(X1,number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_811]) ).
cnf(i_0_1050,plain,
power_power_nat(X1,number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_812]) ).
cnf(i_0_1051,plain,
times_times_real(X1,number267125858f_real(bit0(bit1(pls)))) = plus_plus_real(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_813]) ).
cnf(i_0_1052,plain,
times_times_real(X1,number267125858f_real(bit0(bit1(pls)))) = plus_plus_real(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_814]) ).
cnf(i_0_1053,plain,
power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))) = times_times_real(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_815]) ).
cnf(i_0_1054,plain,
power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_816]) ).
cnf(i_0_1055,plain,
times_times_int(X1,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_817]) ).
cnf(i_0_1056,plain,
times_times_int(X1,number_number_of_int(bit0(bit1(pls)))) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_818]) ).
cnf(i_0_1057,plain,
times_times_nat(X1,X1) = power_power_nat(X1,number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_819]) ).
cnf(i_0_1058,plain,
times_times_real(X1,X1) = power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_820]) ).
cnf(i_0_1059,plain,
times_times_int(X1,X1) = power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_821]) ).
cnf(i_0_1060,plain,
( power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_799]) ).
cnf(i_0_1061,plain,
( power_power_real(X1,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_800]) ).
cnf(i_0_1062,plain,
ord_less_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[fact_560_pos2]) ).
cnf(i_0_1063,plain,
ord_less_eq_int(zero_zero_int,number_number_of_int(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[fact_686_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J]) ).
cnf(i_0_1064,plain,
power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_437_zero__power2]) ).
cnf(i_0_1065,plain,
power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls)))) = one_one_nat,
inference(split_conjunct,[status(thm)],[fact_17_one__power2]) ).
cnf(i_0_1066,plain,
power_power_real(zero_zero_real,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real,
inference(split_conjunct,[status(thm)],[fact_436_zero__power2]) ).
cnf(i_0_1067,plain,
power_power_real(one_one_real,number_number_of_nat(bit0(bit1(pls)))) = one_one_real,
inference(split_conjunct,[status(thm)],[fact_16_one__power2]) ).
cnf(i_0_1068,plain,
power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_438_zero__power2]) ).
cnf(i_0_1069,plain,
power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls)))) = one_one_int,
inference(split_conjunct,[status(thm)],[fact_18_one__power2]) ).
cnf(i_0_1070,plain,
zprime(number_number_of_int(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[fact_89_zprime__2]) ).
fof(i_0_1071,plain,
! [X2369,X2370,X2371,X2372,X2373] :
( ( ~ dvd_dvd_int(X2372,plus_plus_int(X2370,X2371))
| dvd_dvd_int(X2372,plus_plus_int(plus_plus_int(X2370,times_times_int(X2369,X2373)),X2371))
| ~ dvd_dvd_int(X2372,X2373) )
& ( ~ dvd_dvd_int(X2372,plus_plus_int(plus_plus_int(X2370,times_times_int(X2369,X2373)),X2371))
| dvd_dvd_int(X2372,plus_plus_int(X2370,X2371))
| ~ dvd_dvd_int(X2372,X2373) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_371_zdvd__period])])]) ).
fof(i_0_1072,plain,
! [X3004,X3005,X3006,X3007,X3008,X3009] :
( plus_plus_int(times_times_int(X3004,X3005),X3006) != plus_plus_int(times_times_int(X3007,X3008),X3009)
| ~ ord_less_int(plus_plus_int(times_times_int(X3007,X3008),X3009),zero_zero_int)
| ~ ord_less_int(X3006,X3004)
| ~ ord_less_eq_int(zero_zero_int,X3009)
| ~ ord_less_int(zero_zero_int,X3007)
| ~ ord_less_eq_int(X3007,X3004)
| ord_less_eq_int(X3008,X3005) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_684_zdiv__mono2__neg__lemma])]) ).
fof(i_0_1073,plain,
! [X2993,X2994,X2995,X2996,X2997,X2998] :
( plus_plus_int(times_times_int(X2993,X2994),X2995) != plus_plus_int(times_times_int(X2996,X2997),X2998)
| ~ ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X2996,X2997),X2998))
| ~ ord_less_int(X2998,X2996)
| ~ ord_less_eq_int(zero_zero_int,X2995)
| ~ ord_less_int(zero_zero_int,X2996)
| ~ ord_less_eq_int(X2996,X2993)
| ord_less_eq_int(X2994,X2997) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_682_zdiv__mono2__lemma])]) ).
fof(i_0_1074,plain,
! [X2743,X2744,X2745,X2747,X2748] :
( ( is_int(esk10_3(X2743,X2744,X2745))
| ~ zcong(X2743,X2744,X2745)
| ~ is_int(X2744) )
& ( X2744 = plus_plus_int(X2743,times_times_int(X2745,esk10_3(X2743,X2744,X2745)))
| ~ zcong(X2743,X2744,X2745)
| ~ is_int(X2744) )
& ( ~ is_int(X2748)
| X2744 != plus_plus_int(X2743,times_times_int(X2747,X2748))
| zcong(X2743,X2744,X2747)
| ~ is_int(X2744) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_580_zcong__iff__lin])])])])])]) ).
fof(i_0_1075,plain,
! [X2988,X2989,X2990,X2991,X2992] :
( ~ ord_less_eq_int(plus_plus_int(times_times_int(X2988,X2989),X2990),plus_plus_int(times_times_int(X2988,X2991),X2992))
| ~ ord_less_eq_int(zero_zero_int,X2990)
| ~ ord_less_int(X2990,X2988)
| ~ ord_less_int(X2992,X2988)
| ord_less_eq_int(X2989,X2991) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_681_unique__quotient__lemma])]) ).
fof(i_0_1076,plain,
! [X2999,X3000,X3001,X3002,X3003] :
( ~ ord_less_eq_int(plus_plus_int(times_times_int(X2999,X3000),X3001),plus_plus_int(times_times_int(X2999,X3002),X3003))
| ~ ord_less_eq_int(X3003,zero_zero_int)
| ~ ord_less_int(X2999,X3003)
| ~ ord_less_int(X2999,X3001)
| ord_less_eq_int(X3002,X3000) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_683_unique__quotient__lemma__neg])]) ).
fof(i_0_1077,plain,
! [X2859,X2860,X2861,X2862,X2863] :
( ( ~ zcong(X2859,times_times_int(X2860,X2861),X2863)
| zcong(X2859,times_times_int(X2860,X2862),X2863)
| ~ zcong(X2861,X2862,X2863) )
& ( ~ zcong(X2859,times_times_int(X2860,X2862),X2863)
| zcong(X2859,times_times_int(X2860,X2861),X2863)
| ~ zcong(X2861,X2862,X2863) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_634_zcong__zmult__prop2])])]) ).
fof(i_0_1078,plain,
! [X2864,X2865,X2866,X2867,X2868] :
( ( ~ zcong(X2864,times_times_int(X2866,X2865),X2868)
| zcong(X2864,times_times_int(X2867,X2865),X2868)
| ~ zcong(X2866,X2867,X2868) )
& ( ~ zcong(X2864,times_times_int(X2867,X2865),X2868)
| zcong(X2864,times_times_int(X2866,X2865),X2868)
| ~ zcong(X2866,X2867,X2868) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_635_zcong__zmult__prop1])])]) ).
cnf(i_0_1079,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_284_semiring__one__add__one__is__two]) ).
cnf(i_0_1080,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_62_nat__1__add__1]) ).
cnf(i_0_1081,plain,
plus_plus_real(one_one_real,one_one_real) = number267125858f_real(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_283_semiring__one__add__one__is__two]) ).
cnf(i_0_1082,plain,
plus_plus_real(one_one_real,one_one_real) = number267125858f_real(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_32_one__add__one__is__two]) ).
cnf(i_0_1083,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_285_semiring__one__add__one__is__two]) ).
cnf(i_0_1084,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_33_one__add__one__is__two]) ).
fof(i_0_1085,plain,
! [X2812,X2813] :
( ~ zprime(X2813)
| ~ ord_less_int(zero_zero_int,X2812)
| ~ zcong(times_times_int(X2812,X2812),one_one_int,X2813)
| zcong(X2812,one_one_int,X2813)
| zcong(X2812,minus_minus_int(X2813,one_one_int),X2813) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_612_zcong__square])]) ).
fof(i_0_1086,plain,
! [X2711,X2712,X2713,X2714,X2715] :
( ~ zcong(X2713,X2714,X2715)
| ~ zcong(X2711,X2712,X2715)
| zcong(times_times_int(X2713,X2711),times_times_int(X2714,X2712),X2715) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_569_zcong__zmult])]) ).
fof(i_0_1087,plain,
! [X2727,X2728,X2729,X2730,X2731] :
( ~ zcong(X2729,X2730,X2731)
| ~ zcong(X2727,X2728,X2731)
| zcong(plus_plus_int(X2729,X2727),plus_plus_int(X2730,X2728),X2731) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_573_zcong__zadd])]) ).
fof(i_0_1088,plain,
! [X2763,X2764,X2765,X2766,X2767] :
( ~ zcong(X2765,X2766,X2767)
| ~ zcong(X2763,X2764,X2767)
| zcong(minus_minus_int(X2765,X2763),minus_minus_int(X2766,X2764),X2767) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_592_zcong__zdiff])]) ).
fof(i_0_1089,plain,
! [X2806,X2807] :
( ( ~ zcong(times_times_int(X2806,minus_minus_int(X2807,one_one_int)),one_one_int,X2807)
| zcong(X2806,minus_minus_int(X2807,one_one_int),X2807) )
& ( ~ zcong(X2806,minus_minus_int(X2807,one_one_int),X2807)
| zcong(times_times_int(X2806,minus_minus_int(X2807,one_one_int)),one_one_int,X2807) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_610_inv__not__p__minus__1__aux])]) ).
cnf(i_0_1090,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(bit1(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_822]) ).
cnf(i_0_1091,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(bit1(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_823]) ).
cnf(i_0_1092,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(bit1(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_824]) ).
cnf(i_0_1093,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(bit1(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_825]) ).
fof(i_0_1094,plain,
! [X2924,X2925,X2926] :
( ~ zprime(X2926)
| ~ ord_less_int(zero_zero_int,X2925)
| ~ zcong(times_times_int(X2925,X2924),zero_zero_int,X2926)
| zcong(X2925,zero_zero_int,X2926)
| zcong(X2924,zero_zero_int,X2926) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_656_zcong__zprime__prod__zero])]) ).
fof(i_0_1095,plain,
! [X2921,X2922,X2923] :
( ~ zprime(X2923)
| ~ ord_less_int(zero_zero_int,X2922)
| zcong(X2922,zero_zero_int,X2923)
| zcong(X2921,zero_zero_int,X2923)
| ~ zcong(times_times_int(X2922,X2921),zero_zero_int,X2923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_826])]) ).
fof(i_0_1096,plain,
! [X2362,X2363,X2364,X2365] :
( ~ zcong(power_power_int(X2363,X2364),one_one_int,X2365)
| zcong(power_power_int(X2363,times_times_nat(X2364,X2362)),one_one_int,X2365) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_369_zcong__zpower__zmult])]) ).
fof(i_0_1097,plain,
! [X2463,X2464] :
( ( ~ ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X2463,X2463),times_times_int(X2464,X2464)))
| X2463 != zero_zero_int
| X2464 != zero_zero_int
| ~ is_int(X2463)
| ~ is_int(X2464) )
& ( X2463 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X2463,X2463),times_times_int(X2464,X2464)))
| ~ is_int(X2463)
| ~ is_int(X2464) )
& ( X2464 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X2463,X2463),times_times_int(X2464,X2464)))
| ~ is_int(X2463)
| ~ is_int(X2464) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_417_sum__squares__gt__zero__iff])])]) ).
fof(i_0_1098,plain,
! [X2007,X2008,X2009,X2010] :
( ( plus_plus_int(times_times_int(X2007,X2008),times_times_int(X2009,X2010)) != plus_plus_int(times_times_int(X2007,X2010),times_times_int(X2009,X2008))
| X2007 = X2009
| X2008 = X2010
| ~ is_int(X2007)
| ~ is_int(X2008)
| ~ is_int(X2009)
| ~ is_int(X2010) )
& ( X2007 != X2009
| plus_plus_int(times_times_int(X2007,X2008),times_times_int(X2009,X2010)) = plus_plus_int(times_times_int(X2007,X2010),times_times_int(X2009,X2008))
| ~ is_int(X2007)
| ~ is_int(X2008)
| ~ is_int(X2009)
| ~ is_int(X2010) )
& ( X2008 != X2010
| plus_plus_int(times_times_int(X2007,X2008),times_times_int(X2009,X2010)) = plus_plus_int(times_times_int(X2007,X2010),times_times_int(X2009,X2008))
| ~ is_int(X2007)
| ~ is_int(X2008)
| ~ is_int(X2009)
| ~ is_int(X2010) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_170_crossproduct__eq])])]) ).
fof(i_0_1099,plain,
! [X2037,X2038,X2039,X2040] :
( ( X2039 = X2040
| X2037 = X2038
| plus_plus_int(times_times_int(X2039,X2037),times_times_int(X2040,X2038)) != plus_plus_int(times_times_int(X2039,X2038),times_times_int(X2040,X2037))
| ~ is_int(X2037)
| ~ is_int(X2038)
| ~ is_int(X2039)
| ~ is_int(X2040) )
& ( X2039 != X2040
| plus_plus_int(times_times_int(X2039,X2037),times_times_int(X2040,X2038)) = plus_plus_int(times_times_int(X2039,X2038),times_times_int(X2040,X2037))
| ~ is_int(X2037)
| ~ is_int(X2038)
| ~ is_int(X2039)
| ~ is_int(X2040) )
& ( X2037 != X2038
| plus_plus_int(times_times_int(X2039,X2037),times_times_int(X2040,X2038)) = plus_plus_int(times_times_int(X2039,X2038),times_times_int(X2040,X2037))
| ~ is_int(X2037)
| ~ is_int(X2038)
| ~ is_int(X2039)
| ~ is_int(X2040) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_179_crossproduct__noteq])])]) ).
fof(i_0_1100,plain,
! [X2453,X2454] :
( ( X2453 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X2453,X2453),times_times_int(X2454,X2454)),zero_zero_int)
| ~ is_int(X2453)
| ~ is_int(X2454) )
& ( X2454 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X2453,X2453),times_times_int(X2454,X2454)),zero_zero_int)
| ~ is_int(X2453)
| ~ is_int(X2454) )
& ( X2453 != zero_zero_int
| X2454 != zero_zero_int
| ord_less_eq_int(plus_plus_int(times_times_int(X2453,X2453),times_times_int(X2454,X2454)),zero_zero_int)
| ~ is_int(X2453)
| ~ is_int(X2454) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_412_sum__squares__le__zero__iff])])]) ).
fof(i_0_1101,plain,
! [X2914,X2915,X2916] :
( ~ zprime(X2916)
| zcong(X2915,zero_zero_int,X2916)
| zcong(X2914,zero_zero_int,X2916)
| ~ zcong(times_times_int(X2915,X2914),zero_zero_int,X2916) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_827])]) ).
fof(i_0_1102,plain,
! [X2833,X2834,X2835,X2836,X2837] :
( ~ zcong(X2835,X2836,X2837)
| X2836 != X2834
| ~ zcong(X2834,X2833,X2837)
| zcong(X2835,X2833,X2837) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_624_zcong__eq__trans])]) ).
cnf(i_0_1103,plain,
times_times_int(bit1(X1),X2) = plus_plus_int(bit0(times_times_int(X1,X2)),X2),
inference(split_conjunct,[status(thm)],[i_0_828]) ).
fof(i_0_1104,plain,
! [X2461,X2462] :
( ( ~ ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X2461,X2461),times_times_real(X2462,X2462)))
| X2461 != zero_zero_real
| X2462 != zero_zero_real )
& ( X2461 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X2461,X2461),times_times_real(X2462,X2462))) )
& ( X2462 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X2461,X2461),times_times_real(X2462,X2462))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_416_sum__squares__gt__zero__iff])])]) ).
fof(i_0_1105,plain,
! [X2689,X2690,X2691,X2692] :
( ~ zcong(X2690,X2691,X2692)
| ~ zcong(X2691,X2689,X2692)
| zcong(X2690,X2689,X2692) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_559_zcong__trans])]) ).
cnf(i_0_1106,plain,
plus_plus_int(bit1(X1),bit0(X2)) = bit1(plus_plus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_829]) ).
cnf(i_0_1107,plain,
minus_minus_int(bit1(X1),bit0(X2)) = bit1(minus_minus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_830]) ).
cnf(i_0_1108,plain,
plus_plus_int(bit0(X1),bit1(X2)) = bit1(plus_plus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_831]) ).
fof(i_0_1109,plain,
! [X2451,X2452] :
( ( X2451 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(times_times_real(X2451,X2451),times_times_real(X2452,X2452)),zero_zero_real) )
& ( X2452 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(times_times_real(X2451,X2451),times_times_real(X2452,X2452)),zero_zero_real) )
& ( X2451 != zero_zero_real
| X2452 != zero_zero_real
| ord_less_eq_real(plus_plus_real(times_times_real(X2451,X2451),times_times_real(X2452,X2452)),zero_zero_real) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_411_sum__squares__le__zero__iff])])]) ).
fof(i_0_1110,plain,
! [X2457,X2458] : ~ ord_less_real(plus_plus_real(times_times_real(X2457,X2457),times_times_real(X2458,X2458)),zero_zero_real),
inference(variable_rename,[status(thm)],[i_0_832]) ).
fof(i_0_1111,plain,
! [X2459,X2460] : ~ ord_less_int(plus_plus_int(times_times_int(X2459,X2459),times_times_int(X2460,X2460)),zero_zero_int),
inference(variable_rename,[status(thm)],[i_0_833]) ).
cnf(i_0_1112,plain,
minus_minus_int(bit1(X1),bit1(X2)) = bit0(minus_minus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_834]) ).
fof(i_0_1113,plain,
! [X2003,X2004,X2005,X2006] :
( ( plus_plus_nat(times_times_nat(X2003,X2004),times_times_nat(X2005,X2006)) != plus_plus_nat(times_times_nat(X2003,X2006),times_times_nat(X2005,X2004))
| X2003 = X2005
| X2004 = X2006 )
& ( X2003 != X2005
| plus_plus_nat(times_times_nat(X2003,X2004),times_times_nat(X2005,X2006)) = plus_plus_nat(times_times_nat(X2003,X2006),times_times_nat(X2005,X2004)) )
& ( X2004 != X2006
| plus_plus_nat(times_times_nat(X2003,X2004),times_times_nat(X2005,X2006)) = plus_plus_nat(times_times_nat(X2003,X2006),times_times_nat(X2005,X2004)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_169_crossproduct__eq])])]) ).
fof(i_0_1114,plain,
! [X1999,X2000,X2001,X2002] :
( ( plus_plus_real(times_times_real(X1999,X2000),times_times_real(X2001,X2002)) != plus_plus_real(times_times_real(X1999,X2002),times_times_real(X2001,X2000))
| X1999 = X2001
| X2000 = X2002 )
& ( X1999 != X2001
| plus_plus_real(times_times_real(X1999,X2000),times_times_real(X2001,X2002)) = plus_plus_real(times_times_real(X1999,X2002),times_times_real(X2001,X2000)) )
& ( X2000 != X2002
| plus_plus_real(times_times_real(X1999,X2000),times_times_real(X2001,X2002)) = plus_plus_real(times_times_real(X1999,X2002),times_times_real(X2001,X2000)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_168_crossproduct__eq])])]) ).
fof(i_0_1115,plain,
! [X2033,X2034,X2035,X2036] :
( ( X2035 = X2036
| X2033 = X2034
| plus_plus_nat(times_times_nat(X2035,X2033),times_times_nat(X2036,X2034)) != plus_plus_nat(times_times_nat(X2035,X2034),times_times_nat(X2036,X2033)) )
& ( X2035 != X2036
| plus_plus_nat(times_times_nat(X2035,X2033),times_times_nat(X2036,X2034)) = plus_plus_nat(times_times_nat(X2035,X2034),times_times_nat(X2036,X2033)) )
& ( X2033 != X2034
| plus_plus_nat(times_times_nat(X2035,X2033),times_times_nat(X2036,X2034)) = plus_plus_nat(times_times_nat(X2035,X2034),times_times_nat(X2036,X2033)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_178_crossproduct__noteq])])]) ).
fof(i_0_1116,plain,
! [X2029,X2030,X2031,X2032] :
( ( X2031 = X2032
| X2029 = X2030
| plus_plus_real(times_times_real(X2031,X2029),times_times_real(X2032,X2030)) != plus_plus_real(times_times_real(X2031,X2030),times_times_real(X2032,X2029)) )
& ( X2031 != X2032
| plus_plus_real(times_times_real(X2031,X2029),times_times_real(X2032,X2030)) = plus_plus_real(times_times_real(X2031,X2030),times_times_real(X2032,X2029)) )
& ( X2029 != X2030
| plus_plus_real(times_times_real(X2031,X2029),times_times_real(X2032,X2030)) = plus_plus_real(times_times_real(X2031,X2030),times_times_real(X2032,X2029)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_177_crossproduct__noteq])])]) ).
fof(i_0_1117,plain,
! [X2889,X2890,X2891] :
( ~ is_int(X2890)
| ~ is_int(X2891)
| ~ ord_less_int(zero_zero_int,X2891)
| ~ ord_less_int(zero_zero_int,X2890)
| ~ ord_less_int(zero_zero_int,X2889)
| ~ zcong(X2891,X2890,X2889)
| ~ ord_less_int(X2891,X2889)
| ~ ord_less_int(X2890,X2889)
| X2891 = X2890 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_643_zcong__less__eq])]) ).
fof(i_0_1118,plain,
! [X2982,X2983,X2984] :
( ~ ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X2982,X2983),X2984))
| ~ ord_less_int(X2984,X2982)
| ~ ord_less_int(zero_zero_int,X2982)
| ord_less_eq_int(zero_zero_int,X2983) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_679_q__pos__lemma])]) ).
fof(i_0_1119,plain,
! [X2814,X2815] :
( ~ is_int(X2814)
| ~ zprime(X2815)
| ~ ord_less_int(zero_zero_int,X2814)
| ~ ord_less_int(X2814,X2815)
| ~ zcong(times_times_int(X2814,X2814),one_one_int,X2815)
| X2814 = one_one_int
| X2814 = minus_minus_int(X2815,one_one_int) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_613_zcong__square__zless])]) ).
fof(i_0_1120,plain,
! [X2985,X2986,X2987] :
( ~ ord_less_int(plus_plus_int(times_times_int(X2985,X2986),X2987),zero_zero_int)
| ~ ord_less_eq_int(zero_zero_int,X2987)
| ~ ord_less_int(zero_zero_int,X2985)
| ord_less_eq_int(X2986,zero_zero_int) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_680_q__neg__lemma])]) ).
fof(i_0_1121,plain,
! [X2878,X2879,X2880,X2881] :
( ~ zcong(X2879,X2880,X2881)
| zcong(power_power_int(X2879,X2878),power_power_int(X2880,X2878),X2881) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_639_zcong__zpower])]) ).
fof(i_0_1122,plain,
! [X2720,X2721,X2722,X2723] :
( ~ zcong(X2721,X2722,X2723)
| zcong(times_times_int(X2721,X2720),times_times_int(X2722,X2720),X2723) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_571_zcong__scalar])]) ).
fof(i_0_1123,plain,
! [X2716,X2717,X2718,X2719] :
( ~ zcong(X2717,X2718,X2719)
| zcong(times_times_int(X2716,X2717),times_times_int(X2716,X2718),X2719) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_570_zcong__scalar2])]) ).
fof(i_0_1124,plain,
! [X2869,X2870,X2871,X2872] :
( ~ zcong(X2870,X2871,X2872)
| zcong(plus_plus_int(X2870,X2869),plus_plus_int(X2871,X2869),X2872) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_636_zcong__shift])]) ).
cnf(i_0_1125,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(bit1(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_835]) ).
cnf(i_0_1126,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(bit1(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_836]) ).
cnf(i_0_1127,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(bit1(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_837]) ).
cnf(i_0_1128,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(bit1(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_838]) ).
cnf(i_0_1129,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_int(bit0(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_839]) ).
cnf(i_0_1130,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_int(bit0(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_840]) ).
cnf(i_0_1131,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(bit0(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_841]) ).
cnf(i_0_1132,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(bit0(X1),bit1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_842]) ).
cnf(i_0_1133,plain,
minus_minus_int(pls,bit1(X1)) = bit1(minus_minus_int(min,X1)),
inference(split_conjunct,[status(thm)],[i_0_843]) ).
fof(i_0_1134,plain,
! [X2752,X2753,X2754] :
( ~ is_int(X2752)
| ~ is_int(X2754)
| ~ ord_less_eq_int(zero_zero_int,X2754)
| ~ ord_less_int(X2754,X2753)
| ~ ord_less_eq_int(zero_zero_int,X2752)
| ~ ord_less_int(X2752,X2753)
| ~ zcong(X2754,X2752,X2753)
| X2754 = X2752 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_584_zcong__zless__imp__eq])]) ).
cnf(i_0_1135,plain,
( ord_less_int(bit1(X1),bit1(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_822]) ).
cnf(i_0_1136,plain,
( ord_less_int(bit1(X1),bit1(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_823]) ).
cnf(i_0_1137,plain,
( ord_less_eq_int(bit1(X1),bit1(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_824]) ).
cnf(i_0_1138,plain,
( ord_less_eq_int(bit1(X1),bit1(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_825]) ).
cnf(i_0_1139,plain,
plus_plus_real(number267125858f_real(X1),one_one_real) = number267125858f_real(plus_plus_int(X1,bit1(pls))),
inference(split_conjunct,[status(thm)],[i_0_844]) ).
cnf(i_0_1140,plain,
plus_plus_int(number_number_of_int(X1),one_one_int) = number_number_of_int(plus_plus_int(X1,bit1(pls))),
inference(split_conjunct,[status(thm)],[i_0_845]) ).
cnf(i_0_1141,plain,
plus_plus_real(one_one_real,number267125858f_real(X1)) = number267125858f_real(plus_plus_int(bit1(pls),X1)),
inference(split_conjunct,[status(thm)],[i_0_846]) ).
cnf(i_0_1142,plain,
plus_plus_int(one_one_int,number_number_of_int(X1)) = number_number_of_int(plus_plus_int(bit1(pls),X1)),
inference(split_conjunct,[status(thm)],[i_0_847]) ).
fof(i_0_1143,plain,
! [X2740,X2741,X2742] :
( ~ ord_less_int(zero_zero_int,X2742)
| ~ ord_less_int(X2742,X2741)
| ~ ord_less_int(zero_zero_int,X2740)
| ~ ord_less_int(X2740,X2742)
| ~ zcong(X2742,X2740,X2741) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_848])]) ).
fof(i_0_1144,plain,
! [X2439,X2440,X2441,X2442] :
( ~ zprime(X2442)
| dvd_dvd_int(X2442,X2441)
| ~ dvd_dvd_int(power_power_int(X2442,X2439),times_times_int(X2441,X2440))
| dvd_dvd_int(power_power_int(X2442,X2439),X2440) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_849])]) ).
fof(i_0_1145,plain,
! [X2443,X2444,X2445,X2446] :
( ~ zprime(X2446)
| dvd_dvd_int(X2446,X2445)
| ~ dvd_dvd_int(power_power_int(X2446,X2443),times_times_int(X2444,X2445))
| dvd_dvd_int(power_power_int(X2446,X2443),X2444) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_850])]) ).
fof(i_0_1146,plain,
! [X2366,X2367,X2368] :
( ( ~ dvd_dvd_int(X2366,plus_plus_int(X2367,times_times_int(X2366,X2368)))
| dvd_dvd_int(X2366,X2367) )
& ( ~ dvd_dvd_int(X2366,X2367)
| dvd_dvd_int(X2366,plus_plus_int(X2367,times_times_int(X2366,X2368))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_370_zdvd__reduce])]) ).
fof(i_0_1147,plain,
! [X2435,X2436] :
( ~ ord_less_nat(zero_zero_nat,X2436)
| ~ ord_less_nat(X2436,one_one_nat)
| ord_less_nat(times_times_nat(X2436,power_power_nat(X2436,X2435)),power_power_nat(X2436,X2435)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_405_power__Suc__less])]) ).
fof(i_0_1148,plain,
! [X2433,X2434] :
( ~ ord_less_real(zero_zero_real,X2434)
| ~ ord_less_real(X2434,one_one_real)
| ord_less_real(times_times_real(X2434,power_power_real(X2434,X2433)),power_power_real(X2434,X2433)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_404_power__Suc__less])]) ).
fof(i_0_1149,plain,
! [X2437,X2438] :
( ~ ord_less_int(zero_zero_int,X2438)
| ~ ord_less_int(X2438,one_one_int)
| ord_less_int(times_times_int(X2438,power_power_int(X2438,X2437)),power_power_int(X2438,X2437)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_406_power__Suc__less])]) ).
fof(i_0_1150,plain,
! [X1825,X1826,X1827,X1828] : times_times_nat(times_times_nat(X1825,X1826),times_times_nat(X1827,X1828)) = times_times_nat(X1827,times_times_nat(times_times_nat(X1825,X1826),X1828)),
inference(variable_rename,[status(thm)],[fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J]) ).
fof(i_0_1151,plain,
! [X1821,X1822,X1823,X1824] : times_times_real(times_times_real(X1821,X1822),times_times_real(X1823,X1824)) = times_times_real(X1823,times_times_real(times_times_real(X1821,X1822),X1824)),
inference(variable_rename,[status(thm)],[fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J]) ).
fof(i_0_1152,plain,
! [X1829,X1830,X1831,X1832] : times_times_int(times_times_int(X1829,X1830),times_times_int(X1831,X1832)) = times_times_int(X1831,times_times_int(times_times_int(X1829,X1830),X1832)),
inference(variable_rename,[status(thm)],[fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J]) ).
fof(i_0_1153,plain,
! [X1837,X1838,X1839,X1840] : times_times_nat(times_times_nat(X1837,X1838),times_times_nat(X1839,X1840)) = times_times_nat(X1837,times_times_nat(X1838,times_times_nat(X1839,X1840))),
inference(variable_rename,[status(thm)],[fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J]) ).
fof(i_0_1154,plain,
! [X1833,X1834,X1835,X1836] : times_times_real(times_times_real(X1833,X1834),times_times_real(X1835,X1836)) = times_times_real(X1833,times_times_real(X1834,times_times_real(X1835,X1836))),
inference(variable_rename,[status(thm)],[fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J]) ).
fof(i_0_1155,plain,
! [X1841,X1842,X1843,X1844] : times_times_int(times_times_int(X1841,X1842),times_times_int(X1843,X1844)) = times_times_int(X1841,times_times_int(X1842,times_times_int(X1843,X1844))),
inference(variable_rename,[status(thm)],[fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J]) ).
fof(i_0_1156,plain,
! [X2417,X2418,X2419,X2420,X2421] :
( ~ is_int(X2417)
| ~ is_int(X2418)
| ~ is_int(X2421)
| X2421 = zero_zero_int
| X2419 != X2420
| X2417 = X2418
| plus_plus_int(X2419,times_times_int(X2421,X2417)) != plus_plus_int(X2420,times_times_int(X2421,X2418)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_387_add__scale__eq__noteq])]) ).
cnf(i_0_1157,plain,
( times_times_int(number_number_of_int(bit1(pls)),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_851]) ).
cnf(i_0_1158,plain,
( times_times_int(X1,number_number_of_int(bit1(pls))) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_852]) ).
cnf(i_0_1159,plain,
times_times_real(number267125858f_real(bit1(pls)),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_853]) ).
cnf(i_0_1160,plain,
times_times_real(X1,number267125858f_real(bit1(pls))) = X1,
inference(split_conjunct,[status(thm)],[i_0_854]) ).
cnf(i_0_1161,plain,
( ord_less_int(min,X1)
| ~ ord_less_int(min,bit1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_855]) ).
cnf(i_0_1162,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_int(pls,bit1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_856]) ).
cnf(i_0_1163,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,bit1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_857]) ).
cnf(i_0_1164,plain,
( ord_less_eq_int(min,X1)
| ~ ord_less_eq_int(min,bit1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_858]) ).
cnf(i_0_1165,plain,
( ord_less_int(X1,pls)
| ~ ord_less_int(bit1(X1),pls) ),
inference(split_conjunct,[status(thm)],[i_0_859]) ).
cnf(i_0_1166,plain,
( ord_less_int(X1,pls)
| ~ ord_less_eq_int(bit1(X1),pls) ),
inference(split_conjunct,[status(thm)],[i_0_860]) ).
cnf(i_0_1167,plain,
( ord_less_int(X1,min)
| ~ ord_less_int(bit1(X1),min) ),
inference(split_conjunct,[status(thm)],[i_0_861]) ).
fof(i_0_1168,plain,
! [X2475] :
( ( ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X2475),X2475),zero_zero_int)
| ord_less_int(X2475,zero_zero_int) )
& ( ~ ord_less_int(X2475,zero_zero_int)
| ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X2475),X2475),zero_zero_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_426_odd__less__0])]) ).
cnf(i_0_1169,plain,
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(bit1(X1),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_862]) ).
cnf(i_0_1170,plain,
( ord_less_eq_int(X1,min)
| ~ ord_less_eq_int(bit1(X1),min) ),
inference(split_conjunct,[status(thm)],[i_0_863]) ).
cnf(i_0_1171,plain,
minus_minus_int(min,bit1(X1)) = bit0(minus_minus_int(min,X1)),
inference(split_conjunct,[status(thm)],[i_0_864]) ).
cnf(i_0_1172,plain,
minus_minus_int(min,bit0(X1)) = bit1(minus_minus_int(min,X1)),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
fof(i_0_1173,plain,
! [X2693,X2694,X2695] :
( ( ~ ord_less_int(X2695,pls)
| times_times_nat(number_number_of_nat(X2695),times_times_nat(number_number_of_nat(X2693),X2694)) = zero_zero_nat )
& ( ord_less_int(X2695,pls)
| times_times_nat(number_number_of_nat(X2695),times_times_nat(number_number_of_nat(X2693),X2694)) = times_times_nat(number_number_of_nat(times_times_int(X2695,X2693)),X2694) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_866])]) ).
fof(i_0_1174,plain,
! [X2447,X2448] : ord_less_eq_real(zero_zero_real,plus_plus_real(times_times_real(X2447,X2447),times_times_real(X2448,X2448))),
inference(variable_rename,[status(thm)],[fact_409_sum__squares__ge__zero]) ).
fof(i_0_1175,plain,
! [X2449,X2450] : ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X2449,X2449),times_times_int(X2450,X2450))),
inference(variable_rename,[status(thm)],[fact_410_sum__squares__ge__zero]) ).
fof(i_0_1176,plain,
! [X2684,X2685,X2686] :
( ( ~ zcong(X2684,X2685,X2686)
| zcong(X2685,X2684,X2686) )
& ( ~ zcong(X2685,X2684,X2686)
| zcong(X2684,X2685,X2686) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_557_zcong__sym])]) ).
cnf(i_0_1177,plain,
( ord_less_real(number267125858f_real(X1),one_one_real)
| ~ ord_less_int(X1,bit1(pls)) ),
inference(split_conjunct,[status(thm)],[i_0_867]) ).
cnf(i_0_1178,plain,
( ord_less_eq_real(number267125858f_real(X1),one_one_real)
| ~ ord_less_eq_int(X1,bit1(pls)) ),
inference(split_conjunct,[status(thm)],[i_0_868]) ).
cnf(i_0_1179,plain,
( ord_less_int(number_number_of_int(X1),one_one_int)
| ~ ord_less_int(X1,bit1(pls)) ),
inference(split_conjunct,[status(thm)],[i_0_869]) ).
cnf(i_0_1180,plain,
( ord_less_eq_int(number_number_of_int(X1),one_one_int)
| ~ ord_less_eq_int(X1,bit1(pls)) ),
inference(split_conjunct,[status(thm)],[i_0_870]) ).
cnf(i_0_1181,plain,
( ord_less_real(one_one_real,number267125858f_real(X1))
| ~ ord_less_int(bit1(pls),X1) ),
inference(split_conjunct,[status(thm)],[i_0_871]) ).
cnf(i_0_1182,plain,
( ord_less_eq_real(one_one_real,number267125858f_real(X1))
| ~ ord_less_eq_int(bit1(pls),X1) ),
inference(split_conjunct,[status(thm)],[i_0_872]) ).
cnf(i_0_1183,plain,
( ord_less_int(one_one_int,number_number_of_int(X1))
| ~ ord_less_int(bit1(pls),X1) ),
inference(split_conjunct,[status(thm)],[i_0_873]) ).
cnf(i_0_1184,plain,
( ord_less_eq_int(one_one_int,number_number_of_int(X1))
| ~ ord_less_eq_int(bit1(pls),X1) ),
inference(split_conjunct,[status(thm)],[i_0_874]) ).
fof(i_0_1185,plain,
! [X2377,X2378,X2379] :
( ~ ord_less_nat(power_power_nat(X2377,X2378),power_power_nat(X2379,X2378))
| ~ ord_less_eq_nat(zero_zero_nat,X2379)
| ord_less_nat(X2377,X2379) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_373_power__less__imp__less__base])]) ).
fof(i_0_1186,plain,
! [X2640,X2641,X2642] :
( ~ ord_less_nat(zero_zero_nat,X2642)
| ~ ord_less_nat(power_power_nat(X2642,X2640),power_power_nat(X2642,X2641))
| ord_less_nat(X2640,X2641) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_512_nat__power__less__imp__less])]) ).
fof(i_0_1187,plain,
! [X2607,X2608,X2609] :
( ~ ord_less_nat(one_one_nat,X2609)
| ~ ord_less_nat(power_power_nat(X2609,X2607),power_power_nat(X2609,X2608))
| ord_less_nat(X2607,X2608) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_496_power__less__imp__less__exp])]) ).
fof(i_0_1188,plain,
! [X2598,X2599,X2600] :
( ( ~ ord_less_nat(power_power_nat(X2600,X2598),power_power_nat(X2600,X2599))
| ord_less_nat(X2598,X2599)
| ~ ord_less_nat(one_one_nat,X2600) )
& ( ~ ord_less_nat(X2598,X2599)
| ord_less_nat(power_power_nat(X2600,X2598),power_power_nat(X2600,X2599))
| ~ ord_less_nat(one_one_nat,X2600) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_493_power__strict__increasing__iff])])]) ).
fof(i_0_1189,plain,
! [X2604,X2605,X2606] :
( ~ ord_less_real(one_one_real,X2606)
| ~ ord_less_real(power_power_real(X2606,X2604),power_power_real(X2606,X2605))
| ord_less_nat(X2604,X2605) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_495_power__less__imp__less__exp])]) ).
fof(i_0_1190,plain,
! [X2595,X2596,X2597] :
( ( ~ ord_less_real(power_power_real(X2597,X2595),power_power_real(X2597,X2596))
| ord_less_nat(X2595,X2596)
| ~ ord_less_real(one_one_real,X2597) )
& ( ~ ord_less_nat(X2595,X2596)
| ord_less_real(power_power_real(X2597,X2595),power_power_real(X2597,X2596))
| ~ ord_less_real(one_one_real,X2597) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_492_power__strict__increasing__iff])])]) ).
fof(i_0_1191,plain,
! [X2610,X2611,X2612] :
( ~ ord_less_int(one_one_int,X2612)
| ~ ord_less_int(power_power_int(X2612,X2610),power_power_int(X2612,X2611))
| ord_less_nat(X2610,X2611) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_497_power__less__imp__less__exp])]) ).
fof(i_0_1192,plain,
! [X2601,X2602,X2603] :
( ( ~ ord_less_int(power_power_int(X2603,X2601),power_power_int(X2603,X2602))
| ord_less_nat(X2601,X2602)
| ~ ord_less_int(one_one_int,X2603) )
& ( ~ ord_less_nat(X2601,X2602)
| ord_less_int(power_power_int(X2603,X2601),power_power_int(X2603,X2602))
| ~ ord_less_int(one_one_int,X2603) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_494_power__strict__increasing__iff])])]) ).
fof(i_0_1193,plain,
! [X2654,X2655,X2656] :
( ~ dvd_dvd_nat(power_power_nat(X2654,X2655),power_power_nat(X2654,X2656))
| ~ ord_less_nat(one_one_nat,X2654)
| ord_less_eq_nat(X2655,X2656) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_535_power__dvd__imp__le])]) ).
fof(i_0_1194,plain,
! [X2228,X2229,X2230] :
( ( ~ ord_less_eq_nat(power_power_nat(X2230,X2228),power_power_nat(X2230,X2229))
| ord_less_eq_nat(X2228,X2229)
| ~ ord_less_nat(one_one_nat,X2230) )
& ( ~ ord_less_eq_nat(X2228,X2229)
| ord_less_eq_nat(power_power_nat(X2230,X2228),power_power_nat(X2230,X2229))
| ~ ord_less_nat(one_one_nat,X2230) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_302_power__increasing__iff])])]) ).
fof(i_0_1195,plain,
! [X2219,X2220,X2221] :
( ~ ord_less_nat(one_one_nat,X2221)
| ~ ord_less_eq_nat(power_power_nat(X2221,X2219),power_power_nat(X2221,X2220))
| ord_less_eq_nat(X2219,X2220) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_299_power__le__imp__le__exp])]) ).
fof(i_0_1196,plain,
! [X2225,X2226,X2227] :
( ( ~ ord_less_eq_real(power_power_real(X2227,X2225),power_power_real(X2227,X2226))
| ord_less_eq_nat(X2225,X2226)
| ~ ord_less_real(one_one_real,X2227) )
& ( ~ ord_less_eq_nat(X2225,X2226)
| ord_less_eq_real(power_power_real(X2227,X2225),power_power_real(X2227,X2226))
| ~ ord_less_real(one_one_real,X2227) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_301_power__increasing__iff])])]) ).
fof(i_0_1197,plain,
! [X2216,X2217,X2218] :
( ~ ord_less_real(one_one_real,X2218)
| ~ ord_less_eq_real(power_power_real(X2218,X2216),power_power_real(X2218,X2217))
| ord_less_eq_nat(X2216,X2217) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_298_power__le__imp__le__exp])]) ).
fof(i_0_1198,plain,
! [X2231,X2232,X2233] :
( ( ~ ord_less_eq_int(power_power_int(X2233,X2231),power_power_int(X2233,X2232))
| ord_less_eq_nat(X2231,X2232)
| ~ ord_less_int(one_one_int,X2233) )
& ( ~ ord_less_eq_nat(X2231,X2232)
| ord_less_eq_int(power_power_int(X2233,X2231),power_power_int(X2233,X2232))
| ~ ord_less_int(one_one_int,X2233) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_303_power__increasing__iff])])]) ).
fof(i_0_1199,plain,
! [X2222,X2223,X2224] :
( ~ ord_less_int(one_one_int,X2224)
| ~ ord_less_eq_int(power_power_int(X2224,X2222),power_power_int(X2224,X2223))
| ord_less_eq_nat(X2222,X2223) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_300_power__le__imp__le__exp])]) ).
fof(i_0_1200,plain,
! [X2976,X2977,X2978] :
( ( ~ ord_less_real(times_times_real(X2976,X2978),times_times_real(X2977,X2978))
| ord_less_real(X2976,X2977)
| ~ ord_less_real(zero_zero_real,X2978) )
& ( ~ ord_less_real(X2976,X2977)
| ord_less_real(times_times_real(X2976,X2978),times_times_real(X2977,X2978))
| ~ ord_less_real(zero_zero_real,X2978) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_676_real__mult__less__iff1])])]) ).
fof(i_0_1201,plain,
! [X2374,X2375,X2376] :
( ~ ord_less_real(power_power_real(X2374,X2375),power_power_real(X2376,X2375))
| ~ ord_less_eq_real(zero_zero_real,X2376)
| ord_less_real(X2374,X2376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_372_power__less__imp__less__base])]) ).
fof(i_0_1202,plain,
! [X2973,X2974,X2975] :
( ( ~ ord_less_eq_real(times_times_real(X2973,X2975),times_times_real(X2974,X2975))
| ord_less_eq_real(X2973,X2974)
| ~ ord_less_real(zero_zero_real,X2975) )
& ( ~ ord_less_eq_real(X2973,X2974)
| ord_less_eq_real(times_times_real(X2973,X2975),times_times_real(X2974,X2975))
| ~ ord_less_real(zero_zero_real,X2975) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_675_real__mult__le__cancel__iff1])])]) ).
fof(i_0_1203,plain,
! [X2970,X2971,X2972] :
( ( ~ ord_less_eq_real(times_times_real(X2972,X2970),times_times_real(X2972,X2971))
| ord_less_eq_real(X2970,X2971)
| ~ ord_less_real(zero_zero_real,X2972) )
& ( ~ ord_less_eq_real(X2970,X2971)
| ord_less_eq_real(times_times_real(X2972,X2970),times_times_real(X2972,X2971))
| ~ ord_less_real(zero_zero_real,X2972) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_674_real__mult__le__cancel__iff2])])]) ).
fof(i_0_1204,plain,
! [X2380,X2381,X2382] :
( ~ ord_less_int(power_power_int(X2380,X2381),power_power_int(X2382,X2381))
| ~ ord_less_eq_int(zero_zero_int,X2382)
| ord_less_int(X2380,X2382) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_374_power__less__imp__less__base])]) ).
fof(i_0_1205,plain,
! [X2206,X2207] :
( ~ ord_less_nat(one_one_nat,X2207)
| ord_less_nat(power_power_nat(X2207,X2206),times_times_nat(X2207,power_power_nat(X2207,X2206))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_293_power__less__power__Suc])]) ).
fof(i_0_1206,plain,
! [X2204,X2205] :
( ~ ord_less_real(one_one_real,X2205)
| ord_less_real(power_power_real(X2205,X2204),times_times_real(X2205,power_power_real(X2205,X2204))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_292_power__less__power__Suc])]) ).
fof(i_0_1207,plain,
! [X2208,X2209] :
( ~ ord_less_int(one_one_int,X2209)
| ord_less_int(power_power_int(X2209,X2208),times_times_int(X2209,power_power_int(X2209,X2208))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_294_power__less__power__Suc])]) ).
fof(i_0_1208,plain,
! [X2109,X2110,X2111] : times_times_nat(plus_plus_nat(X2109,X2110),number_number_of_nat(X2111)) = plus_plus_nat(times_times_nat(X2109,number_number_of_nat(X2111)),times_times_nat(X2110,number_number_of_nat(X2111))),
inference(variable_rename,[status(thm)],[fact_219_left__distrib__number__of]) ).
fof(i_0_1209,plain,
! [X2106,X2107,X2108] : times_times_real(plus_plus_real(X2106,X2107),number267125858f_real(X2108)) = plus_plus_real(times_times_real(X2106,number267125858f_real(X2108)),times_times_real(X2107,number267125858f_real(X2108))),
inference(variable_rename,[status(thm)],[fact_218_left__distrib__number__of]) ).
fof(i_0_1210,plain,
! [X2112,X2113,X2114] : times_times_int(plus_plus_int(X2112,X2113),number_number_of_int(X2114)) = plus_plus_int(times_times_int(X2112,number_number_of_int(X2114)),times_times_int(X2113,number_number_of_int(X2114))),
inference(variable_rename,[status(thm)],[fact_220_left__distrib__number__of]) ).
fof(i_0_1211,plain,
! [X2118,X2119,X2120] : times_times_nat(number_number_of_nat(X2118),plus_plus_nat(X2119,X2120)) = plus_plus_nat(times_times_nat(number_number_of_nat(X2118),X2119),times_times_nat(number_number_of_nat(X2118),X2120)),
inference(variable_rename,[status(thm)],[fact_222_right__distrib__number__of]) ).
fof(i_0_1212,plain,
! [X2115,X2116,X2117] : times_times_real(number267125858f_real(X2115),plus_plus_real(X2116,X2117)) = plus_plus_real(times_times_real(number267125858f_real(X2115),X2116),times_times_real(number267125858f_real(X2115),X2117)),
inference(variable_rename,[status(thm)],[fact_221_right__distrib__number__of]) ).
fof(i_0_1213,plain,
! [X2121,X2122,X2123] : times_times_int(number_number_of_int(X2121),plus_plus_int(X2122,X2123)) = plus_plus_int(times_times_int(number_number_of_int(X2121),X2122),times_times_int(number_number_of_int(X2121),X2123)),
inference(variable_rename,[status(thm)],[fact_223_right__distrib__number__of]) ).
fof(i_0_1214,plain,
! [X2909,X2910] :
( ~ is_int(X2910)
| ~ ord_less_eq_int(zero_zero_int,X2910)
| ~ ord_less_int(X2910,X2909)
| ~ zcong(X2910,zero_zero_int,X2909)
| X2910 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_651_Int2_Ozcong__zero])]) ).
fof(i_0_1215,plain,
! [X2755,X2756] :
( ~ is_int(X2756)
| ~ ord_less_eq_int(zero_zero_int,X2756)
| ~ ord_less_int(X2756,X2755)
| ~ zcong(X2756,zero_zero_int,X2755)
| X2756 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_585_zcong__zless__0])]) ).
cnf(i_0_1216,plain,
( ord_less_int(bit1(X1),bit0(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_835]) ).
cnf(i_0_1217,plain,
( ord_less_int(bit1(X1),bit0(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_836]) ).
cnf(i_0_1218,plain,
( ord_less_eq_int(bit1(X1),bit0(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_837]) ).
cnf(i_0_1219,plain,
( ord_less_eq_int(bit1(X1),bit0(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_838]) ).
cnf(i_0_1220,plain,
( ord_less_int(bit0(X1),bit1(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_839]) ).
cnf(i_0_1221,plain,
( ord_less_int(bit0(X1),bit1(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_840]) ).
cnf(i_0_1222,plain,
( ord_less_eq_int(bit0(X1),bit1(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_841]) ).
cnf(i_0_1223,plain,
( ord_less_eq_int(bit0(X1),bit1(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_842]) ).
fof(i_0_1224,plain,
! [X2412,X2413,X2414,X2415,X2416] :
( X2416 = zero_zero_nat
| X2414 != X2415
| X2412 = X2413
| plus_plus_nat(X2414,times_times_nat(X2416,X2412)) != plus_plus_nat(X2415,times_times_nat(X2416,X2413)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_386_add__scale__eq__noteq])]) ).
fof(i_0_1225,plain,
! [X2407,X2408,X2409,X2410,X2411] :
( X2411 = zero_zero_real
| X2409 != X2410
| X2407 = X2408
| plus_plus_real(X2409,times_times_real(X2411,X2407)) != plus_plus_real(X2410,times_times_real(X2411,X2408)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_385_add__scale__eq__noteq])]) ).
cnf(i_0_1226,plain,
( X1 = X2
| bit1(X1) != bit1(X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_875]) ).
fof(i_0_1227,plain,
! [X1813,X1814,X1815,X1816] : times_times_nat(times_times_nat(X1813,X1814),times_times_nat(X1815,X1816)) = times_times_nat(times_times_nat(X1813,X1815),times_times_nat(X1814,X1816)),
inference(variable_rename,[status(thm)],[fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J]) ).
fof(i_0_1228,plain,
! [X1891,X1892,X1893,X1894] : plus_plus_nat(plus_plus_nat(X1891,X1892),plus_plus_nat(X1893,X1894)) = plus_plus_nat(plus_plus_nat(X1891,X1893),plus_plus_nat(X1892,X1894)),
inference(variable_rename,[status(thm)],[fact_116_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J]) ).
fof(i_0_1229,plain,
! [X1809,X1810,X1811,X1812] : times_times_real(times_times_real(X1809,X1810),times_times_real(X1811,X1812)) = times_times_real(times_times_real(X1809,X1811),times_times_real(X1810,X1812)),
inference(variable_rename,[status(thm)],[fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J]) ).
fof(i_0_1230,plain,
! [X1887,X1888,X1889,X1890] : plus_plus_real(plus_plus_real(X1887,X1888),plus_plus_real(X1889,X1890)) = plus_plus_real(plus_plus_real(X1887,X1889),plus_plus_real(X1888,X1890)),
inference(variable_rename,[status(thm)],[fact_115_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J]) ).
fof(i_0_1231,plain,
! [X1817,X1818,X1819,X1820] : times_times_int(times_times_int(X1817,X1818),times_times_int(X1819,X1820)) = times_times_int(times_times_int(X1817,X1819),times_times_int(X1818,X1820)),
inference(variable_rename,[status(thm)],[fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J]) ).
cnf(i_0_1232,plain,
plus_plus_int(bit0(X1),bit0(X2)) = bit0(plus_plus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_876]) ).
fof(i_0_1233,plain,
! [X1895,X1896,X1897,X1898] : plus_plus_int(plus_plus_int(X1895,X1896),plus_plus_int(X1897,X1898)) = plus_plus_int(plus_plus_int(X1895,X1897),plus_plus_int(X1896,X1898)),
inference(variable_rename,[status(thm)],[fact_117_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J]) ).
cnf(i_0_1234,plain,
minus_minus_int(bit0(X1),bit0(X2)) = bit0(minus_minus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_877]) ).
cnf(i_0_1235,plain,
number267125858f_real(bit1(X1)) = plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(X1)),number267125858f_real(X1)),
inference(split_conjunct,[status(thm)],[i_0_878]) ).
cnf(i_0_1236,plain,
number_number_of_int(bit1(X1)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X1)),number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[i_0_879]) ).
fof(i_0_1237,plain,
! [X2917,X2918,X2919,X2920] :
( X2917 != plus_plus_nat(times_times_nat(X2918,X2919),X2920)
| ~ ord_less_nat(zero_zero_nat,X2920)
| ~ ord_less_nat(X2920,X2919)
| ~ dvd_dvd_nat(X2919,X2917) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_880])]) ).
fof(i_0_1238,plain,
! [X2143,X2144,X2145] : times_times_real(number267125858f_real(X2143),times_times_real(number267125858f_real(X2144),X2145)) = times_times_real(number267125858f_real(times_times_int(X2143,X2144)),X2145),
inference(variable_rename,[status(thm)],[fact_237_mult__number__of__left]) ).
fof(i_0_1239,plain,
! [X2157,X2158,X2159] : plus_plus_real(number267125858f_real(X2157),plus_plus_real(number267125858f_real(X2158),X2159)) = plus_plus_real(number267125858f_real(plus_plus_int(X2157,X2158)),X2159),
inference(variable_rename,[status(thm)],[fact_243_add__number__of__left]) ).
fof(i_0_1240,plain,
! [X2146,X2147,X2148] : times_times_int(number_number_of_int(X2146),times_times_int(number_number_of_int(X2147),X2148)) = times_times_int(number_number_of_int(times_times_int(X2146,X2147)),X2148),
inference(variable_rename,[status(thm)],[fact_238_mult__number__of__left]) ).
fof(i_0_1241,plain,
! [X2160,X2161,X2162] : plus_plus_int(number_number_of_int(X2160),plus_plus_int(number_number_of_int(X2161),X2162)) = plus_plus_int(number_number_of_int(plus_plus_int(X2160,X2161)),X2162),
inference(variable_rename,[status(thm)],[fact_244_add__number__of__left]) ).
fof(i_0_1242,plain,
! [X2313,X2314,X2315] :
( ~ ord_less_nat(X2314,X2315)
| ~ ord_less_eq_nat(zero_zero_nat,X2314)
| ~ ord_less_nat(zero_zero_nat,X2313)
| ord_less_nat(power_power_nat(X2314,X2313),power_power_nat(X2315,X2313)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_337_power__strict__mono])]) ).
fof(i_0_1243,plain,
! [X2310,X2311,X2312] :
( ~ ord_less_real(X2311,X2312)
| ~ ord_less_eq_real(zero_zero_real,X2311)
| ~ ord_less_nat(zero_zero_nat,X2310)
| ord_less_real(power_power_real(X2311,X2310),power_power_real(X2312,X2310)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_336_power__strict__mono])]) ).
fof(i_0_1244,plain,
! [X2316,X2317,X2318] :
( ~ ord_less_int(X2317,X2318)
| ~ ord_less_eq_int(zero_zero_int,X2317)
| ~ ord_less_nat(zero_zero_nat,X2316)
| ord_less_int(power_power_int(X2317,X2316),power_power_int(X2318,X2316)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_338_power__strict__mono])]) ).
fof(i_0_1245,plain,
! [X2395,X2396,X2397] :
( ~ ord_less_nat(X2396,X2397)
| ~ ord_less_nat(zero_zero_nat,X2395)
| ~ ord_less_nat(X2395,one_one_nat)
| ord_less_nat(power_power_nat(X2395,X2397),power_power_nat(X2395,X2396)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_379_power__strict__decreasing])]) ).
fof(i_0_1246,plain,
! [X2386,X2387,X2388] :
( ~ ord_less_eq_nat(X2387,X2388)
| ~ ord_less_eq_nat(zero_zero_nat,X2386)
| ~ ord_less_eq_nat(X2386,one_one_nat)
| ord_less_eq_nat(power_power_nat(X2386,X2388),power_power_nat(X2386,X2387)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_376_power__decreasing])]) ).
fof(i_0_1247,plain,
! [X2392,X2393,X2394] :
( ~ ord_less_nat(X2393,X2394)
| ~ ord_less_real(zero_zero_real,X2392)
| ~ ord_less_real(X2392,one_one_real)
| ord_less_real(power_power_real(X2392,X2394),power_power_real(X2392,X2393)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_378_power__strict__decreasing])]) ).
fof(i_0_1248,plain,
! [X2383,X2384,X2385] :
( ~ ord_less_eq_nat(X2384,X2385)
| ~ ord_less_eq_real(zero_zero_real,X2383)
| ~ ord_less_eq_real(X2383,one_one_real)
| ord_less_eq_real(power_power_real(X2383,X2385),power_power_real(X2383,X2384)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_375_power__decreasing])]) ).
fof(i_0_1249,plain,
! [X2398,X2399,X2400] :
( ~ ord_less_nat(X2399,X2400)
| ~ ord_less_int(zero_zero_int,X2398)
| ~ ord_less_int(X2398,one_one_int)
| ord_less_int(power_power_int(X2398,X2400),power_power_int(X2398,X2399)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_380_power__strict__decreasing])]) ).
fof(i_0_1250,plain,
! [X2389,X2390,X2391] :
( ~ ord_less_eq_nat(X2390,X2391)
| ~ ord_less_eq_int(zero_zero_int,X2389)
| ~ ord_less_eq_int(X2389,one_one_int)
| ord_less_eq_int(power_power_int(X2389,X2391),power_power_int(X2389,X2390)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_377_power__decreasing])]) ).
fof(i_0_1251,plain,
! [X2289,X2290,X2291] :
( ~ is_int(X2289)
| ~ dvd_dvd_int(times_times_int(X2289,X2290),times_times_int(X2289,X2291))
| X2289 = zero_zero_int
| dvd_dvd_int(X2290,X2291) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_326_zdvd__mult__cancel])]) ).
fof(i_0_1252,plain,
! [X2887,X2888] :
( ~ ord_less_int(zero_zero_int,X2888)
| ~ ord_less_int(X2888,X2887)
| ~ zcong(X2888,zero_zero_int,X2887) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_881])]) ).
fof(i_0_1253,plain,
! [X2272,X2273,X2274,X2275] :
( ~ dvd_dvd_real(power_power_real(X2273,X2274),X2275)
| ~ ord_less_eq_nat(X2272,X2274)
| dvd_dvd_real(power_power_real(X2273,X2272),X2275) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_320_power__le__dvd])]) ).
fof(i_0_1254,plain,
! [X2264,X2265,X2266,X2267] :
( ~ dvd_dvd_nat(power_power_nat(X2265,X2266),X2267)
| ~ ord_less_eq_nat(X2264,X2266)
| dvd_dvd_nat(power_power_nat(X2265,X2264),X2267) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_318_power__le__dvd])]) ).
fof(i_0_1255,plain,
! [X2268,X2269,X2270,X2271] :
( ~ dvd_dvd_int(power_power_int(X2269,X2270),X2271)
| ~ ord_less_eq_nat(X2268,X2270)
| dvd_dvd_int(power_power_int(X2269,X2268),X2271) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_319_power__le__dvd])]) ).
fof(i_0_1256,plain,
! [X2796,X2797,X2798] :
( ( ~ zcong(X2796,X2797,X2798)
| dvd_dvd_int(X2798,minus_minus_int(X2796,X2797)) )
& ( ~ dvd_dvd_int(X2798,minus_minus_int(X2796,X2797))
| zcong(X2796,X2797,X2798) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_604_zcong__def])]) ).
fof(i_0_1257,plain,
! [X2282,X2283,X2284] :
( ~ is_int(X2282)
| ~ is_int(X2284)
| power_power_int(X2282,X2283) != power_power_int(X2284,X2283)
| ~ ord_less_eq_int(zero_zero_int,X2282)
| ~ ord_less_eq_int(zero_zero_int,X2284)
| ~ ord_less_nat(zero_zero_nat,X2283)
| X2282 = X2284 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_323_power__eq__imp__eq__base])]) ).
fof(i_0_1258,plain,
! [X2938,X2939,X2940] :
( ~ ord_less_int(zero_zero_int,X2940)
| X2940 != plus_plus_int(X2938,times_times_int(X2940,X2939))
| ~ ord_less_int(X2938,X2940)
| ord_less_eq_int(one_one_int,X2939) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_660_self__quotient__aux1])]) ).
fof(i_0_1259,plain,
! [X2884,X2885,X2886] :
( ( ~ dvd_dvd_nat(times_times_nat(X2884,X2885),times_times_nat(X2886,X2885))
| X2885 = zero_zero_nat
| dvd_dvd_nat(X2884,X2886) )
& ( X2885 != zero_zero_nat
| dvd_dvd_nat(times_times_nat(X2884,X2885),times_times_nat(X2886,X2885)) )
& ( ~ dvd_dvd_nat(X2884,X2886)
| dvd_dvd_nat(times_times_nat(X2884,X2885),times_times_nat(X2886,X2885)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_641_nat__mult__dvd__cancel__disj_H])])]) ).
fof(i_0_1260,plain,
! [X2897,X2898,X2899] :
( ~ dvd_dvd_nat(power_power_nat(X2897,X2898),power_power_nat(X2899,X2898))
| X2898 = zero_zero_nat
| dvd_dvd_nat(X2897,X2899) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_646_divides__rev])]) ).
fof(i_0_1261,plain,
! [X2405,X2406] :
( ( X2405 = zero_zero_int
| plus_plus_int(times_times_int(X2405,X2405),times_times_int(X2406,X2406)) != zero_zero_int
| ~ is_int(X2405)
| ~ is_int(X2406) )
& ( X2406 = zero_zero_int
| plus_plus_int(times_times_int(X2405,X2405),times_times_int(X2406,X2406)) != zero_zero_int
| ~ is_int(X2405)
| ~ is_int(X2406) )
& ( X2405 != zero_zero_int
| X2406 != zero_zero_int
| plus_plus_int(times_times_int(X2405,X2405),times_times_int(X2406,X2406)) = zero_zero_int
| ~ is_int(X2405)
| ~ is_int(X2406) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_384_sum__squares__eq__zero__iff])])]) ).
fof(i_0_1262,plain,
! [X2757,X2758,X2759] :
( ~ ord_less_eq_int(zero_zero_int,X2759)
| ~ zprime(X2758)
| ~ dvd_dvd_int(X2758,times_times_int(X2759,X2757))
| dvd_dvd_int(X2758,X2759)
| dvd_dvd_int(X2758,X2757) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_586_zprime__zdvd__zmult])]) ).
cnf(i_0_1263,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(bit0(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_882]) ).
cnf(i_0_1264,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(bit0(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_883]) ).
cnf(i_0_1265,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(bit0(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_884]) ).
cnf(i_0_1266,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(bit0(X1),bit0(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_885]) ).
fof(i_0_1267,plain,
! [X3010,X3011,X3012] :
( ~ ord_less_int(zero_zero_int,X3012)
| X3012 != plus_plus_int(X3010,times_times_int(X3012,X3011))
| ~ ord_less_eq_int(zero_zero_int,X3010)
| ord_less_eq_int(X3011,one_one_int) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_685_self__quotient__aux2])]) ).
fof(i_0_1268,plain,
! [X2260,X2261,X2262,X2263] :
( ~ dvd_dvd_real(X2262,X2263)
| ~ ord_less_eq_nat(X2260,X2261)
| dvd_dvd_real(power_power_real(X2262,X2260),power_power_real(X2263,X2261)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_317_dvd__power__le])]) ).
fof(i_0_1269,plain,
! [X2252,X2253,X2254,X2255] :
( ~ dvd_dvd_nat(X2254,X2255)
| ~ ord_less_eq_nat(X2252,X2253)
| dvd_dvd_nat(power_power_nat(X2254,X2252),power_power_nat(X2255,X2253)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_315_dvd__power__le])]) ).
fof(i_0_1270,plain,
! [X2256,X2257,X2258,X2259] :
( ~ dvd_dvd_int(X2258,X2259)
| ~ ord_less_eq_nat(X2256,X2257)
| dvd_dvd_int(power_power_int(X2258,X2256),power_power_int(X2259,X2257)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_316_dvd__power__le])]) ).
fof(i_0_1271,plain,
! [X1745,X1746,X1747,X1748] :
( ~ ord_less_int(X1747,X1748)
| ~ ord_less_eq_int(X1745,X1746)
| ord_less_int(plus_plus_int(X1747,X1745),plus_plus_int(X1748,X1746)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_55_zadd__zless__mono])]) ).
fof(i_0_1272,plain,
! [X2212,X2213] :
( ~ ord_less_nat(one_one_nat,X2213)
| ord_less_nat(one_one_nat,times_times_nat(X2213,power_power_nat(X2213,X2212))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_296_power__gt1__lemma])]) ).
fof(i_0_1273,plain,
! [X2210,X2211] :
( ~ ord_less_real(one_one_real,X2211)
| ord_less_real(one_one_real,times_times_real(X2211,power_power_real(X2211,X2210))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_295_power__gt1__lemma])]) ).
fof(i_0_1274,plain,
! [X2214,X2215] :
( ~ ord_less_int(one_one_int,X2215)
| ord_less_int(one_one_int,times_times_int(X2215,power_power_int(X2215,X2214))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_power__gt1__lemma])]) ).
fof(i_0_1275,plain,
! [X2616,X2617,X2618] :
( ~ ord_less_nat(X2617,X2618)
| ~ ord_less_nat(one_one_nat,X2616)
| ord_less_nat(power_power_nat(X2616,X2617),power_power_nat(X2616,X2618)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_499_power__strict__increasing])]) ).
fof(i_0_1276,plain,
! [X2350,X2351,X2352] :
( ~ ord_less_eq_nat(X2351,X2352)
| ~ ord_less_eq_nat(zero_zero_nat,X2351)
| ord_less_eq_nat(power_power_nat(X2351,X2350),power_power_nat(X2352,X2350)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_364_power__mono])]) ).
fof(i_0_1277,plain,
! [X2580,X2581,X2582] :
( ~ ord_less_eq_nat(X2581,X2582)
| ~ ord_less_eq_nat(one_one_nat,X2580)
| ord_less_eq_nat(power_power_nat(X2580,X2581),power_power_nat(X2580,X2582)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_487_power__increasing])]) ).
fof(i_0_1278,plain,
! [X2965,X2966,X2967] :
( ~ ord_less_real(zero_zero_real,X2967)
| ~ ord_less_real(X2965,X2966)
| ord_less_real(times_times_real(X2967,X2965),times_times_real(X2967,X2966)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_672_real__mult__less__mono2])]) ).
fof(i_0_1279,plain,
! [X2613,X2614,X2615] :
( ~ ord_less_nat(X2614,X2615)
| ~ ord_less_real(one_one_real,X2613)
| ord_less_real(power_power_real(X2613,X2614),power_power_real(X2613,X2615)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_498_power__strict__increasing])]) ).
fof(i_0_1280,plain,
! [X2347,X2348,X2349] :
( ~ ord_less_eq_real(X2348,X2349)
| ~ ord_less_eq_real(zero_zero_real,X2348)
| ord_less_eq_real(power_power_real(X2348,X2347),power_power_real(X2349,X2347)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_363_power__mono])]) ).
fof(i_0_1281,plain,
! [X2577,X2578,X2579] :
( ~ ord_less_eq_nat(X2578,X2579)
| ~ ord_less_eq_real(one_one_real,X2577)
| ord_less_eq_real(power_power_real(X2577,X2578),power_power_real(X2577,X2579)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_486_power__increasing])]) ).
fof(i_0_1282,plain,
! [X2619,X2620,X2621] :
( ~ ord_less_nat(X2620,X2621)
| ~ ord_less_int(one_one_int,X2619)
| ord_less_int(power_power_int(X2619,X2620),power_power_int(X2619,X2621)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_500_power__strict__increasing])]) ).
fof(i_0_1283,plain,
! [X2429,X2430,X2431] :
( ~ ord_less_int(X2430,X2431)
| ~ ord_less_int(zero_zero_int,X2429)
| ord_less_int(times_times_int(X2429,X2430),times_times_int(X2429,X2431)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_402_zmult__zless__mono2])]) ).
fof(i_0_1284,plain,
! [X2353,X2354,X2355] :
( ~ ord_less_eq_int(X2354,X2355)
| ~ ord_less_eq_int(zero_zero_int,X2354)
| ord_less_eq_int(power_power_int(X2354,X2353),power_power_int(X2355,X2353)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_365_power__mono])]) ).
fof(i_0_1285,plain,
! [X2583,X2584,X2585] :
( ~ ord_less_eq_nat(X2584,X2585)
| ~ ord_less_eq_int(one_one_int,X2583)
| ord_less_eq_int(power_power_int(X2583,X2584),power_power_int(X2583,X2585)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_power__increasing])]) ).
fof(i_0_1286,plain,
! [X2279,X2280,X2281] :
( power_power_nat(X2279,X2280) != power_power_nat(X2281,X2280)
| ~ ord_less_eq_nat(zero_zero_nat,X2279)
| ~ ord_less_eq_nat(zero_zero_nat,X2281)
| ~ ord_less_nat(zero_zero_nat,X2280)
| X2279 = X2281 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_322_power__eq__imp__eq__base])]) ).
fof(i_0_1287,plain,
! [X2276,X2277,X2278] :
( power_power_real(X2276,X2277) != power_power_real(X2278,X2277)
| ~ ord_less_eq_real(zero_zero_real,X2276)
| ~ ord_less_eq_real(zero_zero_real,X2278)
| ~ ord_less_nat(zero_zero_nat,X2277)
| X2276 = X2278 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_321_power__eq__imp__eq__base])]) ).
cnf(i_0_1288,plain,
( ord_less_int(bit1(pls),X1)
| ~ ord_less_real(one_one_real,number267125858f_real(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_871]) ).
cnf(i_0_1289,plain,
( ord_less_int(bit1(pls),X1)
| ~ ord_less_int(one_one_int,number_number_of_int(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_873]) ).
cnf(i_0_1290,plain,
( ord_less_eq_int(bit1(pls),X1)
| ~ ord_less_eq_real(one_one_real,number267125858f_real(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_872]) ).
cnf(i_0_1291,plain,
( ord_less_eq_int(bit1(pls),X1)
| ~ ord_less_eq_int(one_one_int,number_number_of_int(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_874]) ).
cnf(i_0_1292,plain,
( ord_less_int(X1,bit1(pls))
| ~ ord_less_real(number267125858f_real(X1),one_one_real) ),
inference(split_conjunct,[status(thm)],[i_0_867]) ).
cnf(i_0_1293,plain,
( ord_less_int(X1,bit1(pls))
| ~ ord_less_int(number_number_of_int(X1),one_one_int) ),
inference(split_conjunct,[status(thm)],[i_0_869]) ).
cnf(i_0_1294,plain,
( ord_less_eq_int(X1,bit1(pls))
| ~ ord_less_eq_real(number267125858f_real(X1),one_one_real) ),
inference(split_conjunct,[status(thm)],[i_0_868]) ).
cnf(i_0_1295,plain,
( ord_less_eq_int(X1,bit1(pls))
| ~ ord_less_eq_int(number_number_of_int(X1),one_one_int) ),
inference(split_conjunct,[status(thm)],[i_0_870]) ).
fof(i_0_1296,plain,
! [X2724,X2725,X2726] : zcong(times_times_int(X2724,X2725),times_times_int(X2726,X2725),X2725),
inference(variable_rename,[status(thm)],[fact_572_zcong__zmult__self]) ).
fof(i_0_1297,plain,
! [X2014,X2015,X2016] : plus_plus_nat(times_times_nat(X2014,X2015),times_times_nat(X2016,X2015)) = times_times_nat(plus_plus_nat(X2014,X2016),X2015),
inference(variable_rename,[status(thm)],[fact_172_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J]) ).
fof(i_0_1298,plain,
! [X2011,X2012,X2013] : plus_plus_real(times_times_real(X2011,X2012),times_times_real(X2013,X2012)) = times_times_real(plus_plus_real(X2011,X2013),X2012),
inference(variable_rename,[status(thm)],[fact_171_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J]) ).
fof(i_0_1299,plain,
! [X2017,X2018,X2019] : plus_plus_int(times_times_int(X2017,X2018),times_times_int(X2019,X2018)) = times_times_int(plus_plus_int(X2017,X2019),X2018),
inference(variable_rename,[status(thm)],[fact_173_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J]) ).
fof(i_0_1300,plain,
! [X1749,X1750,X1751] : times_times_nat(power_power_nat(X1749,X1750),power_power_nat(X1749,X1751)) = power_power_nat(X1749,plus_plus_nat(X1750,X1751)),
inference(variable_rename,[status(thm)],[fact_56_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J]) ).
fof(i_0_1301,plain,
! [X1752,X1753,X1754] : times_times_real(power_power_real(X1752,X1753),power_power_real(X1752,X1754)) = power_power_real(X1752,plus_plus_nat(X1753,X1754)),
inference(variable_rename,[status(thm)],[fact_57_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J]) ).
fof(i_0_1302,plain,
! [X1755,X1756,X1757] : times_times_int(power_power_int(X1755,X1756),power_power_int(X1755,X1757)) = power_power_int(X1755,plus_plus_nat(X1756,X1757)),
inference(variable_rename,[status(thm)],[fact_58_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J]) ).
fof(i_0_1303,plain,
! [X2023,X2024,X2025] : times_times_nat(plus_plus_nat(X2023,X2024),X2025) = plus_plus_nat(times_times_nat(X2023,X2025),times_times_nat(X2024,X2025)),
inference(variable_rename,[status(thm)],[fact_175_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J]) ).
fof(i_0_1304,plain,
! [X2515,X2516,X2517] : power_power_nat(times_times_nat(X2515,X2516),X2517) = times_times_nat(power_power_nat(X2515,X2517),power_power_nat(X2516,X2517)),
inference(variable_rename,[status(thm)],[fact_458_power__mult__distrib]) ).
fof(i_0_1305,plain,
! [X2056,X2057,X2058] : power_power_nat(times_times_nat(X2056,X2057),X2058) = times_times_nat(power_power_nat(X2056,X2058),power_power_nat(X2057,X2058)),
inference(variable_rename,[status(thm)],[fact_189_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J]) ).
fof(i_0_1306,plain,
! [X2962,X2963,X2964] : times_times_real(plus_plus_real(X2962,X2963),X2964) = plus_plus_real(times_times_real(X2962,X2964),times_times_real(X2963,X2964)),
inference(variable_rename,[status(thm)],[fact_671_real__add__mult__distrib]) ).
fof(i_0_1307,plain,
! [X2020,X2021,X2022] : times_times_real(plus_plus_real(X2020,X2021),X2022) = plus_plus_real(times_times_real(X2020,X2022),times_times_real(X2021,X2022)),
inference(variable_rename,[status(thm)],[fact_174_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J]) ).
fof(i_0_1308,plain,
! [X2518,X2519,X2520] : power_power_real(times_times_real(X2518,X2519),X2520) = times_times_real(power_power_real(X2518,X2520),power_power_real(X2519,X2520)),
inference(variable_rename,[status(thm)],[fact_459_power__mult__distrib]) ).
fof(i_0_1309,plain,
! [X2059,X2060,X2061] : power_power_real(times_times_real(X2059,X2060),X2061) = times_times_real(power_power_real(X2059,X2061),power_power_real(X2060,X2061)),
inference(variable_rename,[status(thm)],[fact_190_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J]) ).
fof(i_0_1310,plain,
! [X2521,X2522,X2523] : power_power_int(times_times_int(X2521,X2522),X2523) = times_times_int(power_power_int(X2521,X2523),power_power_int(X2522,X2523)),
inference(variable_rename,[status(thm)],[fact_460_power__mult__distrib]) ).
fof(i_0_1311,plain,
! [X2062,X2063,X2064] : power_power_int(times_times_int(X2062,X2063),X2064) = times_times_int(power_power_int(X2062,X2064),power_power_int(X2063,X2064)),
inference(variable_rename,[status(thm)],[fact_191_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J]) ).
cnf(i_0_1312,plain,
times_times_int(bit0(X1),X2) = bit0(times_times_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_886]) ).
fof(i_0_1313,plain,
! [X2085,X2086,X2087] : times_times_int(plus_plus_int(X2085,X2086),X2087) = plus_plus_int(times_times_int(X2085,X2087),times_times_int(X2086,X2087)),
inference(variable_rename,[status(thm)],[fact_208_zadd__zmult__distrib]) ).
fof(i_0_1314,plain,
! [X2026,X2027,X2028] : times_times_int(plus_plus_int(X2026,X2027),X2028) = plus_plus_int(times_times_int(X2026,X2028),times_times_int(X2027,X2028)),
inference(variable_rename,[status(thm)],[fact_176_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J]) ).
fof(i_0_1315,plain,
! [X2771,X2772,X2773] : times_times_int(minus_minus_int(X2771,X2772),X2773) = minus_minus_int(times_times_int(X2771,X2773),times_times_int(X2772,X2773)),
inference(variable_rename,[status(thm)],[fact_595_zdiff__zmult__distrib]) ).
fof(i_0_1316,plain,
! [X2044,X2045,X2046] : times_times_nat(X2044,plus_plus_nat(X2045,X2046)) = plus_plus_nat(times_times_nat(X2044,X2045),times_times_nat(X2044,X2046)),
inference(variable_rename,[status(thm)],[fact_181_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J]) ).
fof(i_0_1317,plain,
! [X2524,X2525,X2526] : power_power_nat(X2524,plus_plus_nat(X2525,X2526)) = times_times_nat(power_power_nat(X2524,X2525),power_power_nat(X2524,X2526)),
inference(variable_rename,[status(thm)],[fact_461_power__add]) ).
fof(i_0_1318,plain,
! [X2041,X2042,X2043] : times_times_real(X2041,plus_plus_real(X2042,X2043)) = plus_plus_real(times_times_real(X2041,X2042),times_times_real(X2041,X2043)),
inference(variable_rename,[status(thm)],[fact_180_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J]) ).
fof(i_0_1319,plain,
! [X2527,X2528,X2529] : power_power_real(X2527,plus_plus_nat(X2528,X2529)) = times_times_real(power_power_real(X2527,X2528),power_power_real(X2527,X2529)),
inference(variable_rename,[status(thm)],[fact_462_power__add]) ).
fof(i_0_1320,plain,
! [X2530,X2531,X2532] : power_power_int(X2530,plus_plus_nat(X2531,X2532)) = times_times_int(power_power_int(X2530,X2531),power_power_int(X2530,X2532)),
inference(variable_rename,[status(thm)],[fact_463_power__add]) ).
fof(i_0_1321,plain,
! [X1758,X1759,X1760] : power_power_int(X1758,plus_plus_nat(X1759,X1760)) = times_times_int(power_power_int(X1758,X1759),power_power_int(X1758,X1760)),
inference(variable_rename,[status(thm)],[fact_59_zpower__zadd__distrib]) ).
fof(i_0_1322,plain,
! [X2088,X2089,X2090] : times_times_int(X2088,plus_plus_int(X2089,X2090)) = plus_plus_int(times_times_int(X2088,X2089),times_times_int(X2088,X2090)),
inference(variable_rename,[status(thm)],[fact_209_zadd__zmult__distrib2]) ).
fof(i_0_1323,plain,
! [X2047,X2048,X2049] : times_times_int(X2047,plus_plus_int(X2048,X2049)) = plus_plus_int(times_times_int(X2047,X2048),times_times_int(X2047,X2049)),
inference(variable_rename,[status(thm)],[fact_182_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J]) ).
fof(i_0_1324,plain,
! [X2774,X2775,X2776] : times_times_int(X2774,minus_minus_int(X2775,X2776)) = minus_minus_int(times_times_int(X2774,X2775),times_times_int(X2774,X2776)),
inference(variable_rename,[status(thm)],[fact_596_zdiff__zmult__distrib2]) ).
fof(i_0_1325,plain,
! [X2979,X2980] :
( ( X2979 = zero_zero_real
| plus_plus_real(times_times_real(X2979,X2979),times_times_real(X2980,X2980)) != zero_zero_real )
& ( X2980 = zero_zero_real
| plus_plus_real(times_times_real(X2979,X2979),times_times_real(X2980,X2980)) != zero_zero_real )
& ( X2979 != zero_zero_real
| X2980 != zero_zero_real
| plus_plus_real(times_times_real(X2979,X2979),times_times_real(X2980,X2980)) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_677_real__two__squares__add__zero__iff])])]) ).
fof(i_0_1326,plain,
! [X2403,X2404] :
( ( X2403 = zero_zero_real
| plus_plus_real(times_times_real(X2403,X2403),times_times_real(X2404,X2404)) != zero_zero_real )
& ( X2404 = zero_zero_real
| plus_plus_real(times_times_real(X2403,X2403),times_times_real(X2404,X2404)) != zero_zero_real )
& ( X2403 != zero_zero_real
| X2404 != zero_zero_real
| plus_plus_real(times_times_real(X2403,X2403),times_times_real(X2404,X2404)) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_383_sum__squares__eq__zero__iff])])]) ).
fof(i_0_1327,plain,
! [X2927,X2928,X2929] :
( ~ zprime(X2929)
| ~ dvd_dvd_int(X2929,power_power_int(X2927,X2928))
| ~ ord_less_nat(zero_zero_nat,X2928)
| dvd_dvd_int(X2929,X2927) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_657_zpower__zdvd__prop2])]) ).
cnf(i_0_1328,plain,
( ord_less_int(bit1(X1),pls)
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_859]) ).
cnf(i_0_1329,plain,
( ord_less_int(bit1(X1),min)
| ~ ord_less_int(X1,min) ),
inference(split_conjunct,[status(thm)],[i_0_861]) ).
cnf(i_0_1330,plain,
( ord_less_int(bit1(X1),zero_zero_int)
| ~ ord_less_int(X1,zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_862]) ).
cnf(i_0_1331,plain,
( ord_less_eq_int(bit1(X1),pls)
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_860]) ).
cnf(i_0_1332,plain,
( ord_less_eq_int(bit1(X1),min)
| ~ ord_less_eq_int(X1,min) ),
inference(split_conjunct,[status(thm)],[i_0_863]) ).
cnf(i_0_1333,plain,
( ord_less_int(pls,bit1(X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_856]) ).
cnf(i_0_1334,plain,
( ord_less_int(min,bit1(X1))
| ~ ord_less_int(min,X1) ),
inference(split_conjunct,[status(thm)],[i_0_855]) ).
cnf(i_0_1335,plain,
( ord_less_eq_int(pls,bit1(X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_857]) ).
cnf(i_0_1336,plain,
( ord_less_eq_int(min,bit1(X1))
| ~ ord_less_eq_int(min,X1) ),
inference(split_conjunct,[status(thm)],[i_0_858]) ).
fof(i_0_1337,plain,
! [X2287,X2288] :
( ~ is_int(X2287)
| ~ is_int(X2288)
| ~ ord_less_eq_int(zero_zero_int,X2288)
| ~ ord_less_eq_int(zero_zero_int,X2287)
| ~ dvd_dvd_int(X2288,X2287)
| ~ dvd_dvd_int(X2287,X2288)
| X2288 = X2287 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_325_zdvd__antisym__nonneg])]) ).
fof(i_0_1338,plain,
! [X2799,X2800] :
( ~ is_int(X2800)
| ~ ord_less_int(zero_zero_int,X2800)
| ~ ord_less_int(X2800,X2799)
| X2800 = minus_minus_int(X2799,one_one_int)
| ord_less_int(X2800,minus_minus_int(X2799,one_one_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_605_Euler_Oaux1])]) ).
fof(i_0_1339,plain,
! [X2838,X2839] :
( ( X2839 != zero_zero_nat
| times_times_nat(X2839,X2838) = zero_zero_nat )
& ( X2839 = zero_zero_nat
| times_times_nat(X2839,X2838) = plus_plus_nat(X2838,times_times_nat(minus_minus_nat(X2839,one_one_nat),X2838)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_625_mult__eq__if])]) ).
fof(i_0_1340,plain,
! [X2840,X2841] :
( ( X2841 != zero_zero_nat
| power_power_nat(X2840,X2841) = one_one_nat )
& ( X2841 = zero_zero_nat
| power_power_nat(X2840,X2841) = times_times_nat(X2840,power_power_nat(X2840,minus_minus_nat(X2841,one_one_nat))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_626_power__eq__if])]) ).
fof(i_0_1341,plain,
! [X2844,X2845,X2846] :
( ~ dvd_dvd_nat(X2845,X2846)
| ~ dvd_dvd_nat(X2845,plus_plus_nat(X2846,X2844))
| dvd_dvd_nat(X2845,X2844) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_628_divides__add__revr])]) ).
fof(i_0_1342,plain,
! [X2777,X2778,X2779] :
( ~ dvd_dvd_int(X2777,minus_minus_int(X2778,X2779))
| ~ dvd_dvd_int(X2777,X2779)
| dvd_dvd_int(X2777,X2778) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_597_zdvd__zdiffD])]) ).
fof(i_0_1343,plain,
! [X2707,X2708] :
( ( ~ zcong(X2707,X2708,zero_zero_int)
| X2707 = X2708
| ~ is_int(X2707)
| ~ is_int(X2708) )
& ( X2707 != X2708
| zcong(X2707,X2708,zero_zero_int)
| ~ is_int(X2707)
| ~ is_int(X2708) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_567_IntPrimes_Ozcong__zero])])]) ).
fof(i_0_1344,plain,
! [X2906,X2907,X2908] :
( ~ zprime(X2908)
| ~ dvd_dvd_int(X2908,times_times_int(X2906,X2907))
| dvd_dvd_int(X2908,X2906)
| dvd_dvd_int(X2908,X2907) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_650_zprime__zdvd__zmult__better])]) ).
fof(i_0_1345,plain,
! [X2902,X2903] :
( ( ~ zcong(X2902,zero_zero_int,X2903)
| dvd_dvd_int(X2903,X2902) )
& ( ~ dvd_dvd_int(X2903,X2902)
| zcong(X2902,zero_zero_int,X2903) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_648_zcong__eq__zdvd__prop])]) ).
fof(i_0_1346,plain,
! [X2900,X2901] :
( ( ~ zcong(X2900,zero_zero_int,X2901)
| dvd_dvd_int(X2901,X2900) )
& ( ~ dvd_dvd_int(X2901,X2900)
| zcong(X2900,zero_zero_int,X2901) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_647_zcong__zero__equiv__div])]) ).
fof(i_0_1347,plain,
! [X2827,X2828] :
( ( ~ zcong(X2827,zero_zero_int,X2828)
| legendre(X2827,X2828) = zero_zero_int )
& ( ~ quadRes(X2828,X2827)
| legendre(X2827,X2828) = one_one_int
| zcong(X2827,zero_zero_int,X2828) )
& ( quadRes(X2828,X2827)
| legendre(X2827,X2828) = number_number_of_int(min)
| zcong(X2827,zero_zero_int,X2828) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_887])])]) ).
cnf(i_0_1348,plain,
minus_minus_int(pls,bit0(X1)) = bit0(minus_minus_int(pls,X1)),
inference(split_conjunct,[status(thm)],[i_0_888]) ).
fof(i_0_1349,plain,
! [X2638,X2639] :
( ( ~ ord_less_nat(zero_zero_nat,power_power_nat(X2638,number_number_of_nat(X2639)))
| number_number_of_nat(X2639) = zero_zero_nat
| ord_less_nat(zero_zero_nat,X2638) )
& ( number_number_of_nat(X2639) != zero_zero_nat
| ord_less_nat(zero_zero_nat,power_power_nat(X2638,number_number_of_nat(X2639))) )
& ( ~ ord_less_nat(zero_zero_nat,X2638)
| ord_less_nat(zero_zero_nat,power_power_nat(X2638,number_number_of_nat(X2639))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_511_zero__less__power__nat__eq__number__of])])]) ).
fof(i_0_1350,plain,
! [X2095,X2096] :
( ~ ord_less_eq_int(pls,X2096)
| ~ ord_less_eq_int(pls,X2095)
| times_times_nat(number_number_of_nat(X2096),number_number_of_nat(X2095)) = number_number_of_nat(times_times_int(X2096,X2095)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_212_semiring__mult__number__of])]) ).
fof(i_0_1351,plain,
! [X2101,X2102] :
( ~ ord_less_eq_int(pls,X2102)
| ~ ord_less_eq_int(pls,X2101)
| plus_plus_nat(number_number_of_nat(X2102),number_number_of_nat(X2101)) = number_number_of_nat(plus_plus_int(X2102,X2101)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_semiring__add__number__of])]) ).
fof(i_0_1352,plain,
! [X2093,X2094] :
( ~ ord_less_eq_int(pls,X2094)
| ~ ord_less_eq_int(pls,X2093)
| times_times_real(number267125858f_real(X2094),number267125858f_real(X2093)) = number267125858f_real(times_times_int(X2094,X2093)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_211_semiring__mult__number__of])]) ).
fof(i_0_1353,plain,
! [X2099,X2100] :
( ~ ord_less_eq_int(pls,X2100)
| ~ ord_less_eq_int(pls,X2099)
| plus_plus_real(number267125858f_real(X2100),number267125858f_real(X2099)) = number267125858f_real(plus_plus_int(X2100,X2099)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_214_semiring__add__number__of])]) ).
fof(i_0_1354,plain,
! [X2097,X2098] :
( ~ ord_less_eq_int(pls,X2098)
| ~ ord_less_eq_int(pls,X2097)
| times_times_int(number_number_of_int(X2098),number_number_of_int(X2097)) = number_number_of_int(times_times_int(X2098,X2097)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_213_semiring__mult__number__of])]) ).
fof(i_0_1355,plain,
! [X2103,X2104] :
( ~ ord_less_eq_int(pls,X2104)
| ~ ord_less_eq_int(pls,X2103)
| plus_plus_int(number_number_of_int(X2104),number_number_of_int(X2103)) = number_number_of_int(plus_plus_int(X2104,X2103)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_216_semiring__add__number__of])]) ).
fof(i_0_1356,plain,
! [X2427,X2428] :
( ~ ord_less_int(zero_zero_int,X2428)
| ~ ord_less_int(zero_zero_int,times_times_int(X2428,X2427))
| ord_less_int(zero_zero_int,X2427) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_401_pos__zmult__pos])]) ).
fof(i_0_1357,plain,
! [X1983,X1984] :
( ( ~ ord_less_int(X1983,plus_plus_int(X1984,one_one_int))
| ord_less_int(X1983,X1984)
| X1983 = X1984
| ~ is_int(X1983)
| ~ is_int(X1984) )
& ( ~ ord_less_int(X1983,X1984)
| ord_less_int(X1983,plus_plus_int(X1984,one_one_int))
| ~ is_int(X1983)
| ~ is_int(X1984) )
& ( X1983 != X1984
| ord_less_int(X1983,plus_plus_int(X1984,one_one_int))
| ~ is_int(X1983)
| ~ is_int(X1984) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_156_zless__add1__eq])])]) ).
fof(i_0_1358,plain,
! [X2298,X2299,X2300] :
( ~ dvd_dvd_real(X2299,X2300)
| dvd_dvd_real(power_power_real(X2299,X2298),power_power_real(X2300,X2298)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_329_dvd__power__same])]) ).
fof(i_0_1359,plain,
! [X2249,X2250,X2251] :
( ~ ord_less_eq_nat(X2250,X2251)
| dvd_dvd_real(power_power_real(X2249,X2250),power_power_real(X2249,X2251)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_314_le__imp__power__dvd])]) ).
fof(i_0_1360,plain,
! [X2850,X2851,X2852] :
( ~ dvd_dvd_nat(X2851,X2852)
| dvd_dvd_nat(times_times_nat(X2851,X2850),times_times_nat(X2852,X2850)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_630_divides__mul__r])]) ).
fof(i_0_1361,plain,
! [X2847,X2848,X2849] :
( ~ dvd_dvd_nat(X2848,X2849)
| dvd_dvd_nat(times_times_nat(X2847,X2848),times_times_nat(X2847,X2849)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_629_divides__mul__l])]) ).
fof(i_0_1362,plain,
! [X2875,X2876,X2877] :
( ~ dvd_dvd_nat(X2876,X2877)
| dvd_dvd_nat(power_power_nat(X2876,X2875),power_power_nat(X2877,X2875)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_638_divides__exp])]) ).
fof(i_0_1363,plain,
! [X2292,X2293,X2294] :
( ~ dvd_dvd_nat(X2293,X2294)
| dvd_dvd_nat(power_power_nat(X2293,X2292),power_power_nat(X2294,X2292)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_327_dvd__power__same])]) ).
fof(i_0_1364,plain,
! [X2243,X2244,X2245] :
( ~ ord_less_eq_nat(X2244,X2245)
| dvd_dvd_nat(power_power_nat(X2243,X2244),power_power_nat(X2243,X2245)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_312_le__imp__power__dvd])]) ).
fof(i_0_1365,plain,
! [X2295,X2296,X2297] :
( ~ dvd_dvd_int(X2296,X2297)
| dvd_dvd_int(power_power_int(X2296,X2295),power_power_int(X2297,X2295)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_328_dvd__power__same])]) ).
fof(i_0_1366,plain,
! [X2246,X2247,X2248] :
( ~ ord_less_eq_nat(X2247,X2248)
| dvd_dvd_int(power_power_int(X2246,X2247),power_power_int(X2246,X2248)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_313_le__imp__power__dvd])]) ).
fof(i_0_1367,plain,
! [X2953,X2954,X2955] :
( ~ ord_less_eq_real(X2954,X2955)
| ord_less_eq_real(plus_plus_real(X2953,X2954),plus_plus_real(X2953,X2955)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_668_real__add__left__mono])]) ).
cnf(i_0_1368,plain,
( ord_less_int(bit0(X1),bit0(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_882]) ).
cnf(i_0_1369,plain,
( ord_less_int(bit0(X1),bit0(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_883]) ).
fof(i_0_1370,plain,
! [X1783,X1784,X1785] :
( ~ ord_less_int(X1784,X1785)
| ord_less_int(plus_plus_int(X1784,X1783),plus_plus_int(X1785,X1783)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_75_zadd__strict__right__mono])]) ).
cnf(i_0_1371,plain,
( ord_less_eq_int(bit0(X1),bit0(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_884]) ).
cnf(i_0_1372,plain,
( ord_less_eq_int(bit0(X1),bit0(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_885]) ).
fof(i_0_1373,plain,
! [X1786,X1787,X1788] :
( ~ ord_less_eq_int(X1787,X1788)
| ord_less_eq_int(plus_plus_int(X1786,X1787),plus_plus_int(X1786,X1788)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_76_zadd__left__mono])]) ).
cnf(i_0_1374,plain,
number267125858f_real(bit0(X1)) = plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(X1)),number267125858f_real(X1)),
inference(split_conjunct,[status(thm)],[i_0_889]) ).
cnf(i_0_1375,plain,
number_number_of_int(bit0(X1)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X1)),number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[i_0_890]) ).
fof(i_0_1376,plain,
! [X2422,X2423,X2424] :
( ~ zprime(X2424)
| ~ dvd_dvd_int(X2424,power_power_int(X2422,X2423))
| dvd_dvd_int(X2424,X2422) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_388_zprime__zdvd__power])]) ).
fof(i_0_1377,plain,
! [X1733,X1734] :
( ( ~ ord_less_eq_nat(number_number_of_nat(X1733),number_number_of_nat(X1734))
| ~ ord_less_nat(number_number_of_nat(X1734),number_number_of_nat(X1733)) )
& ( ord_less_nat(number_number_of_nat(X1734),number_number_of_nat(X1733))
| ord_less_eq_nat(number_number_of_nat(X1733),number_number_of_nat(X1734)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_891])]) ).
fof(i_0_1378,plain,
! [X1731,X1732] :
( ( ~ ord_less_eq_real(number267125858f_real(X1731),number267125858f_real(X1732))
| ~ ord_less_real(number267125858f_real(X1732),number267125858f_real(X1731)) )
& ( ord_less_real(number267125858f_real(X1732),number267125858f_real(X1731))
| ord_less_eq_real(number267125858f_real(X1731),number267125858f_real(X1732)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_892])]) ).
fof(i_0_1379,plain,
! [X1735,X1736] :
( ( ~ ord_less_eq_int(number_number_of_int(X1735),number_number_of_int(X1736))
| ~ ord_less_int(number_number_of_int(X1736),number_number_of_int(X1735)) )
& ( ord_less_int(number_number_of_int(X1736),number_number_of_int(X1735))
| ord_less_eq_int(number_number_of_int(X1735),number_number_of_int(X1736)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_893])]) ).
fof(i_0_1380,plain,
! [X2911,X2912,X2913] :
( ~ ord_less_nat(zero_zero_nat,X2913)
| ~ dvd_dvd_int(X2911,X2912)
| dvd_dvd_int(X2911,power_power_int(X2912,X2913)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_652_zpower__zdvd__prop1])]) ).
cnf(i_0_1381,hypothesis,
( is_int(bit1(X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_894]) ).
fof(i_0_1382,plain,
! [X1789,X1790] :
( ( ~ ord_less_int(X1790,pls)
| plus_plus_nat(number_number_of_nat(X1790),number_number_of_nat(X1789)) = number_number_of_nat(X1789) )
& ( ~ ord_less_int(X1789,pls)
| plus_plus_nat(number_number_of_nat(X1790),number_number_of_nat(X1789)) = number_number_of_nat(X1790)
| ord_less_int(X1790,pls) )
& ( ord_less_int(X1789,pls)
| plus_plus_nat(number_number_of_nat(X1790),number_number_of_nat(X1789)) = number_number_of_nat(plus_plus_int(X1790,X1789))
| ord_less_int(X1790,pls) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_895])])]) ).
fof(i_0_1383,plain,
! [X3027,X3028] :
( ( ord_less_real(zero_zero_real,esk12_2(X3027,X3028))
| ~ ord_less_real(zero_zero_real,X3027)
| ~ ord_less_nat(zero_zero_nat,X3028) )
& ( power_power_real(esk12_2(X3027,X3028),X3028) = X3027
| ~ ord_less_real(zero_zero_real,X3027)
| ~ ord_less_nat(zero_zero_nat,X3028) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_697_realpow__pos__nth])])])]) ).
cnf(i_0_1384,plain,
bit1(X1) != bit0(X2),
inference(split_conjunct,[status(thm)],[i_0_896]) ).
cnf(i_0_1385,plain,
bit0(X1) != bit1(X2),
inference(split_conjunct,[status(thm)],[i_0_897]) ).
fof(i_0_1386,plain,
! [X1848,X1849,X1850] : times_times_nat(times_times_nat(X1848,X1849),X1850) = times_times_nat(times_times_nat(X1848,X1850),X1849),
inference(variable_rename,[status(thm)],[fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(i_0_1387,plain,
! [X1902,X1903,X1904] : plus_plus_nat(plus_plus_nat(X1902,X1903),X1904) = plus_plus_nat(plus_plus_nat(X1902,X1904),X1903),
inference(variable_rename,[status(thm)],[fact_119_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J]) ).
fof(i_0_1388,plain,
! [X1845,X1846,X1847] : times_times_real(times_times_real(X1845,X1846),X1847) = times_times_real(times_times_real(X1845,X1847),X1846),
inference(variable_rename,[status(thm)],[fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(i_0_1389,plain,
! [X1899,X1900,X1901] : plus_plus_real(plus_plus_real(X1899,X1900),X1901) = plus_plus_real(plus_plus_real(X1899,X1901),X1900),
inference(variable_rename,[status(thm)],[fact_118_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J]) ).
fof(i_0_1390,plain,
! [X1851,X1852,X1853] : times_times_int(times_times_int(X1851,X1852),X1853) = times_times_int(times_times_int(X1851,X1853),X1852),
inference(variable_rename,[status(thm)],[fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(i_0_1391,plain,
! [X1905,X1906,X1907] : plus_plus_int(plus_plus_int(X1905,X1906),X1907) = plus_plus_int(plus_plus_int(X1905,X1907),X1906),
inference(variable_rename,[status(thm)],[fact_120_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J]) ).
fof(i_0_1392,plain,
! [X1857,X1858,X1859] : times_times_nat(times_times_nat(X1857,X1858),X1859) = times_times_nat(X1857,times_times_nat(X1858,X1859)),
inference(variable_rename,[status(thm)],[fact_104_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J]) ).
fof(i_0_1393,plain,
! [X2509,X2510] : times_times_nat(power_power_nat(X2509,X2510),X2509) = times_times_nat(X2509,power_power_nat(X2509,X2510)),
inference(variable_rename,[status(thm)],[fact_455_power__commutes]) ).
fof(i_0_1394,plain,
! [X1716,X1717,X1718] : power_power_nat(power_power_nat(X1716,X1717),X1718) = power_power_nat(X1716,times_times_nat(X1717,X1718)),
inference(variable_rename,[status(thm)],[fact_41_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J]) ).
fof(i_0_1395,plain,
! [X1911,X1912,X1913] : plus_plus_nat(plus_plus_nat(X1911,X1912),X1913) = plus_plus_nat(X1911,plus_plus_nat(X1912,X1913)),
inference(variable_rename,[status(thm)],[fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J]) ).
fof(i_0_1396,plain,
! [X2950,X2951,X2952] : times_times_real(times_times_real(X2950,X2951),X2952) = times_times_real(X2950,times_times_real(X2951,X2952)),
inference(variable_rename,[status(thm)],[fact_667_real__mult__assoc]) ).
fof(i_0_1397,plain,
! [X1854,X1855,X1856] : times_times_real(times_times_real(X1854,X1855),X1856) = times_times_real(X1854,times_times_real(X1855,X1856)),
inference(variable_rename,[status(thm)],[fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J]) ).
fof(i_0_1398,plain,
! [X2511,X2512] : times_times_real(power_power_real(X2511,X2512),X2511) = times_times_real(X2511,power_power_real(X2511,X2512)),
inference(variable_rename,[status(thm)],[fact_456_power__commutes]) ).
fof(i_0_1399,plain,
! [X1719,X1720,X1721] : power_power_real(power_power_real(X1719,X1720),X1721) = power_power_real(X1719,times_times_nat(X1720,X1721)),
inference(variable_rename,[status(thm)],[fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J]) ).
fof(i_0_1400,plain,
! [X1908,X1909,X1910] : plus_plus_real(plus_plus_real(X1908,X1909),X1910) = plus_plus_real(X1908,plus_plus_real(X1909,X1910)),
inference(variable_rename,[status(thm)],[fact_121_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J]) ).
fof(i_0_1401,plain,
! [X1728,X1729,X1730] : power_power_int(power_power_int(X1728,X1729),X1730) = power_power_int(X1728,times_times_nat(X1729,X1730)),
inference(variable_rename,[status(thm)],[fact_47_zpower__zpower]) ).
fof(i_0_1402,plain,
! [X1722,X1723,X1724] : power_power_int(power_power_int(X1722,X1723),X1724) = power_power_int(X1722,times_times_nat(X1723,X1724)),
inference(variable_rename,[status(thm)],[fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J]) ).
fof(i_0_1403,plain,
! [X2513,X2514] : times_times_int(power_power_int(X2513,X2514),X2513) = times_times_int(X2513,power_power_int(X2513,X2514)),
inference(variable_rename,[status(thm)],[fact_457_power__commutes]) ).
fof(i_0_1404,plain,
! [X1955,X1956,X1957] : times_times_int(times_times_int(X1955,X1956),X1957) = times_times_int(X1955,times_times_int(X1956,X1957)),
inference(variable_rename,[status(thm)],[fact_140_zmult__assoc]) ).
fof(i_0_1405,plain,
! [X1860,X1861,X1862] : times_times_int(times_times_int(X1860,X1861),X1862) = times_times_int(X1860,times_times_int(X1861,X1862)),
inference(variable_rename,[status(thm)],[fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J]) ).
fof(i_0_1406,plain,
! [X1961,X1962,X1963] : plus_plus_int(plus_plus_int(X1961,X1962),X1963) = plus_plus_int(X1961,plus_plus_int(X1962,X1963)),
inference(variable_rename,[status(thm)],[fact_143_zadd__assoc]) ).
fof(i_0_1407,plain,
! [X1914,X1915,X1916] : plus_plus_int(plus_plus_int(X1914,X1915),X1916) = plus_plus_int(X1914,plus_plus_int(X1915,X1916)),
inference(variable_rename,[status(thm)],[fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J]) ).
fof(i_0_1408,plain,
! [X1866,X1867,X1868] : times_times_nat(X1866,times_times_nat(X1867,X1868)) = times_times_nat(times_times_nat(X1866,X1867),X1868),
inference(variable_rename,[status(thm)],[fact_107_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J]) ).
fof(i_0_1409,plain,
! [X2536,X2537,X2538] : power_power_nat(X2536,times_times_nat(X2537,X2538)) = power_power_nat(power_power_nat(X2536,X2537),X2538),
inference(variable_rename,[status(thm)],[fact_467_power__mult]) ).
fof(i_0_1410,plain,
! [X1920,X1921,X1922] : plus_plus_nat(X1920,plus_plus_nat(X1921,X1922)) = plus_plus_nat(plus_plus_nat(X1920,X1921),X1922),
inference(variable_rename,[status(thm)],[fact_125_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
fof(i_0_1411,plain,
! [X1863,X1864,X1865] : times_times_real(X1863,times_times_real(X1864,X1865)) = times_times_real(times_times_real(X1863,X1864),X1865),
inference(variable_rename,[status(thm)],[fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J]) ).
fof(i_0_1412,plain,
! [X2539,X2540,X2541] : power_power_real(X2539,times_times_nat(X2540,X2541)) = power_power_real(power_power_real(X2539,X2540),X2541),
inference(variable_rename,[status(thm)],[fact_468_power__mult]) ).
fof(i_0_1413,plain,
! [X1917,X1918,X1919] : plus_plus_real(X1917,plus_plus_real(X1918,X1919)) = plus_plus_real(plus_plus_real(X1917,X1918),X1919),
inference(variable_rename,[status(thm)],[fact_124_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
fof(i_0_1414,plain,
! [X2542,X2543,X2544] : power_power_int(X2542,times_times_nat(X2543,X2544)) = power_power_int(power_power_int(X2542,X2543),X2544),
inference(variable_rename,[status(thm)],[fact_469_power__mult]) ).
fof(i_0_1415,plain,
! [X1869,X1870,X1871] : times_times_int(X1869,times_times_int(X1870,X1871)) = times_times_int(times_times_int(X1869,X1870),X1871),
inference(variable_rename,[status(thm)],[fact_108_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J]) ).
fof(i_0_1416,plain,
! [X1923,X1924,X1925] : plus_plus_int(X1923,plus_plus_int(X1924,X1925)) = plus_plus_int(plus_plus_int(X1923,X1924),X1925),
inference(variable_rename,[status(thm)],[fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
fof(i_0_1417,plain,
! [X1875,X1876,X1877] : times_times_nat(X1875,times_times_nat(X1876,X1877)) = times_times_nat(X1876,times_times_nat(X1875,X1877)),
inference(variable_rename,[status(thm)],[fact_110_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(i_0_1418,plain,
! [X1929,X1930,X1931] : plus_plus_nat(X1929,plus_plus_nat(X1930,X1931)) = plus_plus_nat(X1930,plus_plus_nat(X1929,X1931)),
inference(variable_rename,[status(thm)],[fact_128_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J]) ).
fof(i_0_1419,plain,
! [X1872,X1873,X1874] : times_times_real(X1872,times_times_real(X1873,X1874)) = times_times_real(X1873,times_times_real(X1872,X1874)),
inference(variable_rename,[status(thm)],[fact_109_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(i_0_1420,plain,
! [X1926,X1927,X1928] : plus_plus_real(X1926,plus_plus_real(X1927,X1928)) = plus_plus_real(X1927,plus_plus_real(X1926,X1928)),
inference(variable_rename,[status(thm)],[fact_127_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J]) ).
fof(i_0_1421,plain,
! [X1878,X1879,X1880] : times_times_int(X1878,times_times_int(X1879,X1880)) = times_times_int(X1879,times_times_int(X1878,X1880)),
inference(variable_rename,[status(thm)],[fact_111_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(i_0_1422,plain,
! [X1964,X1965,X1966] : plus_plus_int(X1964,plus_plus_int(X1965,X1966)) = plus_plus_int(X1965,plus_plus_int(X1964,X1966)),
inference(variable_rename,[status(thm)],[fact_144_zadd__left__commute]) ).
fof(i_0_1423,plain,
! [X1932,X1933,X1934] : plus_plus_int(X1932,plus_plus_int(X1933,X1934)) = plus_plus_int(X1933,plus_plus_int(X1932,X1934)),
inference(variable_rename,[status(thm)],[fact_129_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J]) ).
fof(i_0_1424,plain,
! [X2671,X2672] :
( ~ ord_less_nat(one_one_nat,X2672)
| ~ ord_less_nat(zero_zero_nat,X2671)
| ord_less_nat(one_one_nat,power_power_nat(X2672,X2671)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_549_one__less__power])]) ).
fof(i_0_1425,plain,
! [X2968,X2969] :
( ~ ord_less_real(zero_zero_real,X2969)
| ~ ord_less_real(zero_zero_real,X2968)
| ord_less_real(zero_zero_real,times_times_real(X2969,X2968)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_673_real__mult__order])]) ).
fof(i_0_1426,plain,
! [X2669,X2670] :
( ~ ord_less_real(one_one_real,X2670)
| ~ ord_less_nat(zero_zero_nat,X2669)
| ord_less_real(one_one_real,power_power_real(X2670,X2669)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_548_one__less__power])]) ).
fof(i_0_1427,plain,
! [X2673,X2674] :
( ~ ord_less_int(one_one_int,X2674)
| ~ ord_less_nat(zero_zero_nat,X2673)
| ord_less_int(one_one_int,power_power_int(X2674,X2673)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_550_one__less__power])]) ).
fof(i_0_1428,plain,
! [X3021,X3022] :
( ~ ord_less_eq_int(zero_zero_int,X3022)
| ~ ord_less_eq_int(zero_zero_int,X3021)
| ord_less_eq_int(zero_zero_int,times_times_int(X3022,X3021)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_693_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J])]) ).
fof(i_0_1429,plain,
! [X3023,X3024] :
( ~ ord_less_eq_int(zero_zero_int,X3024)
| ~ ord_less_eq_int(zero_zero_int,X3023)
| ord_less_eq_int(zero_zero_int,plus_plus_int(X3024,X3023)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_694_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J])]) ).
fof(i_0_1430,plain,
! [X2894,X2895,X2896] :
( X2896 = zero_zero_nat
| ~ dvd_dvd_nat(power_power_nat(X2894,X2896),X2895)
| dvd_dvd_nat(X2894,X2895) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_645_divides__exp2])]) ).
fof(i_0_1431,plain,
! [X2455,X2456] :
( ( ~ ord_less_int(X2455,X2456)
| ord_less_int(pls,X2456)
| ~ ord_less_nat(number_number_of_nat(X2455),number_number_of_nat(X2456)) )
& ( ord_less_int(X2455,X2456)
| ~ ord_less_nat(number_number_of_nat(X2455),number_number_of_nat(X2456)) )
& ( ord_less_int(X2455,X2456)
| ~ ord_less_int(X2455,X2456)
| ord_less_nat(number_number_of_nat(X2455),number_number_of_nat(X2456)) )
& ( ~ ord_less_int(pls,X2456)
| ~ ord_less_int(X2455,X2456)
| ord_less_nat(number_number_of_nat(X2455),number_number_of_nat(X2456)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_413_less__nat__number__of])])]) ).
fof(i_0_1432,plain,
! [X2126,X2127] : plus_plus_nat(times_times_nat(X2126,X2127),X2127) = times_times_nat(plus_plus_nat(X2126,one_one_nat),X2127),
inference(variable_rename,[status(thm)],[fact_225_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J]) ).
fof(i_0_1433,plain,
! [X2124,X2125] : plus_plus_real(times_times_real(X2124,X2125),X2125) = times_times_real(plus_plus_real(X2124,one_one_real),X2125),
inference(variable_rename,[status(thm)],[fact_224_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J]) ).
fof(i_0_1434,plain,
! [X2128,X2129] : plus_plus_int(times_times_int(X2128,X2129),X2129) = times_times_int(plus_plus_int(X2128,one_one_int),X2129),
inference(variable_rename,[status(thm)],[fact_226_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J]) ).
fof(i_0_1435,plain,
! [X2132,X2133] : plus_plus_nat(X2132,times_times_nat(X2133,X2132)) = times_times_nat(plus_plus_nat(X2133,one_one_nat),X2132),
inference(variable_rename,[status(thm)],[fact_228_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(i_0_1436,plain,
! [X2130,X2131] : plus_plus_real(X2130,times_times_real(X2131,X2130)) = times_times_real(plus_plus_real(X2131,one_one_real),X2130),
inference(variable_rename,[status(thm)],[fact_227_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(i_0_1437,plain,
! [X2134,X2135] : plus_plus_int(X2134,times_times_int(X2135,X2134)) = times_times_int(plus_plus_int(X2135,one_one_int),X2134),
inference(variable_rename,[status(thm)],[fact_229_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(i_0_1438,plain,
! [X2636,X2637] :
( ( ~ ord_less_nat(zero_zero_nat,power_power_nat(X2636,X2637))
| X2637 = zero_zero_nat
| ord_less_nat(zero_zero_nat,X2636) )
& ( X2637 != zero_zero_nat
| ord_less_nat(zero_zero_nat,power_power_nat(X2636,X2637)) )
& ( ~ ord_less_nat(zero_zero_nat,X2636)
| ord_less_nat(zero_zero_nat,power_power_nat(X2636,X2637)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_510_zero__less__power__nat__eq])])]) ).
fof(i_0_1439,plain,
! [X2634,X2635] :
( ( ~ ord_less_nat(zero_zero_nat,power_power_nat(X2634,X2635))
| ord_less_nat(zero_zero_nat,X2634)
| X2635 = zero_zero_nat )
& ( ~ ord_less_nat(zero_zero_nat,X2634)
| ord_less_nat(zero_zero_nat,power_power_nat(X2634,X2635)) )
& ( X2635 != zero_zero_nat
| ord_less_nat(zero_zero_nat,power_power_nat(X2634,X2635)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_509_nat__zero__less__power__iff])])]) ).
fof(i_0_1440,plain,
! [X2941,X2942] :
( ( ~ ord_less_eq_real(X2941,X2942)
| ord_less_eq_real(minus_minus_real(X2941,X2942),zero_zero_real) )
& ( ~ ord_less_eq_real(minus_minus_real(X2941,X2942),zero_zero_real)
| ord_less_eq_real(X2941,X2942) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_662_real__le__eq__diff])]) ).
fof(i_0_1441,plain,
! [X2787,X2788] :
( ( ~ ord_less_int(X2787,X2788)
| ord_less_int(minus_minus_int(X2787,X2788),zero_zero_int) )
& ( ~ ord_less_int(minus_minus_int(X2787,X2788),zero_zero_int)
| ord_less_int(X2787,X2788) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_602_less__bin__lemma])]) ).
fof(i_0_1442,plain,
! [X2704,X2705,X2706] :
( ~ ord_less_int(X2705,X2706)
| ~ ord_less_int(X2704,X2706)
| ord_less_eq_int(X2705,X2704)
| ord_less_eq_int(X2704,X2705) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_566_Euler_Oaux2])]) ).
cnf(i_0_1443,plain,
( ord_less_int(pls,X1)
| ~ ord_less_int(pls,bit0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_898]) ).
cnf(i_0_1444,plain,
( ord_less_int(min,X1)
| ~ ord_less_int(min,bit0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_899]) ).
cnf(i_0_1445,plain,
( ord_less_int(min,X1)
| ~ ord_less_eq_int(min,bit0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_900]) ).
cnf(i_0_1446,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,bit0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_901]) ).
fof(i_0_1447,plain,
! [X2401] :
( ( ~ ord_less_real(plus_plus_real(X2401,X2401),zero_zero_real)
| ord_less_real(X2401,zero_zero_real) )
& ( ~ ord_less_real(X2401,zero_zero_real)
| ord_less_real(plus_plus_real(X2401,X2401),zero_zero_real) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_381_even__less__0__iff])]) ).
cnf(i_0_1448,plain,
( ord_less_int(X1,pls)
| ~ ord_less_int(bit0(X1),pls) ),
inference(split_conjunct,[status(thm)],[i_0_902]) ).
cnf(i_0_1449,plain,
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(bit0(X1),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_903]) ).
fof(i_0_1450,plain,
! [X2402] :
( ( ~ ord_less_int(plus_plus_int(X2402,X2402),zero_zero_int)
| ord_less_int(X2402,zero_zero_int) )
& ( ~ ord_less_int(X2402,zero_zero_int)
| ord_less_int(plus_plus_int(X2402,X2402),zero_zero_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_382_even__less__0__iff])]) ).
cnf(i_0_1451,plain,
( ord_less_eq_int(X1,pls)
| ~ ord_less_eq_int(bit0(X1),pls) ),
inference(split_conjunct,[status(thm)],[i_0_904]) ).
cnf(i_0_1452,plain,
( ord_less_eq_int(X1,min)
| ~ ord_less_int(bit0(X1),min) ),
inference(split_conjunct,[status(thm)],[i_0_905]) ).
cnf(i_0_1453,plain,
( ord_less_eq_int(X1,min)
| ~ ord_less_eq_int(bit0(X1),min) ),
inference(split_conjunct,[status(thm)],[i_0_906]) ).
fof(i_0_1454,plain,
! [X1803,X1804] :
( ( ~ ord_less_eq_int(plus_plus_int(X1803,one_one_int),X1804)
| ord_less_int(X1803,X1804) )
& ( ~ ord_less_int(X1803,X1804)
| ord_less_eq_int(plus_plus_int(X1803,one_one_int),X1804) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_87_add1__zle__eq])]) ).
fof(i_0_1455,plain,
! [X2801,X2802] :
( ( ~ ord_less_eq_int(X2801,minus_minus_int(X2802,one_one_int))
| ord_less_int(X2801,X2802) )
& ( ~ ord_less_int(X2801,X2802)
| ord_less_eq_int(X2801,minus_minus_int(X2802,one_one_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_606_zle__diff1__eq])]) ).
fof(i_0_1456,plain,
! [X1805,X1806] :
( ( ~ ord_less_int(X1805,plus_plus_int(X1806,one_one_int))
| ord_less_eq_int(X1805,X1806) )
& ( ~ ord_less_eq_int(X1805,X1806)
| ord_less_int(X1805,plus_plus_int(X1806,one_one_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_88_zle__add1__eq__le])]) ).
cnf(i_0_1457,plain,
times_times_real(plus_plus_real(one_one_real,one_one_real),number267125858f_real(X1)) = number267125858f_real(bit0(X1)),
inference(split_conjunct,[status(thm)],[i_0_907]) ).
cnf(i_0_1458,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X1)) = number_number_of_int(bit0(X1)),
inference(split_conjunct,[status(thm)],[i_0_908]) ).
fof(i_0_1459,plain,
! [X2465,X2466] :
( ( ~ ord_less_eq_nat(number_number_of_nat(X2465),number_number_of_nat(X2466))
| ord_less_eq_int(X2465,X2466)
| ord_less_eq_int(X2465,pls) )
& ( ~ ord_less_eq_int(X2465,X2466)
| ord_less_eq_nat(number_number_of_nat(X2465),number_number_of_nat(X2466)) )
& ( ~ ord_less_eq_int(X2465,pls)
| ord_less_eq_nat(number_number_of_nat(X2465),number_number_of_nat(X2466)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_909])])]) ).
fof(i_0_1460,plain,
! [X2696,X2697] :
( ( ~ ord_less_int(X2697,pls)
| times_times_nat(number_number_of_nat(X2697),number_number_of_nat(X2696)) = zero_zero_nat )
& ( ord_less_int(X2697,pls)
| times_times_nat(number_number_of_nat(X2697),number_number_of_nat(X2696)) = number_number_of_nat(times_times_int(X2697,X2696)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_910])]) ).
fof(i_0_1461,plain,
! [X2630,X2631] :
( ( ord_less_int(one_one_int,X2630)
| ~ zprime(X2630)
| ~ is_int(X2630) )
& ( ~ is_int(X2631)
| ~ ord_less_eq_int(zero_zero_int,X2631)
| ~ dvd_dvd_int(X2631,X2630)
| X2631 = one_one_int
| X2631 = X2630
| ~ zprime(X2630)
| ~ is_int(X2630) )
& ( is_int(esk8_1(X2630))
| ~ ord_less_int(one_one_int,X2630)
| zprime(X2630)
| ~ is_int(X2630) )
& ( ord_less_eq_int(zero_zero_int,esk8_1(X2630))
| ~ ord_less_int(one_one_int,X2630)
| zprime(X2630)
| ~ is_int(X2630) )
& ( dvd_dvd_int(esk8_1(X2630),X2630)
| ~ ord_less_int(one_one_int,X2630)
| zprime(X2630)
| ~ is_int(X2630) )
& ( esk8_1(X2630) != one_one_int
| ~ ord_less_int(one_one_int,X2630)
| zprime(X2630)
| ~ is_int(X2630) )
& ( esk8_1(X2630) != X2630
| ~ ord_less_int(one_one_int,X2630)
| zprime(X2630)
| ~ is_int(X2630) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_506_zprime__def])])])])]) ).
cnf(i_0_1462,plain,
( min = X1
| min != bit1(X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_911]) ).
cnf(i_0_1463,plain,
( X1 = min
| bit1(X1) != min
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_912]) ).
cnf(i_0_1464,plain,
number267125858f_real(bit1(pls)) = one_one_real,
inference(split_conjunct,[status(thm)],[fact_261_numeral__1__eq__1]) ).
cnf(i_0_1465,plain,
number267125858f_real(bit1(pls)) = one_one_real,
inference(split_conjunct,[status(thm)],[fact_258_semiring__numeral__1__eq__1]) ).
cnf(i_0_1466,plain,
number_number_of_nat(bit1(pls)) = one_one_nat,
inference(split_conjunct,[status(thm)],[fact_259_semiring__numeral__1__eq__1]) ).
cnf(i_0_1467,plain,
number_number_of_nat(bit1(pls)) = one_one_nat,
inference(split_conjunct,[status(thm)],[fact_78_nat__numeral__1__eq__1]) ).
cnf(i_0_1468,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(split_conjunct,[status(thm)],[fact_262_numeral__1__eq__1]) ).
cnf(i_0_1469,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(split_conjunct,[status(thm)],[fact_260_semiring__numeral__1__eq__1]) ).
cnf(i_0_1470,plain,
one_one_nat = number_number_of_nat(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_79_Numeral1__eq1__nat]) ).
cnf(i_0_1471,plain,
one_one_real = number267125858f_real(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_263_semiring__norm_I110_J]) ).
cnf(i_0_1472,plain,
one_one_int = number_number_of_int(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_265_one__is__num__one]) ).
cnf(i_0_1473,plain,
one_one_int = number_number_of_int(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_264_semiring__norm_I110_J]) ).
fof(i_0_1474,plain,
! [X2589,X2590,X2591] :
( ( power_power_nat(X2591,X2589) != power_power_nat(X2591,X2590)
| X2589 = X2590
| ~ ord_less_nat(one_one_nat,X2591) )
& ( X2589 != X2590
| power_power_nat(X2591,X2589) = power_power_nat(X2591,X2590)
| ~ ord_less_nat(one_one_nat,X2591) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_490_power__inject__exp])])]) ).
fof(i_0_1475,plain,
! [X2586,X2587,X2588] :
( ( power_power_real(X2588,X2586) != power_power_real(X2588,X2587)
| X2586 = X2587
| ~ ord_less_real(one_one_real,X2588) )
& ( X2586 != X2587
| power_power_real(X2588,X2586) = power_power_real(X2588,X2587)
| ~ ord_less_real(one_one_real,X2588) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_489_power__inject__exp])])]) ).
fof(i_0_1476,plain,
! [X2592,X2593,X2594] :
( ( power_power_int(X2594,X2592) != power_power_int(X2594,X2593)
| X2592 = X2593
| ~ ord_less_int(one_one_int,X2594) )
& ( X2592 != X2593
| power_power_int(X2594,X2592) = power_power_int(X2594,X2593)
| ~ ord_less_int(one_one_int,X2594) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_491_power__inject__exp])])]) ).
fof(i_0_1477,plain,
! [X2285,X2286] :
( ~ ord_less_int(zero_zero_int,X2286)
| ~ ord_less_int(X2286,X2285)
| ~ dvd_dvd_int(X2285,X2286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_913])]) ).
fof(i_0_1478,plain,
! [X2647] :
( ( ord_less_real(zero_zero_real,times_times_real(X2647,X2647))
| X2647 = zero_zero_real )
& ( X2647 != zero_zero_real
| ~ ord_less_real(zero_zero_real,times_times_real(X2647,X2647)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_914])]) ).
fof(i_0_1479,plain,
! [X1714,X1715] :
( ~ is_int(X1714)
| ~ is_int(X1715)
| ~ ord_less_eq_int(X1714,X1715)
| ~ ord_less_eq_int(X1715,X1714)
| X1714 = X1715 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_40_zle__antisym])]) ).
cnf(i_0_1480,plain,
( X1 = X2
| bit0(X1) != bit0(X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_915]) ).
fof(i_0_1481,plain,
! [X2679,X2680] :
( ( ~ ord_less_nat(zero_zero_nat,X2680)
| dvd_dvd_real(X2679,power_power_real(X2679,X2680)) )
& ( X2679 != one_one_real
| dvd_dvd_real(X2679,power_power_real(X2679,X2680)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_553_dvd__power])])]) ).
fof(i_0_1482,plain,
! [X2675,X2676] :
( ( ~ ord_less_nat(zero_zero_nat,X2676)
| dvd_dvd_nat(X2675,power_power_nat(X2675,X2676)) )
& ( X2675 != one_one_nat
| dvd_dvd_nat(X2675,power_power_nat(X2675,X2676)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_551_dvd__power])])]) ).
fof(i_0_1483,plain,
! [X2677,X2678] :
( ( ~ ord_less_nat(zero_zero_nat,X2678)
| dvd_dvd_int(X2677,power_power_int(X2677,X2678)) )
& ( X2677 != one_one_int
| dvd_dvd_int(X2677,power_power_int(X2677,X2678)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_552_dvd__power])])]) ).
fof(i_0_1484,plain,
! [X1801,X1802] :
( ~ ord_less_int(X1801,X1802)
| ord_less_eq_int(plus_plus_int(X1801,one_one_int),X1802) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_86_zless__imp__add1__zle])]) ).
fof(i_0_1485,plain,
! [X3015,X3016,X3017] :
( ~ ord_less_eq_real(X3016,X3017)
| ~ ord_less_eq_real(X3017,X3015)
| ord_less_eq_real(X3016,X3015) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_688_real__le__trans])]) ).
fof(i_0_1486,plain,
! [X1711,X1712,X1713] :
( ~ ord_less_eq_int(X1712,X1713)
| ~ ord_less_eq_int(X1713,X1711)
| ord_less_eq_int(X1712,X1711) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_39_zle__trans])]) ).
cnf(i_0_1487,plain,
( ord_less_int(bit0(X1),pls)
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_902]) ).
cnf(i_0_1488,plain,
( ord_less_int(bit0(X1),min)
| ~ ord_less_eq_int(X1,min) ),
inference(split_conjunct,[status(thm)],[i_0_905]) ).
cnf(i_0_1489,plain,
( ord_less_int(bit0(X1),zero_zero_int)
| ~ ord_less_int(X1,zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_903]) ).
cnf(i_0_1490,plain,
( ord_less_eq_int(bit0(X1),pls)
| ~ ord_less_eq_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_904]) ).
cnf(i_0_1491,plain,
( ord_less_eq_int(bit0(X1),min)
| ~ ord_less_eq_int(X1,min) ),
inference(split_conjunct,[status(thm)],[i_0_906]) ).
fof(i_0_1492,plain,
! [X2358,X2359] :
( ~ ord_less_nat(zero_zero_nat,X2359)
| ord_less_nat(zero_zero_nat,power_power_nat(X2359,X2358)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_367_zero__less__power])]) ).
fof(i_0_1493,plain,
! [X2343,X2344] :
( ~ ord_less_eq_nat(zero_zero_nat,X2344)
| ord_less_eq_nat(zero_zero_nat,power_power_nat(X2344,X2343)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_361_zero__le__power])]) ).
fof(i_0_1494,plain,
! [X2573,X2574] :
( ~ ord_less_eq_nat(one_one_nat,X2574)
| ord_less_eq_nat(one_one_nat,power_power_nat(X2574,X2573)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_484_one__le__power])]) ).
fof(i_0_1495,plain,
! [X2356,X2357] :
( ~ ord_less_real(zero_zero_real,X2357)
| ord_less_real(zero_zero_real,power_power_real(X2357,X2356)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_366_zero__less__power])]) ).
fof(i_0_1496,plain,
! [X2341,X2342] :
( ~ ord_less_eq_real(zero_zero_real,X2342)
| ord_less_eq_real(zero_zero_real,power_power_real(X2342,X2341)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_360_zero__le__power])]) ).
fof(i_0_1497,plain,
! [X2571,X2572] :
( ~ ord_less_eq_real(one_one_real,X2572)
| ord_less_eq_real(one_one_real,power_power_real(X2572,X2571)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_483_one__le__power])]) ).
cnf(i_0_1498,plain,
( ord_less_int(pls,bit0(X1))
| ~ ord_less_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_898]) ).
cnf(i_0_1499,plain,
( ord_less_int(min,bit0(X1))
| ~ ord_less_int(min,X1) ),
inference(split_conjunct,[status(thm)],[i_0_899]) ).
fof(i_0_1500,plain,
! [X2360,X2361] :
( ~ ord_less_int(zero_zero_int,X2361)
| ord_less_int(zero_zero_int,power_power_int(X2361,X2360)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_368_zero__less__power])]) ).
cnf(i_0_1501,plain,
( ord_less_eq_int(pls,bit0(X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_901]) ).
cnf(i_0_1502,plain,
( ord_less_eq_int(min,bit0(X1))
| ~ ord_less_int(min,X1) ),
inference(split_conjunct,[status(thm)],[i_0_900]) ).
fof(i_0_1503,plain,
! [X3025,X3026] :
( ~ ord_less_eq_int(zero_zero_int,X3026)
| ord_less_eq_int(zero_zero_int,power_power_int(X3026,X3025)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_695_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J])]) ).
fof(i_0_1504,plain,
! [X2345,X2346] :
( ~ ord_less_eq_int(zero_zero_int,X2346)
| ord_less_eq_int(zero_zero_int,power_power_int(X2346,X2345)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_362_zero__le__power])]) ).
fof(i_0_1505,plain,
! [X2575,X2576] :
( ~ ord_less_eq_int(one_one_int,X2576)
| ord_less_eq_int(one_one_int,power_power_int(X2576,X2575)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_485_one__le__power])]) ).
fof(i_0_1506,plain,
! [X2473,X2474] :
( ( X2474 = one_one_int
| times_times_int(X2474,X2473) != one_one_int
| ~ ord_less_int(zero_zero_int,X2474)
| ~ is_int(X2473)
| ~ is_int(X2474) )
& ( X2473 = one_one_int
| times_times_int(X2474,X2473) != one_one_int
| ~ ord_less_int(zero_zero_int,X2474)
| ~ is_int(X2473)
| ~ is_int(X2474) )
& ( X2474 != one_one_int
| X2473 != one_one_int
| times_times_int(X2474,X2473) = one_one_int
| ~ ord_less_int(zero_zero_int,X2474)
| ~ is_int(X2473)
| ~ is_int(X2474) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_425_pos__zmult__eq__1__iff])])]) ).
cnf(i_0_1507,plain,
bit1(X1) != pls,
inference(split_conjunct,[status(thm)],[i_0_916]) ).
fof(i_0_1508,plain,
! [X2432] : plus_plus_int(plus_plus_int(one_one_int,X2432),X2432) != zero_zero_int,
inference(variable_rename,[status(thm)],[fact_403_odd__nonzero]) ).
cnf(i_0_1509,plain,
pls != bit1(X1),
inference(split_conjunct,[status(thm)],[i_0_917]) ).
fof(i_0_1510,plain,
! [X2308,X2309] :
( ~ dvd_dvd_int(X2308,X2309)
| ~ ord_less_int(zero_zero_int,X2309)
| ord_less_eq_int(X2308,X2309) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_335_zdvd__imp__le])]) ).
fof(i_0_1511,plain,
! [X1737,X1738] :
( ( ~ ord_less_real(number267125858f_real(X1737),number267125858f_real(X1738))
| ord_less_int(X1737,X1738) )
& ( ~ ord_less_int(X1737,X1738)
| ord_less_real(number267125858f_real(X1737),number267125858f_real(X1738)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_51_less__number__of])]) ).
fof(i_0_1512,plain,
! [X1779,X1780] :
( ( ~ ord_less_int(number_number_of_int(X1779),number_number_of_int(X1780))
| ord_less_int(X1779,X1780) )
& ( ~ ord_less_int(X1779,X1780)
| ord_less_int(number_number_of_int(X1779),number_number_of_int(X1780)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_73_less__number__of__int__code])]) ).
fof(i_0_1513,plain,
! [X1739,X1740] :
( ( ~ ord_less_int(number_number_of_int(X1739),number_number_of_int(X1740))
| ord_less_int(X1739,X1740) )
& ( ~ ord_less_int(X1739,X1740)
| ord_less_int(number_number_of_int(X1739),number_number_of_int(X1740)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_52_less__number__of])]) ).
fof(i_0_1514,plain,
! [X1741,X1742] :
( ( ~ ord_less_eq_real(number267125858f_real(X1741),number267125858f_real(X1742))
| ord_less_eq_int(X1741,X1742) )
& ( ~ ord_less_eq_int(X1741,X1742)
| ord_less_eq_real(number267125858f_real(X1741),number267125858f_real(X1742)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_le__number__of])]) ).
fof(i_0_1515,plain,
! [X1781,X1782] :
( ( ~ ord_less_eq_int(number_number_of_int(X1781),number_number_of_int(X1782))
| ord_less_eq_int(X1781,X1782) )
& ( ~ ord_less_eq_int(X1781,X1782)
| ord_less_eq_int(number_number_of_int(X1781),number_number_of_int(X1782)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_74_less__eq__number__of__int__code])]) ).
fof(i_0_1516,plain,
! [X1743,X1744] :
( ( ~ ord_less_eq_int(number_number_of_int(X1743),number_number_of_int(X1744))
| ord_less_eq_int(X1743,X1744) )
& ( ~ ord_less_eq_int(X1743,X1744)
| ord_less_eq_int(number_number_of_int(X1743),number_number_of_int(X1744)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_54_le__number__of])]) ).
fof(i_0_1517,plain,
! [X2149,X2150] : times_times_real(number267125858f_real(X2149),number267125858f_real(X2150)) = number267125858f_real(times_times_int(X2149,X2150)),
inference(variable_rename,[status(thm)],[fact_239_arith__simps_I32_J]) ).
fof(i_0_1518,plain,
! [X2163,X2164] : plus_plus_real(number267125858f_real(X2163),number267125858f_real(X2164)) = number267125858f_real(plus_plus_int(X2163,X2164)),
inference(variable_rename,[status(thm)],[fact_245_add__number__of__eq]) ).
fof(i_0_1519,plain,
! [X2151,X2152] : times_times_int(number_number_of_int(X2151),number_number_of_int(X2152)) = number_number_of_int(times_times_int(X2151,X2152)),
inference(variable_rename,[status(thm)],[fact_240_arith__simps_I32_J]) ).
fof(i_0_1520,plain,
! [X2083,X2084] : times_times_int(number_number_of_int(X2083),number_number_of_int(X2084)) = number_number_of_int(times_times_int(X2083,X2084)),
inference(variable_rename,[status(thm)],[fact_207_times__numeral__code_I5_J]) ).
fof(i_0_1521,plain,
! [X2165,X2166] : plus_plus_int(number_number_of_int(X2165),number_number_of_int(X2166)) = number_number_of_int(plus_plus_int(X2165,X2166)),
inference(variable_rename,[status(thm)],[fact_246_add__number__of__eq]) ).
fof(i_0_1522,plain,
! [X2091,X2092] : plus_plus_int(number_number_of_int(X2091),number_number_of_int(X2092)) = number_number_of_int(plus_plus_int(X2091,X2092)),
inference(variable_rename,[status(thm)],[fact_210_plus__numeral__code_I9_J]) ).
fof(i_0_1523,plain,
! [X2153,X2154] : number267125858f_real(times_times_int(X2153,X2154)) = times_times_real(number267125858f_real(X2153),number267125858f_real(X2154)),
inference(variable_rename,[status(thm)],[fact_241_number__of__mult]) ).
fof(i_0_1524,plain,
! [X2167,X2168] : number267125858f_real(plus_plus_int(X2167,X2168)) = plus_plus_real(number267125858f_real(X2167),number267125858f_real(X2168)),
inference(variable_rename,[status(thm)],[fact_247_number__of__add]) ).
fof(i_0_1525,plain,
! [X2155,X2156] : number_number_of_int(times_times_int(X2155,X2156)) = times_times_int(number_number_of_int(X2155),number_number_of_int(X2156)),
inference(variable_rename,[status(thm)],[fact_242_number__of__mult]) ).
fof(i_0_1526,plain,
! [X2169,X2170] : number_number_of_int(plus_plus_int(X2169,X2170)) = plus_plus_int(number_number_of_int(X2169),number_number_of_int(X2170)),
inference(variable_rename,[status(thm)],[fact_248_number__of__add]) ).
fof(i_0_1527,plain,
! [X2780,X2781] : number_number_of_int(minus_minus_int(X2780,X2781)) = minus_minus_int(number_number_of_int(X2780),number_number_of_int(X2781)),
inference(variable_rename,[status(thm)],[fact_598_number__of__diff]) ).
fof(i_0_1528,plain,
! [X2484] :
( ~ ord_less_eq_int(zero_zero_int,X2484)
| ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X2484)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_435_le__imp__0__less])]) ).
fof(i_0_1529,plain,
! [X2687,X2688] : zcong(X2687,X2687,X2688),
inference(variable_rename,[status(thm)],[fact_558_zcong__refl]) ).
fof(i_0_1530,plain,
! [X2702,X2703] :
( ~ is_int(X2702)
| ~ is_int(X2703)
| ~ ord_less_eq_int(X2702,X2703)
| X2702 = X2703
| ord_less_int(X2702,X2703) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_565_order__le__neq__implies__less])]) ).
fof(i_0_1531,plain,
! [X1707,X1708] :
( ( ord_less_eq_int(X1707,X1708)
| ~ ord_less_int(X1707,X1708)
| ~ is_int(X1707)
| ~ is_int(X1708) )
& ( X1707 != X1708
| ~ ord_less_int(X1707,X1708)
| ~ is_int(X1707)
| ~ is_int(X1708) )
& ( ~ ord_less_eq_int(X1707,X1708)
| X1707 = X1708
| ord_less_int(X1707,X1708)
| ~ is_int(X1707)
| ~ is_int(X1708) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_37_zless__le])])]) ).
fof(i_0_1532,plain,
! [X2853] : zcong(X2853,zero_zero_int,X2853),
inference(variable_rename,[status(thm)],[fact_631_zcong__id]) ).
fof(i_0_1533,plain,
! [X2709,X2710] : zcong(X2709,X2710,one_one_int),
inference(variable_rename,[status(thm)],[fact_568_zcong__1]) ).
fof(i_0_1534,plain,
! [X2892,X2893] :
( ~ dvd_dvd_int(X2892,X2893)
| ord_less_eq_int(X2893,zero_zero_int)
| ord_less_eq_int(X2892,X2893) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_644_zdvd__bounds])]) ).
fof(i_0_1535,plain,
! [X2959,X2960,X2961] :
( ( times_times_real(X2959,X2961) != times_times_real(X2960,X2961)
| X2959 = X2960
| X2961 = zero_zero_real )
& ( X2959 != X2960
| times_times_real(X2959,X2961) = times_times_real(X2960,X2961)
| X2961 = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_670_real__mult__right__cancel])])]) ).
fof(i_0_1536,plain,
! [X2956,X2957,X2958] :
( ( times_times_real(X2958,X2956) != times_times_real(X2958,X2957)
| X2956 = X2957
| X2958 = zero_zero_real )
& ( X2956 != X2957
| times_times_real(X2958,X2956) = times_times_real(X2958,X2957)
| X2958 = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_669_real__mult__left__cancel])])]) ).
fof(i_0_1537,plain,
! [X2137] : plus_plus_nat(X2137,X2137) = times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),X2137),
inference(variable_rename,[status(thm)],[fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(i_0_1538,plain,
! [X2136] : plus_plus_real(X2136,X2136) = times_times_real(plus_plus_real(one_one_real,one_one_real),X2136),
inference(variable_rename,[status(thm)],[fact_230_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(i_0_1539,plain,
! [X2138] : plus_plus_int(X2138,X2138) = times_times_int(plus_plus_int(one_one_int,one_one_int),X2138),
inference(variable_rename,[status(thm)],[fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(i_0_1540,plain,
! [X2831,X2832] :
( ( ~ dvd_dvd_nat(X2831,X2832)
| ~ dvd_dvd_nat(X2832,X2831)
| X2831 = X2832 )
& ( dvd_dvd_nat(X2831,X2832)
| X2831 != X2832 )
& ( dvd_dvd_nat(X2832,X2831)
| X2831 != X2832 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_623_divides__antisym])])]) ).
fof(i_0_1541,plain,
! [X3013,X3014] :
( ~ ord_less_eq_real(X3013,X3014)
| ~ ord_less_eq_real(X3014,X3013)
| X3013 = X3014 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_687_real__le__antisym])]) ).
cnf(i_0_1542,plain,
( bit1(X1) = min
| X1 != min
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_912]) ).
cnf(i_0_1543,plain,
( min = bit1(X1)
| min != X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_911]) ).
fof(i_0_1544,plain,
! [X2738,X2739] :
( ( X2738 = zero_zero_int
| power_power_int(X2738,number_number_of_nat(X2739)) != zero_zero_int
| ~ is_int(X2738) )
& ( number_number_of_nat(X2739) != zero_zero_nat
| power_power_int(X2738,number_number_of_nat(X2739)) != zero_zero_int
| ~ is_int(X2738) )
& ( X2738 != zero_zero_int
| number_number_of_nat(X2739) = zero_zero_nat
| power_power_int(X2738,number_number_of_nat(X2739)) = zero_zero_int
| ~ is_int(X2738) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_578_power__eq__0__iff__number__of])])]) ).
fof(i_0_1545,plain,
! [X2856,X2857,X2858] :
( ~ is_int(X2856)
| minus_minus_int(X2856,X2857) != X2858
| X2856 = plus_plus_int(X2858,X2857) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_633_Int2_Oaux1])]) ).
fof(i_0_1546,plain,
! [X1709,X1710] :
( ~ is_int(X1709)
| ~ is_int(X1710)
| ord_less_int(X1709,X1710)
| X1709 = X1710
| ord_less_int(X1710,X1709) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_38_zless__linear])]) ).
fof(i_0_1547,plain,
! [X1807,X1808] :
( ~ twoSqu142715416sum2sq(X1808)
| ~ twoSqu142715416sum2sq(X1807)
| twoSqu142715416sum2sq(times_times_int(X1808,X1807)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_90_is__mult__sum2sq])]) ).
fof(i_0_1548,plain,
! [X1666,X1667] :
( ~ is_int(X1666)
| ~ is_int(X1667)
| is_int(legendre(X1666,X1667)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Residues_OLegendre])]) ).
fof(i_0_1549,hypothesis,
! [X1659,X1660] :
( ~ is_int(X1659)
| ~ is_int(X1660)
| is_int(times_times_int(X1659,X1660)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Groups_Otimes__class_Otimes_000tc__Int__Oint])]) ).
fof(i_0_1550,hypothesis,
! [X1657,X1658] :
( ~ is_int(X1657)
| ~ is_int(X1658)
| is_int(plus_plus_int(X1657,X1658)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint])]) ).
fof(i_0_1551,plain,
! [X1655,X1656] :
( ~ is_int(X1655)
| ~ is_int(X1656)
| is_int(minus_minus_int(X1655,X1656)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Groups_Ominus__class_Ominus_000tc__Int__Oint])]) ).
fof(i_0_1552,plain,
! [X2681] :
( ( ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X2681))
| ord_less_int(pls,X2681) )
& ( ~ ord_less_int(pls,X2681)
| ord_less_nat(zero_zero_nat,number_number_of_nat(X2681)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_554_less__0__number__of])]) ).
fof(i_0_1553,plain,
! [X2476] :
( ( ~ ord_less_real(zero_zero_real,number267125858f_real(X2476))
| ord_less_int(pls,X2476) )
& ( ~ ord_less_int(pls,X2476)
| ord_less_real(zero_zero_real,number267125858f_real(X2476)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_427_less__special_I1_J])]) ).
fof(i_0_1554,plain,
! [X2477] :
( ( ~ ord_less_int(zero_zero_int,number_number_of_int(X2477))
| ord_less_int(pls,X2477) )
& ( ~ ord_less_int(pls,X2477)
| ord_less_int(zero_zero_int,number_number_of_int(X2477)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_428_less__special_I1_J])]) ).
fof(i_0_1555,plain,
! [X2480] :
( ( ~ ord_less_eq_real(zero_zero_real,number267125858f_real(X2480))
| ord_less_eq_int(pls,X2480) )
& ( ~ ord_less_eq_int(pls,X2480)
| ord_less_eq_real(zero_zero_real,number267125858f_real(X2480)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_431_le__special_I1_J])]) ).
fof(i_0_1556,plain,
! [X2481] :
( ( ~ ord_less_eq_int(zero_zero_int,number_number_of_int(X2481))
| ord_less_eq_int(pls,X2481) )
& ( ~ ord_less_eq_int(pls,X2481)
| ord_less_eq_int(zero_zero_int,number_number_of_int(X2481)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_432_le__special_I1_J])]) ).
fof(i_0_1557,plain,
! [X2478] :
( ( ~ ord_less_real(number267125858f_real(X2478),zero_zero_real)
| ord_less_int(X2478,pls) )
& ( ~ ord_less_int(X2478,pls)
| ord_less_real(number267125858f_real(X2478),zero_zero_real) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_429_less__special_I3_J])]) ).
fof(i_0_1558,plain,
! [X2479] :
( ( ~ ord_less_int(number_number_of_int(X2479),zero_zero_int)
| ord_less_int(X2479,pls) )
& ( ~ ord_less_int(X2479,pls)
| ord_less_int(number_number_of_int(X2479),zero_zero_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_430_less__special_I3_J])]) ).
fof(i_0_1559,plain,
! [X2482] :
( ( ~ ord_less_eq_real(number267125858f_real(X2482),zero_zero_real)
| ord_less_eq_int(X2482,pls) )
& ( ~ ord_less_eq_int(X2482,pls)
| ord_less_eq_real(number267125858f_real(X2482),zero_zero_real) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_433_le__special_I3_J])]) ).
fof(i_0_1560,plain,
! [X2483] :
( ( ~ ord_less_eq_int(number_number_of_int(X2483),zero_zero_int)
| ord_less_eq_int(X2483,pls) )
& ( ~ ord_less_eq_int(X2483,pls)
| ord_less_eq_int(number_number_of_int(X2483),zero_zero_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_434_le__special_I3_J])]) ).
fof(i_0_1561,plain,
! [X2667,X2668] :
( ( X2667 = number_number_of_int(min)
| X2667 = one_one_int
| times_times_int(X2667,X2668) != one_one_int
| ~ is_int(X2667)
| ~ is_int(X2668) )
& ( X2668 = number_number_of_int(min)
| X2667 = one_one_int
| times_times_int(X2667,X2668) != one_one_int
| ~ is_int(X2667)
| ~ is_int(X2668) )
& ( X2667 = number_number_of_int(min)
| X2668 = one_one_int
| times_times_int(X2667,X2668) != one_one_int
| ~ is_int(X2667)
| ~ is_int(X2668) )
& ( X2668 = number_number_of_int(min)
| X2668 = one_one_int
| times_times_int(X2667,X2668) != one_one_int
| ~ is_int(X2667)
| ~ is_int(X2668) )
& ( X2667 != one_one_int
| X2668 != one_one_int
| times_times_int(X2667,X2668) = one_one_int
| ~ is_int(X2667)
| ~ is_int(X2668) )
& ( X2667 != number_number_of_int(min)
| X2668 != number_number_of_int(min)
| times_times_int(X2667,X2668) = one_one_int
| ~ is_int(X2667)
| ~ is_int(X2668) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_547_zmult__eq__1__iff])])]) ).
fof(i_0_1562,plain,
! [X2335,X2336] :
( ( X2335 != plus_plus_int(X2335,X2336)
| X2336 = zero_zero_int
| ~ is_int(X2335)
| ~ is_int(X2336) )
& ( X2336 != zero_zero_int
| X2335 = plus_plus_int(X2335,X2336)
| ~ is_int(X2335)
| ~ is_int(X2336) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_353_add__0__iff])])]) ).
fof(i_0_1563,plain,
! [X2736,X2737] :
( ( X2736 = zero_zero_nat
| power_power_nat(X2736,number_number_of_nat(X2737)) != zero_zero_nat )
& ( number_number_of_nat(X2737) != zero_zero_nat
| power_power_nat(X2736,number_number_of_nat(X2737)) != zero_zero_nat )
& ( X2736 != zero_zero_nat
| number_number_of_nat(X2737) = zero_zero_nat
| power_power_nat(X2736,number_number_of_nat(X2737)) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_577_power__eq__0__iff__number__of])])]) ).
fof(i_0_1564,plain,
! [X2734,X2735] :
( ( X2734 = zero_zero_real
| power_power_real(X2734,number_number_of_nat(X2735)) != zero_zero_real )
& ( number_number_of_nat(X2735) != zero_zero_nat
| power_power_real(X2734,number_number_of_nat(X2735)) != zero_zero_real )
& ( X2734 != zero_zero_real
| number_number_of_nat(X2735) = zero_zero_nat
| power_power_real(X2734,number_number_of_nat(X2735)) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_576_power__eq__0__iff__number__of])])]) ).
fof(i_0_1565,plain,
! [X2700,X2701] :
( ~ ord_less_eq_nat(X2700,X2701)
| X2700 = X2701
| ord_less_nat(X2700,X2701) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_564_order__le__neq__implies__less])]) ).
fof(i_0_1566,plain,
! [X2945,X2946] :
( ( ~ ord_less_eq_real(X2945,X2946)
| ord_less_real(X2945,X2946)
| X2945 = X2946 )
& ( ~ ord_less_real(X2945,X2946)
| ord_less_eq_real(X2945,X2946) )
& ( X2945 != X2946
| ord_less_eq_real(X2945,X2946) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_664_less__eq__real__def])])]) ).
fof(i_0_1567,plain,
! [X2943,X2944] :
( ( ord_less_eq_real(X2943,X2944)
| ~ ord_less_real(X2943,X2944) )
& ( X2943 != X2944
| ~ ord_less_real(X2943,X2944) )
& ( ~ ord_less_eq_real(X2943,X2944)
| X2943 = X2944
| ord_less_real(X2943,X2944) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_663_real__less__def])])]) ).
fof(i_0_1568,plain,
! [X2698,X2699] :
( ~ ord_less_eq_real(X2698,X2699)
| X2698 = X2699
| ord_less_real(X2698,X2699) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_563_order__le__neq__implies__less])]) ).
fof(i_0_1569,plain,
! [X2882,X2883] :
( ~ dvd_dvd_nat(X2882,X2883)
| X2883 = zero_zero_nat
| ord_less_eq_nat(X2882,X2883) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_640_divides__ge])]) ).
fof(i_0_1570,hypothesis,
! [X1664,X1665] :
( ~ is_int(X1664)
| is_int(power_power_int(X1664,X1665)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Power_Opower__class_Opower_000tc__Int__Oint])]) ).
cnf(i_0_1571,hypothesis,
( is_int(bit0(X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_918]) ).
fof(i_0_1572,plain,
! [X2822] :
( power_power_int(number_number_of_int(min),X2822) = one_one_int
| power_power_int(number_number_of_int(min),X2822) = number_number_of_int(min) ),
inference(variable_rename,[status(thm)],[fact_617_neg__one__power]) ).
fof(i_0_1573,plain,
! [X2665,X2666] :
( ~ is_int(X2665)
| times_times_int(X2665,X2666) != one_one_int
| X2665 = one_one_int
| X2665 = number_number_of_int(min) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_546_pos__zmult__eq__1__iff__lemma])]) ).
fof(i_0_1574,plain,
! [X2472] :
( ( ~ ord_less_eq_int(one_one_int,X2472)
| ord_less_int(zero_zero_int,X2472) )
& ( ~ ord_less_int(zero_zero_int,X2472)
| ord_less_eq_int(one_one_int,X2472) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_424_int__one__le__iff__zero__less])]) ).
cnf(i_0_1575,plain,
bit1(min) = min,
inference(split_conjunct,[status(thm)],[fact_515_Bit1__Min]) ).
fof(i_0_1576,plain,
! [X2241,X2242] :
( ( X2241 = zero_zero_int
| power_power_int(X2241,X2242) != zero_zero_int
| ~ is_int(X2241) )
& ( X2242 != zero_zero_nat
| power_power_int(X2241,X2242) != zero_zero_int
| ~ is_int(X2241) )
& ( X2241 != zero_zero_int
| X2242 = zero_zero_nat
| power_power_int(X2241,X2242) = zero_zero_int
| ~ is_int(X2241) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_311_power__eq__0__iff])])]) ).
cnf(i_0_1577,plain,
( pls = X1
| pls != bit0(X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_919]) ).
cnf(i_0_1578,plain,
( X1 = pls
| bit0(X1) != pls
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_920]) ).
fof(i_0_1579,plain,
! [X2303,X2304] :
( ~ is_int(X2304)
| X2304 = zero_zero_int
| power_power_int(X2304,X2303) != zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_331_field__power__not__zero])]) ).
fof(i_0_1580,plain,
! [X2338] :
( ( plus_plus_int(X2338,X2338) != zero_zero_int
| X2338 = zero_zero_int
| ~ is_int(X2338) )
& ( X2338 != zero_zero_int
| plus_plus_int(X2338,X2338) = zero_zero_int
| ~ is_int(X2338) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_355_double__eq__0__iff])])]) ).
fof(i_0_1581,plain,
! [X1941,X1942] :
( ( number267125858f_real(X1941) != number267125858f_real(X1942)
| X1941 = X1942
| ~ is_int(X1941)
| ~ is_int(X1942) )
& ( X1941 != X1942
| number267125858f_real(X1941) = number267125858f_real(X1942)
| ~ is_int(X1941)
| ~ is_int(X1942) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_133_eq__number__of])])]) ).
fof(i_0_1582,plain,
! [X1943,X1944] :
( ( number_number_of_int(X1943) != number_number_of_int(X1944)
| X1943 = X1944
| ~ is_int(X1943)
| ~ is_int(X1944) )
& ( X1943 != X1944
| number_number_of_int(X1943) = number_number_of_int(X1944)
| ~ is_int(X1943)
| ~ is_int(X1944) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_134_eq__number__of])])]) ).
fof(i_0_1583,plain,
! [X3018,X3019] :
( ord_less_eq_real(X3018,X3019)
| ord_less_eq_real(X3019,X3018) ),
inference(variable_rename,[status(thm)],[fact_689_real__le__linear]) ).
fof(i_0_1584,plain,
! [X1705,X1706] :
( ord_less_eq_int(X1705,X1706)
| ord_less_eq_int(X1706,X1705) ),
inference(variable_rename,[status(thm)],[fact_36_zle__linear]) ).
fof(i_0_1585,plain,
! [X1883,X1884] : times_times_nat(X1883,X1884) = times_times_nat(X1884,X1883),
inference(variable_rename,[status(thm)],[fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
fof(i_0_1586,plain,
! [X1937,X1938] : plus_plus_nat(X1937,X1938) = plus_plus_nat(X1938,X1937),
inference(variable_rename,[status(thm)],[fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
fof(i_0_1587,plain,
! [X2948,X2949] : times_times_real(X2948,X2949) = times_times_real(X2949,X2948),
inference(variable_rename,[status(thm)],[fact_666_real__mult__commute]) ).
fof(i_0_1588,plain,
! [X1881,X1882] : times_times_real(X1881,X1882) = times_times_real(X1882,X1881),
inference(variable_rename,[status(thm)],[fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
fof(i_0_1589,plain,
! [X1935,X1936] : plus_plus_real(X1935,X1936) = plus_plus_real(X1936,X1935),
inference(variable_rename,[status(thm)],[fact_130_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
fof(i_0_1590,plain,
! [X1958,X1959] : times_times_int(X1958,X1959) = times_times_int(X1959,X1958),
inference(variable_rename,[status(thm)],[fact_141_zmult__commute]) ).
fof(i_0_1591,plain,
! [X1885,X1886] : times_times_int(X1885,X1886) = times_times_int(X1886,X1885),
inference(variable_rename,[status(thm)],[fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
fof(i_0_1592,plain,
! [X1967,X1968] : plus_plus_int(X1967,X1968) = plus_plus_int(X1968,X1967),
inference(variable_rename,[status(thm)],[fact_145_zadd__commute]) ).
fof(i_0_1593,plain,
! [X1939,X1940] : plus_plus_int(X1939,X1940) = plus_plus_int(X1940,X1939),
inference(variable_rename,[status(thm)],[fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
fof(i_0_1594,plain,
! [X2750] :
( ( number_number_of_nat(X2750) != zero_zero_nat
| power_power_nat(zero_zero_nat,number_number_of_nat(X2750)) = one_one_nat )
& ( number_number_of_nat(X2750) = zero_zero_nat
| power_power_nat(zero_zero_nat,number_number_of_nat(X2750)) = zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_582_power__0__left__number__of])]) ).
fof(i_0_1595,plain,
! [X2749] :
( ( number_number_of_nat(X2749) != zero_zero_nat
| power_power_real(zero_zero_real,number_number_of_nat(X2749)) = one_one_real )
& ( number_number_of_nat(X2749) = zero_zero_nat
| power_power_real(zero_zero_real,number_number_of_nat(X2749)) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_581_power__0__left__number__of])]) ).
fof(i_0_1596,plain,
! [X2751] :
( ( number_number_of_nat(X2751) != zero_zero_nat
| power_power_int(zero_zero_int,number_number_of_nat(X2751)) = one_one_int )
& ( number_number_of_nat(X2751) = zero_zero_nat
| power_power_int(zero_zero_int,number_number_of_nat(X2751)) = zero_zero_int ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_583_power__0__left__number__of])]) ).
fof(i_0_1597,plain,
! [X2904,X2905] :
( ( power_power_nat(X2904,X2905) != one_one_nat
| X2904 = one_one_nat
| X2905 = zero_zero_nat )
& ( X2904 != one_one_nat
| power_power_nat(X2904,X2905) = one_one_nat )
& ( X2905 != zero_zero_nat
| power_power_nat(X2904,X2905) = one_one_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_649_exp__eq__1])])]) ).
fof(i_0_1598,plain,
! [X2140] :
( ~ is_int(X2140)
| plus_plus_int(number_number_of_int(pls),X2140) = X2140 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_234_add__numeral__0])]) ).
fof(i_0_1599,plain,
! [X2142] :
( ~ is_int(X2142)
| plus_plus_int(X2142,number_number_of_int(pls)) = X2142 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_236_add__numeral__0__right])]) ).
fof(i_0_1600,plain,
! [X2333,X2334] :
( ( X2333 != plus_plus_nat(X2333,X2334)
| X2334 = zero_zero_nat )
& ( X2334 != zero_zero_nat
| X2333 = plus_plus_nat(X2333,X2334) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_352_add__0__iff])]) ).
fof(i_0_1601,plain,
! [X2331,X2332] :
( ( X2331 != plus_plus_real(X2331,X2332)
| X2332 = zero_zero_real )
& ( X2332 != zero_zero_real
| X2331 = plus_plus_real(X2331,X2332) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_351_add__0__iff])]) ).
fof(i_0_1602,plain,
! [X2873,X2874] :
( ( X2874 != zero_zero_nat
| power_power_nat(X2873,X2874) != zero_zero_nat )
& ( X2873 = zero_zero_nat
| power_power_nat(X2873,X2874) != zero_zero_nat )
& ( X2874 = zero_zero_nat
| X2873 != zero_zero_nat
| power_power_nat(X2873,X2874) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_637_nat__power__eq__0__iff])])]) ).
fof(i_0_1603,plain,
! [X2239,X2240] :
( ( X2239 = zero_zero_nat
| power_power_nat(X2239,X2240) != zero_zero_nat )
& ( X2240 != zero_zero_nat
| power_power_nat(X2239,X2240) != zero_zero_nat )
& ( X2239 != zero_zero_nat
| X2240 = zero_zero_nat
| power_power_nat(X2239,X2240) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_310_power__eq__0__iff])])]) ).
fof(i_0_1604,plain,
! [X2237,X2238] :
( ( X2237 = zero_zero_real
| power_power_real(X2237,X2238) != zero_zero_real )
& ( X2238 != zero_zero_nat
| power_power_real(X2237,X2238) != zero_zero_real )
& ( X2237 != zero_zero_real
| X2238 = zero_zero_nat
| power_power_real(X2237,X2238) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_309_power__eq__0__iff])])]) ).
fof(i_0_1605,plain,
! [X2682] :
( ( number_number_of_nat(X2682) != zero_zero_nat
| ord_less_eq_int(X2682,pls) )
& ( ~ ord_less_eq_int(X2682,pls)
| number_number_of_nat(X2682) = zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_555_eq__number__of__0])]) ).
fof(i_0_1606,plain,
! [X2683] :
( ( zero_zero_nat != number_number_of_nat(X2683)
| ord_less_eq_int(X2683,pls) )
& ( ~ ord_less_eq_int(X2683,pls)
| zero_zero_nat = number_number_of_nat(X2683) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_556_eq__0__number__of])]) ).
fof(i_0_1607,plain,
! [X2301,X2302] :
( X2302 = zero_zero_real
| power_power_real(X2302,X2301) != zero_zero_real ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_330_field__power__not__zero])]) ).
fof(i_0_1608,plain,
! [X2337] :
( ( plus_plus_real(X2337,X2337) != zero_zero_real
| X2337 = zero_zero_real )
& ( X2337 != zero_zero_real
| plus_plus_real(X2337,X2337) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_354_double__eq__0__iff])]) ).
fof(i_0_1609,plain,
! [X2854,X2855] :
( ( X2854 = one_one_nat
| times_times_nat(X2854,X2855) != one_one_nat )
& ( X2855 = one_one_nat
| times_times_nat(X2854,X2855) != one_one_nat )
& ( X2854 != one_one_nat
| X2855 != one_one_nat
| times_times_nat(X2854,X2855) = one_one_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_632_nat__mult__eq__one])])]) ).
cnf(i_0_1610,plain,
( bit0(X1) = pls
| X1 != pls
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_920]) ).
cnf(i_0_1611,plain,
( pls = bit0(X1)
| pls != X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_919]) ).
cnf(i_0_1612,plain,
bit0(X1) != min,
inference(split_conjunct,[status(thm)],[i_0_921]) ).
cnf(i_0_1613,plain,
min != bit0(X1),
inference(split_conjunct,[status(thm)],[i_0_922]) ).
fof(i_0_1614,plain,
! [X2082] :
( ~ is_int(X2082)
| times_times_int(one_one_int,X2082) = X2082 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_206_zmult__1])]) ).
fof(i_0_1615,plain,
! [X2055] :
( ~ is_int(X2055)
| times_times_int(one_one_int,X2055) = X2055 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])]) ).
fof(i_0_1616,plain,
! [X2077] :
( ~ is_int(X2077)
| plus_plus_int(pls,X2077) = X2077 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_202_add__Pls])]) ).
fof(i_0_1617,plain,
! [X2339] :
( ~ is_int(X2339)
| plus_plus_int(zero_zero_int,X2339) = X2339 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_358_zadd__0])]) ).
fof(i_0_1618,plain,
! [X2327] :
( ~ is_int(X2327)
| plus_plus_int(zero_zero_int,X2327) = X2327 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J])]) ).
fof(i_0_1619,plain,
! [X2471] :
( ~ is_int(X2471)
| power_power_int(X2471,one_one_nat) = X2471 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_423_power__one__right])]) ).
fof(i_0_1620,plain,
! [X1727] :
( ~ is_int(X1727)
| power_power_int(X1727,one_one_nat) = X1727 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_46_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])]) ).
fof(i_0_1621,plain,
! [X2081] :
( ~ is_int(X2081)
| times_times_int(X2081,one_one_int) = X2081 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_205_zmult__1__right])]) ).
fof(i_0_1622,plain,
! [X2052] :
( ~ is_int(X2052)
| times_times_int(X2052,one_one_int) = X2052 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_185_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])]) ).
fof(i_0_1623,plain,
! [X2076] :
( ~ is_int(X2076)
| plus_plus_int(X2076,pls) = X2076 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_201_add__Pls__right])]) ).
fof(i_0_1624,plain,
! [X2340] :
( ~ is_int(X2340)
| plus_plus_int(X2340,zero_zero_int) = X2340 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_359_zadd__0__right])]) ).
fof(i_0_1625,plain,
! [X2330] :
( ~ is_int(X2330)
| plus_plus_int(X2330,zero_zero_int) = X2330 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])]) ).
fof(i_0_1626,plain,
! [X2768] :
( ~ is_int(X2768)
| minus_minus_int(X2768,pls) = X2768 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_593_diff__bin__simps_I1_J])]) ).
fof(i_0_1627,plain,
! [X2139] : plus_plus_real(number267125858f_real(pls),X2139) = X2139,
inference(variable_rename,[status(thm)],[fact_233_add__numeral__0]) ).
fof(i_0_1628,plain,
! [X2141] : plus_plus_real(X2141,number267125858f_real(pls)) = X2141,
inference(variable_rename,[status(thm)],[fact_235_add__numeral__0__right]) ).
fof(i_0_1629,plain,
~ ord_less_int(pls,pls),
inference(fof_simplification,[status(thm)],[fact_67_rel__simps_I2_J]) ).
fof(i_0_1630,plain,
~ ord_less_int(pls,min),
inference(fof_simplification,[status(thm)],[fact_525_rel__simps_I3_J]) ).
fof(i_0_1631,plain,
~ ord_less_int(pls,zero_zero_int),
inference(fof_simplification,[status(thm)],[fact_397_bin__less__0__simps_I1_J]) ).
fof(i_0_1632,plain,
~ ord_less_int(min,min),
inference(fof_simplification,[status(thm)],[fact_520_rel__simps_I7_J]) ).
fof(i_0_1633,plain,
~ ord_less_eq_int(pls,min),
inference(fof_simplification,[status(thm)],[fact_531_rel__simps_I20_J]) ).
fof(i_0_1634,hypothesis,
! [X1663] :
( ~ is_int(X1663)
| is_int(number_number_of_int(X1663)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Int_Onumber__class_Onumber__of_000tc__Int__Oint])]) ).
fof(i_0_1635,plain,
! [X2306] :
( ( X2306 != zero_zero_nat
| power_power_nat(zero_zero_nat,X2306) = one_one_nat )
& ( X2306 = zero_zero_nat
| power_power_nat(zero_zero_nat,X2306) = zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_333_power__0__left])]) ).
fof(i_0_1636,plain,
! [X2305] :
( ( X2305 != zero_zero_nat
| power_power_real(zero_zero_real,X2305) = one_one_real )
& ( X2305 = zero_zero_nat
| power_power_real(zero_zero_real,X2305) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_332_power__0__left])]) ).
fof(i_0_1637,plain,
! [X2307] :
( ( X2307 != zero_zero_nat
| power_power_int(zero_zero_int,X2307) = one_one_int )
& ( X2307 = zero_zero_nat
| power_power_int(zero_zero_int,X2307) = zero_zero_int ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_334_power__0__left])]) ).
fof(i_0_1638,plain,
! [X3020] : ord_less_eq_real(X3020,X3020),
inference(variable_rename,[status(thm)],[fact_690_real__le__refl]) ).
fof(i_0_1639,plain,
! [X1704] : ord_less_eq_int(X1704,X1704),
inference(variable_rename,[status(thm)],[fact_35_zle__refl]) ).
fof(i_0_1640,plain,
! [X2054] : times_times_nat(one_one_nat,X2054) = X2054,
inference(variable_rename,[status(thm)],[fact_187_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J]) ).
fof(i_0_1641,plain,
! [X2326] : plus_plus_nat(zero_zero_nat,X2326) = X2326,
inference(variable_rename,[status(thm)],[fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J]) ).
fof(i_0_1642,plain,
! [X2947] : times_times_real(one_one_real,X2947) = X2947,
inference(variable_rename,[status(thm)],[fact_665_real__mult__1]) ).
fof(i_0_1643,plain,
! [X2053] : times_times_real(one_one_real,X2053) = X2053,
inference(variable_rename,[status(thm)],[fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J]) ).
fof(i_0_1644,plain,
! [X2325] : plus_plus_real(zero_zero_real,X2325) = X2325,
inference(variable_rename,[status(thm)],[fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J]) ).
fof(i_0_1645,plain,
! [X2051] : times_times_nat(X2051,one_one_nat) = X2051,
inference(variable_rename,[status(thm)],[fact_184_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J]) ).
fof(i_0_1646,plain,
! [X2469] : power_power_nat(X2469,one_one_nat) = X2469,
inference(variable_rename,[status(thm)],[fact_421_power__one__right]) ).
fof(i_0_1647,plain,
! [X1725] : power_power_nat(X1725,one_one_nat) = X1725,
inference(variable_rename,[status(thm)],[fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J]) ).
fof(i_0_1648,plain,
! [X2329] : plus_plus_nat(X2329,zero_zero_nat) = X2329,
inference(variable_rename,[status(thm)],[fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J]) ).
fof(i_0_1649,plain,
! [X2050] : times_times_real(X2050,one_one_real) = X2050,
inference(variable_rename,[status(thm)],[fact_183_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J]) ).
fof(i_0_1650,plain,
! [X2470] : power_power_real(X2470,one_one_nat) = X2470,
inference(variable_rename,[status(thm)],[fact_422_power__one__right]) ).
fof(i_0_1651,plain,
! [X1726] : power_power_real(X1726,one_one_nat) = X1726,
inference(variable_rename,[status(thm)],[fact_45_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J]) ).
fof(i_0_1652,plain,
! [X2328] : plus_plus_real(X2328,zero_zero_real) = X2328,
inference(variable_rename,[status(thm)],[fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J]) ).
fof(i_0_1653,plain,
! [X2320] : times_times_nat(zero_zero_nat,X2320) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_340_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J]) ).
fof(i_0_1654,plain,
! [X2534] : power_power_nat(one_one_nat,X2534) = one_one_nat,
inference(variable_rename,[status(thm)],[fact_465_power__one]) ).
fof(i_0_1655,plain,
! [X2319] : times_times_real(zero_zero_real,X2319) = zero_zero_real,
inference(variable_rename,[status(thm)],[fact_339_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J]) ).
fof(i_0_1656,plain,
! [X2533] : power_power_real(one_one_real,X2533) = one_one_real,
inference(variable_rename,[status(thm)],[fact_464_power__one]) ).
fof(i_0_1657,plain,
! [X2535] : power_power_int(one_one_int,X2535) = one_one_int,
inference(variable_rename,[status(thm)],[fact_466_power__one]) ).
fof(i_0_1658,plain,
! [X2073] : times_times_int(pls,X2073) = pls,
inference(variable_rename,[status(thm)],[fact_199_mult__Pls]) ).
fof(i_0_1659,plain,
! [X2321] : times_times_int(zero_zero_int,X2321) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J]) ).
fof(i_0_1660,plain,
! [X2323] : times_times_nat(X2323,zero_zero_nat) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(i_0_1661,plain,
! [X2661] : power_power_nat(X2661,zero_zero_nat) = one_one_nat,
inference(variable_rename,[status(thm)],[fact_540_power__0]) ).
fof(i_0_1662,plain,
! [X2658] : power_power_nat(X2658,zero_zero_nat) = one_one_nat,
inference(variable_rename,[status(thm)],[fact_537_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J]) ).
fof(i_0_1663,plain,
! [X2322] : times_times_real(X2322,zero_zero_real) = zero_zero_real,
inference(variable_rename,[status(thm)],[fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(i_0_1664,plain,
! [X2660] : power_power_real(X2660,zero_zero_nat) = one_one_real,
inference(variable_rename,[status(thm)],[fact_539_power__0]) ).
fof(i_0_1665,plain,
! [X2657] : power_power_real(X2657,zero_zero_nat) = one_one_real,
inference(variable_rename,[status(thm)],[fact_536_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J]) ).
fof(i_0_1666,plain,
! [X2662] : power_power_int(X2662,zero_zero_nat) = one_one_int,
inference(variable_rename,[status(thm)],[fact_541_power__0]) ).
fof(i_0_1667,plain,
! [X2659] : power_power_int(X2659,zero_zero_nat) = one_one_int,
inference(variable_rename,[status(thm)],[fact_538_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J]) ).
fof(i_0_1668,plain,
! [X2324] : times_times_int(X2324,zero_zero_int) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(i_0_1669,plain,
! [X1960] :
( ~ is_int(X1960)
| number_number_of_int(X1960) = X1960 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_142_number__of__is__id])]) ).
cnf(i_0_1670,plain,
bit0(pls) = pls,
inference(split_conjunct,[status(thm)],[fact_198_Bit0__Pls]) ).
fof(i_0_1671,plain,
! [X1668] : is_int(twoSqu140629262sum2sq(X1668)),
inference(variable_rename,[status(thm)],[gsy_c_TwoSquares__Mirabelle__ccrtsbwhjp_Osum2sq]) ).
cnf(i_0_1672,plain,
power_power_int(plus_plus_int(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),X2)),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_923,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1673,plain,
power_power_int(minus_minus_int(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = minus_minus_int(plus_plus_int(minus_minus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),X2)),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_926,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1674,plain,
( X1 = esk6_0
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(X1,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int))
| ~ zcong(s1,X1,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_927,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1675,plain,
( quadRes(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),number_number_of_int(min))
| legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)) != one_one_int ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_928,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1676,plain,
( legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1),one_one_int)) = one_one_int
| ~ zprime(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1),one_one_int)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_929,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1677,plain,
twoSqu142715416sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_930,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1678,plain,
zcong(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(s1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_931,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1679,plain,
dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),minus_minus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_int(min))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_932,c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1680,plain,
dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_933,c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1681,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_934,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1682,plain,
zcong(power_power_int(esk9_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_935,c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1683,plain,
zcong(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_936,c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1684,plain,
zcong(power_power_int(s1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_937,c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1685,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),esk5_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_938,c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1686,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_939,c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1687,plain,
zcong(s1,esk7_0,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_940,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1688,plain,
zcong(s1,esk6_0,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_941,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1689,plain,
zcong(s1,s,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_942,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1690,plain,
twoSqu140629262sum2sq(product_Pair_int_int(s,one_one_int)) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_943,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1691,plain,
quadRes(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),number_number_of_int(min)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_944,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1692,plain,
legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)) = one_one_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_945,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1693,plain,
ord_less_int(esk7_0,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_946,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1694,plain,
ord_less_int(esk6_0,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_947,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1695,plain,
ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_948,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1696,plain,
ord_less_int(s,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_949,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1697,plain,
ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_950,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1698,plain,
zprime(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_951,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1699,plain,
power_power_int(plus_plus_int(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),X2)),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_952,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1700,plain,
power_power_int(minus_minus_int(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_int(minus_minus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),X2)),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_953,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1701,plain,
power_power_nat(plus_plus_nat(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_nat(plus_plus_nat(power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_nat(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),times_times_nat(times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_954,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1702,plain,
power_power_real(plus_plus_real(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_real(plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_955,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1703,plain,
power_power_real(plus_plus_real(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_real(plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_956,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1704,plain,
power_power_int(plus_plus_int(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_957,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1705,plain,
( X2 != zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1)
| ~ ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_958,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1706,plain,
( X1 = zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1)
| ~ ord_less_eq_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_int) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_959,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1707,plain,
( X1 = zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1)
| ~ ord_less_eq_int(plus_plus_int(power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_int) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_960,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1708,plain,
( X2 != zero_zero_real
| X1 != zero_zero_real
| ~ ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_961,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1709,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_real) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_962,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1710,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_real) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_963,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1711,plain,
~ ord_less_real(plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_real),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_964,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1712,plain,
~ ord_less_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_965,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1713,plain,
( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(esk4_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)
| ~ ord_less_int(one_one_int,t) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_966,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1714,plain,
( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(esk2_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)
| t != one_one_int ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_967,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1715,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = power_power_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_968,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1716,plain,
( ord_less_eq_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_int)
| X2 != zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_969,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1717,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_970,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1718,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_971,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1719,plain,
( ord_less_eq_real(plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),zero_zero_real)
| X2 != zero_zero_real
| X1 != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_972,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1720,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_973,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1721,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_974,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1722,plain,
ord_less_eq_real(zero_zero_real,plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_975,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1723,plain,
ord_less_eq_int(zero_zero_int,plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_976,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1724,plain,
( X1 = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))
| X1 = number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))
| ord_less_eq_int(number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1)
| ~ is_int(X1)
| ~ zprime(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_977,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1725,plain,
power_power_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_978,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1726,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ ord_less_eq_int(power_power_int(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)),zero_zero_int) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_979,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1727,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(power_power_real(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)),zero_zero_real) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_980,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1728,plain,
( ord_less_nat(X1,X2)
| ~ ord_less_eq_nat(zero_zero_nat,X2)
| ~ ord_less_nat(power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_nat(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_981,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1729,plain,
( ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_nat(zero_zero_nat,X2)
| ~ ord_less_eq_nat(power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_nat(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_982,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1730,plain,
( ord_less_real(X1,X2)
| ~ ord_less_eq_real(zero_zero_real,X2)
| ~ ord_less_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_983,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1731,plain,
( ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(zero_zero_real,X2)
| ~ ord_less_eq_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_984,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1732,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(zero_zero_int,X2)
| ~ ord_less_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_985,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1733,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(zero_zero_int,X2)
| ~ ord_less_eq_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_986,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1734,plain,
( X1 = zero_zero_int
| plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_987,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1735,plain,
( X1 = zero_zero_int
| plus_plus_int(power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_988,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1736,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_989,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1737,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_990,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1738,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_991,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1739,plain,
( X1 = zero_zero_real
| plus_plus_real(power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_992,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1740,plain,
minus_minus_nat(power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_nat(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = times_times_nat(plus_plus_nat(X1,X2),minus_minus_nat(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_993,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1741,plain,
times_times_int(plus_plus_int(X1,X2),minus_minus_int(X1,X2)) = minus_minus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_994,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1742,plain,
ord_less_eq_real(zero_zero_real,power_power_real(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_995,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1743,plain,
ord_less_eq_int(zero_zero_int,power_power_int(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_996,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1744,plain,
( plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = zero_zero_int
| X2 != zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_997,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1745,plain,
minus_minus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_int(min)) = plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_998,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1746,plain,
( plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = zero_zero_real
| X2 != zero_zero_real
| X1 != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_999,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1747,plain,
( plus_plus_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = zero_zero_real
| X2 != zero_zero_real
| X1 != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1000,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1748,plain,
times_times_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1001,c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1749,plain,
( zcong(X1,zero_zero_int,X2)
| ~ dvd_dvd_int(X2,X3)
| ~ zcong(power_power_int(X3,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1002,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1750,plain,
( quadRes(X3,X2)
| ~ is_int(X1)
| ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1003,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1751,plain,
( X1 = X2
| power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) != power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))
| ~ is_int(X2)
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X2)
| ~ ord_less_eq_int(zero_zero_int,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1004,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1752,plain,
( X1 = X2
| power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) != power_power_nat(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))
| ~ ord_less_eq_nat(zero_zero_nat,X2)
| ~ ord_less_eq_nat(zero_zero_nat,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1005,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1753,plain,
( X1 = X2
| power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) != power_power_real(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))
| ~ ord_less_eq_real(zero_zero_real,X2)
| ~ ord_less_eq_real(zero_zero_real,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1006,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1754,plain,
( X1 != zero_zero_int
| ~ is_int(X1)
| ~ ord_less_int(zero_zero_int,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1007,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1755,plain,
( X1 != zero_zero_real
| ~ ord_less_real(zero_zero_real,power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1008,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1756,plain,
~ ord_less_real(power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_real),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1009,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1757,plain,
~ ord_less_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1010,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1758,plain,
power_power_nat(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)) = power_power_nat(power_power_nat(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1011,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1759,plain,
power_power_real(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)) = power_power_real(power_power_real(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1012,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1760,plain,
power_power_int(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)) = power_power_int(power_power_int(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1013,c_0_924]),c_0_924]),c_0_925]),c_0_925]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1761,plain,
( zcong(power_power_int(esk11_2(X1,X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X1)
| ~ quadRes(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1014,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1762,plain,
power_power_nat(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)) = times_times_nat(power_power_nat(X1,X2),power_power_nat(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1015,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1763,plain,
power_power_real(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)) = times_times_real(power_power_real(X1,X2),power_power_real(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1016,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1764,plain,
power_power_int(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)) = times_times_int(power_power_int(X1,X2),power_power_int(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1017,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1765,plain,
( X1 = X2
| X2 = zero_zero_nat
| ord_less_eq_nat(times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),X2)
| ~ dvd_dvd_nat(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1018,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1766,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1019,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1767,plain,
power_power_real(number267125858f_real(min),times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)) = one_one_real,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1020,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1768,plain,
power_power_int(number_number_of_int(min),times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)) = one_one_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1021,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1769,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1022,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1770,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1023,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1771,plain,
ord_less_eq_real(one_one_real,power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1024,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1772,plain,
ord_less_eq_real(zero_zero_real,power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1025,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1773,plain,
ord_less_eq_int(zero_zero_int,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1026,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1774,plain,
( power_power_int(number_number_of_int(min),X2) = power_power_int(number_number_of_int(min),X3)
| ~ zcong(power_power_int(number_number_of_int(min),X2),power_power_int(number_number_of_int(min),X3),X1)
| ~ ord_less_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1027,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1775,plain,
( ~ zcong(X2,one_one_int,X1)
| ~ zcong(X2,number_number_of_int(min),X1)
| ~ ord_less_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1028,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1776,plain,
( ~ zcong(one_one_int,number_number_of_int(min),X1)
| ~ ord_less_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1029,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1777,plain,
power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_nat(times_times_nat(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1030,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1778,plain,
power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_real(times_times_real(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1031,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1779,plain,
power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_int(times_times_int(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1032,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1780,plain,
( X1 = one_one_int
| X1 = zero_zero_int
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(X1,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1033,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1781,plain,
ord_less_eq_int(zero_zero_int,number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1034,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1782,plain,
( X1 = zero_zero_int
| power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) != zero_zero_int
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1035,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1783,plain,
( X1 = zero_zero_real
| power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1036,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1784,plain,
plus_plus_int(times_times_int(minus_minus_int(X1,times_times_int(X2,X3)),X4),times_times_int(minus_minus_int(X5,times_times_int(X2,X6)),X7)) = minus_minus_int(plus_plus_int(times_times_int(X1,X4),times_times_int(X5,X7)),times_times_int(X2,plus_plus_int(times_times_int(X3,X4),times_times_int(X6,X7)))),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_1785,plain,
times_times_int(twoSqu140629262sum2sq(product_Pair_int_int(X1,X2)),twoSqu140629262sum2sq(product_Pair_int_int(X3,X4))) = twoSqu140629262sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(X1,X3),times_times_int(X2,X4)),minus_minus_int(times_times_int(X1,X4),times_times_int(X2,X3)))),
inference(split_conjunct,[status(thm)],[i_0_1038]),
[final] ).
cnf(i_0_1786,plain,
power_power_nat(number_number_of_nat(X1),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_nat(number_number_of_nat(X1),number_number_of_nat(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1039,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1787,plain,
power_power_real(number267125858f_real(X1),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_real(number267125858f_real(X1),number267125858f_real(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1040,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1788,plain,
power_power_int(number_number_of_int(X1),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_int(number_number_of_int(X1),number_number_of_int(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1041,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1789,plain,
times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) = plus_plus_nat(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1042,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1790,plain,
times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) = plus_plus_nat(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1043,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1791,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) = plus_plus_real(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1044,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1792,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) = plus_plus_real(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1045,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1793,plain,
times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) = plus_plus_int(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1046,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1794,plain,
times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) = plus_plus_int(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1047,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1795,plain,
times_times_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_nat(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1048,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1796,plain,
times_times_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_nat(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1049,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1797,plain,
power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_nat(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1050,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1798,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_real(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1051,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1799,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_real(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1052,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1800,plain,
power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_real(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1053,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1801,plain,
power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = times_times_int(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1054,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1802,plain,
times_times_int(X1,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_int(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1055,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1803,plain,
times_times_int(X1,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = plus_plus_int(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1056,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1804,plain,
times_times_nat(X1,X1) = power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1057,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1805,plain,
times_times_real(X1,X1) = power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1058,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1806,plain,
times_times_int(X1,X1) = power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1059,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1807,plain,
( power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1060,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1808,plain,
( power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = zero_zero_real
| X1 != zero_zero_real ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1061,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1809,plain,
ord_less_nat(zero_zero_nat,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1062,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1810,plain,
ord_less_eq_int(zero_zero_int,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1063,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1811,plain,
power_power_nat(zero_zero_nat,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = zero_zero_nat,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1064,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1812,plain,
power_power_nat(one_one_nat,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = one_one_nat,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1065,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1813,plain,
power_power_real(zero_zero_real,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = zero_zero_real,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1066,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1814,plain,
power_power_real(one_one_real,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = one_one_real,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1067,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1815,plain,
power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = zero_zero_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1068,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1816,plain,
power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = one_one_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1069,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1817,plain,
zprime(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1070,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1818,plain,
( dvd_dvd_int(X1,plus_plus_int(X2,X5))
| ~ dvd_dvd_int(X1,plus_plus_int(plus_plus_int(X2,times_times_int(X3,X4)),X5))
| ~ dvd_dvd_int(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1071]),
[final] ).
cnf(i_0_1819,plain,
( ord_less_eq_int(X5,X2)
| plus_plus_int(times_times_int(X1,X2),X3) != plus_plus_int(times_times_int(X4,X5),X6)
| ~ ord_less_int(plus_plus_int(times_times_int(X4,X5),X6),zero_zero_int)
| ~ ord_less_int(X3,X1)
| ~ ord_less_eq_int(zero_zero_int,X6)
| ~ ord_less_int(zero_zero_int,X4)
| ~ ord_less_eq_int(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1072]),
[final] ).
cnf(i_0_1820,plain,
( ord_less_eq_int(X2,X5)
| plus_plus_int(times_times_int(X1,X2),X3) != plus_plus_int(times_times_int(X4,X5),X6)
| ~ ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X4,X5),X6))
| ~ ord_less_int(X6,X4)
| ~ ord_less_eq_int(zero_zero_int,X3)
| ~ ord_less_int(zero_zero_int,X4)
| ~ ord_less_eq_int(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1073]),
[final] ).
cnf(i_0_1821,plain,
( X1 = plus_plus_int(X2,times_times_int(X3,esk10_3(X2,X1,X3)))
| ~ zcong(X2,X1,X3)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1074]),
[final] ).
cnf(i_0_1822,plain,
( ord_less_eq_int(X2,X4)
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X1,X2),X3),plus_plus_int(times_times_int(X1,X4),X5))
| ~ ord_less_eq_int(zero_zero_int,X3)
| ~ ord_less_int(X3,X1)
| ~ ord_less_int(X5,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1075]),
[final] ).
cnf(i_0_1823,plain,
( ord_less_eq_int(X4,X2)
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X1,X2),X3),plus_plus_int(times_times_int(X1,X4),X5))
| ~ ord_less_eq_int(X5,zero_zero_int)
| ~ ord_less_int(X1,X5)
| ~ ord_less_int(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1076]),
[final] ).
cnf(i_0_1824,plain,
( zcong(X1,times_times_int(X2,X5),X4)
| ~ zcong(X1,times_times_int(X2,X3),X4)
| ~ zcong(X3,X5,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1077]),
[final] ).
cnf(i_0_1825,plain,
( zcong(X1,times_times_int(X2,X5),X4)
| ~ zcong(X1,times_times_int(X2,X3),X4)
| ~ zcong(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1077]),
[final] ).
cnf(i_0_1826,plain,
( zcong(X1,times_times_int(X5,X3),X4)
| ~ zcong(X1,times_times_int(X2,X3),X4)
| ~ zcong(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1078]),
[final] ).
cnf(i_0_1827,plain,
( zcong(X1,times_times_int(X5,X3),X4)
| ~ zcong(X1,times_times_int(X2,X3),X4)
| ~ zcong(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1078]),
[final] ).
cnf(i_0_1828,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1079,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1829,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1080,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1830,plain,
plus_plus_real(one_one_real,one_one_real) = number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1081,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1831,plain,
plus_plus_real(one_one_real,one_one_real) = number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1082,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1832,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1083,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1833,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1084,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1834,plain,
( zcong(X2,one_one_int,X1)
| zcong(X2,minus_minus_int(X1,one_one_int),X1)
| ~ zprime(X1)
| ~ ord_less_int(zero_zero_int,X2)
| ~ zcong(times_times_int(X2,X2),one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1085]),
[final] ).
cnf(i_0_1835,plain,
( dvd_dvd_int(X1,plus_plus_int(plus_plus_int(X2,times_times_int(X4,X5)),X3))
| ~ dvd_dvd_int(X1,plus_plus_int(X2,X3))
| ~ dvd_dvd_int(X1,X5) ),
inference(split_conjunct,[status(thm)],[i_0_1071]),
[final] ).
cnf(i_0_1836,plain,
( zcong(times_times_int(X1,X4),times_times_int(X2,X5),X3)
| ~ zcong(X1,X2,X3)
| ~ zcong(X4,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1086]),
[final] ).
cnf(i_0_1837,plain,
( zcong(plus_plus_int(X1,X4),plus_plus_int(X2,X5),X3)
| ~ zcong(X1,X2,X3)
| ~ zcong(X4,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1087]),
[final] ).
cnf(i_0_1838,plain,
( zcong(minus_minus_int(X1,X4),minus_minus_int(X2,X5),X3)
| ~ zcong(X1,X2,X3)
| ~ zcong(X4,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1088]),
[final] ).
cnf(i_0_1839,plain,
( zcong(X1,minus_minus_int(X2,one_one_int),X2)
| ~ zcong(times_times_int(X1,minus_minus_int(X2,one_one_int)),one_one_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1089]),
[final] ).
cnf(i_0_1840,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1090,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1841,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1091,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1842,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1092,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1843,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1093,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1844,plain,
( zcong(X2,zero_zero_int,X1)
| zcong(X3,zero_zero_int,X1)
| ~ zprime(X1)
| ~ ord_less_int(zero_zero_int,X2)
| ~ zcong(times_times_int(X2,X3),zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1094]),
[final] ).
cnf(i_0_1845,plain,
( zcong(X2,zero_zero_int,X1)
| zcong(X3,zero_zero_int,X1)
| ~ zprime(X1)
| ~ ord_less_int(zero_zero_int,X2)
| ~ zcong(times_times_int(X2,X3),zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1095]),
[final] ).
cnf(i_0_1846,plain,
( zcong(power_power_int(X1,times_times_nat(X2,X4)),one_one_int,X3)
| ~ zcong(power_power_int(X1,X2),one_one_int,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1096]),
[final] ).
cnf(i_0_1847,plain,
( zcong(times_times_int(X1,minus_minus_int(X2,one_one_int)),one_one_int,X2)
| ~ zcong(X1,minus_minus_int(X2,one_one_int),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1089]),
[final] ).
cnf(i_0_1848,plain,
( ~ ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)))
| X1 != zero_zero_int
| X2 != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1097]),
[final] ).
cnf(i_0_1849,plain,
( X1 = X3
| X2 = X4
| plus_plus_int(times_times_int(X1,X2),times_times_int(X3,X4)) != plus_plus_int(times_times_int(X1,X4),times_times_int(X3,X2))
| ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X3)
| ~ is_int(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1098]),
[final] ).
cnf(i_0_1850,plain,
( X1 = X2
| X3 = X4
| plus_plus_int(times_times_int(X1,X3),times_times_int(X2,X4)) != plus_plus_int(times_times_int(X1,X4),times_times_int(X2,X3))
| ~ is_int(X3)
| ~ is_int(X4)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1099]),
[final] ).
cnf(i_0_1851,plain,
( X1 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)),zero_zero_int)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1100]),
[final] ).
cnf(i_0_1852,plain,
( X1 = zero_zero_int
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X2,X2),times_times_int(X1,X1)),zero_zero_int)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1100]),
[final] ).
cnf(i_0_1853,plain,
( zcong(X2,zero_zero_int,X1)
| zcong(X3,zero_zero_int,X1)
| ~ zprime(X1)
| ~ zcong(times_times_int(X2,X3),zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1101]),
[final] ).
cnf(i_0_1854,plain,
( zcong(X1,X5,X3)
| ~ zcong(X1,X2,X3)
| X2 != X4
| ~ zcong(X4,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1102]),
[final] ).
cnf(i_0_1855,plain,
times_times_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),X2) = plus_plus_int(plus_plus_int(times_times_int(X1,X2),times_times_int(X1,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1103,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1856,plain,
( ~ ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)))
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1104]),
[final] ).
cnf(i_0_1857,plain,
( zcong(X1,X4,X3)
| ~ zcong(X1,X2,X3)
| ~ zcong(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1105]),
[final] ).
cnf(i_0_1858,plain,
plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2)) = plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(X1,X2)),plus_plus_int(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1106,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1859,plain,
minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2)) = plus_plus_int(plus_plus_int(one_one_int,minus_minus_int(X1,X2)),minus_minus_int(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1107,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1860,plain,
plus_plus_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) = plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(X1,X2)),plus_plus_int(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1108,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1861,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_1109]),
[final] ).
cnf(i_0_1862,plain,
( X1 = zero_zero_real
| ~ ord_less_eq_real(plus_plus_real(times_times_real(X2,X2),times_times_real(X1,X1)),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_1109]),
[final] ).
cnf(i_0_1863,plain,
~ ord_less_real(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),zero_zero_real),
inference(split_conjunct,[status(thm)],[i_0_1110]),
[final] ).
cnf(i_0_1864,plain,
~ ord_less_int(plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)),zero_zero_int),
inference(split_conjunct,[status(thm)],[i_0_1111]),
[final] ).
cnf(i_0_1865,plain,
minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) = plus_plus_int(minus_minus_int(X1,X2),minus_minus_int(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1112,c_0_924]),c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1866,plain,
( X1 = X3
| X2 = X4
| plus_plus_nat(times_times_nat(X1,X2),times_times_nat(X3,X4)) != plus_plus_nat(times_times_nat(X1,X4),times_times_nat(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1113]),
[final] ).
cnf(i_0_1867,plain,
( X1 = X3
| X2 = X4
| plus_plus_real(times_times_real(X1,X2),times_times_real(X3,X4)) != plus_plus_real(times_times_real(X1,X4),times_times_real(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1114]),
[final] ).
cnf(i_0_1868,plain,
( X1 = X2
| X3 = X4
| plus_plus_nat(times_times_nat(X1,X3),times_times_nat(X2,X4)) != plus_plus_nat(times_times_nat(X1,X4),times_times_nat(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1115]),
[final] ).
cnf(i_0_1869,plain,
( X1 = X2
| X3 = X4
| plus_plus_real(times_times_real(X1,X3),times_times_real(X2,X4)) != plus_plus_real(times_times_real(X1,X4),times_times_real(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1116]),
[final] ).
cnf(i_0_1870,plain,
( X2 = X1
| ~ is_int(X1)
| ~ is_int(X2)
| ~ ord_less_int(zero_zero_int,X2)
| ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(zero_zero_int,X3)
| ~ zcong(X2,X1,X3)
| ~ ord_less_int(X2,X3)
| ~ ord_less_int(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1117]),
[final] ).
cnf(i_0_1871,plain,
( is_int(esk10_3(X1,X2,X3))
| ~ zcong(X1,X2,X3)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1074]),
[final] ).
cnf(i_0_1872,plain,
( ord_less_eq_int(zero_zero_int,X2)
| ~ ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X1,X2),X3))
| ~ ord_less_int(X3,X1)
| ~ ord_less_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1118]),
[final] ).
cnf(i_0_1873,plain,
( X1 = one_one_int
| X1 = minus_minus_int(X2,one_one_int)
| ~ is_int(X1)
| ~ zprime(X2)
| ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X2)
| ~ zcong(times_times_int(X1,X1),one_one_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1119]),
[final] ).
cnf(i_0_1874,plain,
( ord_less_eq_int(X2,zero_zero_int)
| ~ ord_less_int(plus_plus_int(times_times_int(X1,X2),X3),zero_zero_int)
| ~ ord_less_eq_int(zero_zero_int,X3)
| ~ ord_less_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1120]),
[final] ).
cnf(i_0_1875,plain,
( zcong(power_power_int(X1,X4),power_power_int(X2,X4),X3)
| ~ zcong(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1121]),
[final] ).
cnf(i_0_1876,plain,
( zcong(times_times_int(X1,X4),times_times_int(X2,X4),X3)
| ~ zcong(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1122]),
[final] ).
cnf(i_0_1877,plain,
( zcong(times_times_int(X4,X1),times_times_int(X4,X2),X3)
| ~ zcong(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1123]),
[final] ).
cnf(i_0_1878,plain,
( zcong(plus_plus_int(X1,X4),plus_plus_int(X2,X4),X3)
| ~ zcong(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1124]),
[final] ).
cnf(i_0_1879,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1125,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1880,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1126,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1881,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1127,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1882,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1128,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1883,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1129,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1884,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1130,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1885,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1131,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1886,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1132,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1887,plain,
minus_minus_int(pls,plus_plus_int(plus_plus_int(one_one_int,X1),X1)) = plus_plus_int(plus_plus_int(one_one_int,minus_minus_int(min,X1)),minus_minus_int(min,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1133,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1888,plain,
( X2 = X1
| ~ is_int(X1)
| ~ is_int(X2)
| ~ ord_less_eq_int(zero_zero_int,X2)
| ~ ord_less_int(X2,X3)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X3)
| ~ zcong(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1134]),
[final] ).
cnf(i_0_1889,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1135,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1890,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1136,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1891,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1137,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1892,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1138,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1893,plain,
plus_plus_real(number267125858f_real(X1),one_one_real) = number267125858f_real(plus_plus_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[i_0_1139,c_0_925]),
[final] ).
cnf(i_0_1894,plain,
plus_plus_int(number_number_of_int(X1),one_one_int) = number_number_of_int(plus_plus_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(rw,[status(thm)],[i_0_1140,c_0_925]),
[final] ).
cnf(i_0_1895,plain,
plus_plus_real(one_one_real,number267125858f_real(X1)) = number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)),
inference(rw,[status(thm)],[i_0_1141,c_0_925]),
[final] ).
cnf(i_0_1896,plain,
plus_plus_int(one_one_int,number_number_of_int(X1)) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)),
inference(rw,[status(thm)],[i_0_1142,c_0_925]),
[final] ).
cnf(i_0_1897,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X2)
| ~ ord_less_int(zero_zero_int,X3)
| ~ ord_less_int(X3,X1)
| ~ zcong(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1143]),
[final] ).
cnf(i_0_1898,plain,
( dvd_dvd_int(X1,X2)
| dvd_dvd_int(power_power_int(X1,X3),X4)
| ~ zprime(X1)
| ~ dvd_dvd_int(power_power_int(X1,X3),times_times_int(X2,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1144]),
[final] ).
cnf(i_0_1899,plain,
( dvd_dvd_int(X1,X2)
| dvd_dvd_int(power_power_int(X1,X3),X4)
| ~ zprime(X1)
| ~ dvd_dvd_int(power_power_int(X1,X3),times_times_int(X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1145]),
[final] ).
cnf(i_0_1900,plain,
( plus_plus_int(times_times_int(X1,X3),times_times_int(X2,X4)) = plus_plus_int(times_times_int(X1,X4),times_times_int(X2,X3))
| X1 != X2
| ~ is_int(X3)
| ~ is_int(X4)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1099]),
[final] ).
cnf(i_0_1901,plain,
( plus_plus_int(times_times_int(X1,X3),times_times_int(X2,X4)) = plus_plus_int(times_times_int(X1,X4),times_times_int(X2,X3))
| X1 != X2
| ~ is_int(X1)
| ~ is_int(X3)
| ~ is_int(X2)
| ~ is_int(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1098]),
[final] ).
cnf(i_0_1902,plain,
( ord_less_eq_int(plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)),zero_zero_int)
| X1 != zero_zero_int
| X2 != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1100]),
[final] ).
cnf(i_0_1903,plain,
( dvd_dvd_int(X1,X2)
| ~ dvd_dvd_int(X1,plus_plus_int(X2,times_times_int(X1,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1146]),
[final] ).
cnf(i_0_1904,plain,
( ord_less_nat(times_times_nat(X1,power_power_nat(X1,X2)),power_power_nat(X1,X2))
| ~ ord_less_nat(zero_zero_nat,X1)
| ~ ord_less_nat(X1,one_one_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1147]),
[final] ).
cnf(i_0_1905,plain,
( ord_less_real(times_times_real(X1,power_power_real(X1,X2)),power_power_real(X1,X2))
| ~ ord_less_real(zero_zero_real,X1)
| ~ ord_less_real(X1,one_one_real) ),
inference(split_conjunct,[status(thm)],[i_0_1148]),
[final] ).
cnf(i_0_1906,plain,
( ord_less_int(times_times_int(X1,power_power_int(X1,X2)),power_power_int(X1,X2))
| ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X1,one_one_int) ),
inference(split_conjunct,[status(thm)],[i_0_1149]),
[final] ).
cnf(i_0_1907,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1097]),
[final] ).
cnf(i_0_1908,plain,
( X1 = zero_zero_int
| ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X2,X2),times_times_int(X1,X1)))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1097]),
[final] ).
cnf(i_0_1909,plain,
times_times_nat(times_times_nat(X1,X2),times_times_nat(X3,X4)) = times_times_nat(X3,times_times_nat(times_times_nat(X1,X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_1150]),
[final] ).
cnf(i_0_1910,plain,
times_times_real(times_times_real(X1,X2),times_times_real(X3,X4)) = times_times_real(X3,times_times_real(times_times_real(X1,X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_1151]),
[final] ).
cnf(i_0_1911,plain,
times_times_int(times_times_int(X1,X2),times_times_int(X3,X4)) = times_times_int(X3,times_times_int(times_times_int(X1,X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_1152]),
[final] ).
cnf(i_0_1912,plain,
times_times_nat(times_times_nat(X1,X2),times_times_nat(X3,X4)) = times_times_nat(X1,times_times_nat(X2,times_times_nat(X3,X4))),
inference(split_conjunct,[status(thm)],[i_0_1153]),
[final] ).
cnf(i_0_1913,plain,
times_times_real(times_times_real(X1,X2),times_times_real(X3,X4)) = times_times_real(X1,times_times_real(X2,times_times_real(X3,X4))),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_1914,plain,
times_times_int(times_times_int(X1,X2),times_times_int(X3,X4)) = times_times_int(X1,times_times_int(X2,times_times_int(X3,X4))),
inference(split_conjunct,[status(thm)],[i_0_1155]),
[final] ).
cnf(i_0_1915,plain,
( X3 = zero_zero_int
| X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X3)
| X4 != X5
| plus_plus_int(X4,times_times_int(X3,X1)) != plus_plus_int(X5,times_times_int(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1156]),
[final] ).
cnf(i_0_1916,plain,
( times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1157,c_0_925]),
[final] ).
cnf(i_0_1917,plain,
( times_times_int(X1,number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1158,c_0_925]),
[final] ).
cnf(i_0_1918,plain,
( ord_less_eq_real(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),zero_zero_real)
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1109]),
[final] ).
cnf(i_0_1919,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rw,[status(thm)],[i_0_1159,c_0_925]),
[final] ).
cnf(i_0_1920,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rw,[status(thm)],[i_0_1160,c_0_925]),
[final] ).
cnf(i_0_1921,plain,
( ord_less_int(min,X1)
| ~ ord_less_int(min,plus_plus_int(plus_plus_int(one_one_int,X1),X1)) ),
inference(rw,[status(thm)],[i_0_1161,c_0_925]),
[final] ).
cnf(i_0_1922,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_int(pls,plus_plus_int(plus_plus_int(one_one_int,X1),X1)) ),
inference(rw,[status(thm)],[i_0_1162,c_0_925]),
[final] ).
cnf(i_0_1923,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,plus_plus_int(plus_plus_int(one_one_int,X1),X1)) ),
inference(rw,[status(thm)],[i_0_1163,c_0_925]),
[final] ).
cnf(i_0_1924,plain,
( ord_less_eq_int(min,X1)
| ~ ord_less_eq_int(min,plus_plus_int(plus_plus_int(one_one_int,X1),X1)) ),
inference(rw,[status(thm)],[i_0_1164,c_0_925]),
[final] ).
cnf(i_0_1925,plain,
( ord_less_int(X1,pls)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),pls) ),
inference(rw,[status(thm)],[i_0_1165,c_0_925]),
[final] ).
cnf(i_0_1926,plain,
( ord_less_int(X1,pls)
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),pls) ),
inference(rw,[status(thm)],[i_0_1166,c_0_925]),
[final] ).
cnf(i_0_1927,plain,
( ord_less_int(X1,min)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),min) ),
inference(rw,[status(thm)],[i_0_1167,c_0_925]),
[final] ).
cnf(i_0_1928,plain,
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_1168]),
[final] ).
cnf(i_0_1929,plain,
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),zero_zero_int) ),
inference(rw,[status(thm)],[i_0_1169,c_0_925]),
[final] ).
cnf(i_0_1930,plain,
( ord_less_eq_int(X1,min)
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),min) ),
inference(rw,[status(thm)],[i_0_1170,c_0_925]),
[final] ).
cnf(i_0_1931,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1104]),
[final] ).
cnf(i_0_1932,plain,
( X1 = zero_zero_real
| ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X2,X2),times_times_real(X1,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1104]),
[final] ).
cnf(i_0_1933,plain,
minus_minus_int(min,plus_plus_int(plus_plus_int(one_one_int,X1),X1)) = plus_plus_int(minus_minus_int(min,X1),minus_minus_int(min,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1171,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1934,plain,
minus_minus_int(min,plus_plus_int(X1,X1)) = plus_plus_int(plus_plus_int(one_one_int,minus_minus_int(min,X1)),minus_minus_int(min,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1172,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1935,plain,
( ord_less_int(X1,pls)
| times_times_nat(number_number_of_nat(X1),times_times_nat(number_number_of_nat(X2),X3)) = times_times_nat(number_number_of_nat(times_times_int(X1,X2)),X3) ),
inference(split_conjunct,[status(thm)],[i_0_1173]),
[final] ).
cnf(i_0_1936,plain,
ord_less_eq_real(zero_zero_real,plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2))),
inference(split_conjunct,[status(thm)],[i_0_1174]),
[final] ).
cnf(i_0_1937,plain,
ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2))),
inference(split_conjunct,[status(thm)],[i_0_1175]),
[final] ).
cnf(i_0_1938,plain,
( zcong(X2,X1,X3)
| ~ zcong(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1176]),
[final] ).
cnf(i_0_1939,plain,
( zcong(X2,X1,X3)
| ~ zcong(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1176]),
[final] ).
cnf(i_0_1940,plain,
( ord_less_real(number267125858f_real(X1),one_one_real)
| ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(rw,[status(thm)],[i_0_1177,c_0_925]),
[final] ).
cnf(i_0_1941,plain,
( ord_less_eq_real(number267125858f_real(X1),one_one_real)
| ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(rw,[status(thm)],[i_0_1178,c_0_925]),
[final] ).
cnf(i_0_1942,plain,
( ord_less_int(number_number_of_int(X1),one_one_int)
| ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(rw,[status(thm)],[i_0_1179,c_0_925]),
[final] ).
cnf(i_0_1943,plain,
( ord_less_eq_int(number_number_of_int(X1),one_one_int)
| ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(rw,[status(thm)],[i_0_1180,c_0_925]),
[final] ).
cnf(i_0_1944,plain,
( ord_less_real(one_one_real,number267125858f_real(X1))
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1) ),
inference(rw,[status(thm)],[i_0_1181,c_0_925]),
[final] ).
cnf(i_0_1945,plain,
( ord_less_eq_real(one_one_real,number267125858f_real(X1))
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1) ),
inference(rw,[status(thm)],[i_0_1182,c_0_925]),
[final] ).
cnf(i_0_1946,plain,
( ord_less_int(one_one_int,number_number_of_int(X1))
| ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1) ),
inference(rw,[status(thm)],[i_0_1183,c_0_925]),
[final] ).
cnf(i_0_1947,plain,
( ord_less_eq_int(one_one_int,number_number_of_int(X1))
| ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1) ),
inference(rw,[status(thm)],[i_0_1184,c_0_925]),
[final] ).
cnf(i_0_1948,plain,
( ord_less_nat(X1,X3)
| ~ ord_less_nat(power_power_nat(X1,X2),power_power_nat(X3,X2))
| ~ ord_less_eq_nat(zero_zero_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1185]),
[final] ).
cnf(i_0_1949,plain,
( ord_less_nat(X2,X3)
| ~ ord_less_nat(zero_zero_nat,X1)
| ~ ord_less_nat(power_power_nat(X1,X2),power_power_nat(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1186]),
[final] ).
cnf(i_0_1950,plain,
( ord_less_nat(X2,X3)
| ~ ord_less_nat(one_one_nat,X1)
| ~ ord_less_nat(power_power_nat(X1,X2),power_power_nat(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1187]),
[final] ).
cnf(i_0_1951,plain,
( ord_less_nat(X2,X3)
| ~ ord_less_nat(power_power_nat(X1,X2),power_power_nat(X1,X3))
| ~ ord_less_nat(one_one_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1188]),
[final] ).
cnf(i_0_1952,plain,
( ord_less_nat(X2,X3)
| ~ ord_less_real(one_one_real,X1)
| ~ ord_less_real(power_power_real(X1,X2),power_power_real(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1189]),
[final] ).
cnf(i_0_1953,plain,
( ord_less_nat(X2,X3)
| ~ ord_less_real(power_power_real(X1,X2),power_power_real(X1,X3))
| ~ ord_less_real(one_one_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1190]),
[final] ).
cnf(i_0_1954,plain,
( ord_less_nat(X2,X3)
| ~ ord_less_int(one_one_int,X1)
| ~ ord_less_int(power_power_int(X1,X2),power_power_int(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1191]),
[final] ).
cnf(i_0_1955,plain,
( ord_less_nat(X2,X3)
| ~ ord_less_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ~ ord_less_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1192]),
[final] ).
cnf(i_0_1956,plain,
( ord_less_eq_nat(X2,X3)
| ~ dvd_dvd_nat(power_power_nat(X1,X2),power_power_nat(X1,X3))
| ~ ord_less_nat(one_one_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1193]),
[final] ).
cnf(i_0_1957,plain,
( ord_less_eq_nat(X2,X3)
| ~ ord_less_eq_nat(power_power_nat(X1,X2),power_power_nat(X1,X3))
| ~ ord_less_nat(one_one_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1194]),
[final] ).
cnf(i_0_1958,plain,
( ord_less_eq_nat(X2,X3)
| ~ ord_less_nat(one_one_nat,X1)
| ~ ord_less_eq_nat(power_power_nat(X1,X2),power_power_nat(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1195]),
[final] ).
cnf(i_0_1959,plain,
( ord_less_eq_nat(X2,X3)
| ~ ord_less_eq_real(power_power_real(X1,X2),power_power_real(X1,X3))
| ~ ord_less_real(one_one_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1196]),
[final] ).
cnf(i_0_1960,plain,
( ord_less_eq_nat(X2,X3)
| ~ ord_less_real(one_one_real,X1)
| ~ ord_less_eq_real(power_power_real(X1,X2),power_power_real(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1197]),
[final] ).
cnf(i_0_1961,plain,
( ord_less_eq_nat(X2,X3)
| ~ ord_less_eq_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ~ ord_less_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1198]),
[final] ).
cnf(i_0_1962,plain,
( ord_less_eq_nat(X2,X3)
| ~ ord_less_int(one_one_int,X1)
| ~ ord_less_eq_int(power_power_int(X1,X2),power_power_int(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1199]),
[final] ).
cnf(i_0_1963,plain,
( ord_less_real(X1,X3)
| ~ ord_less_real(times_times_real(X1,X2),times_times_real(X3,X2))
| ~ ord_less_real(zero_zero_real,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1200]),
[final] ).
cnf(i_0_1964,plain,
( ord_less_real(X1,X3)
| ~ ord_less_real(power_power_real(X1,X2),power_power_real(X3,X2))
| ~ ord_less_eq_real(zero_zero_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1201]),
[final] ).
cnf(i_0_1965,plain,
( ord_less_eq_real(X1,X3)
| ~ ord_less_eq_real(times_times_real(X1,X2),times_times_real(X3,X2))
| ~ ord_less_real(zero_zero_real,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1202]),
[final] ).
cnf(i_0_1966,plain,
( ord_less_eq_real(X2,X3)
| ~ ord_less_eq_real(times_times_real(X1,X2),times_times_real(X1,X3))
| ~ ord_less_real(zero_zero_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1203]),
[final] ).
cnf(i_0_1967,plain,
( ord_less_int(X1,X3)
| ~ ord_less_int(power_power_int(X1,X2),power_power_int(X3,X2))
| ~ ord_less_eq_int(zero_zero_int,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1204]),
[final] ).
cnf(i_0_1968,plain,
( ord_less_nat(power_power_nat(X1,X2),times_times_nat(X1,power_power_nat(X1,X2)))
| ~ ord_less_nat(one_one_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1205]),
[final] ).
cnf(i_0_1969,plain,
( ord_less_real(power_power_real(X1,X2),times_times_real(X1,power_power_real(X1,X2)))
| ~ ord_less_real(one_one_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1206]),
[final] ).
cnf(i_0_1970,plain,
( ord_less_int(power_power_int(X1,X2),times_times_int(X1,power_power_int(X1,X2)))
| ~ ord_less_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1207]),
[final] ).
cnf(i_0_1971,plain,
times_times_nat(plus_plus_nat(X1,X2),number_number_of_nat(X3)) = plus_plus_nat(times_times_nat(X1,number_number_of_nat(X3)),times_times_nat(X2,number_number_of_nat(X3))),
inference(split_conjunct,[status(thm)],[i_0_1208]),
[final] ).
cnf(i_0_1972,plain,
times_times_real(plus_plus_real(X1,X2),number267125858f_real(X3)) = plus_plus_real(times_times_real(X1,number267125858f_real(X3)),times_times_real(X2,number267125858f_real(X3))),
inference(split_conjunct,[status(thm)],[i_0_1209]),
[final] ).
cnf(i_0_1973,plain,
times_times_int(plus_plus_int(X1,X2),number_number_of_int(X3)) = plus_plus_int(times_times_int(X1,number_number_of_int(X3)),times_times_int(X2,number_number_of_int(X3))),
inference(split_conjunct,[status(thm)],[i_0_1210]),
[final] ).
cnf(i_0_1974,plain,
times_times_nat(number_number_of_nat(X1),plus_plus_nat(X2,X3)) = plus_plus_nat(times_times_nat(number_number_of_nat(X1),X2),times_times_nat(number_number_of_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_1211]),
[final] ).
cnf(i_0_1975,plain,
times_times_real(number267125858f_real(X1),plus_plus_real(X2,X3)) = plus_plus_real(times_times_real(number267125858f_real(X1),X2),times_times_real(number267125858f_real(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_1212]),
[final] ).
cnf(i_0_1976,plain,
times_times_int(number_number_of_int(X1),plus_plus_int(X2,X3)) = plus_plus_int(times_times_int(number_number_of_int(X1),X2),times_times_int(number_number_of_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_1213]),
[final] ).
cnf(i_0_1977,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X2)
| ~ zcong(X1,zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1214]),
[final] ).
cnf(i_0_1978,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X2)
| ~ zcong(X1,zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1215]),
[final] ).
cnf(i_0_1979,plain,
( plus_plus_nat(times_times_nat(X1,X3),times_times_nat(X2,X4)) = plus_plus_nat(times_times_nat(X1,X4),times_times_nat(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1115]),
[final] ).
cnf(i_0_1980,plain,
( plus_plus_nat(times_times_nat(X1,X3),times_times_nat(X2,X4)) = plus_plus_nat(times_times_nat(X1,X4),times_times_nat(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1113]),
[final] ).
cnf(i_0_1981,plain,
( plus_plus_real(times_times_real(X1,X3),times_times_real(X2,X4)) = plus_plus_real(times_times_real(X1,X4),times_times_real(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1116]),
[final] ).
cnf(i_0_1982,plain,
( plus_plus_real(times_times_real(X1,X3),times_times_real(X2,X4)) = plus_plus_real(times_times_real(X1,X4),times_times_real(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1114]),
[final] ).
cnf(i_0_1983,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1216,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1984,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1217,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1985,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1218,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1986,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),plus_plus_int(X2,X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1219,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1987,plain,
( ord_less_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1220,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1988,plain,
( ord_less_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1221,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1989,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1222,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1990,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(plus_plus_int(one_one_int,X2),X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1223,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_1991,plain,
( zcong(X3,X2,X4)
| ~ is_int(X1)
| X2 != plus_plus_int(X3,times_times_int(X4,X1))
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1074]),
[final] ).
cnf(i_0_1992,plain,
( X1 = zero_zero_nat
| X4 = X5
| X2 != X3
| plus_plus_nat(X2,times_times_nat(X1,X4)) != plus_plus_nat(X3,times_times_nat(X1,X5)) ),
inference(split_conjunct,[status(thm)],[i_0_1224]),
[final] ).
cnf(i_0_1993,plain,
( X1 = zero_zero_real
| X4 = X5
| X2 != X3
| plus_plus_real(X2,times_times_real(X1,X4)) != plus_plus_real(X3,times_times_real(X1,X5)) ),
inference(split_conjunct,[status(thm)],[i_0_1225]),
[final] ).
cnf(i_0_1994,plain,
( X1 = X2
| plus_plus_int(plus_plus_int(one_one_int,X1),X1) != plus_plus_int(plus_plus_int(one_one_int,X2),X2)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1226,c_0_925]),c_0_925]),
[final] ).
cnf(i_0_1995,plain,
times_times_nat(times_times_nat(X1,X2),times_times_nat(X3,X4)) = times_times_nat(times_times_nat(X1,X3),times_times_nat(X2,X4)),
inference(split_conjunct,[status(thm)],[i_0_1227]),
[final] ).
cnf(i_0_1996,plain,
plus_plus_nat(plus_plus_nat(X1,X2),plus_plus_nat(X3,X4)) = plus_plus_nat(plus_plus_nat(X1,X3),plus_plus_nat(X2,X4)),
inference(split_conjunct,[status(thm)],[i_0_1228]),
[final] ).
cnf(i_0_1997,plain,
times_times_real(times_times_real(X1,X2),times_times_real(X3,X4)) = times_times_real(times_times_real(X1,X3),times_times_real(X2,X4)),
inference(split_conjunct,[status(thm)],[i_0_1229]),
[final] ).
cnf(i_0_1998,plain,
plus_plus_real(plus_plus_real(X1,X2),plus_plus_real(X3,X4)) = plus_plus_real(plus_plus_real(X1,X3),plus_plus_real(X2,X4)),
inference(split_conjunct,[status(thm)],[i_0_1230]),
[final] ).
cnf(i_0_1999,plain,
times_times_int(times_times_int(X1,X2),times_times_int(X3,X4)) = times_times_int(times_times_int(X1,X3),times_times_int(X2,X4)),
inference(split_conjunct,[status(thm)],[i_0_1231]),
[final] ).
cnf(i_0_2000,plain,
plus_plus_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2)) = plus_plus_int(plus_plus_int(X1,X2),plus_plus_int(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1232,c_0_924]),c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2001,plain,
plus_plus_int(plus_plus_int(X1,X2),plus_plus_int(X3,X4)) = plus_plus_int(plus_plus_int(X1,X3),plus_plus_int(X2,X4)),
inference(split_conjunct,[status(thm)],[i_0_1233]),
[final] ).
cnf(i_0_2002,plain,
plus_plus_int(minus_minus_int(X1,X2),minus_minus_int(X1,X2)) = minus_minus_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1234,c_0_924]),c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2003,plain,
number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,X1),X1)) = plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(X1)),number267125858f_real(X1)),
inference(rw,[status(thm)],[i_0_1235,c_0_925]),
[final] ).
cnf(i_0_2004,plain,
number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X1)),number_number_of_int(X1)),
inference(rw,[status(thm)],[i_0_1236,c_0_925]),
[final] ).
cnf(i_0_2005,plain,
( X1 != plus_plus_nat(times_times_nat(X2,X3),X4)
| ~ ord_less_nat(zero_zero_nat,X4)
| ~ ord_less_nat(X4,X3)
| ~ dvd_dvd_nat(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1237]),
[final] ).
cnf(i_0_2006,plain,
times_times_real(number267125858f_real(X1),times_times_real(number267125858f_real(X2),X3)) = times_times_real(number267125858f_real(times_times_int(X1,X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_1238]),
[final] ).
cnf(i_0_2007,plain,
plus_plus_real(number267125858f_real(X1),plus_plus_real(number267125858f_real(X2),X3)) = plus_plus_real(number267125858f_real(plus_plus_int(X1,X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_1239]),
[final] ).
cnf(i_0_2008,plain,
times_times_int(number_number_of_int(X1),times_times_int(number_number_of_int(X2),X3)) = times_times_int(number_number_of_int(times_times_int(X1,X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_1240]),
[final] ).
cnf(i_0_2009,plain,
plus_plus_int(number_number_of_int(X1),plus_plus_int(number_number_of_int(X2),X3)) = plus_plus_int(number_number_of_int(plus_plus_int(X1,X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_1241]),
[final] ).
cnf(i_0_2010,plain,
( ord_less_nat(power_power_nat(X1,X3),power_power_nat(X2,X3))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_nat(zero_zero_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1242]),
[final] ).
cnf(i_0_2011,plain,
( ord_less_real(power_power_real(X1,X3),power_power_real(X2,X3))
| ~ ord_less_real(X1,X2)
| ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_nat(zero_zero_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1243]),
[final] ).
cnf(i_0_2012,plain,
( ord_less_int(power_power_int(X1,X3),power_power_int(X2,X3))
| ~ ord_less_int(X1,X2)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_nat(zero_zero_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1244]),
[final] ).
cnf(i_0_2013,plain,
( ord_less_nat(power_power_nat(X3,X2),power_power_nat(X3,X1))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_nat(zero_zero_nat,X3)
| ~ ord_less_nat(X3,one_one_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1245]),
[final] ).
cnf(i_0_2014,plain,
( ord_less_eq_nat(power_power_nat(X3,X2),power_power_nat(X3,X1))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_nat(zero_zero_nat,X3)
| ~ ord_less_eq_nat(X3,one_one_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1246]),
[final] ).
cnf(i_0_2015,plain,
( ord_less_real(power_power_real(X3,X2),power_power_real(X3,X1))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_real(zero_zero_real,X3)
| ~ ord_less_real(X3,one_one_real) ),
inference(split_conjunct,[status(thm)],[i_0_1247]),
[final] ).
cnf(i_0_2016,plain,
( ord_less_eq_real(power_power_real(X3,X2),power_power_real(X3,X1))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_real(zero_zero_real,X3)
| ~ ord_less_eq_real(X3,one_one_real) ),
inference(split_conjunct,[status(thm)],[i_0_1248]),
[final] ).
cnf(i_0_2017,plain,
( ord_less_int(power_power_int(X3,X2),power_power_int(X3,X1))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_int(zero_zero_int,X3)
| ~ ord_less_int(X3,one_one_int) ),
inference(split_conjunct,[status(thm)],[i_0_1249]),
[final] ).
cnf(i_0_2018,plain,
( ord_less_eq_int(power_power_int(X3,X2),power_power_int(X3,X1))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_int(zero_zero_int,X3)
| ~ ord_less_eq_int(X3,one_one_int) ),
inference(split_conjunct,[status(thm)],[i_0_1250]),
[final] ).
cnf(i_0_2019,plain,
( X1 = zero_zero_int
| dvd_dvd_int(X2,X3)
| ~ is_int(X1)
| ~ dvd_dvd_int(times_times_int(X1,X2),times_times_int(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1251]),
[final] ).
cnf(i_0_2020,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X2)
| ~ zcong(X1,zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1252]),
[final] ).
cnf(i_0_2021,plain,
( dvd_dvd_real(power_power_real(X1,X4),X3)
| ~ dvd_dvd_real(power_power_real(X1,X2),X3)
| ~ ord_less_eq_nat(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1253]),
[final] ).
cnf(i_0_2022,plain,
( dvd_dvd_nat(power_power_nat(X1,X4),X3)
| ~ dvd_dvd_nat(power_power_nat(X1,X2),X3)
| ~ ord_less_eq_nat(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1254]),
[final] ).
cnf(i_0_2023,plain,
( dvd_dvd_int(power_power_int(X1,X4),X3)
| ~ dvd_dvd_int(power_power_int(X1,X2),X3)
| ~ ord_less_eq_nat(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1255]),
[final] ).
cnf(i_0_2024,plain,
( dvd_dvd_int(X3,minus_minus_int(X1,X2))
| ~ zcong(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1256]),
[final] ).
cnf(i_0_2025,plain,
( X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| power_power_int(X1,X3) != power_power_int(X2,X3)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X2)
| ~ ord_less_nat(zero_zero_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1257]),
[final] ).
cnf(i_0_2026,plain,
( ord_less_eq_int(one_one_int,X3)
| ~ ord_less_int(zero_zero_int,X1)
| X1 != plus_plus_int(X2,times_times_int(X1,X3))
| ~ ord_less_int(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1258]),
[final] ).
cnf(i_0_2027,plain,
( X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(times_times_nat(X1,X2),times_times_nat(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1259]),
[final] ).
cnf(i_0_2028,plain,
( X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(power_power_nat(X1,X2),power_power_nat(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1260]),
[final] ).
cnf(i_0_2029,plain,
( X1 = zero_zero_int
| plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)) != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1261]),
[final] ).
cnf(i_0_2030,plain,
( X1 = zero_zero_int
| plus_plus_int(times_times_int(X2,X2),times_times_int(X1,X1)) != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1261]),
[final] ).
cnf(i_0_2031,plain,
( dvd_dvd_int(X2,X1)
| dvd_dvd_int(X2,X3)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ zprime(X2)
| ~ dvd_dvd_int(X2,times_times_int(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1262]),
[final] ).
cnf(i_0_2032,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1263,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2033,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1264,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2034,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1265,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2035,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1266,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2036,plain,
( ord_less_eq_int(X3,one_one_int)
| ~ ord_less_int(zero_zero_int,X1)
| X1 != plus_plus_int(X2,times_times_int(X1,X3))
| ~ ord_less_eq_int(zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1267]),
[final] ).
cnf(i_0_2037,plain,
( zcong(X2,X3,X1)
| ~ dvd_dvd_int(X1,minus_minus_int(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1256]),
[final] ).
cnf(i_0_2038,plain,
( dvd_dvd_int(X1,plus_plus_int(X2,times_times_int(X1,X3)))
| ~ dvd_dvd_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1146]),
[final] ).
cnf(i_0_2039,plain,
( dvd_dvd_real(power_power_real(X1,X3),power_power_real(X2,X4))
| ~ dvd_dvd_real(X1,X2)
| ~ ord_less_eq_nat(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1268]),
[final] ).
cnf(i_0_2040,plain,
( dvd_dvd_nat(power_power_nat(X1,X3),power_power_nat(X2,X4))
| ~ dvd_dvd_nat(X1,X2)
| ~ ord_less_eq_nat(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1269]),
[final] ).
cnf(i_0_2041,plain,
( dvd_dvd_int(power_power_int(X1,X3),power_power_int(X2,X4))
| ~ dvd_dvd_int(X1,X2)
| ~ ord_less_eq_nat(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1270]),
[final] ).
cnf(i_0_2042,plain,
( ord_less_int(plus_plus_int(X1,X3),plus_plus_int(X2,X4))
| ~ ord_less_int(X1,X2)
| ~ ord_less_eq_int(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1271]),
[final] ).
cnf(i_0_2043,plain,
( ord_less_nat(one_one_nat,times_times_nat(X1,power_power_nat(X1,X2)))
| ~ ord_less_nat(one_one_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1272]),
[final] ).
cnf(i_0_2044,plain,
( ord_less_real(one_one_real,times_times_real(X1,power_power_real(X1,X2)))
| ~ ord_less_real(one_one_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1273]),
[final] ).
cnf(i_0_2045,plain,
( ord_less_int(one_one_int,times_times_int(X1,power_power_int(X1,X2)))
| ~ ord_less_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1274]),
[final] ).
cnf(i_0_2046,plain,
( ord_less_nat(power_power_nat(X3,X1),power_power_nat(X3,X2))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_nat(one_one_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1275]),
[final] ).
cnf(i_0_2047,plain,
( ord_less_nat(power_power_nat(X3,X1),power_power_nat(X3,X2))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_nat(one_one_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1188]),
[final] ).
cnf(i_0_2048,plain,
( ord_less_eq_nat(power_power_nat(X1,X3),power_power_nat(X2,X3))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1276]),
[final] ).
cnf(i_0_2049,plain,
( ord_less_eq_nat(power_power_nat(X3,X1),power_power_nat(X3,X2))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_nat(one_one_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1194]),
[final] ).
cnf(i_0_2050,plain,
( ord_less_eq_nat(power_power_nat(X3,X1),power_power_nat(X3,X2))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_nat(one_one_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1277]),
[final] ).
cnf(i_0_2051,plain,
( ord_less_real(times_times_real(X1,X2),times_times_real(X1,X3))
| ~ ord_less_real(zero_zero_real,X1)
| ~ ord_less_real(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1278]),
[final] ).
cnf(i_0_2052,plain,
( ord_less_real(times_times_real(X1,X3),times_times_real(X2,X3))
| ~ ord_less_real(X1,X2)
| ~ ord_less_real(zero_zero_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1200]),
[final] ).
cnf(i_0_2053,plain,
( ord_less_real(power_power_real(X3,X1),power_power_real(X3,X2))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_real(one_one_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1279]),
[final] ).
cnf(i_0_2054,plain,
( ord_less_real(power_power_real(X3,X1),power_power_real(X3,X2))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_real(one_one_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1190]),
[final] ).
cnf(i_0_2055,plain,
( ord_less_eq_real(times_times_real(X1,X3),times_times_real(X2,X3))
| ~ ord_less_eq_real(X1,X2)
| ~ ord_less_real(zero_zero_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1202]),
[final] ).
cnf(i_0_2056,plain,
( ord_less_eq_real(times_times_real(X3,X1),times_times_real(X3,X2))
| ~ ord_less_eq_real(X1,X2)
| ~ ord_less_real(zero_zero_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1203]),
[final] ).
cnf(i_0_2057,plain,
( ord_less_eq_real(power_power_real(X1,X3),power_power_real(X2,X3))
| ~ ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(zero_zero_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1280]),
[final] ).
cnf(i_0_2058,plain,
( ord_less_eq_real(power_power_real(X3,X1),power_power_real(X3,X2))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_real(one_one_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1196]),
[final] ).
cnf(i_0_2059,plain,
( ord_less_eq_real(power_power_real(X3,X1),power_power_real(X3,X2))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_real(one_one_real,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1281]),
[final] ).
cnf(i_0_2060,plain,
( ord_less_int(power_power_int(X3,X1),power_power_int(X3,X2))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_int(one_one_int,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1282]),
[final] ).
cnf(i_0_2061,plain,
( ord_less_int(power_power_int(X3,X1),power_power_int(X3,X2))
| ~ ord_less_nat(X1,X2)
| ~ ord_less_int(one_one_int,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1192]),
[final] ).
cnf(i_0_2062,plain,
( ord_less_int(times_times_int(X3,X1),times_times_int(X3,X2))
| ~ ord_less_int(X1,X2)
| ~ ord_less_int(zero_zero_int,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1283]),
[final] ).
cnf(i_0_2063,plain,
( ord_less_eq_int(power_power_int(X1,X3),power_power_int(X2,X3))
| ~ ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1284]),
[final] ).
cnf(i_0_2064,plain,
( ord_less_eq_int(power_power_int(X3,X1),power_power_int(X3,X2))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_int(one_one_int,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1198]),
[final] ).
cnf(i_0_2065,plain,
( ord_less_eq_int(power_power_int(X3,X1),power_power_int(X3,X2))
| ~ ord_less_eq_nat(X1,X2)
| ~ ord_less_eq_int(one_one_int,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1285]),
[final] ).
cnf(i_0_2066,plain,
( X1 = X3
| power_power_nat(X1,X2) != power_power_nat(X3,X2)
| ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_eq_nat(zero_zero_nat,X3)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1286]),
[final] ).
cnf(i_0_2067,plain,
( X1 = X3
| power_power_real(X1,X2) != power_power_real(X3,X2)
| ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_eq_real(zero_zero_real,X3)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1287]),
[final] ).
cnf(i_0_2068,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ~ ord_less_real(one_one_real,number267125858f_real(X1)) ),
inference(rw,[status(thm)],[i_0_1288,c_0_925]),
[final] ).
cnf(i_0_2069,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ~ ord_less_int(one_one_int,number_number_of_int(X1)) ),
inference(rw,[status(thm)],[i_0_1289,c_0_925]),
[final] ).
cnf(i_0_2070,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ~ ord_less_eq_real(one_one_real,number267125858f_real(X1)) ),
inference(rw,[status(thm)],[i_0_1290,c_0_925]),
[final] ).
cnf(i_0_2071,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ~ ord_less_eq_int(one_one_int,number_number_of_int(X1)) ),
inference(rw,[status(thm)],[i_0_1291,c_0_925]),
[final] ).
cnf(i_0_2072,plain,
( ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ~ ord_less_real(number267125858f_real(X1),one_one_real) ),
inference(rw,[status(thm)],[i_0_1292,c_0_925]),
[final] ).
cnf(i_0_2073,plain,
( ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ~ ord_less_int(number_number_of_int(X1),one_one_int) ),
inference(rw,[status(thm)],[i_0_1293,c_0_925]),
[final] ).
cnf(i_0_2074,plain,
( ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ~ ord_less_eq_real(number267125858f_real(X1),one_one_real) ),
inference(rw,[status(thm)],[i_0_1294,c_0_925]),
[final] ).
cnf(i_0_2075,plain,
( ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ~ ord_less_eq_int(number_number_of_int(X1),one_one_int) ),
inference(rw,[status(thm)],[i_0_1295,c_0_925]),
[final] ).
cnf(i_0_2076,plain,
zcong(times_times_int(X1,X2),times_times_int(X3,X2),X2),
inference(split_conjunct,[status(thm)],[i_0_1296]),
[final] ).
cnf(i_0_2077,plain,
plus_plus_nat(times_times_nat(X1,X2),times_times_nat(X3,X2)) = times_times_nat(plus_plus_nat(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1297]),
[final] ).
cnf(i_0_2078,plain,
plus_plus_real(times_times_real(X1,X2),times_times_real(X3,X2)) = times_times_real(plus_plus_real(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1298]),
[final] ).
cnf(i_0_2079,plain,
plus_plus_int(times_times_int(X1,X2),times_times_int(X3,X2)) = times_times_int(plus_plus_int(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1299]),
[final] ).
cnf(i_0_2080,plain,
times_times_nat(power_power_nat(X1,X2),power_power_nat(X1,X3)) = power_power_nat(X1,plus_plus_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1300]),
[final] ).
cnf(i_0_2081,plain,
times_times_real(power_power_real(X1,X2),power_power_real(X1,X3)) = power_power_real(X1,plus_plus_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1301]),
[final] ).
cnf(i_0_2082,plain,
times_times_int(power_power_int(X1,X2),power_power_int(X1,X3)) = power_power_int(X1,plus_plus_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1302]),
[final] ).
cnf(i_0_2083,plain,
times_times_nat(plus_plus_nat(X1,X2),X3) = plus_plus_nat(times_times_nat(X1,X3),times_times_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1303]),
[final] ).
cnf(i_0_2084,plain,
power_power_nat(times_times_nat(X1,X2),X3) = times_times_nat(power_power_nat(X1,X3),power_power_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1304]),
[final] ).
cnf(i_0_2085,plain,
power_power_nat(times_times_nat(X1,X2),X3) = times_times_nat(power_power_nat(X1,X3),power_power_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1305]),
[final] ).
cnf(i_0_2086,plain,
times_times_real(plus_plus_real(X1,X2),X3) = plus_plus_real(times_times_real(X1,X3),times_times_real(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1306]),
[final] ).
cnf(i_0_2087,plain,
times_times_real(plus_plus_real(X1,X2),X3) = plus_plus_real(times_times_real(X1,X3),times_times_real(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1307]),
[final] ).
cnf(i_0_2088,plain,
power_power_real(times_times_real(X1,X2),X3) = times_times_real(power_power_real(X1,X3),power_power_real(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1308]),
[final] ).
cnf(i_0_2089,plain,
power_power_real(times_times_real(X1,X2),X3) = times_times_real(power_power_real(X1,X3),power_power_real(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1309]),
[final] ).
cnf(i_0_2090,plain,
power_power_int(times_times_int(X1,X2),X3) = times_times_int(power_power_int(X1,X3),power_power_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1310]),
[final] ).
cnf(i_0_2091,plain,
power_power_int(times_times_int(X1,X2),X3) = times_times_int(power_power_int(X1,X3),power_power_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1311]),
[final] ).
cnf(i_0_2092,plain,
times_times_int(plus_plus_int(X1,X1),X2) = plus_plus_int(times_times_int(X1,X2),times_times_int(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1312,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2093,plain,
times_times_int(plus_plus_int(X1,X2),X3) = plus_plus_int(times_times_int(X1,X3),times_times_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1313]),
[final] ).
cnf(i_0_2094,plain,
times_times_int(plus_plus_int(X1,X2),X3) = plus_plus_int(times_times_int(X1,X3),times_times_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1314]),
[final] ).
cnf(i_0_2095,plain,
times_times_int(minus_minus_int(X1,X2),X3) = minus_minus_int(times_times_int(X1,X3),times_times_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1315]),
[final] ).
cnf(i_0_2096,plain,
times_times_nat(X1,plus_plus_nat(X2,X3)) = plus_plus_nat(times_times_nat(X1,X2),times_times_nat(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1316]),
[final] ).
cnf(i_0_2097,plain,
power_power_nat(X1,plus_plus_nat(X2,X3)) = times_times_nat(power_power_nat(X1,X2),power_power_nat(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1317]),
[final] ).
cnf(i_0_2098,plain,
times_times_real(X1,plus_plus_real(X2,X3)) = plus_plus_real(times_times_real(X1,X2),times_times_real(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1318]),
[final] ).
cnf(i_0_2099,plain,
power_power_real(X1,plus_plus_nat(X2,X3)) = times_times_real(power_power_real(X1,X2),power_power_real(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1319]),
[final] ).
cnf(i_0_2100,plain,
power_power_int(X1,plus_plus_nat(X2,X3)) = times_times_int(power_power_int(X1,X2),power_power_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1320]),
[final] ).
cnf(i_0_2101,plain,
power_power_int(X1,plus_plus_nat(X2,X3)) = times_times_int(power_power_int(X1,X2),power_power_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1321]),
[final] ).
cnf(i_0_2102,plain,
times_times_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(times_times_int(X1,X2),times_times_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1322]),
[final] ).
cnf(i_0_2103,plain,
times_times_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(times_times_int(X1,X2),times_times_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1323]),
[final] ).
cnf(i_0_2104,plain,
times_times_int(X1,minus_minus_int(X2,X3)) = minus_minus_int(times_times_int(X1,X2),times_times_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1324]),
[final] ).
cnf(i_0_2105,plain,
( X1 = zero_zero_real
| plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1325]),
[final] ).
cnf(i_0_2106,plain,
( X1 = zero_zero_real
| plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1326]),
[final] ).
cnf(i_0_2107,plain,
( X1 = zero_zero_real
| plus_plus_real(times_times_real(X2,X2),times_times_real(X1,X1)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1325]),
[final] ).
cnf(i_0_2108,plain,
( X1 = zero_zero_real
| plus_plus_real(times_times_real(X2,X2),times_times_real(X1,X1)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1326]),
[final] ).
cnf(i_0_2109,plain,
( dvd_dvd_int(X1,X2)
| ~ zprime(X1)
| ~ dvd_dvd_int(X1,power_power_int(X2,X3))
| ~ ord_less_nat(zero_zero_nat,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1327]),
[final] ).
cnf(i_0_2110,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),pls)
| ~ ord_less_int(X1,pls) ),
inference(rw,[status(thm)],[i_0_1328,c_0_925]),
[final] ).
cnf(i_0_2111,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),min)
| ~ ord_less_int(X1,min) ),
inference(rw,[status(thm)],[i_0_1329,c_0_925]),
[final] ).
cnf(i_0_2112,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),zero_zero_int)
| ~ ord_less_int(X1,zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_1168]),
[final] ).
cnf(i_0_2113,plain,
( ord_less_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),zero_zero_int)
| ~ ord_less_int(X1,zero_zero_int) ),
inference(rw,[status(thm)],[i_0_1330,c_0_925]),
[final] ).
cnf(i_0_2114,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),pls)
| ~ ord_less_int(X1,pls) ),
inference(rw,[status(thm)],[i_0_1331,c_0_925]),
[final] ).
cnf(i_0_2115,plain,
( ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1),min)
| ~ ord_less_eq_int(X1,min) ),
inference(rw,[status(thm)],[i_0_1332,c_0_925]),
[final] ).
cnf(i_0_2116,plain,
( ord_less_int(pls,plus_plus_int(plus_plus_int(one_one_int,X1),X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(rw,[status(thm)],[i_0_1333,c_0_925]),
[final] ).
cnf(i_0_2117,plain,
( ord_less_int(min,plus_plus_int(plus_plus_int(one_one_int,X1),X1))
| ~ ord_less_int(min,X1) ),
inference(rw,[status(thm)],[i_0_1334,c_0_925]),
[final] ).
cnf(i_0_2118,plain,
( ord_less_eq_int(pls,plus_plus_int(plus_plus_int(one_one_int,X1),X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(rw,[status(thm)],[i_0_1335,c_0_925]),
[final] ).
cnf(i_0_2119,plain,
( ord_less_eq_int(min,plus_plus_int(plus_plus_int(one_one_int,X1),X1))
| ~ ord_less_eq_int(min,X1) ),
inference(rw,[status(thm)],[i_0_1336,c_0_925]),
[final] ).
cnf(i_0_2120,plain,
( X2 = X1
| ~ is_int(X1)
| ~ is_int(X2)
| ~ ord_less_eq_int(zero_zero_int,X2)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ~ dvd_dvd_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1337]),
[final] ).
cnf(i_0_2121,plain,
( X1 = minus_minus_int(X2,one_one_int)
| ord_less_int(X1,minus_minus_int(X2,one_one_int))
| ~ is_int(X1)
| ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1338]),
[final] ).
cnf(i_0_2122,plain,
( X1 = zero_zero_nat
| times_times_nat(X1,X2) = plus_plus_nat(X2,times_times_nat(minus_minus_nat(X1,one_one_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1339]),
[final] ).
cnf(i_0_2123,plain,
( X1 = zero_zero_nat
| power_power_nat(X2,X1) = times_times_nat(X2,power_power_nat(X2,minus_minus_nat(X1,one_one_nat))) ),
inference(split_conjunct,[status(thm)],[i_0_1340]),
[final] ).
cnf(i_0_2124,plain,
( dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(X1,X2)
| ~ dvd_dvd_nat(X1,plus_plus_nat(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1341]),
[final] ).
cnf(i_0_2125,plain,
( dvd_dvd_int(X1,X2)
| ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| ~ dvd_dvd_int(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1342]),
[final] ).
cnf(i_0_2126,plain,
( X1 = X2
| ~ zcong(X1,X2,zero_zero_int)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1343]),
[final] ).
cnf(i_0_2127,plain,
( dvd_dvd_int(X1,X2)
| dvd_dvd_int(X1,X3)
| ~ zprime(X1)
| ~ dvd_dvd_int(X1,times_times_int(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1344]),
[final] ).
cnf(i_0_2128,plain,
( dvd_dvd_int(X2,X1)
| ~ zcong(X1,zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1345]),
[final] ).
cnf(i_0_2129,plain,
( dvd_dvd_int(X2,X1)
| ~ zcong(X1,zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1346]),
[final] ).
cnf(i_0_2130,plain,
( legendre(X1,X2) = zero_zero_int
| ~ zcong(X1,zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1347]),
[final] ).
cnf(i_0_2131,plain,
minus_minus_int(pls,plus_plus_int(X1,X1)) = plus_plus_int(minus_minus_int(pls,X1),minus_minus_int(pls,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1348,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2132,plain,
( number_number_of_nat(X2) = zero_zero_nat
| ord_less_nat(zero_zero_nat,X1)
| ~ ord_less_nat(zero_zero_nat,power_power_nat(X1,number_number_of_nat(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1349]),
[final] ).
cnf(i_0_2133,plain,
( times_times_nat(number_number_of_nat(X1),number_number_of_nat(X2)) = number_number_of_nat(times_times_int(X1,X2))
| ~ ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1350]),
[final] ).
cnf(i_0_2134,plain,
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X2)) = number_number_of_nat(plus_plus_int(X1,X2))
| ~ ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1351]),
[final] ).
cnf(i_0_2135,plain,
( times_times_real(number267125858f_real(X1),number267125858f_real(X2)) = number267125858f_real(times_times_int(X1,X2))
| ~ ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1352]),
[final] ).
cnf(i_0_2136,plain,
( plus_plus_real(number267125858f_real(X1),number267125858f_real(X2)) = number267125858f_real(plus_plus_int(X1,X2))
| ~ ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1353]),
[final] ).
cnf(i_0_2137,plain,
( times_times_int(number_number_of_int(X1),number_number_of_int(X2)) = number_number_of_int(times_times_int(X1,X2))
| ~ ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1354]),
[final] ).
cnf(i_0_2138,plain,
( plus_plus_int(number_number_of_int(X1),number_number_of_int(X2)) = number_number_of_int(plus_plus_int(X1,X2))
| ~ ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1355]),
[final] ).
cnf(i_0_2139,plain,
( ord_less_int(zero_zero_int,X2)
| ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(zero_zero_int,times_times_int(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1356]),
[final] ).
cnf(i_0_2140,plain,
( legendre(X2,X1) = one_one_int
| zcong(X2,zero_zero_int,X1)
| ~ quadRes(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1347]),
[final] ).
cnf(i_0_2141,plain,
( ord_less_int(X1,X2)
| X1 = X2
| ~ ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1357]),
[final] ).
cnf(i_0_2142,plain,
( dvd_dvd_real(power_power_real(X1,X3),power_power_real(X2,X3))
| ~ dvd_dvd_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1358]),
[final] ).
cnf(i_0_2143,plain,
( dvd_dvd_real(power_power_real(X3,X1),power_power_real(X3,X2))
| ~ ord_less_eq_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1359]),
[final] ).
cnf(i_0_2144,plain,
( dvd_dvd_nat(times_times_nat(X1,X3),times_times_nat(X2,X3))
| ~ dvd_dvd_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1259]),
[final] ).
cnf(i_0_2145,plain,
( dvd_dvd_nat(times_times_nat(X1,X3),times_times_nat(X2,X3))
| ~ dvd_dvd_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1360]),
[final] ).
cnf(i_0_2146,plain,
( dvd_dvd_nat(times_times_nat(X3,X1),times_times_nat(X3,X2))
| ~ dvd_dvd_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1361]),
[final] ).
cnf(i_0_2147,plain,
( dvd_dvd_nat(power_power_nat(X1,X3),power_power_nat(X2,X3))
| ~ dvd_dvd_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1362]),
[final] ).
cnf(i_0_2148,plain,
( dvd_dvd_nat(power_power_nat(X1,X3),power_power_nat(X2,X3))
| ~ dvd_dvd_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1363]),
[final] ).
cnf(i_0_2149,plain,
( dvd_dvd_nat(power_power_nat(X3,X1),power_power_nat(X3,X2))
| ~ ord_less_eq_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1364]),
[final] ).
cnf(i_0_2150,plain,
( dvd_dvd_int(power_power_int(X1,X3),power_power_int(X2,X3))
| ~ dvd_dvd_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1365]),
[final] ).
cnf(i_0_2151,plain,
( dvd_dvd_int(power_power_int(X3,X1),power_power_int(X3,X2))
| ~ ord_less_eq_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1366]),
[final] ).
cnf(i_0_2152,plain,
( ord_less_eq_real(plus_plus_real(X3,X1),plus_plus_real(X3,X2))
| ~ ord_less_eq_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1367]),
[final] ).
cnf(i_0_2153,plain,
( ord_less_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1368,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2154,plain,
( ord_less_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2))
| ~ ord_less_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1369,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2155,plain,
( ord_less_int(plus_plus_int(X1,X3),plus_plus_int(X2,X3))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1370]),
[final] ).
cnf(i_0_2156,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1371,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2157,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),plus_plus_int(X2,X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1372,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2158,plain,
( ord_less_eq_int(plus_plus_int(X3,X1),plus_plus_int(X3,X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1373]),
[final] ).
cnf(i_0_2159,plain,
( plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)) = zero_zero_int
| X1 != zero_zero_int
| X2 != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1261]),
[final] ).
cnf(i_0_2160,plain,
number267125858f_real(plus_plus_int(X1,X1)) = plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(X1)),number267125858f_real(X1)),
inference(rw,[status(thm)],[i_0_1374,c_0_924]),
[final] ).
cnf(i_0_2161,plain,
number_number_of_int(plus_plus_int(X1,X1)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(X1)),number_number_of_int(X1)),
inference(rw,[status(thm)],[i_0_1375,c_0_924]),
[final] ).
cnf(i_0_2162,plain,
( dvd_dvd_int(X1,X2)
| ~ zprime(X1)
| ~ dvd_dvd_int(X1,power_power_int(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1376]),
[final] ).
cnf(i_0_2163,plain,
( quadRes(X1,X2)
| legendre(X2,X1) = number_number_of_int(min)
| zcong(X2,zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1347]),
[final] ).
cnf(i_0_2164,plain,
( ~ ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ~ ord_less_nat(number_number_of_nat(X2),number_number_of_nat(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1377]),
[final] ).
cnf(i_0_2165,plain,
( ~ ord_less_eq_real(number267125858f_real(X1),number267125858f_real(X2))
| ~ ord_less_real(number267125858f_real(X2),number267125858f_real(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1378]),
[final] ).
cnf(i_0_2166,plain,
( ~ ord_less_eq_int(number_number_of_int(X1),number_number_of_int(X2))
| ~ ord_less_int(number_number_of_int(X2),number_number_of_int(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1379]),
[final] ).
cnf(i_0_2167,plain,
( dvd_dvd_int(X2,power_power_int(X3,X1))
| ~ ord_less_nat(zero_zero_nat,X1)
| ~ dvd_dvd_int(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1380]),
[final] ).
cnf(i_0_2168,hypothesis,
( is_int(plus_plus_int(plus_plus_int(one_one_int,X1),X1))
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1381,c_0_925]),
[final] ).
cnf(i_0_2169,plain,
( ord_less_int(X1,pls)
| plus_plus_nat(number_number_of_nat(X2),number_number_of_nat(X1)) = number_number_of_nat(plus_plus_int(X2,X1))
| ord_less_int(X2,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1382]),
[final] ).
cnf(i_0_2170,plain,
( power_power_real(esk12_2(X1,X2),X2) = X1
| ~ ord_less_real(zero_zero_real,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1383]),
[final] ).
cnf(i_0_2171,plain,
plus_plus_int(plus_plus_int(one_one_int,X1),X1) != plus_plus_int(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1384,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_2172,plain,
plus_plus_int(plus_plus_int(one_one_int,X2),X2) != plus_plus_int(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1385,c_0_924]),c_0_925]),
[final] ).
cnf(i_0_2173,plain,
times_times_nat(times_times_nat(X1,X2),X3) = times_times_nat(times_times_nat(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1386]),
[final] ).
cnf(i_0_2174,plain,
plus_plus_nat(plus_plus_nat(X1,X2),X3) = plus_plus_nat(plus_plus_nat(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1387]),
[final] ).
cnf(i_0_2175,plain,
times_times_real(times_times_real(X1,X2),X3) = times_times_real(times_times_real(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1388]),
[final] ).
cnf(i_0_2176,plain,
plus_plus_real(plus_plus_real(X1,X2),X3) = plus_plus_real(plus_plus_real(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1389]),
[final] ).
cnf(i_0_2177,plain,
times_times_int(times_times_int(X1,X2),X3) = times_times_int(times_times_int(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1390]),
[final] ).
cnf(i_0_2178,plain,
plus_plus_int(plus_plus_int(X1,X2),X3) = plus_plus_int(plus_plus_int(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1391]),
[final] ).
cnf(i_0_2179,plain,
times_times_nat(times_times_nat(X1,X2),X3) = times_times_nat(X1,times_times_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1392]),
[final] ).
cnf(i_0_2180,plain,
times_times_nat(power_power_nat(X1,X2),X1) = times_times_nat(X1,power_power_nat(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1393]),
[final] ).
cnf(i_0_2181,plain,
power_power_nat(power_power_nat(X1,X2),X3) = power_power_nat(X1,times_times_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1394]),
[final] ).
cnf(i_0_2182,plain,
plus_plus_nat(plus_plus_nat(X1,X2),X3) = plus_plus_nat(X1,plus_plus_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1395]),
[final] ).
cnf(i_0_2183,plain,
times_times_real(times_times_real(X1,X2),X3) = times_times_real(X1,times_times_real(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1396]),
[final] ).
cnf(i_0_2184,plain,
times_times_real(times_times_real(X1,X2),X3) = times_times_real(X1,times_times_real(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1397]),
[final] ).
cnf(i_0_2185,plain,
times_times_real(power_power_real(X1,X2),X1) = times_times_real(X1,power_power_real(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1398]),
[final] ).
cnf(i_0_2186,plain,
power_power_real(power_power_real(X1,X2),X3) = power_power_real(X1,times_times_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1399]),
[final] ).
cnf(i_0_2187,plain,
plus_plus_real(plus_plus_real(X1,X2),X3) = plus_plus_real(X1,plus_plus_real(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1400]),
[final] ).
cnf(i_0_2188,plain,
power_power_int(power_power_int(X1,X2),X3) = power_power_int(X1,times_times_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1401]),
[final] ).
cnf(i_0_2189,plain,
power_power_int(power_power_int(X1,X2),X3) = power_power_int(X1,times_times_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1402]),
[final] ).
cnf(i_0_2190,plain,
times_times_int(power_power_int(X1,X2),X1) = times_times_int(X1,power_power_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1403]),
[final] ).
cnf(i_0_2191,plain,
times_times_int(times_times_int(X1,X2),X3) = times_times_int(X1,times_times_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1404]),
[final] ).
cnf(i_0_2192,plain,
times_times_int(times_times_int(X1,X2),X3) = times_times_int(X1,times_times_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1405]),
[final] ).
cnf(i_0_2193,plain,
plus_plus_int(plus_plus_int(X1,X2),X3) = plus_plus_int(X1,plus_plus_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1406]),
[final] ).
cnf(i_0_2194,plain,
plus_plus_int(plus_plus_int(X1,X2),X3) = plus_plus_int(X1,plus_plus_int(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1407]),
[final] ).
cnf(i_0_2195,plain,
times_times_nat(X1,times_times_nat(X2,X3)) = times_times_nat(times_times_nat(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1408]),
[final] ).
cnf(i_0_2196,plain,
power_power_nat(X1,times_times_nat(X2,X3)) = power_power_nat(power_power_nat(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1409]),
[final] ).
cnf(i_0_2197,plain,
plus_plus_nat(X1,plus_plus_nat(X2,X3)) = plus_plus_nat(plus_plus_nat(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1410]),
[final] ).
cnf(i_0_2198,plain,
times_times_real(X1,times_times_real(X2,X3)) = times_times_real(times_times_real(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1411]),
[final] ).
cnf(i_0_2199,plain,
power_power_real(X1,times_times_nat(X2,X3)) = power_power_real(power_power_real(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1412]),
[final] ).
cnf(i_0_2200,plain,
plus_plus_real(X1,plus_plus_real(X2,X3)) = plus_plus_real(plus_plus_real(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1413]),
[final] ).
cnf(i_0_2201,plain,
power_power_int(X1,times_times_nat(X2,X3)) = power_power_int(power_power_int(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1414]),
[final] ).
cnf(i_0_2202,plain,
times_times_int(X1,times_times_int(X2,X3)) = times_times_int(times_times_int(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1415]),
[final] ).
cnf(i_0_2203,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(plus_plus_int(X1,X2),X3),
inference(split_conjunct,[status(thm)],[i_0_1416]),
[final] ).
cnf(i_0_2204,plain,
times_times_nat(X1,times_times_nat(X2,X3)) = times_times_nat(X2,times_times_nat(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1417]),
[final] ).
cnf(i_0_2205,plain,
plus_plus_nat(X1,plus_plus_nat(X2,X3)) = plus_plus_nat(X2,plus_plus_nat(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1418]),
[final] ).
cnf(i_0_2206,plain,
times_times_real(X1,times_times_real(X2,X3)) = times_times_real(X2,times_times_real(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1419]),
[final] ).
cnf(i_0_2207,plain,
plus_plus_real(X1,plus_plus_real(X2,X3)) = plus_plus_real(X2,plus_plus_real(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1420]),
[final] ).
cnf(i_0_2208,plain,
times_times_int(X1,times_times_int(X2,X3)) = times_times_int(X2,times_times_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1421]),
[final] ).
cnf(i_0_2209,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1422]),
[final] ).
cnf(i_0_2210,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_1423]),
[final] ).
cnf(i_0_2211,plain,
( ord_less_nat(one_one_nat,power_power_nat(X1,X2))
| ~ ord_less_nat(one_one_nat,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1424]),
[final] ).
cnf(i_0_2212,plain,
( ord_less_real(zero_zero_real,esk12_2(X1,X2))
| ~ ord_less_real(zero_zero_real,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1383]),
[final] ).
cnf(i_0_2213,plain,
( ord_less_real(zero_zero_real,times_times_real(X1,X2))
| ~ ord_less_real(zero_zero_real,X1)
| ~ ord_less_real(zero_zero_real,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1425]),
[final] ).
cnf(i_0_2214,plain,
( ord_less_real(one_one_real,power_power_real(X1,X2))
| ~ ord_less_real(one_one_real,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1426]),
[final] ).
cnf(i_0_2215,plain,
( ord_less_int(one_one_int,power_power_int(X1,X2))
| ~ ord_less_int(one_one_int,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1427]),
[final] ).
cnf(i_0_2216,plain,
( ord_less_eq_int(zero_zero_int,times_times_int(X1,X2))
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1428]),
[final] ).
cnf(i_0_2217,plain,
( ord_less_eq_int(zero_zero_int,plus_plus_int(X1,X2))
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1429]),
[final] ).
cnf(i_0_2218,plain,
( X1 = zero_zero_nat
| dvd_dvd_nat(X2,X3)
| ~ dvd_dvd_nat(power_power_nat(X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_1430]),
[final] ).
cnf(i_0_2219,plain,
( times_times_nat(number_number_of_nat(X1),times_times_nat(number_number_of_nat(X2),X3)) = zero_zero_nat
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1173]),
[final] ).
cnf(i_0_2220,plain,
( ord_less_int(pls,X2)
| ~ ord_less_int(X1,X2)
| ~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1431]),
[final] ).
cnf(i_0_2221,plain,
plus_plus_nat(times_times_nat(X1,X2),X2) = times_times_nat(plus_plus_nat(X1,one_one_nat),X2),
inference(split_conjunct,[status(thm)],[i_0_1432]),
[final] ).
cnf(i_0_2222,plain,
plus_plus_real(times_times_real(X1,X2),X2) = times_times_real(plus_plus_real(X1,one_one_real),X2),
inference(split_conjunct,[status(thm)],[i_0_1433]),
[final] ).
cnf(i_0_2223,plain,
plus_plus_int(times_times_int(X1,X2),X2) = times_times_int(plus_plus_int(X1,one_one_int),X2),
inference(split_conjunct,[status(thm)],[i_0_1434]),
[final] ).
cnf(i_0_2224,plain,
plus_plus_nat(X1,times_times_nat(X2,X1)) = times_times_nat(plus_plus_nat(X2,one_one_nat),X1),
inference(split_conjunct,[status(thm)],[i_0_1435]),
[final] ).
cnf(i_0_2225,plain,
plus_plus_real(X1,times_times_real(X2,X1)) = times_times_real(plus_plus_real(X2,one_one_real),X1),
inference(split_conjunct,[status(thm)],[i_0_1436]),
[final] ).
cnf(i_0_2226,plain,
plus_plus_int(X1,times_times_int(X2,X1)) = times_times_int(plus_plus_int(X2,one_one_int),X1),
inference(split_conjunct,[status(thm)],[i_0_1437]),
[final] ).
cnf(i_0_2227,plain,
( zcong(X2,zero_zero_int,X1)
| ~ dvd_dvd_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1345]),
[final] ).
cnf(i_0_2228,plain,
( zcong(X2,zero_zero_int,X1)
| ~ dvd_dvd_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1346]),
[final] ).
cnf(i_0_2229,plain,
( X2 = zero_zero_nat
| ord_less_nat(zero_zero_nat,X1)
| ~ ord_less_nat(zero_zero_nat,power_power_nat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1438]),
[final] ).
cnf(i_0_2230,plain,
( ord_less_nat(zero_zero_nat,X1)
| X2 = zero_zero_nat
| ~ ord_less_nat(zero_zero_nat,power_power_nat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1439]),
[final] ).
cnf(i_0_2231,plain,
( ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(minus_minus_real(X1,X2),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_1440]),
[final] ).
cnf(i_0_2232,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(minus_minus_int(X1,X2),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_1441]),
[final] ).
cnf(i_0_2233,plain,
( ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1357]),
[final] ).
cnf(i_0_2234,plain,
( ord_less_eq_int(X1,X3)
| ord_less_eq_int(X3,X1)
| ~ ord_less_int(X1,X2)
| ~ ord_less_int(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1442]),
[final] ).
cnf(i_0_2235,plain,
( ord_less_int(pls,X1)
| ~ ord_less_int(pls,plus_plus_int(X1,X1)) ),
inference(rw,[status(thm)],[i_0_1443,c_0_924]),
[final] ).
cnf(i_0_2236,plain,
( ord_less_int(min,X1)
| ~ ord_less_int(min,plus_plus_int(X1,X1)) ),
inference(rw,[status(thm)],[i_0_1444,c_0_924]),
[final] ).
cnf(i_0_2237,plain,
( ord_less_int(min,X1)
| ~ ord_less_eq_int(min,plus_plus_int(X1,X1)) ),
inference(rw,[status(thm)],[i_0_1445,c_0_924]),
[final] ).
cnf(i_0_2238,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(pls,plus_plus_int(X1,X1)) ),
inference(rw,[status(thm)],[i_0_1446,c_0_924]),
[final] ).
cnf(i_0_2239,plain,
( ord_less_real(X1,zero_zero_real)
| ~ ord_less_real(plus_plus_real(X1,X1),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_1447]),
[final] ).
cnf(i_0_2240,plain,
( ord_less_int(X1,pls)
| ~ ord_less_int(plus_plus_int(X1,X1),pls) ),
inference(rw,[status(thm)],[i_0_1448,c_0_924]),
[final] ).
cnf(i_0_2241,plain,
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(plus_plus_int(X1,X1),zero_zero_int) ),
inference(rw,[status(thm)],[i_0_1449,c_0_924]),
[final] ).
cnf(i_0_2242,plain,
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(plus_plus_int(X1,X1),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_1450]),
[final] ).
cnf(i_0_2243,plain,
( ord_less_eq_int(X1,pls)
| ~ ord_less_eq_int(plus_plus_int(X1,X1),pls) ),
inference(rw,[status(thm)],[i_0_1451,c_0_924]),
[final] ).
cnf(i_0_2244,plain,
( ord_less_eq_int(X1,min)
| ~ ord_less_int(plus_plus_int(X1,X1),min) ),
inference(rw,[status(thm)],[i_0_1452,c_0_924]),
[final] ).
cnf(i_0_2245,plain,
( ord_less_eq_int(X1,min)
| ~ ord_less_eq_int(plus_plus_int(X1,X1),min) ),
inference(rw,[status(thm)],[i_0_1453,c_0_924]),
[final] ).
cnf(i_0_2246,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(plus_plus_int(X1,one_one_int),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1454]),
[final] ).
cnf(i_0_2247,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(X1,minus_minus_int(X2,one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1455]),
[final] ).
cnf(i_0_2248,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_int(X1,plus_plus_int(X2,one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1456]),
[final] ).
cnf(i_0_2249,plain,
( ord_less_nat(zero_zero_nat,power_power_nat(X1,number_number_of_nat(X2)))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1349]),
[final] ).
cnf(i_0_2250,plain,
( zcong(X1,X2,zero_zero_int)
| X1 != X2
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1343]),
[final] ).
cnf(i_0_2251,plain,
( plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)) = zero_zero_real
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1325]),
[final] ).
cnf(i_0_2252,plain,
( plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)) = zero_zero_real
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1326]),
[final] ).
cnf(i_0_2253,plain,
times_times_real(plus_plus_real(one_one_real,one_one_real),number267125858f_real(X1)) = number267125858f_real(plus_plus_int(X1,X1)),
inference(rw,[status(thm)],[i_0_1457,c_0_924]),
[final] ).
cnf(i_0_2254,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X1)) = number_number_of_int(plus_plus_int(X1,X1)),
inference(rw,[status(thm)],[i_0_1458,c_0_924]),
[final] ).
cnf(i_0_2255,plain,
( ord_less_nat(number_number_of_nat(X2),number_number_of_nat(X1))
| ~ ord_less_int(pls,X1)
| ~ ord_less_int(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1431]),
[final] ).
cnf(i_0_2256,plain,
( ord_less_eq_int(X1,X2)
| ord_less_eq_int(X1,pls)
| ~ ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1459]),
[final] ).
cnf(i_0_2257,plain,
( ord_less_int(X1,pls)
| times_times_nat(number_number_of_nat(X1),number_number_of_nat(X2)) = number_number_of_nat(times_times_int(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1460]),
[final] ).
cnf(i_0_2258,plain,
( dvd_dvd_nat(times_times_nat(X2,X1),times_times_nat(X3,X1))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1259]),
[final] ).
cnf(i_0_2259,plain,
( X1 = one_one_int
| X1 = X2
| ~ is_int(X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X1,X2)
| ~ zprime(X2)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2260,plain,
( min = X1
| min != plus_plus_int(plus_plus_int(one_one_int,X1),X1)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1462,c_0_925]),
[final] ).
cnf(i_0_2261,plain,
( X1 = min
| plus_plus_int(plus_plus_int(one_one_int,X1),X1) != min
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1463,c_0_925]),
[final] ).
cnf(i_0_2262,plain,
number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)) = one_one_real,
inference(rw,[status(thm)],[i_0_1464,c_0_925]),
[final] ).
cnf(i_0_2263,plain,
number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)) = one_one_real,
inference(rw,[status(thm)],[i_0_1465,c_0_925]),
[final] ).
cnf(i_0_2264,plain,
number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,pls),pls)) = one_one_nat,
inference(rw,[status(thm)],[i_0_1466,c_0_925]),
[final] ).
cnf(i_0_2265,plain,
number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,pls),pls)) = one_one_nat,
inference(rw,[status(thm)],[i_0_1467,c_0_925]),
[final] ).
cnf(i_0_2266,plain,
number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls)) = one_one_int,
inference(rw,[status(thm)],[i_0_1468,c_0_925]),
[final] ).
cnf(i_0_2267,plain,
number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls)) = one_one_int,
inference(rw,[status(thm)],[i_0_1469,c_0_925]),
[final] ).
cnf(i_0_2268,plain,
one_one_nat = number_number_of_nat(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(rw,[status(thm)],[i_0_1470,c_0_925]),
[final] ).
cnf(i_0_2269,plain,
one_one_real = number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(rw,[status(thm)],[i_0_1471,c_0_925]),
[final] ).
cnf(i_0_2270,plain,
one_one_int = number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(rw,[status(thm)],[i_0_1472,c_0_925]),
[final] ).
cnf(i_0_2271,plain,
one_one_int = number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(rw,[status(thm)],[i_0_1473,c_0_925]),
[final] ).
cnf(i_0_2272,plain,
( X2 = X3
| power_power_nat(X1,X2) != power_power_nat(X1,X3)
| ~ ord_less_nat(one_one_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1474]),
[final] ).
cnf(i_0_2273,plain,
( X2 = X3
| power_power_real(X1,X2) != power_power_real(X1,X3)
| ~ ord_less_real(one_one_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1475]),
[final] ).
cnf(i_0_2274,plain,
( X2 = X3
| power_power_int(X1,X2) != power_power_int(X1,X3)
| ~ ord_less_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1476]),
[final] ).
cnf(i_0_2275,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X1,X2)
| ~ dvd_dvd_int(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1477]),
[final] ).
cnf(i_0_2276,plain,
( plus_plus_nat(number_number_of_nat(X2),number_number_of_nat(X1)) = number_number_of_nat(X2)
| ord_less_int(X2,pls)
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1382]),
[final] ).
cnf(i_0_2277,plain,
( X1 != zero_zero_real
| ~ ord_less_real(zero_zero_real,times_times_real(X1,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1478]),
[final] ).
cnf(i_0_2278,plain,
( X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| ~ ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1479]),
[final] ).
cnf(i_0_2279,plain,
( ord_less_eq_real(minus_minus_real(X1,X2),zero_zero_real)
| ~ ord_less_eq_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1440]),
[final] ).
cnf(i_0_2280,plain,
( ord_less_int(minus_minus_int(X1,X2),zero_zero_int)
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1441]),
[final] ).
cnf(i_0_2281,plain,
( X1 = X2
| plus_plus_int(X1,X1) != plus_plus_int(X2,X2)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1480,c_0_924]),c_0_924]),
[final] ).
cnf(i_0_2282,plain,
( dvd_dvd_real(X2,power_power_real(X2,X1))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1481]),
[final] ).
cnf(i_0_2283,plain,
( dvd_dvd_nat(X2,power_power_nat(X2,X1))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1482]),
[final] ).
cnf(i_0_2284,plain,
( dvd_dvd_int(X2,power_power_int(X2,X1))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1483]),
[final] ).
cnf(i_0_2285,plain,
( ord_less_eq_int(plus_plus_int(X1,one_one_int),X2)
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1454]),
[final] ).
cnf(i_0_2286,plain,
( ord_less_eq_int(plus_plus_int(X1,one_one_int),X2)
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1484]),
[final] ).
cnf(i_0_2287,plain,
( ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1456]),
[final] ).
cnf(i_0_2288,plain,
( ord_less_eq_int(X1,minus_minus_int(X2,one_one_int))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1455]),
[final] ).
cnf(i_0_2289,plain,
( ord_less_eq_real(X1,X3)
| ~ ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1485]),
[final] ).
cnf(i_0_2290,plain,
( ord_less_eq_int(X1,X3)
| ~ ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1486]),
[final] ).
cnf(i_0_2291,plain,
( ord_less_real(plus_plus_real(X1,X1),zero_zero_real)
| ~ ord_less_real(X1,zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_1447]),
[final] ).
cnf(i_0_2292,plain,
( ord_less_int(plus_plus_int(X1,X1),pls)
| ~ ord_less_int(X1,pls) ),
inference(rw,[status(thm)],[i_0_1487,c_0_924]),
[final] ).
cnf(i_0_2293,plain,
( ord_less_int(plus_plus_int(X1,X1),min)
| ~ ord_less_eq_int(X1,min) ),
inference(rw,[status(thm)],[i_0_1488,c_0_924]),
[final] ).
cnf(i_0_2294,plain,
( ord_less_int(plus_plus_int(X1,X1),zero_zero_int)
| ~ ord_less_int(X1,zero_zero_int) ),
inference(rw,[status(thm)],[i_0_1489,c_0_924]),
[final] ).
cnf(i_0_2295,plain,
( ord_less_int(plus_plus_int(X1,X1),zero_zero_int)
| ~ ord_less_int(X1,zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_1450]),
[final] ).
cnf(i_0_2296,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),pls)
| ~ ord_less_eq_int(X1,pls) ),
inference(rw,[status(thm)],[i_0_1490,c_0_924]),
[final] ).
cnf(i_0_2297,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),min)
| ~ ord_less_eq_int(X1,min) ),
inference(rw,[status(thm)],[i_0_1491,c_0_924]),
[final] ).
cnf(i_0_2298,plain,
( ord_less_nat(zero_zero_nat,power_power_nat(X1,X2))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1438]),
[final] ).
cnf(i_0_2299,plain,
( ord_less_nat(zero_zero_nat,power_power_nat(X1,X2))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1439]),
[final] ).
cnf(i_0_2300,plain,
( ord_less_nat(zero_zero_nat,power_power_nat(X1,X2))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1492]),
[final] ).
cnf(i_0_2301,plain,
( ord_less_eq_nat(zero_zero_nat,power_power_nat(X1,X2))
| ~ ord_less_eq_nat(zero_zero_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1493]),
[final] ).
cnf(i_0_2302,plain,
( ord_less_eq_nat(one_one_nat,power_power_nat(X1,X2))
| ~ ord_less_eq_nat(one_one_nat,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1494]),
[final] ).
cnf(i_0_2303,plain,
( ord_less_real(zero_zero_real,power_power_real(X1,X2))
| ~ ord_less_real(zero_zero_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1495]),
[final] ).
cnf(i_0_2304,plain,
( ord_less_eq_real(zero_zero_real,power_power_real(X1,X2))
| ~ ord_less_eq_real(zero_zero_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1496]),
[final] ).
cnf(i_0_2305,plain,
( ord_less_eq_real(one_one_real,power_power_real(X1,X2))
| ~ ord_less_eq_real(one_one_real,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1497]),
[final] ).
cnf(i_0_2306,plain,
( ord_less_int(pls,plus_plus_int(X1,X1))
| ~ ord_less_int(pls,X1) ),
inference(rw,[status(thm)],[i_0_1498,c_0_924]),
[final] ).
cnf(i_0_2307,plain,
( ord_less_int(min,plus_plus_int(X1,X1))
| ~ ord_less_int(min,X1) ),
inference(rw,[status(thm)],[i_0_1499,c_0_924]),
[final] ).
cnf(i_0_2308,plain,
( ord_less_int(zero_zero_int,power_power_int(X1,X2))
| ~ ord_less_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1500]),
[final] ).
cnf(i_0_2309,plain,
( ord_less_eq_int(pls,plus_plus_int(X1,X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(rw,[status(thm)],[i_0_1501,c_0_924]),
[final] ).
cnf(i_0_2310,plain,
( ord_less_eq_int(min,plus_plus_int(X1,X1))
| ~ ord_less_int(min,X1) ),
inference(rw,[status(thm)],[i_0_1502,c_0_924]),
[final] ).
cnf(i_0_2311,plain,
( ord_less_eq_int(zero_zero_int,power_power_int(X1,X2))
| ~ ord_less_eq_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1503]),
[final] ).
cnf(i_0_2312,plain,
( ord_less_eq_int(zero_zero_int,power_power_int(X1,X2))
| ~ ord_less_eq_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1504]),
[final] ).
cnf(i_0_2313,plain,
( ord_less_eq_int(one_one_int,power_power_int(X1,X2))
| ~ ord_less_eq_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1505]),
[final] ).
cnf(i_0_2314,plain,
( X1 = one_one_int
| times_times_int(X1,X2) != one_one_int
| ~ ord_less_int(zero_zero_int,X1)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1506]),
[final] ).
cnf(i_0_2315,plain,
( X1 = one_one_int
| times_times_int(X2,X1) != one_one_int
| ~ ord_less_int(zero_zero_int,X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1506]),
[final] ).
cnf(i_0_2316,plain,
plus_plus_int(plus_plus_int(one_one_int,X1),X1) != pls,
inference(rw,[status(thm)],[i_0_1507,c_0_925]),
[final] ).
cnf(i_0_2317,plain,
plus_plus_int(plus_plus_int(one_one_int,X1),X1) != zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_1508]),
[final] ).
cnf(i_0_2318,plain,
pls != plus_plus_int(plus_plus_int(one_one_int,X1),X1),
inference(rw,[status(thm)],[i_0_1509,c_0_925]),
[final] ).
cnf(i_0_2319,plain,
( ord_less_nat(zero_zero_nat,power_power_nat(X2,number_number_of_nat(X1)))
| number_number_of_nat(X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1349]),
[final] ).
cnf(i_0_2320,plain,
( ord_less_eq_int(X1,X2)
| ~ dvd_dvd_int(X1,X2)
| ~ ord_less_int(zero_zero_int,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1510]),
[final] ).
cnf(i_0_2321,plain,
( ord_less_int(X1,X2)
| ~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1431]),
[final] ).
cnf(i_0_2322,plain,
( ord_less_int(X1,X2)
| ~ ord_less_real(number267125858f_real(X1),number267125858f_real(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1511]),
[final] ).
cnf(i_0_2323,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1512]),
[final] ).
cnf(i_0_2324,plain,
( ord_less_int(X1,X2)
| ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1513]),
[final] ).
cnf(i_0_2325,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_real(number267125858f_real(X1),number267125858f_real(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1514]),
[final] ).
cnf(i_0_2326,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(number_number_of_int(X1),number_number_of_int(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1515]),
[final] ).
cnf(i_0_2327,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_eq_int(number_number_of_int(X1),number_number_of_int(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1516]),
[final] ).
cnf(i_0_2328,plain,
times_times_real(number267125858f_real(X1),number267125858f_real(X2)) = number267125858f_real(times_times_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1517]),
[final] ).
cnf(i_0_2329,plain,
plus_plus_real(number267125858f_real(X1),number267125858f_real(X2)) = number267125858f_real(plus_plus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1518]),
[final] ).
cnf(i_0_2330,plain,
times_times_int(number_number_of_int(X1),number_number_of_int(X2)) = number_number_of_int(times_times_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1519]),
[final] ).
cnf(i_0_2331,plain,
times_times_int(number_number_of_int(X1),number_number_of_int(X2)) = number_number_of_int(times_times_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1520]),
[final] ).
cnf(i_0_2332,plain,
plus_plus_int(number_number_of_int(X1),number_number_of_int(X2)) = number_number_of_int(plus_plus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1521]),
[final] ).
cnf(i_0_2333,plain,
plus_plus_int(number_number_of_int(X1),number_number_of_int(X2)) = number_number_of_int(plus_plus_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1522]),
[final] ).
cnf(i_0_2334,plain,
number267125858f_real(times_times_int(X1,X2)) = times_times_real(number267125858f_real(X1),number267125858f_real(X2)),
inference(split_conjunct,[status(thm)],[i_0_1523]),
[final] ).
cnf(i_0_2335,plain,
number267125858f_real(plus_plus_int(X1,X2)) = plus_plus_real(number267125858f_real(X1),number267125858f_real(X2)),
inference(split_conjunct,[status(thm)],[i_0_1524]),
[final] ).
cnf(i_0_2336,plain,
number_number_of_int(times_times_int(X1,X2)) = times_times_int(number_number_of_int(X1),number_number_of_int(X2)),
inference(split_conjunct,[status(thm)],[i_0_1525]),
[final] ).
cnf(i_0_2337,plain,
number_number_of_int(plus_plus_int(X1,X2)) = plus_plus_int(number_number_of_int(X1),number_number_of_int(X2)),
inference(split_conjunct,[status(thm)],[i_0_1526]),
[final] ).
cnf(i_0_2338,plain,
number_number_of_int(minus_minus_int(X1,X2)) = minus_minus_int(number_number_of_int(X1),number_number_of_int(X2)),
inference(split_conjunct,[status(thm)],[i_0_1527]),
[final] ).
cnf(i_0_2339,plain,
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X1))
| ~ ord_less_eq_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1528]),
[final] ).
cnf(i_0_2340,plain,
( ord_less_int(X1,plus_plus_int(X2,one_one_int))
| X1 != X2
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1357]),
[final] ).
cnf(i_0_2341,plain,
zcong(X1,X1,X2),
inference(split_conjunct,[status(thm)],[i_0_1529]),
[final] ).
cnf(i_0_2342,plain,
( times_times_int(X1,X2) = one_one_int
| X1 != one_one_int
| X2 != one_one_int
| ~ ord_less_int(zero_zero_int,X1)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1506]),
[final] ).
cnf(i_0_2343,plain,
( X1 = X2
| ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1530]),
[final] ).
cnf(i_0_2344,plain,
( X1 = X2
| ord_less_int(X1,X2)
| ~ ord_less_eq_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1531]),
[final] ).
cnf(i_0_2345,plain,
( ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ord_less_eq_nat(number_number_of_nat(X2),number_number_of_nat(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1377]),
[final] ).
cnf(i_0_2346,plain,
( ord_less_real(number267125858f_real(X1),number267125858f_real(X2))
| ord_less_eq_real(number267125858f_real(X2),number267125858f_real(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1378]),
[final] ).
cnf(i_0_2347,plain,
( ord_less_int(number_number_of_int(X1),number_number_of_int(X2))
| ord_less_eq_int(number_number_of_int(X2),number_number_of_int(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1379]),
[final] ).
cnf(i_0_2348,plain,
zcong(X1,zero_zero_int,X1),
inference(split_conjunct,[status(thm)],[i_0_1532]),
[final] ).
cnf(i_0_2349,plain,
zcong(X1,X2,one_one_int),
inference(split_conjunct,[status(thm)],[i_0_1533]),
[final] ).
cnf(i_0_2350,plain,
( is_int(esk11_2(X1,X2))
| ~ quadRes(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_771]),
[final] ).
cnf(i_0_2351,plain,
( dvd_dvd_int(esk8_1(X1),X1)
| zprime(X1)
| ~ ord_less_int(one_one_int,X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2352,plain,
( ord_less_eq_int(X1,X2)
| ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1531]),
[final] ).
cnf(i_0_2353,plain,
( ord_less_eq_int(zero_zero_int,esk8_1(X1))
| zprime(X1)
| ~ ord_less_int(one_one_int,X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2354,plain,
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X2)) = number_number_of_nat(X2)
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1382]),
[final] ).
cnf(i_0_2355,plain,
( ord_less_eq_int(X2,zero_zero_int)
| ord_less_eq_int(X1,X2)
| ~ dvd_dvd_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1534]),
[final] ).
cnf(i_0_2356,plain,
( ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1459]),
[final] ).
cnf(i_0_2357,plain,
( ord_less_real(number267125858f_real(X1),number267125858f_real(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1511]),
[final] ).
cnf(i_0_2358,plain,
( ord_less_eq_real(number267125858f_real(X1),number267125858f_real(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1514]),
[final] ).
cnf(i_0_2359,plain,
( ord_less_int(number_number_of_int(X1),number_number_of_int(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1512]),
[final] ).
cnf(i_0_2360,plain,
( ord_less_int(number_number_of_int(X1),number_number_of_int(X2))
| ~ ord_less_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1513]),
[final] ).
cnf(i_0_2361,plain,
( ord_less_eq_int(number_number_of_int(X1),number_number_of_int(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1515]),
[final] ).
cnf(i_0_2362,plain,
( ord_less_eq_int(number_number_of_int(X1),number_number_of_int(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1516]),
[final] ).
cnf(i_0_2363,plain,
( X1 = X3
| X2 = zero_zero_real
| times_times_real(X1,X2) != times_times_real(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1535]),
[final] ).
cnf(i_0_2364,plain,
( X2 = X3
| X1 = zero_zero_real
| times_times_real(X1,X2) != times_times_real(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1536]),
[final] ).
cnf(i_0_2365,plain,
plus_plus_nat(X1,X1) = times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),X1),
inference(split_conjunct,[status(thm)],[i_0_1537]),
[final] ).
cnf(i_0_2366,plain,
plus_plus_real(X1,X1) = times_times_real(plus_plus_real(one_one_real,one_one_real),X1),
inference(split_conjunct,[status(thm)],[i_0_1538]),
[final] ).
cnf(i_0_2367,plain,
plus_plus_int(X1,X1) = times_times_int(plus_plus_int(one_one_int,one_one_int),X1),
inference(split_conjunct,[status(thm)],[i_0_1539]),
[final] ).
cnf(i_0_2368,plain,
( X1 = X2
| ~ dvd_dvd_nat(X1,X2)
| ~ dvd_dvd_nat(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1540]),
[final] ).
cnf(i_0_2369,plain,
( X1 = X2
| ~ ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1541]),
[final] ).
cnf(i_0_2370,plain,
( ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ~ ord_less_eq_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1459]),
[final] ).
cnf(i_0_2371,plain,
( times_times_nat(number_number_of_nat(X1),number_number_of_nat(X2)) = zero_zero_nat
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1460]),
[final] ).
cnf(i_0_2372,plain,
( plus_plus_int(plus_plus_int(one_one_int,X1),X1) = min
| X1 != min
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1542,c_0_925]),
[final] ).
cnf(i_0_2373,plain,
( min = plus_plus_int(plus_plus_int(one_one_int,X1),X1)
| min != X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1543,c_0_925]),
[final] ).
cnf(i_0_2374,plain,
( number_number_of_nat(X1) != zero_zero_nat
| power_power_int(X2,number_number_of_nat(X1)) != zero_zero_int
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1544]),
[final] ).
cnf(i_0_2375,plain,
( X1 = plus_plus_int(X3,X2)
| ~ is_int(X1)
| minus_minus_int(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_1545]),
[final] ).
cnf(i_0_2376,plain,
( ord_less_int(X1,X2)
| X1 = X2
| ord_less_int(X2,X1)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1546]),
[final] ).
cnf(i_0_2377,plain,
( twoSqu142715416sum2sq(times_times_int(X1,X2))
| ~ twoSqu142715416sum2sq(X1)
| ~ twoSqu142715416sum2sq(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1547]),
[final] ).
cnf(i_0_2378,plain,
( is_int(legendre(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1548]),
[final] ).
cnf(i_0_2379,hypothesis,
( is_int(times_times_int(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1549]),
[final] ).
cnf(i_0_2380,hypothesis,
( is_int(plus_plus_int(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1550]),
[final] ).
cnf(i_0_2381,plain,
( is_int(minus_minus_int(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1551]),
[final] ).
cnf(i_0_2382,plain,
( ord_less_int(pls,X1)
| ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1552]),
[final] ).
cnf(i_0_2383,plain,
( ord_less_int(pls,X1)
| ~ ord_less_real(zero_zero_real,number267125858f_real(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1553]),
[final] ).
cnf(i_0_2384,plain,
( ord_less_int(pls,X1)
| ~ ord_less_int(zero_zero_int,number_number_of_int(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1554]),
[final] ).
cnf(i_0_2385,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_eq_real(zero_zero_real,number267125858f_real(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1555]),
[final] ).
cnf(i_0_2386,plain,
( ord_less_eq_int(pls,X1)
| ~ ord_less_eq_int(zero_zero_int,number_number_of_int(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1556]),
[final] ).
cnf(i_0_2387,plain,
( ord_less_int(X1,pls)
| ~ ord_less_real(number267125858f_real(X1),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_1557]),
[final] ).
cnf(i_0_2388,plain,
( ord_less_int(X1,pls)
| ~ ord_less_int(number_number_of_int(X1),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_1558]),
[final] ).
cnf(i_0_2389,plain,
( ord_less_eq_int(X1,pls)
| ~ ord_less_eq_real(number267125858f_real(X1),zero_zero_real) ),
inference(split_conjunct,[status(thm)],[i_0_1559]),
[final] ).
cnf(i_0_2390,plain,
( ord_less_eq_int(X1,pls)
| ~ ord_less_eq_int(number_number_of_int(X1),zero_zero_int) ),
inference(split_conjunct,[status(thm)],[i_0_1560]),
[final] ).
cnf(i_0_2391,plain,
( is_int(esk8_1(X1))
| zprime(X1)
| ~ ord_less_int(one_one_int,X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2392,plain,
( dvd_dvd_real(X1,power_power_real(X1,X2))
| X1 != one_one_real ),
inference(split_conjunct,[status(thm)],[i_0_1481]),
[final] ).
cnf(i_0_2393,plain,
( dvd_dvd_nat(X1,power_power_nat(X1,X2))
| X1 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_1482]),
[final] ).
cnf(i_0_2394,plain,
( dvd_dvd_int(X1,power_power_int(X1,X2))
| X1 != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_1483]),
[final] ).
cnf(i_0_2395,plain,
( X1 = number_number_of_int(min)
| X1 = one_one_int
| times_times_int(X1,X2) != one_one_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1561]),
[final] ).
cnf(i_0_2396,plain,
( X1 = number_number_of_int(min)
| X1 = one_one_int
| times_times_int(X2,X1) != one_one_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1561]),
[final] ).
cnf(i_0_2397,plain,
( X1 = number_number_of_int(min)
| X2 = one_one_int
| times_times_int(X1,X2) != one_one_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1561]),
[final] ).
cnf(i_0_2398,plain,
( X1 = number_number_of_int(min)
| X2 = one_one_int
| times_times_int(X2,X1) != one_one_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1561]),
[final] ).
cnf(i_0_2399,plain,
( ord_less_nat(zero_zero_nat,power_power_nat(X2,X1))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1438]),
[final] ).
cnf(i_0_2400,plain,
( ord_less_nat(zero_zero_nat,power_power_nat(X2,X1))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1439]),
[final] ).
cnf(i_0_2401,plain,
( X1 = zero_zero_int
| power_power_int(X1,number_number_of_nat(X2)) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1544]),
[final] ).
cnf(i_0_2402,plain,
( times_times_int(X1,X2) = one_one_int
| X1 != number_number_of_int(min)
| X2 != number_number_of_int(min)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1561]),
[final] ).
cnf(i_0_2403,plain,
( X1 != X2
| ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1531]),
[final] ).
cnf(i_0_2404,plain,
( zprime(X1)
| esk8_1(X1) != X1
| ~ ord_less_int(one_one_int,X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2405,plain,
( ord_less_real(zero_zero_real,times_times_real(X1,X1))
| X1 = zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1478]),
[final] ).
cnf(i_0_2406,plain,
( X2 = zero_zero_int
| X1 != plus_plus_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1562]),
[final] ).
cnf(i_0_2407,plain,
( number_number_of_nat(X1) != zero_zero_nat
| power_power_nat(X2,number_number_of_nat(X1)) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1563]),
[final] ).
cnf(i_0_2408,plain,
( number_number_of_nat(X1) != zero_zero_nat
| power_power_real(X2,number_number_of_nat(X1)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1564]),
[final] ).
cnf(i_0_2409,plain,
( X1 = X2
| ord_less_nat(X1,X2)
| ~ ord_less_eq_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1565]),
[final] ).
cnf(i_0_2410,plain,
( ord_less_real(X1,X2)
| X1 = X2
| ~ ord_less_eq_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1566]),
[final] ).
cnf(i_0_2411,plain,
( X1 = X2
| ord_less_real(X1,X2)
| ~ ord_less_eq_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2412,plain,
( X1 = X2
| ord_less_real(X1,X2)
| ~ ord_less_eq_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1568]),
[final] ).
cnf(i_0_2413,plain,
( ord_less_real(number267125858f_real(X1),zero_zero_real)
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1557]),
[final] ).
cnf(i_0_2414,plain,
( ord_less_eq_real(number267125858f_real(X1),zero_zero_real)
| ~ ord_less_eq_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1559]),
[final] ).
cnf(i_0_2415,plain,
( ord_less_int(number_number_of_int(X1),zero_zero_int)
| ~ ord_less_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1558]),
[final] ).
cnf(i_0_2416,plain,
( ord_less_eq_int(number_number_of_int(X1),zero_zero_int)
| ~ ord_less_eq_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1560]),
[final] ).
cnf(i_0_2417,plain,
( ord_less_nat(zero_zero_nat,number_number_of_nat(X1))
| ~ ord_less_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1552]),
[final] ).
cnf(i_0_2418,plain,
( ord_less_real(zero_zero_real,number267125858f_real(X1))
| ~ ord_less_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1553]),
[final] ).
cnf(i_0_2419,plain,
( ord_less_eq_real(zero_zero_real,number267125858f_real(X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1555]),
[final] ).
cnf(i_0_2420,plain,
( ord_less_int(zero_zero_int,number_number_of_int(X1))
| ~ ord_less_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1554]),
[final] ).
cnf(i_0_2421,plain,
( ord_less_eq_int(zero_zero_int,number_number_of_int(X1))
| ~ ord_less_eq_int(pls,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1556]),
[final] ).
cnf(i_0_2422,plain,
( zprime(X1)
| esk8_1(X1) != one_one_int
| ~ ord_less_int(one_one_int,X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2423,plain,
( X2 = zero_zero_nat
| ord_less_eq_nat(X1,X2)
| ~ dvd_dvd_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1569]),
[final] ).
cnf(i_0_2424,hypothesis,
( is_int(power_power_int(X1,X2))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1570]),
[final] ).
cnf(i_0_2425,hypothesis,
( is_int(plus_plus_int(X1,X1))
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1571,c_0_924]),
[final] ).
cnf(i_0_2426,plain,
( power_power_int(number_number_of_int(min),X1) = one_one_int
| power_power_int(number_number_of_int(min),X1) = number_number_of_int(min) ),
inference(split_conjunct,[status(thm)],[i_0_1572]),
[final] ).
cnf(i_0_2427,plain,
( ord_less_eq_real(X1,X2)
| ~ ord_less_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1566]),
[final] ).
cnf(i_0_2428,plain,
( ord_less_eq_real(X1,X2)
| ~ ord_less_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2429,plain,
( X1 = one_one_int
| X1 = number_number_of_int(min)
| ~ is_int(X1)
| times_times_int(X1,X2) != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_1573]),
[final] ).
cnf(i_0_2430,plain,
( number_number_of_nat(X2) = zero_zero_nat
| power_power_int(X1,number_number_of_nat(X2)) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1544]),
[final] ).
cnf(i_0_2431,plain,
( X1 = zero_zero_nat
| power_power_nat(X1,number_number_of_nat(X2)) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1563]),
[final] ).
cnf(i_0_2432,plain,
( X1 = zero_zero_real
| power_power_real(X1,number_number_of_nat(X2)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1564]),
[final] ).
cnf(i_0_2433,plain,
( times_times_int(X1,X2) = one_one_int
| X1 != one_one_int
| X2 != one_one_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1561]),
[final] ).
cnf(i_0_2434,plain,
( ord_less_int(zero_zero_int,X1)
| ~ ord_less_eq_int(one_one_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1574]),
[final] ).
cnf(i_0_2435,plain,
( ord_less_eq_int(one_one_int,X1)
| ~ ord_less_int(zero_zero_int,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1574]),
[final] ).
cnf(i_0_2436,plain,
plus_plus_int(plus_plus_int(one_one_int,min),min) = min,
inference(rw,[status(thm)],[i_0_1575,c_0_925]),
[final] ).
cnf(i_0_2437,plain,
( X1 != zero_zero_nat
| power_power_int(X2,X1) != zero_zero_int
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1576]),
[final] ).
cnf(i_0_2438,plain,
( X2 = plus_plus_int(X2,X1)
| X1 != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1562]),
[final] ).
cnf(i_0_2439,plain,
( pls = X1
| pls != plus_plus_int(X1,X1)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1577,c_0_924]),
[final] ).
cnf(i_0_2440,plain,
( X1 = pls
| plus_plus_int(X1,X1) != pls
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1578,c_0_924]),
[final] ).
cnf(i_0_2441,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| power_power_int(X1,X2) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_1579]),
[final] ).
cnf(i_0_2442,plain,
( X1 = zero_zero_int
| power_power_int(X1,X2) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1576]),
[final] ).
cnf(i_0_2443,plain,
( X1 = zero_zero_int
| plus_plus_int(X1,X1) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1580]),
[final] ).
cnf(i_0_2444,plain,
( X1 = X2
| number267125858f_real(X1) != number267125858f_real(X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1581]),
[final] ).
cnf(i_0_2445,plain,
( X1 = X2
| number_number_of_int(X1) != number_number_of_int(X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1582]),
[final] ).
cnf(i_0_2446,plain,
( ord_less_eq_real(X1,X2)
| ord_less_eq_real(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1583]),
[final] ).
cnf(i_0_2447,plain,
( ord_less_eq_int(X1,X2)
| ord_less_eq_int(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1584]),
[final] ).
cnf(i_0_2448,plain,
times_times_nat(X1,X2) = times_times_nat(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1585]),
[final] ).
cnf(i_0_2449,plain,
plus_plus_nat(X1,X2) = plus_plus_nat(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1586]),
[final] ).
cnf(i_0_2450,plain,
times_times_real(X1,X2) = times_times_real(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1587]),
[final] ).
cnf(i_0_2451,plain,
times_times_real(X1,X2) = times_times_real(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1588]),
[final] ).
cnf(i_0_2452,plain,
plus_plus_real(X1,X2) = plus_plus_real(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1589]),
[final] ).
cnf(i_0_2453,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1590]),
[final] ).
cnf(i_0_2454,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1591]),
[final] ).
cnf(i_0_2455,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1592]),
[final] ).
cnf(i_0_2456,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_1593]),
[final] ).
cnf(i_0_2457,plain,
( number_number_of_nat(X2) = zero_zero_nat
| power_power_nat(X1,number_number_of_nat(X2)) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1563]),
[final] ).
cnf(i_0_2458,plain,
( number_number_of_nat(X2) = zero_zero_nat
| power_power_real(X1,number_number_of_nat(X2)) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1564]),
[final] ).
cnf(i_0_2459,plain,
( ord_less_int(one_one_int,X1)
| ~ zprime(X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2460,plain,
( X1 != X2
| ~ ord_less_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2461,plain,
( power_power_nat(zero_zero_nat,number_number_of_nat(X1)) = one_one_nat
| number_number_of_nat(X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1594]),
[final] ).
cnf(i_0_2462,plain,
( power_power_real(zero_zero_real,number_number_of_nat(X1)) = one_one_real
| number_number_of_nat(X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1595]),
[final] ).
cnf(i_0_2463,plain,
( power_power_int(zero_zero_int,number_number_of_nat(X1)) = one_one_int
| number_number_of_nat(X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1596]),
[final] ).
cnf(i_0_2464,plain,
( X1 = one_one_nat
| X2 = zero_zero_nat
| power_power_nat(X1,X2) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_1597]),
[final] ).
cnf(i_0_2465,plain,
( X2 = zero_zero_nat
| power_power_int(X1,X2) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1576]),
[final] ).
cnf(i_0_2466,plain,
( plus_plus_int(number_number_of_int(pls),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1598]),
[final] ).
cnf(i_0_2467,plain,
( plus_plus_int(X1,number_number_of_int(pls)) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1599]),
[final] ).
cnf(i_0_2468,plain,
( X2 = zero_zero_nat
| X1 != plus_plus_nat(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1600]),
[final] ).
cnf(i_0_2469,plain,
( X2 = zero_zero_real
| X1 != plus_plus_real(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1601]),
[final] ).
cnf(i_0_2470,plain,
( X1 != zero_zero_nat
| power_power_nat(X2,X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1602]),
[final] ).
cnf(i_0_2471,plain,
( X1 != zero_zero_nat
| power_power_nat(X2,X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1603]),
[final] ).
cnf(i_0_2472,plain,
( X1 != zero_zero_nat
| power_power_real(X2,X1) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1604]),
[final] ).
cnf(i_0_2473,plain,
( number_number_of_nat(X1) = zero_zero_nat
| ~ ord_less_eq_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1605]),
[final] ).
cnf(i_0_2474,plain,
( zero_zero_nat = number_number_of_nat(X1)
| ~ ord_less_eq_int(X1,pls) ),
inference(split_conjunct,[status(thm)],[i_0_1606]),
[final] ).
cnf(i_0_2475,plain,
( X1 = zero_zero_nat
| power_power_nat(X1,X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1602]),
[final] ).
cnf(i_0_2476,plain,
( X1 = zero_zero_nat
| power_power_nat(X1,X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1603]),
[final] ).
cnf(i_0_2477,plain,
( X1 = zero_zero_real
| power_power_real(X1,X2) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1607]),
[final] ).
cnf(i_0_2478,plain,
( X1 = zero_zero_real
| power_power_real(X1,X2) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1604]),
[final] ).
cnf(i_0_2479,plain,
( X1 = zero_zero_real
| plus_plus_real(X1,X1) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1608]),
[final] ).
cnf(i_0_2480,plain,
( X1 = one_one_nat
| times_times_nat(X1,X2) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_1609]),
[final] ).
cnf(i_0_2481,plain,
( X1 = one_one_nat
| times_times_nat(X2,X1) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_1609]),
[final] ).
cnf(i_0_2482,plain,
( plus_plus_int(X1,X1) = pls
| X1 != pls
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1610,c_0_924]),
[final] ).
cnf(i_0_2483,plain,
( plus_plus_int(X1,X1) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1580]),
[final] ).
cnf(i_0_2484,plain,
( pls = plus_plus_int(X1,X1)
| pls != X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1611,c_0_924]),
[final] ).
cnf(i_0_2485,plain,
( number_number_of_nat(X1) = zero_zero_nat
| power_power_nat(zero_zero_nat,number_number_of_nat(X1)) = zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1594]),
[final] ).
cnf(i_0_2486,plain,
( number_number_of_nat(X1) = zero_zero_nat
| power_power_real(zero_zero_real,number_number_of_nat(X1)) = zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1595]),
[final] ).
cnf(i_0_2487,plain,
( number_number_of_nat(X1) = zero_zero_nat
| power_power_int(zero_zero_int,number_number_of_nat(X1)) = zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_1596]),
[final] ).
cnf(i_0_2488,plain,
plus_plus_int(X1,X1) != min,
inference(rw,[status(thm)],[i_0_1612,c_0_924]),
[final] ).
cnf(i_0_2489,plain,
min != plus_plus_int(X1,X1),
inference(rw,[status(thm)],[i_0_1613,c_0_924]),
[final] ).
cnf(i_0_2490,plain,
( is_int(esk4_0)
| ~ ord_less_int(one_one_int,t) ),
inference(split_conjunct,[status(thm)],[i_0_747]),
[final] ).
cnf(i_0_2491,plain,
( is_int(esk3_0)
| ~ ord_less_int(one_one_int,t) ),
inference(split_conjunct,[status(thm)],[i_0_747]),
[final] ).
cnf(i_0_2492,plain,
( times_times_int(one_one_int,X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1614]),
[final] ).
cnf(i_0_2493,plain,
( times_times_int(one_one_int,X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1615]),
[final] ).
cnf(i_0_2494,plain,
( plus_plus_int(pls,X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1616]),
[final] ).
cnf(i_0_2495,plain,
( plus_plus_int(zero_zero_int,X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1617]),
[final] ).
cnf(i_0_2496,plain,
( plus_plus_int(zero_zero_int,X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1618]),
[final] ).
cnf(i_0_2497,plain,
( power_power_int(X1,one_one_nat) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1619]),
[final] ).
cnf(i_0_2498,plain,
( power_power_int(X1,one_one_nat) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1620]),
[final] ).
cnf(i_0_2499,plain,
( times_times_int(X1,one_one_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1621]),
[final] ).
cnf(i_0_2500,plain,
( times_times_int(X1,one_one_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1622]),
[final] ).
cnf(i_0_2501,plain,
( plus_plus_int(X1,pls) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1623]),
[final] ).
cnf(i_0_2502,plain,
( plus_plus_int(X1,zero_zero_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1624]),
[final] ).
cnf(i_0_2503,plain,
( plus_plus_int(X1,zero_zero_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1625]),
[final] ).
cnf(i_0_2504,plain,
( minus_minus_int(X1,pls) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1626]),
[final] ).
cnf(i_0_2505,plain,
( ord_less_eq_int(X1,pls)
| number_number_of_nat(X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1605]),
[final] ).
cnf(i_0_2506,plain,
( ord_less_eq_int(X1,pls)
| zero_zero_nat != number_number_of_nat(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1606]),
[final] ).
cnf(i_0_2507,plain,
( times_times_nat(X1,X2) = one_one_nat
| X1 != one_one_nat
| X2 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_1609]),
[final] ).
cnf(i_0_2508,plain,
( X1 = zero_zero_nat
| power_power_nat(X2,X1) = zero_zero_nat
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1602]),
[final] ).
cnf(i_0_2509,plain,
( X2 = zero_zero_nat
| power_power_nat(X1,X2) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1603]),
[final] ).
cnf(i_0_2510,plain,
( X2 = zero_zero_nat
| power_power_real(X1,X2) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1604]),
[final] ).
cnf(i_0_2511,plain,
plus_plus_real(number267125858f_real(pls),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1627]),
[final] ).
cnf(i_0_2512,plain,
plus_plus_real(X1,number267125858f_real(pls)) = X1,
inference(split_conjunct,[status(thm)],[i_0_1628]),
[final] ).
cnf(i_0_2513,plain,
( dvd_dvd_nat(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1540]),
[final] ).
cnf(i_0_2514,plain,
( dvd_dvd_nat(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1540]),
[final] ).
cnf(i_0_2515,plain,
( ord_less_eq_real(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1566]),
[final] ).
cnf(i_0_2516,plain,
~ ord_less_int(pls,pls),
inference(split_conjunct,[status(thm)],[i_0_1629]),
[final] ).
cnf(i_0_2517,plain,
~ ord_less_int(pls,min),
inference(split_conjunct,[status(thm)],[i_0_1630]),
[final] ).
cnf(i_0_2518,plain,
~ ord_less_int(pls,zero_zero_int),
inference(split_conjunct,[status(thm)],[i_0_1631]),
[final] ).
cnf(i_0_2519,plain,
~ ord_less_int(min,min),
inference(split_conjunct,[status(thm)],[i_0_1632]),
[final] ).
cnf(i_0_2520,plain,
~ ord_less_eq_int(pls,min),
inference(split_conjunct,[status(thm)],[i_0_1633]),
[final] ).
cnf(i_0_2521,hypothesis,
( is_int(number_number_of_int(X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1634]),
[final] ).
cnf(i_0_2522,plain,
( X2 = plus_plus_nat(X2,X1)
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1600]),
[final] ).
cnf(i_0_2523,plain,
( X2 = plus_plus_real(X2,X1)
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1601]),
[final] ).
cnf(i_0_2524,plain,
( times_times_nat(X1,X2) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1339]),
[final] ).
cnf(i_0_2525,plain,
( power_power_nat(X1,X2) = one_one_nat
| X1 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_1597]),
[final] ).
cnf(i_0_2526,plain,
( power_power_nat(X2,X1) = one_one_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1597]),
[final] ).
cnf(i_0_2527,plain,
( power_power_nat(X2,X1) = one_one_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1340]),
[final] ).
cnf(i_0_2528,plain,
( plus_plus_real(X1,X1) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1608]),
[final] ).
cnf(i_0_2529,plain,
( power_power_nat(zero_zero_nat,X1) = one_one_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1635]),
[final] ).
cnf(i_0_2530,plain,
( power_power_real(zero_zero_real,X1) = one_one_real
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1636]),
[final] ).
cnf(i_0_2531,plain,
( power_power_int(zero_zero_int,X1) = one_one_int
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1637]),
[final] ).
cnf(i_0_2532,plain,
( X1 = zero_zero_nat
| power_power_nat(zero_zero_nat,X1) = zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1635]),
[final] ).
cnf(i_0_2533,plain,
( X1 = zero_zero_nat
| power_power_real(zero_zero_real,X1) = zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1636]),
[final] ).
cnf(i_0_2534,plain,
( X1 = zero_zero_nat
| power_power_int(zero_zero_int,X1) = zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_1637]),
[final] ).
cnf(i_0_2535,plain,
ord_less_eq_real(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_1638]),
[final] ).
cnf(i_0_2536,plain,
ord_less_eq_int(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_1639]),
[final] ).
cnf(i_0_2537,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1640]),
[final] ).
cnf(i_0_2538,plain,
plus_plus_nat(zero_zero_nat,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1641]),
[final] ).
cnf(i_0_2539,plain,
times_times_real(one_one_real,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1642]),
[final] ).
cnf(i_0_2540,plain,
times_times_real(one_one_real,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1643]),
[final] ).
cnf(i_0_2541,plain,
plus_plus_real(zero_zero_real,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1644]),
[final] ).
cnf(i_0_2542,plain,
times_times_nat(X1,one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_1645]),
[final] ).
cnf(i_0_2543,plain,
power_power_nat(X1,one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_1646]),
[final] ).
cnf(i_0_2544,plain,
power_power_nat(X1,one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_1647]),
[final] ).
cnf(i_0_2545,plain,
plus_plus_nat(X1,zero_zero_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_1648]),
[final] ).
cnf(i_0_2546,plain,
times_times_real(X1,one_one_real) = X1,
inference(split_conjunct,[status(thm)],[i_0_1649]),
[final] ).
cnf(i_0_2547,plain,
power_power_real(X1,one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_1650]),
[final] ).
cnf(i_0_2548,plain,
power_power_real(X1,one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_1651]),
[final] ).
cnf(i_0_2549,plain,
plus_plus_real(X1,zero_zero_real) = X1,
inference(split_conjunct,[status(thm)],[i_0_1652]),
[final] ).
cnf(i_0_2550,plain,
times_times_nat(zero_zero_nat,X1) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_1653]),
[final] ).
cnf(i_0_2551,plain,
power_power_nat(one_one_nat,X1) = one_one_nat,
inference(split_conjunct,[status(thm)],[i_0_1654]),
[final] ).
cnf(i_0_2552,plain,
times_times_real(zero_zero_real,X1) = zero_zero_real,
inference(split_conjunct,[status(thm)],[i_0_1655]),
[final] ).
cnf(i_0_2553,plain,
power_power_real(one_one_real,X1) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_1656]),
[final] ).
cnf(i_0_2554,plain,
power_power_int(one_one_int,X1) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_1657]),
[final] ).
cnf(i_0_2555,plain,
times_times_int(pls,X1) = pls,
inference(split_conjunct,[status(thm)],[i_0_1658]),
[final] ).
cnf(i_0_2556,plain,
times_times_int(zero_zero_int,X1) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_1659]),
[final] ).
cnf(i_0_2557,plain,
times_times_nat(X1,zero_zero_nat) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_1660]),
[final] ).
cnf(i_0_2558,plain,
power_power_nat(X1,zero_zero_nat) = one_one_nat,
inference(split_conjunct,[status(thm)],[i_0_1661]),
[final] ).
cnf(i_0_2559,plain,
power_power_nat(X1,zero_zero_nat) = one_one_nat,
inference(split_conjunct,[status(thm)],[i_0_1662]),
[final] ).
cnf(i_0_2560,plain,
times_times_real(X1,zero_zero_real) = zero_zero_real,
inference(split_conjunct,[status(thm)],[i_0_1663]),
[final] ).
cnf(i_0_2561,plain,
power_power_real(X1,zero_zero_nat) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_1664]),
[final] ).
cnf(i_0_2562,plain,
power_power_real(X1,zero_zero_nat) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_1665]),
[final] ).
cnf(i_0_2563,plain,
power_power_int(X1,zero_zero_nat) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_1666]),
[final] ).
cnf(i_0_2564,plain,
power_power_int(X1,zero_zero_nat) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_1667]),
[final] ).
cnf(i_0_2565,plain,
times_times_int(X1,zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_1668]),
[final] ).
cnf(i_0_2566,plain,
( number_number_of_int(X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1669]),
[final] ).
cnf(i_0_2567,plain,
ord_less_int(min,pls),
inference(split_conjunct,[status(thm)],[fact_526_rel__simps_I6_J]),
[final] ).
cnf(i_0_2568,plain,
ord_less_int(min,zero_zero_int),
inference(split_conjunct,[status(thm)],[fact_528_bin__less__0__simps_I2_J]),
[final] ).
cnf(i_0_2569,plain,
ord_less_int(zero_zero_int,one_one_int),
inference(split_conjunct,[status(thm)],[fact_400_int__0__less__1]),
[final] ).
cnf(i_0_2570,plain,
ord_less_eq_int(pls,pls),
inference(split_conjunct,[status(thm)],[fact_70_rel__simps_I19_J]),
[final] ).
cnf(i_0_2571,plain,
ord_less_eq_int(min,pls),
inference(split_conjunct,[status(thm)],[fact_532_rel__simps_I23_J]),
[final] ).
cnf(i_0_2572,plain,
ord_less_eq_int(min,min),
inference(split_conjunct,[status(thm)],[fact_521_rel__simps_I24_J]),
[final] ).
cnf(i_0_2573,plain,
ord_less_eq_int(zero_zero_int,esk7_0),
inference(split_conjunct,[status(thm)],[i_0_734]),
[final] ).
cnf(i_0_2574,plain,
ord_less_eq_int(zero_zero_int,esk6_0),
inference(split_conjunct,[status(thm)],[i_0_728]),
[final] ).
cnf(i_0_2575,plain,
ord_less_eq_int(zero_zero_int,s),
inference(split_conjunct,[status(thm)],[fact_305_s0p]),
[final] ).
cnf(i_0_2576,plain,
ord_less_eq_int(zero_zero_int,zero_zero_int),
inference(split_conjunct,[status(thm)],[fact_691_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J]),
[final] ).
cnf(i_0_2577,plain,
ord_less_eq_int(zero_zero_int,one_one_int),
inference(split_conjunct,[status(thm)],[fact_692_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J]),
[final] ).
cnf(i_0_2578,plain,
ord_less_eq_int(one_one_int,t),
inference(split_conjunct,[status(thm)],[fact_0_tpos]),
[final] ).
cnf(i_0_2579,plain,
plus_plus_int(pls,pls) = pls,
inference(rw,[status(thm)],[i_0_1670,c_0_924]),
[final] ).
cnf(i_0_2580,plain,
is_int(twoSqu140629262sum2sq(X1)),
inference(split_conjunct,[status(thm)],[i_0_1671]),
[final] ).
cnf(i_0_2581,plain,
number_number_of_int(pls) != number_number_of_int(min),
inference(split_conjunct,[status(thm)],[fact_534_eq__number__of__Pls__Min]),
[final] ).
cnf(i_0_2582,plain,
is_int(undefined_int(int)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Int__Oint]),
[final] ).
cnf(i_0_2583,plain,
( is_int(esk2_0)
| t != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_748]),
[final] ).
cnf(i_0_2584,plain,
( is_int(esk1_0)
| t != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_748]),
[final] ).
cnf(i_0_2585,plain,
is_int(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_732]),
[final] ).
cnf(i_0_2586,plain,
is_int(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_734]),
[final] ).
cnf(i_0_2587,plain,
is_int(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_728]),
[final] ).
cnf(i_0_2588,plain,
is_int(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_733]),
[final] ).
cnf(i_0_2589,plain,
is_int(t),
inference(split_conjunct,[status(thm)],[gsy_v_t____]),
[final] ).
cnf(i_0_2590,plain,
is_int(s),
inference(split_conjunct,[status(thm)],[gsy_v_s____]),
[final] ).
cnf(i_0_2591,plain,
is_int(s1),
inference(split_conjunct,[status(thm)],[gsy_v_s1____]),
[final] ).
cnf(i_0_2592,hypothesis,
is_int(m),
inference(split_conjunct,[status(thm)],[gsy_v_m]),
[final] ).
cnf(i_0_2593,hypothesis,
is_int(pls),
inference(split_conjunct,[status(thm)],[gsy_c_Int_OPls]),
[final] ).
cnf(i_0_2594,plain,
is_int(min),
inference(split_conjunct,[status(thm)],[gsy_c_Int_OMin]),
[final] ).
cnf(i_0_2595,plain,
is_int(zero_zero_int),
inference(split_conjunct,[status(thm)],[gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint]),
[final] ).
cnf(i_0_2596,hypothesis,
is_int(one_one_int),
inference(split_conjunct,[status(thm)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]),
[final] ).
cnf(i_0_2597,plain,
number267125858f_real(pls) = zero_zero_real,
inference(split_conjunct,[status(thm)],[fact_393_semiring__numeral__0__eq__0]),
[final] ).
cnf(i_0_2598,plain,
number267125858f_real(pls) = zero_zero_real,
inference(split_conjunct,[status(thm)],[fact_391_number__of__Pls]),
[final] ).
cnf(i_0_2599,plain,
number_number_of_nat(pls) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_542_nat__number__of__Pls]),
[final] ).
cnf(i_0_2600,plain,
number_number_of_nat(pls) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_394_semiring__numeral__0__eq__0]),
[final] ).
cnf(i_0_2601,plain,
number_number_of_int(pls) = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_395_semiring__numeral__0__eq__0]),
[final] ).
cnf(i_0_2602,plain,
number_number_of_int(pls) = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_392_number__of__Pls]),
[final] ).
cnf(i_0_2603,plain,
zero_zero_nat = number_number_of_nat(pls),
inference(split_conjunct,[status(thm)],[fact_543_semiring__norm_I113_J]),
[final] ).
cnf(i_0_2604,plain,
zero_zero_real = number267125858f_real(pls),
inference(split_conjunct,[status(thm)],[fact_389_semiring__norm_I112_J]),
[final] ).
cnf(i_0_2605,plain,
zero_zero_int = number_number_of_int(pls),
inference(split_conjunct,[status(thm)],[fact_399_zero__is__num__zero]),
[final] ).
cnf(i_0_2606,plain,
zero_zero_int = number_number_of_int(pls),
inference(split_conjunct,[status(thm)],[fact_390_semiring__norm_I112_J]),
[final] ).
cnf(i_0_2607,plain,
zero_zero_real != one_one_real,
inference(split_conjunct,[status(thm)],[fact_661_real__zero__not__eq__one]),
[final] ).
cnf(i_0_2608,plain,
min != pls,
inference(split_conjunct,[status(thm)],[fact_517_rel__simps_I40_J]),
[final] ).
cnf(i_0_2609,plain,
pls != min,
inference(split_conjunct,[status(thm)],[fact_516_rel__simps_I37_J]),
[final] ).
cnf(i_0_2610,plain,
zero_zero_int != one_one_int,
inference(split_conjunct,[status(thm)],[fact_357_int__0__neq__1]),
[final] ).
cnf(i_0_2611,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_356_Pls__def]),
[final] ).
cnf(i_0_2612,axiom,
X1 = X1 ).
cnf(i_0_2613,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_2614,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_2615,axiom,
( X1 != X2
| power_power_int(X1,X3) = power_power_int(X2,X3) ) ).
cnf(i_0_2616,axiom,
( X1 != X2
| power_power_int(X3,X1) = power_power_int(X3,X2) ) ).
cnf(i_0_2617,axiom,
( X1 != X2
| power_power_nat(X1,X3) = power_power_nat(X2,X3) ) ).
cnf(i_0_2618,axiom,
( X1 != X2
| power_power_nat(X3,X1) = power_power_nat(X3,X2) ) ).
cnf(i_0_2619,axiom,
( X1 != X2
| plus_plus_nat(X1,X3) = plus_plus_nat(X2,X3) ) ).
cnf(i_0_2620,axiom,
( X1 != X2
| plus_plus_nat(X3,X1) = plus_plus_nat(X3,X2) ) ).
cnf(i_0_2621,axiom,
( X1 != X2
| times_times_nat(X1,X3) = times_times_nat(X2,X3) ) ).
cnf(i_0_2622,axiom,
( X1 != X2
| times_times_nat(X3,X1) = times_times_nat(X3,X2) ) ).
cnf(i_0_2623,axiom,
( X1 != X2
| power_power_real(X1,X3) = power_power_real(X2,X3) ) ).
cnf(i_0_2624,axiom,
( X1 != X2
| power_power_real(X3,X1) = power_power_real(X3,X2) ) ).
cnf(i_0_2625,axiom,
( X1 != X2
| plus_plus_real(X1,X3) = plus_plus_real(X2,X3) ) ).
cnf(i_0_2626,axiom,
( X1 != X2
| plus_plus_real(X3,X1) = plus_plus_real(X3,X2) ) ).
cnf(i_0_2627,axiom,
( X1 != X2
| times_times_real(X1,X3) = times_times_real(X2,X3) ) ).
cnf(i_0_2628,axiom,
( X1 != X2
| times_times_real(X3,X1) = times_times_real(X3,X2) ) ).
cnf(i_0_2629,axiom,
( X1 != X2
| number267125858f_real(X1) = number267125858f_real(X2) ) ).
cnf(i_0_2630,axiom,
( X1 != X2
| minus_minus_nat(X1,X3) = minus_minus_nat(X2,X3) ) ).
cnf(i_0_2631,axiom,
( X1 != X2
| minus_minus_nat(X3,X1) = minus_minus_nat(X3,X2) ) ).
cnf(i_0_2632,axiom,
( X1 != X2
| plus_plus_int(X1,X3) = plus_plus_int(X2,X3) ) ).
cnf(i_0_2633,axiom,
( X1 != X2
| plus_plus_int(X3,X1) = plus_plus_int(X3,X2) ) ).
cnf(i_0_2634,axiom,
( X1 != X2
| esk8_1(X1) = esk8_1(X2) ) ).
cnf(i_0_2635,axiom,
( X1 != X2
| number_number_of_nat(X1) = number_number_of_nat(X2) ) ).
cnf(i_0_2636,axiom,
( X1 != X2
| times_times_int(X1,X3) = times_times_int(X2,X3) ) ).
cnf(i_0_2637,axiom,
( X1 != X2
| times_times_int(X3,X1) = times_times_int(X3,X2) ) ).
cnf(i_0_2638,axiom,
( X1 != X2
| number_number_of_int(X1) = number_number_of_int(X2) ) ).
cnf(i_0_2639,axiom,
( X1 != X2
| minus_minus_int(X1,X3) = minus_minus_int(X2,X3) ) ).
cnf(i_0_2640,axiom,
( X1 != X2
| minus_minus_int(X3,X1) = minus_minus_int(X3,X2) ) ).
cnf(i_0_2641,axiom,
( X1 != X2
| legendre(X1,X3) = legendre(X2,X3) ) ).
cnf(i_0_2642,axiom,
( X1 != X2
| legendre(X3,X1) = legendre(X3,X2) ) ).
cnf(i_0_2643,axiom,
( X1 != X2
| twoSqu140629262sum2sq(X1) = twoSqu140629262sum2sq(X2) ) ).
cnf(i_0_2644,axiom,
( X1 != X2
| ~ is_int(X1)
| is_int(X2) ) ).
cnf(i_0_2645,axiom,
( X1 != X2
| ~ ord_less_eq_real(X1,X3)
| ord_less_eq_real(X2,X3) ) ).
cnf(i_0_2646,axiom,
( X1 != X2
| ~ ord_less_eq_real(X3,X1)
| ord_less_eq_real(X3,X2) ) ).
cnf(i_0_2647,axiom,
( X1 != X2
| ~ ord_less_nat(X1,X3)
| ord_less_nat(X2,X3) ) ).
cnf(i_0_2648,axiom,
( X1 != X2
| ~ ord_less_nat(X3,X1)
| ord_less_nat(X3,X2) ) ).
cnf(i_0_2649,axiom,
( X1 != X2
| ~ ord_less_eq_nat(X1,X3)
| ord_less_eq_nat(X2,X3) ) ).
cnf(i_0_2650,axiom,
( X1 != X2
| ~ ord_less_eq_nat(X3,X1)
| ord_less_eq_nat(X3,X2) ) ).
cnf(i_0_2651,axiom,
( X1 != X2
| ~ dvd_dvd_nat(X1,X3)
| dvd_dvd_nat(X2,X3) ) ).
cnf(i_0_2652,axiom,
( X1 != X2
| ~ dvd_dvd_nat(X3,X1)
| dvd_dvd_nat(X3,X2) ) ).
cnf(i_0_2653,axiom,
( X1 != X2
| ~ dvd_dvd_real(X1,X3)
| dvd_dvd_real(X2,X3) ) ).
cnf(i_0_2654,axiom,
( X1 != X2
| ~ dvd_dvd_real(X3,X1)
| dvd_dvd_real(X3,X2) ) ).
cnf(i_0_2655,axiom,
( X1 != X2
| ~ ord_less_eq_int(X1,X3)
| ord_less_eq_int(X2,X3) ) ).
cnf(i_0_2656,axiom,
( X1 != X2
| ~ ord_less_eq_int(X3,X1)
| ord_less_eq_int(X3,X2) ) ).
cnf(i_0_2657,axiom,
( X1 != X2
| ~ ord_less_int(X1,X3)
| ord_less_int(X2,X3) ) ).
cnf(i_0_2658,axiom,
( X1 != X2
| ~ ord_less_int(X3,X1)
| ord_less_int(X3,X2) ) ).
cnf(i_0_2659,axiom,
( X1 != X2
| ~ zcong(X1,X3,X4)
| zcong(X2,X3,X4) ) ).
cnf(i_0_2660,axiom,
( X1 != X2
| ~ zcong(X3,X1,X4)
| zcong(X3,X2,X4) ) ).
cnf(i_0_2661,axiom,
( X1 != X2
| ~ zcong(X3,X4,X1)
| zcong(X3,X4,X2) ) ).
cnf(i_0_2662,axiom,
( X1 != X2
| ~ quadRes(X1,X3)
| quadRes(X2,X3) ) ).
cnf(i_0_2663,axiom,
( X1 != X2
| ~ quadRes(X3,X1)
| quadRes(X3,X2) ) ).
cnf(i_0_2664,axiom,
( X1 != X2
| ~ zprime(X1)
| zprime(X2) ) ).
cnf(i_0_2665,axiom,
( X1 != X2
| ~ twoSqu142715416sum2sq(X1)
| twoSqu142715416sum2sq(X2) ) ).
cnf(i_0_2666,axiom,
( X1 != X2
| ~ dvd_dvd_int(X1,X3)
| dvd_dvd_int(X2,X3) ) ).
cnf(i_0_2667,axiom,
( X1 != X2
| ~ dvd_dvd_int(X3,X1)
| dvd_dvd_int(X3,X2) ) ).
cnf(i_0_2668,axiom,
( X1 != X2
| ~ ord_less_real(X1,X3)
| ord_less_real(X2,X3) ) ).
cnf(i_0_2669,axiom,
( X1 != X2
| ~ ord_less_real(X3,X1)
| ord_less_real(X3,X2) ) ).
cnf(i_0_2612_001,axiom,
X1 = X1 ).
cnf(i_0_2613_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_2614_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_2615_004,axiom,
( X1 != X2
| power_power_int(X1,X3) = power_power_int(X2,X3) ) ).
cnf(i_0_2616_005,axiom,
( X1 != X2
| power_power_int(X3,X1) = power_power_int(X3,X2) ) ).
cnf(i_0_2617_006,axiom,
( X1 != X2
| power_power_nat(X1,X3) = power_power_nat(X2,X3) ) ).
cnf(i_0_2618_007,axiom,
( X1 != X2
| power_power_nat(X3,X1) = power_power_nat(X3,X2) ) ).
cnf(i_0_2619_008,axiom,
( X1 != X2
| plus_plus_nat(X1,X3) = plus_plus_nat(X2,X3) ) ).
cnf(i_0_2620_009,axiom,
( X1 != X2
| plus_plus_nat(X3,X1) = plus_plus_nat(X3,X2) ) ).
cnf(i_0_2621_010,axiom,
( X1 != X2
| times_times_nat(X1,X3) = times_times_nat(X2,X3) ) ).
cnf(i_0_2622_011,axiom,
( X1 != X2
| times_times_nat(X3,X1) = times_times_nat(X3,X2) ) ).
cnf(i_0_2623_012,axiom,
( X1 != X2
| power_power_real(X1,X3) = power_power_real(X2,X3) ) ).
cnf(i_0_2624_013,axiom,
( X1 != X2
| power_power_real(X3,X1) = power_power_real(X3,X2) ) ).
cnf(i_0_2625_014,axiom,
( X1 != X2
| plus_plus_real(X1,X3) = plus_plus_real(X2,X3) ) ).
cnf(i_0_2626_015,axiom,
( X1 != X2
| plus_plus_real(X3,X1) = plus_plus_real(X3,X2) ) ).
cnf(i_0_2627_016,axiom,
( X1 != X2
| times_times_real(X1,X3) = times_times_real(X2,X3) ) ).
cnf(i_0_2628_017,axiom,
( X1 != X2
| times_times_real(X3,X1) = times_times_real(X3,X2) ) ).
cnf(i_0_2629_018,axiom,
( X1 != X2
| number267125858f_real(X1) = number267125858f_real(X2) ) ).
cnf(i_0_2630_019,axiom,
( X1 != X2
| minus_minus_nat(X1,X3) = minus_minus_nat(X2,X3) ) ).
cnf(i_0_2631_020,axiom,
( X1 != X2
| minus_minus_nat(X3,X1) = minus_minus_nat(X3,X2) ) ).
cnf(i_0_2632_021,axiom,
( X1 != X2
| plus_plus_int(X1,X3) = plus_plus_int(X2,X3) ) ).
cnf(i_0_2633_022,axiom,
( X1 != X2
| plus_plus_int(X3,X1) = plus_plus_int(X3,X2) ) ).
cnf(i_0_2634_023,axiom,
( X1 != X2
| esk8_1(X1) = esk8_1(X2) ) ).
cnf(i_0_2635_024,axiom,
( X1 != X2
| number_number_of_nat(X1) = number_number_of_nat(X2) ) ).
cnf(i_0_2636_025,axiom,
( X1 != X2
| times_times_int(X1,X3) = times_times_int(X2,X3) ) ).
cnf(i_0_2637_026,axiom,
( X1 != X2
| times_times_int(X3,X1) = times_times_int(X3,X2) ) ).
cnf(i_0_2638_027,axiom,
( X1 != X2
| number_number_of_int(X1) = number_number_of_int(X2) ) ).
cnf(i_0_2639_028,axiom,
( X1 != X2
| minus_minus_int(X1,X3) = minus_minus_int(X2,X3) ) ).
cnf(i_0_2640_029,axiom,
( X1 != X2
| minus_minus_int(X3,X1) = minus_minus_int(X3,X2) ) ).
cnf(i_0_2641_030,axiom,
( X1 != X2
| legendre(X1,X3) = legendre(X2,X3) ) ).
cnf(i_0_2642_031,axiom,
( X1 != X2
| legendre(X3,X1) = legendre(X3,X2) ) ).
cnf(i_0_2643_032,axiom,
( X1 != X2
| twoSqu140629262sum2sq(X1) = twoSqu140629262sum2sq(X2) ) ).
cnf(i_0_2644_033,axiom,
( X1 != X2
| ~ is_int(X1)
| is_int(X2) ) ).
cnf(i_0_2645_034,axiom,
( X1 != X2
| ~ ord_less_eq_real(X1,X3)
| ord_less_eq_real(X2,X3) ) ).
cnf(i_0_2646_035,axiom,
( X1 != X2
| ~ ord_less_eq_real(X3,X1)
| ord_less_eq_real(X3,X2) ) ).
cnf(i_0_2647_036,axiom,
( X1 != X2
| ~ ord_less_nat(X1,X3)
| ord_less_nat(X2,X3) ) ).
cnf(i_0_2648_037,axiom,
( X1 != X2
| ~ ord_less_nat(X3,X1)
| ord_less_nat(X3,X2) ) ).
cnf(i_0_2649_038,axiom,
( X1 != X2
| ~ ord_less_eq_nat(X1,X3)
| ord_less_eq_nat(X2,X3) ) ).
cnf(i_0_2650_039,axiom,
( X1 != X2
| ~ ord_less_eq_nat(X3,X1)
| ord_less_eq_nat(X3,X2) ) ).
cnf(i_0_2651_040,axiom,
( X1 != X2
| ~ dvd_dvd_nat(X1,X3)
| dvd_dvd_nat(X2,X3) ) ).
cnf(i_0_2652_041,axiom,
( X1 != X2
| ~ dvd_dvd_nat(X3,X1)
| dvd_dvd_nat(X3,X2) ) ).
cnf(i_0_2653_042,axiom,
( X1 != X2
| ~ dvd_dvd_real(X1,X3)
| dvd_dvd_real(X2,X3) ) ).
cnf(i_0_2654_043,axiom,
( X1 != X2
| ~ dvd_dvd_real(X3,X1)
| dvd_dvd_real(X3,X2) ) ).
cnf(i_0_2655_044,axiom,
( X1 != X2
| ~ ord_less_eq_int(X1,X3)
| ord_less_eq_int(X2,X3) ) ).
cnf(i_0_2656_045,axiom,
( X1 != X2
| ~ ord_less_eq_int(X3,X1)
| ord_less_eq_int(X3,X2) ) ).
cnf(i_0_2657_046,axiom,
( X1 != X2
| ~ ord_less_int(X1,X3)
| ord_less_int(X2,X3) ) ).
cnf(i_0_2658_047,axiom,
( X1 != X2
| ~ ord_less_int(X3,X1)
| ord_less_int(X3,X2) ) ).
cnf(i_0_2659_048,axiom,
( X1 != X2
| ~ zcong(X1,X3,X4)
| zcong(X2,X3,X4) ) ).
cnf(i_0_2660_049,axiom,
( X1 != X2
| ~ zcong(X3,X1,X4)
| zcong(X3,X2,X4) ) ).
cnf(i_0_2661_050,axiom,
( X1 != X2
| ~ zcong(X3,X4,X1)
| zcong(X3,X4,X2) ) ).
cnf(i_0_2662_051,axiom,
( X1 != X2
| ~ quadRes(X1,X3)
| quadRes(X2,X3) ) ).
cnf(i_0_2663_052,axiom,
( X1 != X2
| ~ quadRes(X3,X1)
| quadRes(X3,X2) ) ).
cnf(i_0_2664_053,axiom,
( X1 != X2
| ~ zprime(X1)
| zprime(X2) ) ).
cnf(i_0_2665_054,axiom,
( X1 != X2
| ~ twoSqu142715416sum2sq(X1)
| twoSqu142715416sum2sq(X2) ) ).
cnf(i_0_2666_055,axiom,
( X1 != X2
| ~ dvd_dvd_int(X1,X3)
| dvd_dvd_int(X2,X3) ) ).
cnf(i_0_2667_056,axiom,
( X1 != X2
| ~ dvd_dvd_int(X3,X1)
| dvd_dvd_int(X3,X2) ) ).
cnf(i_0_2668_057,axiom,
( X1 != X2
| ~ ord_less_real(X1,X3)
| ord_less_real(X2,X3) ) ).
cnf(i_0_2669_058,axiom,
( X1 != X2
| ~ ord_less_real(X3,X1)
| ord_less_real(X3,X2) ) ).
cnf(i_0_2670,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X1) ),
inference(equality_inference,[],[1751]) ).
cnf(i_0_2671,plain,
( X1 = X1
| ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_eq_nat(zero_zero_nat,X1) ),
inference(equality_inference,[],[1752]) ).
cnf(i_0_2672,plain,
( X1 = X1
| ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_eq_real(zero_zero_real,X1) ),
inference(equality_inference,[],[1753]) ).
cnf(i_0_2673,plain,
( ~ is_int(zero_zero_int)
| ~ ord_less_int(zero_zero_int,power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(equality_inference,[],[1754]) ).
cnf(i_0_2674,plain,
~ ord_less_real(zero_zero_real,power_power_real(zero_zero_real,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(equality_inference,[],[1755]) ).
cnf(i_0_2675,plain,
( ~ is_int(zero_zero_int)
| power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = zero_zero_int ),
inference(equality_inference,[],[1807]) ).
cnf(i_0_2676,plain,
power_power_real(zero_zero_real,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) = zero_zero_real,
inference(equality_inference,[],[1808]) ).
cnf(i_0_2677,plain,
( ~ ord_less_int(X1,X2)
| ~ ord_less_eq_int(X2,X2)
| ord_less_eq_int(X3,X3)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(zero_zero_int,X2)
| ~ ord_less_int(plus_plus_int(times_times_int(X2,X3),X1),zero_zero_int) ),
inference(equality_inference,[],[1819]) ).
cnf(i_0_2678,plain,
( ~ ord_less_int(X1,X2)
| ~ ord_less_eq_int(X2,X2)
| ord_less_eq_int(X3,X3)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(zero_zero_int,X2)
| ~ ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X2,X3),X1)) ),
inference(equality_inference,[],[1820]) ).
cnf(i_0_2679,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X3)
| X2 = X3
| X1 = X1 ),
inference(equality_inference,[],[1850]) ).
cnf(i_0_2680,plain,
( ~ zcong(X1,X2,X3)
| zcong(X4,X2,X3)
| ~ zcong(X4,X1,X3) ),
inference(equality_inference,[],[1854]) ).
cnf(i_0_2681,plain,
( X1 = X2
| X3 = X3 ),
inference(equality_inference,[],[1868]) ).
cnf(i_0_2682,plain,
( X1 = X2
| X3 = X3 ),
inference(equality_inference,[],[1869]) ).
cnf(i_0_2683,plain,
( ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X1)
| ~ is_int(X3)
| plus_plus_int(times_times_int(X1,X2),times_times_int(X1,X3)) = plus_plus_int(times_times_int(X1,X3),times_times_int(X1,X2)) ),
inference(equality_inference,[],[1901]) ).
cnf(i_0_2684,plain,
plus_plus_nat(times_times_nat(X1,X2),times_times_nat(X1,X3)) = plus_plus_nat(times_times_nat(X1,X3),times_times_nat(X1,X2)),
inference(equality_inference,[],[1980]) ).
cnf(i_0_2685,plain,
plus_plus_real(times_times_real(X1,X2),times_times_real(X1,X3)) = plus_plus_real(times_times_real(X1,X3),times_times_real(X1,X2)),
inference(equality_inference,[],[1982]) ).
cnf(i_0_2686,plain,
( ~ is_int(plus_plus_int(X1,times_times_int(X2,X3)))
| zcong(X1,plus_plus_int(X1,times_times_int(X2,X3)),X2)
| ~ is_int(X3) ),
inference(equality_inference,[],[1991]) ).
cnf(i_0_2687,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[1994]) ).
cnf(i_0_2688,plain,
( ~ ord_less_nat(X1,X2)
| ~ dvd_dvd_nat(X2,plus_plus_nat(times_times_nat(X3,X2),X1))
| ~ ord_less_nat(zero_zero_nat,X1) ),
inference(equality_inference,[],[2005]) ).
cnf(i_0_2689,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(equality_inference,[],[2025]) ).
cnf(i_0_2690,plain,
( X1 = X1
| ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(equality_inference,[],[2066]) ).
cnf(i_0_2691,plain,
( X1 = X1
| ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_nat(zero_zero_nat,X2) ),
inference(equality_inference,[],[2067]) ).
cnf(i_0_2692,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| zcong(X1,X1,zero_zero_int) ),
inference(equality_inference,[],[2250]) ).
cnf(i_0_2693,plain,
dvd_dvd_nat(times_times_nat(X1,zero_zero_nat),times_times_nat(X2,zero_zero_nat)),
inference(equality_inference,[],[2258]) ).
cnf(i_0_2694,plain,
( X1 = X1
| ~ ord_less_nat(one_one_nat,X2) ),
inference(equality_inference,[],[2272]) ).
cnf(i_0_2695,plain,
( X1 = X1
| ~ ord_less_real(one_one_real,X2) ),
inference(equality_inference,[],[2273]) ).
cnf(i_0_2696,plain,
( X1 = X1
| ~ ord_less_int(one_one_int,X2) ),
inference(equality_inference,[],[2274]) ).
cnf(i_0_2697,plain,
~ ord_less_real(zero_zero_real,times_times_real(zero_zero_real,zero_zero_real)),
inference(equality_inference,[],[2277]) ).
cnf(i_0_2698,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[2281]) ).
cnf(i_0_2699,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| ord_less_int(X1,plus_plus_int(X1,one_one_int)) ),
inference(equality_inference,[],[2340]) ).
cnf(i_0_2700,plain,
( X1 = X1
| X2 = zero_zero_real ),
inference(equality_inference,[],[2363]) ).
cnf(i_0_2701,plain,
( X1 = X1
| X2 = zero_zero_real ),
inference(equality_inference,[],[2364]) ).
cnf(i_0_2702,plain,
( ~ is_int(min)
| plus_plus_int(plus_plus_int(one_one_int,min),min) = min ),
inference(equality_inference,[],[2372]) ).
cnf(i_0_2703,plain,
( ~ is_int(min)
| min = plus_plus_int(plus_plus_int(one_one_int,min),min) ),
inference(equality_inference,[],[2373]) ).
cnf(i_0_2704,plain,
( ~ is_int(X1)
| X1 = plus_plus_int(minus_minus_int(X1,X2),X2) ),
inference(equality_inference,[],[2375]) ).
cnf(i_0_2705,plain,
dvd_dvd_real(one_one_real,power_power_real(one_one_real,X1)),
inference(equality_inference,[],[2392]) ).
cnf(i_0_2706,plain,
dvd_dvd_nat(one_one_nat,power_power_nat(one_one_nat,X1)),
inference(equality_inference,[],[2393]) ).
cnf(i_0_2707,plain,
dvd_dvd_int(one_one_int,power_power_int(one_one_int,X1)),
inference(equality_inference,[],[2394]) ).
cnf(i_0_2708,plain,
ord_less_nat(zero_zero_nat,power_power_nat(X1,zero_zero_nat)),
inference(equality_inference,[],[2400]) ).
cnf(i_0_2709,plain,
( ~ ord_less_int(X1,X1)
| ~ is_int(X1)
| ~ is_int(X1) ),
inference(equality_inference,[],[2403]) ).
cnf(i_0_2710,plain,
( ~ is_int(X1)
| ~ is_int(zero_zero_int)
| X1 = plus_plus_int(X1,zero_zero_int) ),
inference(equality_inference,[],[2438]) ).
cnf(i_0_2711,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[2444]) ).
cnf(i_0_2712,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[2445]) ).
cnf(i_0_2713,plain,
~ ord_less_real(X1,X1),
inference(equality_inference,[],[2460]) ).
cnf(i_0_2714,plain,
( ~ is_int(zero_zero_int)
| X1 = zero_zero_nat
| power_power_int(zero_zero_int,X1) = zero_zero_int ),
inference(equality_inference,[],[2465]) ).
cnf(i_0_2715,plain,
( ~ is_int(pls)
| plus_plus_int(pls,pls) = pls ),
inference(equality_inference,[],[2482]) ).
cnf(i_0_2716,plain,
( ~ is_int(zero_zero_int)
| plus_plus_int(zero_zero_int,zero_zero_int) = zero_zero_int ),
inference(equality_inference,[],[2483]) ).
cnf(i_0_2717,plain,
( ~ is_int(pls)
| pls = plus_plus_int(pls,pls) ),
inference(equality_inference,[],[2484]) ).
cnf(i_0_2718,plain,
( X1 = zero_zero_nat
| power_power_nat(zero_zero_nat,X1) = zero_zero_nat ),
inference(equality_inference,[],[2509]) ).
cnf(i_0_2719,plain,
( X1 = zero_zero_nat
| power_power_real(zero_zero_real,X1) = zero_zero_real ),
inference(equality_inference,[],[2510]) ).
cnf(i_0_2720,plain,
dvd_dvd_nat(X1,X1),
inference(equality_inference,[],[2513]) ).
cnf(i_0_2721,plain,
dvd_dvd_nat(X1,X1),
inference(equality_inference,[],[2514]) ).
cnf(i_0_2722,plain,
ord_less_eq_real(X1,X1),
inference(equality_inference,[],[2515]) ).
cnf(i_0_2723,plain,
X1 = plus_plus_nat(X1,zero_zero_nat),
inference(equality_inference,[],[2522]) ).
cnf(i_0_2724,plain,
X1 = plus_plus_real(X1,zero_zero_real),
inference(equality_inference,[],[2523]) ).
cnf(i_0_2725,plain,
times_times_nat(zero_zero_nat,X1) = zero_zero_nat,
inference(equality_inference,[],[2524]) ).
cnf(i_0_2726,plain,
power_power_nat(one_one_nat,X1) = one_one_nat,
inference(equality_inference,[],[2525]) ).
cnf(i_0_2727,plain,
power_power_nat(X1,zero_zero_nat) = one_one_nat,
inference(equality_inference,[],[2527]) ).
cnf(i_0_2728,plain,
plus_plus_real(zero_zero_real,zero_zero_real) = zero_zero_real,
inference(equality_inference,[],[2528]) ).
cnf(i_0_2729,plain,
power_power_real(zero_zero_real,zero_zero_nat) = one_one_real,
inference(equality_inference,[],[2530]) ).
cnf(i_0_2730,plain,
power_power_int(zero_zero_int,zero_zero_nat) = one_one_int,
inference(equality_inference,[],[2531]) ).
cnf(i_0_2731,plain,
~ ord_less_int(one_one_int,t),
inference(scs_inference,[],[i_0_1681,i_0_1713]) ).
cnf(i_0_2732,plain,
t != one_one_int,
inference(scs_inference,[],[i_0_1681,i_0_1714]) ).
cnf(i_0_2733,plain,
~ ord_less_int(zero_zero_int,power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2595,i_0_2673]) ).
cnf(i_0_2734,plain,
min = plus_plus_int(plus_plus_int(one_one_int,min),min),
inference(scs_inference,[],[i_0_2594,i_0_2703]) ).
cnf(i_0_2735,plain,
( ~ is_int(X1)
| X1 = plus_plus_int(X1,zero_zero_int) ),
inference(scs_inference,[],[i_0_2595,i_0_2710]) ).
cnf(i_0_2736,plain,
pls = plus_plus_int(pls,pls),
inference(scs_inference,[],[i_0_2593,i_0_2717]) ).
cnf(i_0_2737,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(scs_inference,[],[i_0_2537,i_0_2613]) ).
cnf(i_0_2738,plain,
zcong(zero_zero_int,X1,X1),
inference(scs_inference,[],[i_0_2348,i_0_2537,i_0_2613,i_0_1939]) ).
cnf(i_0_2739,plain,
( ~ zcong(X1,X2,X3)
| zcong(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1939]) ).
cnf(i_0_2740,plain,
ord_less_eq_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_real),
inference(scs_inference,[],[i_0_2536,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941]) ).
cnf(i_0_2741,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2742,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_real(number267125858f_real(X1),one_one_real) ),
inference(rename_variables,[],[i_0_1941]) ).
cnf(i_0_2743,plain,
ord_less_eq_int(number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941,i_0_1943]) ).
cnf(i_0_2744,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2745,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1943]) ).
cnf(i_0_2746,plain,
ord_less_eq_real(one_one_real,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945]) ).
cnf(i_0_2747,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2748,plain,
( ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_eq_real(one_one_real,number267125858f_real(X1)) ),
inference(rename_variables,[],[i_0_1945]) ).
cnf(i_0_2749,plain,
ord_less_eq_int(one_one_int,number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947]) ).
cnf(i_0_2750,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2751,plain,
( ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_eq_int(one_one_int,number_number_of_int(X1)) ),
inference(rename_variables,[],[i_0_1947]) ).
cnf(i_0_2752,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2341,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129]) ).
cnf(i_0_2753,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_2754,plain,
( ~ zcong(X1,zero_zero_int,X2)
| dvd_dvd_int(X2,X1) ),
inference(rename_variables,[],[i_0_2129]) ).
cnf(i_0_2755,plain,
~ ord_less_int(number_number_of_int(X1),number_number_of_int(X1)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2341,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166]) ).
cnf(i_0_2756,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2757,plain,
( ~ ord_less_eq_int(number_number_of_int(X1),number_number_of_int(X2))
| ~ ord_less_int(number_number_of_int(X2),number_number_of_int(X1)) ),
inference(rename_variables,[],[i_0_2166]) ).
cnf(i_0_2758,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2341,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246]) ).
cnf(i_0_2759,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2760,plain,
( ~ ord_less_eq_int(plus_plus_int(X1,one_one_int),X2)
| ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2246]) ).
cnf(i_0_2761,plain,
ord_less_int(minus_minus_int(X1,one_one_int),X1),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247]) ).
cnf(i_0_2762,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2763,plain,
( ~ ord_less_eq_int(X1,minus_minus_int(X2,one_one_int))
| ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2247]) ).
cnf(i_0_2764,plain,
ord_less_eq_int(esk7_0,times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248]) ).
cnf(i_0_2765,plain,
( ~ ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2248]) ).
cnf(i_0_2766,plain,
dvd_dvd_nat(times_times_nat(X1,times_times_nat(one_one_nat,zero_zero_nat)),times_times_nat(X2,times_times_nat(one_one_nat,zero_zero_nat))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258]) ).
cnf(i_0_2767,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2768,plain,
( X1 != zero_zero_nat
| dvd_dvd_nat(times_times_nat(X2,X1),times_times_nat(X3,X1)) ),
inference(rename_variables,[],[i_0_2258]) ).
cnf(i_0_2769,plain,
dvd_dvd_real(X1,power_power_real(X1,power_power_nat(X2,zero_zero_nat))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282]) ).
cnf(i_0_2770,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_real(X2,power_power_real(X2,X1)) ),
inference(rename_variables,[],[i_0_2282]) ).
cnf(i_0_2771,plain,
dvd_dvd_nat(X1,power_power_nat(X1,power_power_nat(X2,zero_zero_nat))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283]) ).
cnf(i_0_2772,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_nat(X2,power_power_nat(X2,X1)) ),
inference(rename_variables,[],[i_0_2283]) ).
cnf(i_0_2773,plain,
dvd_dvd_int(X1,power_power_int(X1,power_power_nat(X2,zero_zero_nat))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284]) ).
cnf(i_0_2774,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_int(X2,power_power_int(X2,X1)) ),
inference(rename_variables,[],[i_0_2284]) ).
cnf(i_0_2775,plain,
~ ord_less_real(times_times_real(X1,X1),zero_zero_real),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1863,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291]) ).
cnf(i_0_2776,plain,
~ ord_less_real(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),zero_zero_real),
inference(rename_variables,[],[i_0_1863]) ).
cnf(i_0_2777,plain,
( ord_less_real(plus_plus_real(X1,X1),zero_zero_real)
| ~ ord_less_real(X1,zero_zero_real) ),
inference(rename_variables,[],[i_0_2291]) ).
cnf(i_0_2778,plain,
~ ord_less_int(times_times_int(X1,X1),zero_zero_int),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1863,i_0_1864,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295]) ).
cnf(i_0_2779,plain,
~ ord_less_int(plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)),zero_zero_int),
inference(rename_variables,[],[i_0_1864]) ).
cnf(i_0_2780,plain,
( ord_less_int(plus_plus_int(X1,X1),zero_zero_int)
| ~ ord_less_int(X1,zero_zero_int) ),
inference(rename_variables,[],[i_0_2295]) ).
cnf(i_0_2781,plain,
~ ord_less_int(X1,X1),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1863,i_0_1864,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357]) ).
cnf(i_0_2782,plain,
~ ord_less_real(X1,X1),
inference(rename_variables,[],[i_0_2713]) ).
cnf(i_0_2783,plain,
( ord_less_real(number267125858f_real(X1),number267125858f_real(X2))
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2357]) ).
cnf(i_0_2784,plain,
ord_less_eq_nat(number_number_of_nat(pls),number_number_of_nat(X1)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1863,i_0_1864,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370]) ).
cnf(i_0_2785,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2786,plain,
( ~ ord_less_eq_int(X1,pls)
| ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2)) ),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_2787,plain,
ord_less_int(pls,plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1863,i_0_1864,i_0_1809,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382]) ).
cnf(i_0_2788,plain,
( ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X1))
| ord_less_int(pls,X1) ),
inference(rename_variables,[],[i_0_2382]) ).
cnf(i_0_2789,plain,
ord_less_eq_int(pls,plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2708,i_0_1863,i_0_1864,i_0_1810,i_0_1809,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386]) ).
cnf(i_0_2790,plain,
( ~ ord_less_eq_int(zero_zero_int,number_number_of_int(X1))
| ord_less_eq_int(pls,X1) ),
inference(rename_variables,[],[i_0_2386]) ).
cnf(i_0_2791,plain,
dvd_dvd_real(times_times_nat(one_one_nat,one_one_real),power_power_real(times_times_nat(one_one_nat,one_one_real),X1)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2708,i_0_1863,i_0_1864,i_0_1810,i_0_1809,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392]) ).
cnf(i_0_2792,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2793,plain,
( X1 != one_one_real
| dvd_dvd_real(X1,power_power_real(X1,X2)) ),
inference(rename_variables,[],[i_0_2392]) ).
cnf(i_0_2794,plain,
dvd_dvd_nat(times_times_nat(one_one_nat,one_one_nat),power_power_nat(times_times_nat(one_one_nat,one_one_nat),X1)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2708,i_0_1863,i_0_1864,i_0_1810,i_0_1809,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393]) ).
cnf(i_0_2795,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2796,plain,
( X1 != one_one_nat
| dvd_dvd_nat(X1,power_power_nat(X1,X2)) ),
inference(rename_variables,[],[i_0_2393]) ).
cnf(i_0_2797,plain,
dvd_dvd_int(times_times_nat(one_one_nat,one_one_int),power_power_int(times_times_nat(one_one_nat,one_one_int),X1)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2708,i_0_1863,i_0_1864,i_0_1810,i_0_1809,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394]) ).
cnf(i_0_2798,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2799,plain,
( X1 != one_one_int
| dvd_dvd_int(X1,power_power_int(X1,X2)) ),
inference(rename_variables,[],[i_0_2394]) ).
cnf(i_0_2800,plain,
ord_less_int(zero_zero_int,t),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1810,i_0_1809,i_0_1693,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434]) ).
cnf(i_0_2801,plain,
( ~ ord_less_eq_int(one_one_int,X1)
| ord_less_int(zero_zero_int,X1) ),
inference(rename_variables,[],[i_0_2434]) ).
cnf(i_0_2802,plain,
ord_less_eq_int(one_one_int,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435]) ).
cnf(i_0_2803,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ord_less_eq_int(one_one_int,X1) ),
inference(rename_variables,[],[i_0_2435]) ).
cnf(i_0_2804,plain,
one_one_nat != zero_zero_nat,
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471]) ).
cnf(i_0_2805,plain,
power_power_nat(X1,one_one_nat) = X1,
inference(rename_variables,[],[i_0_2544]) ).
cnf(i_0_2806,plain,
( power_power_nat(X1,X2) != zero_zero_nat
| X2 != zero_zero_nat ),
inference(rename_variables,[],[i_0_2471]) ).
cnf(i_0_2807,plain,
number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))) != zero_zero_nat,
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472]) ).
cnf(i_0_2808,plain,
( power_power_real(X1,X2) != zero_zero_real
| X2 != zero_zero_nat ),
inference(rename_variables,[],[i_0_2472]) ).
cnf(i_0_2809,plain,
~ ord_less_eq_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),pls),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473]) ).
cnf(i_0_2810,plain,
( number_number_of_nat(X1) = zero_zero_nat
| ~ ord_less_eq_int(X1,pls) ),
inference(rename_variables,[],[i_0_2473]) ).
cnf(i_0_2811,plain,
dvd_dvd_nat(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513]) ).
cnf(i_0_2812,plain,
( X1 != X2
| dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2513]) ).
cnf(i_0_2813,plain,
dvd_dvd_nat(plus_plus_nat(X1,zero_zero_nat),X1),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514]) ).
cnf(i_0_2814,plain,
( X1 != X2
| dvd_dvd_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2514]) ).
cnf(i_0_2815,plain,
ord_less_eq_real(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515]) ).
cnf(i_0_2816,plain,
( X1 != X2
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2515]) ).
cnf(i_0_2817,plain,
X1 = plus_plus_nat(X1,times_times_nat(one_one_nat,zero_zero_nat)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522]) ).
cnf(i_0_2818,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2819,plain,
( X1 != zero_zero_nat
| X2 = plus_plus_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2522]) ).
cnf(i_0_2820,plain,
X1 = plus_plus_real(X1,times_times_nat(one_one_nat,zero_zero_real)),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523]) ).
cnf(i_0_2821,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2822,plain,
( X1 != zero_zero_real
| X2 = plus_plus_real(X2,X1) ),
inference(rename_variables,[],[i_0_2523]) ).
cnf(i_0_2823,plain,
plus_plus_int(one_one_int,X1) != X1,
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_2172,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632]) ).
cnf(i_0_2824,plain,
plus_plus_int(plus_plus_int(one_one_int,X1),X1) != plus_plus_int(X2,X2),
inference(rename_variables,[],[i_0_2172]) ).
cnf(i_0_2825,plain,
X1 != plus_plus_int(one_one_int,X1),
inference(scs_inference,[],[i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633]) ).
cnf(i_0_2826,plain,
plus_plus_int(plus_plus_int(one_one_int,X1),X1) != plus_plus_int(X2,X2),
inference(rename_variables,[],[i_0_2172]) ).
cnf(i_0_2827,plain,
power_power_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) != power_power_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274]) ).
cnf(i_0_2828,plain,
( ~ ord_less_int(one_one_int,X1)
| power_power_int(X1,X2) != power_power_int(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_2274]) ).
cnf(i_0_2829,plain,
esk9_0 = plus_plus_int(plus_plus_nat(minus_minus_int(esk9_0,X1),zero_zero_nat),X1),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375]) ).
cnf(i_0_2830,plain,
X1 = plus_plus_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_2723]) ).
cnf(i_0_2831,plain,
( minus_minus_int(X1,X2) != X3
| X1 = plus_plus_int(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2375]) ).
cnf(i_0_2832,plain,
zero_zero_real = power_power_real(zero_zero_real,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412]) ).
cnf(i_0_2833,plain,
ord_less_eq_real(zero_zero_real,power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1772]) ).
cnf(i_0_2834,plain,
( ord_less_real(X1,X2)
| ~ ord_less_eq_real(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2412]) ).
cnf(i_0_2835,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2341,i_0_2723,i_0_2830,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614]) ).
cnf(i_0_2836,plain,
~ ord_less_real(plus_plus_nat(X1,zero_zero_nat),X1),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2341,i_0_2723,i_0_2830,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2544,i_0_2708,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669]) ).
cnf(i_0_2837,plain,
~ ord_less_real(X1,X1),
inference(rename_variables,[],[i_0_2713]) ).
cnf(i_0_2838,plain,
~ ord_less_eq_int(times_times_nat(one_one_nat,pls),min),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2341,i_0_2723,i_0_2830,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2544,i_0_2708,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655]) ).
cnf(i_0_2839,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2840,plain,
~ ord_less_eq_int(pls,times_times_nat(one_one_nat,min)),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2341,i_0_2723,i_0_2830,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2544,i_0_2708,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656]) ).
cnf(i_0_2841,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2842,plain,
~ ord_less_int(times_times_nat(one_one_nat,pls),pls),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2341,i_0_2723,i_0_2830,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2544,i_0_2708,i_0_2516,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657]) ).
cnf(i_0_2843,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2844,plain,
~ ord_less_int(pls,times_times_nat(one_one_nat,pls)),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2341,i_0_2723,i_0_2830,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658]) ).
cnf(i_0_2845,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2846,plain,
zprime(plus_plus_nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2341,i_0_2723,i_0_2830,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664]) ).
cnf(i_0_2847,plain,
X1 = plus_plus_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_2723]) ).
cnf(i_0_2848,plain,
twoSqu142715416sum2sq(plus_plus_nat(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2341,i_0_2723,i_0_2830,i_0_2847,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665]) ).
cnf(i_0_2849,plain,
X1 = plus_plus_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_2723]) ).
cnf(i_0_2850,plain,
~ ord_less_real(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668]) ).
cnf(i_0_2851,plain,
~ ord_less_real(X1,X1),
inference(rename_variables,[],[i_0_2713]) ).
cnf(i_0_2852,plain,
quadRes(X1,power_power_int(esk9_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750]) ).
cnf(i_0_2853,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_2854,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| quadRes(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1750]) ).
cnf(i_0_2855,plain,
ord_less_eq_nat(X1,X1),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962]) ).
cnf(i_0_2856,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2857,plain,
( ~ ord_less_eq_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ~ ord_less_int(one_one_int,X1)
| ord_less_eq_nat(X2,X3) ),
inference(rename_variables,[],[i_0_1962]) ).
cnf(i_0_2858,plain,
~ ord_less_int(power_power_int(pls,X1),power_power_int(zero_zero_int,X1)),
inference(scs_inference,[],[i_0_1681,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967]) ).
cnf(i_0_2859,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2860,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(power_power_int(X2,X3),power_power_int(X1,X3))
| ord_less_int(X2,X1) ),
inference(rename_variables,[],[i_0_1967]) ).
cnf(i_0_2861,plain,
ord_less_eq_real(power_power_real(one_one_real,number_number_of_nat(pls)),power_power_real(one_one_real,number_number_of_nat(X1))),
inference(scs_inference,[],[i_0_1681,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059]) ).
cnf(i_0_2862,plain,
ord_less_eq_real(X1,X1),
inference(rename_variables,[],[i_0_2535]) ).
cnf(i_0_2863,plain,
( ~ ord_less_eq_real(one_one_real,X1)
| ord_less_eq_real(power_power_real(X1,X2),power_power_real(X1,X3))
| ~ ord_less_eq_nat(X2,X3) ),
inference(rename_variables,[],[i_0_2059]) ).
cnf(i_0_2864,plain,
~ ord_less_nat(X1,X1),
inference(scs_inference,[],[i_0_1681,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061]) ).
cnf(i_0_2865,plain,
( ~ ord_less_int(one_one_int,X1)
| ord_less_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ~ ord_less_nat(X2,X3) ),
inference(rename_variables,[],[i_0_2061]) ).
cnf(i_0_2866,plain,
ord_less_int(times_times_int(one_one_int,zero_zero_int),times_times_int(one_one_int,one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062]) ).
cnf(i_0_2867,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ord_less_int(times_times_int(X1,X2),times_times_int(X1,X3))
| ~ ord_less_int(X2,X3) ),
inference(rename_variables,[],[i_0_2062]) ).
cnf(i_0_2868,plain,
ord_less_eq_int(power_power_int(plus_plus_int(one_one_int,one_one_int),number_number_of_nat(pls)),power_power_int(plus_plus_int(one_one_int,one_one_int),number_number_of_nat(X1))),
inference(scs_inference,[],[i_0_1681,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064]) ).
cnf(i_0_2869,plain,
( ~ ord_less_int(one_one_int,X1)
| ord_less_eq_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ~ ord_less_eq_nat(X2,X3) ),
inference(rename_variables,[],[i_0_2064]) ).
cnf(i_0_2870,plain,
ord_less_eq_int(power_power_int(one_one_int,number_number_of_nat(pls)),power_power_int(one_one_int,number_number_of_nat(X1))),
inference(scs_inference,[],[i_0_1681,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065]) ).
cnf(i_0_2871,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2872,plain,
( ~ ord_less_eq_int(one_one_int,X1)
| ord_less_eq_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ~ ord_less_eq_nat(X2,X3) ),
inference(rename_variables,[],[i_0_2065]) ).
cnf(i_0_2873,plain,
dvd_dvd_nat(plus_plus_nat(minus_minus_int(esk9_0,X1),zero_zero_nat),zero_zero_nat),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124]) ).
cnf(i_0_2874,plain,
dvd_dvd_nat(X1,X1),
inference(rename_variables,[],[i_0_2720]) ).
cnf(i_0_2875,plain,
( ~ dvd_dvd_nat(X1,plus_plus_nat(X2,X3))
| dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2124]) ).
cnf(i_0_2876,plain,
dvd_dvd_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162]) ).
cnf(i_0_2877,plain,
( ~ dvd_dvd_int(X1,power_power_int(X2,X3))
| ~ zprime(X1)
| dvd_dvd_int(X1,X2) ),
inference(rename_variables,[],[i_0_2162]) ).
cnf(i_0_2878,plain,
dvd_dvd_int(one_one_int,power_power_int(power_power_int(one_one_int,X1),power_power_nat(X2,zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167]) ).
cnf(i_0_2879,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_int(X2,power_power_int(X3,X1))
| ~ dvd_dvd_int(X2,X3) ),
inference(rename_variables,[],[i_0_2167]) ).
cnf(i_0_2880,plain,
dvd_dvd_nat(X1,power_power_nat(X1,one_one_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218]) ).
cnf(i_0_2881,plain,
dvd_dvd_nat(X1,X1),
inference(rename_variables,[],[i_0_2720]) ).
cnf(i_0_2882,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,X2),X3)
| X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_2883,plain,
~ dvd_dvd_int(plus_plus_int(one_one_int,one_one_int),one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275]) ).
cnf(i_0_2884,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2275]) ).
cnf(i_0_2885,plain,
~ ord_less_eq_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),min),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290]) ).
cnf(i_0_2886,plain,
( ~ ord_less_eq_int(X1,X2)
| ord_less_eq_int(X3,X2)
| ~ ord_less_eq_int(X3,X1) ),
inference(rename_variables,[],[i_0_2290]) ).
cnf(i_0_2887,plain,
is_int(plus_plus_nat(esk9_0,zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644]) ).
cnf(i_0_2888,plain,
X1 = plus_plus_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_2723]) ).
cnf(i_0_2889,plain,
~ ord_less_nat(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647]) ).
cnf(i_0_2890,plain,
~ ord_less_nat(plus_plus_nat(X1,zero_zero_nat),X1),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648]) ).
cnf(i_0_2891,plain,
X1 != plus_plus_nat(X1,times_times_nat(one_one_nat,one_one_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992]) ).
cnf(i_0_2892,plain,
( plus_plus_nat(X1,times_times_nat(X2,X3)) != plus_plus_nat(X4,times_times_nat(X2,X5))
| X2 = zero_zero_nat
| X3 = X5
| X1 != X4 ),
inference(rename_variables,[],[i_0_1992]) ).
cnf(i_0_2893,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854]) ).
cnf(i_0_2894,plain,
zcong(X1,zero_zero_int,X1),
inference(rename_variables,[],[i_0_2348]) ).
cnf(i_0_2895,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_2896,plain,
( ~ zcong(X1,X2,X3)
| zcong(X4,X2,X3)
| ~ zcong(X4,X5,X3)
| X5 != X1 ),
inference(rename_variables,[],[i_0_1854]) ).
cnf(i_0_2897,plain,
zcong(plus_plus_nat(minus_minus_int(esk9_0,times_times_int(X1,esk9_0)),zero_zero_nat),esk9_0,X1),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991]) ).
cnf(i_0_2898,plain,
( X1 != plus_plus_int(X2,times_times_int(X3,X4))
| ~ is_int(X1)
| zcong(X2,X1,X3)
| ~ is_int(X4) ),
inference(rename_variables,[],[i_0_1991]) ).
cnf(i_0_2899,plain,
ord_less_nat(power_power_nat(zero_zero_nat,power_power_nat(X1,zero_zero_nat)),power_power_nat(power_power_nat(X1,zero_zero_nat),power_power_nat(X1,zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010]) ).
cnf(i_0_2900,plain,
( ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_nat(zero_zero_nat,X2)
| ord_less_nat(power_power_nat(X1,X2),power_power_nat(X3,X2))
| ~ ord_less_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2010]) ).
cnf(i_0_2901,plain,
ord_less_int(power_power_int(zero_zero_int,power_power_nat(X1,zero_zero_nat)),power_power_int(one_one_int,power_power_nat(X1,zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012]) ).
cnf(i_0_2902,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2903,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_nat(zero_zero_nat,X2)
| ord_less_int(power_power_int(X1,X2),power_power_int(X3,X2))
| ~ ord_less_int(X1,X3) ),
inference(rename_variables,[],[i_0_2012]) ).
cnf(i_0_2904,plain,
ord_less_eq_int(power_power_int(zero_zero_int,number_number_of_nat(X1)),power_power_int(zero_zero_int,number_number_of_nat(pls))),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2569,i_0_2571,i_0_2577,i_0_2578,i_0_2585,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018]) ).
cnf(i_0_2905,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_2906,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(X1,one_one_int)
| ord_less_eq_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ~ ord_less_eq_nat(X3,X2) ),
inference(rename_variables,[],[i_0_2018]) ).
cnf(i_0_2907,plain,
ord_less_eq_int(min,zero_zero_int),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2577,i_0_2578,i_0_2585,i_0_2594,i_0_2595,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352]) ).
cnf(i_0_2908,plain,
( ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2352]) ).
cnf(i_0_2909,plain,
min != zero_zero_int,
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2577,i_0_2578,i_0_2585,i_0_2594,i_0_2595,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403]) ).
cnf(i_0_2910,plain,
( ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_2403]) ).
cnf(i_0_2911,plain,
esk9_0 = plus_plus_int(esk9_0,pls),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2577,i_0_2578,i_0_2585,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438]) ).
cnf(i_0_2912,plain,
( X1 != zero_zero_int
| X2 = plus_plus_int(X2,X1)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2438]) ).
cnf(i_0_2913,plain,
esk7_0 = esk6_0,
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674]) ).
cnf(i_0_2914,plain,
( ~ ord_less_int(X1,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int))
| ~ zcong(s1,X1,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int))
| ~ ord_less_eq_int(zero_zero_int,X1)
| X1 = esk6_0
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_2915,plain,
ord_less_real(number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),one_one_real),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940]) ).
cnf(i_0_2916,plain,
( ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_real(number267125858f_real(X1),one_one_real) ),
inference(rename_variables,[],[i_0_1940]) ).
cnf(i_0_2917,plain,
ord_less_int(number_number_of_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942]) ).
cnf(i_0_2918,plain,
( ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1942]) ).
cnf(i_0_2919,plain,
~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(pls)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164]) ).
cnf(i_0_2920,plain,
( ~ ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ~ ord_less_nat(number_number_of_nat(X2),number_number_of_nat(X1)) ),
inference(rename_variables,[],[i_0_2164]) ).
cnf(i_0_2921,plain,
ord_less_int(pls,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235]) ).
cnf(i_0_2922,plain,
( ~ ord_less_int(pls,plus_plus_int(X1,X1))
| ord_less_int(pls,X1) ),
inference(rename_variables,[],[i_0_2235]) ).
cnf(i_0_2923,plain,
ord_less_eq_int(pls,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238]) ).
cnf(i_0_2924,plain,
( ~ ord_less_eq_int(pls,plus_plus_int(X1,X1))
| ord_less_eq_int(pls,X1) ),
inference(rename_variables,[],[i_0_2238]) ).
cnf(i_0_2925,plain,
~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),pls),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296]) ).
cnf(i_0_2926,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),pls)
| ~ ord_less_eq_int(X1,pls) ),
inference(rename_variables,[],[i_0_2296]) ).
cnf(i_0_2927,plain,
~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),min),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297]) ).
cnf(i_0_2928,plain,
( ord_less_eq_int(plus_plus_int(X1,X1),min)
| ~ ord_less_eq_int(X1,min) ),
inference(rename_variables,[],[i_0_2297]) ).
cnf(i_0_2929,plain,
ord_less_eq_real(number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),one_one_real),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428]) ).
cnf(i_0_2930,plain,
( ~ ord_less_real(X1,X2)
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2428]) ).
cnf(i_0_2931,plain,
ord_less_eq_int(min,times_times_nat(one_one_nat,pls)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447]) ).
cnf(i_0_2932,plain,
( ord_less_eq_int(X1,X2)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2447]) ).
cnf(i_0_2933,plain,
number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)) != one_one_real,
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460]) ).
cnf(i_0_2934,plain,
( ~ ord_less_real(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_2460]) ).
cnf(i_0_2935,plain,
( ~ dvd_dvd_nat(power_power_nat(one_one_nat,X1),one_one_nat)
| one_one_nat = power_power_nat(one_one_nat,X1) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368]) ).
cnf(i_0_2936,plain,
( ~ dvd_dvd_nat(X1,X2)
| ~ dvd_dvd_nat(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2368]) ).
cnf(i_0_2937,plain,
~ ord_less_eq_real(one_one_real,number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369]) ).
cnf(i_0_2938,plain,
( ~ ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2369]) ).
cnf(i_0_2939,plain,
~ dvd_dvd_int(plus_plus_int(one_one_int,one_one_int),times_times_nat(one_one_nat,one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667]) ).
cnf(i_0_2940,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2941,plain,
~ ord_less_nat(power_power_nat(plus_plus_nat(zero_zero_nat,zero_zero_nat),X1),power_power_nat(zero_zero_nat,X1)),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948]) ).
cnf(i_0_2942,plain,
( ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_nat(power_power_nat(X2,X3),power_power_nat(X1,X3))
| ord_less_nat(X2,X1) ),
inference(rename_variables,[],[i_0_1948]) ).
cnf(i_0_2943,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ dvd_dvd_nat(power_power_nat(one_one_nat,number_number_of_nat(X1)),one_one_nat) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022]) ).
cnf(i_0_2944,plain,
( dvd_dvd_nat(power_power_nat(X1,X2),X3)
| ~ dvd_dvd_nat(power_power_nat(X1,X4),X3)
| ~ ord_less_eq_nat(X2,X4) ),
inference(rename_variables,[],[i_0_2022]) ).
cnf(i_0_2945,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ord_less_nat(number_number_of_nat(pls),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255]) ).
cnf(i_0_2946,plain,
( ~ ord_less_int(pls,X1)
| ord_less_nat(number_number_of_nat(X2),number_number_of_nat(X1))
| ~ ord_less_int(X2,X1) ),
inference(rename_variables,[],[i_0_2255]) ).
cnf(i_0_2947,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ ord_less_eq_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),number_number_of_nat(pls)) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256]) ).
cnf(i_0_2948,plain,
( ord_less_eq_int(X1,pls)
| ~ ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2256]) ).
cnf(i_0_2949,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ ord_less_eq_real(times_times_nat(one_one_nat,one_one_real),number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645]) ).
cnf(i_0_2950,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2951,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ ord_less_eq_real(one_one_real,times_times_nat(one_one_nat,number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)))) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2950,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645,i_0_2646]) ).
cnf(i_0_2952,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2953,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ ord_less_eq_nat(times_times_nat(one_one_nat,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_nat(pls)) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2950,i_0_2952,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645,i_0_2646,i_0_2649]) ).
cnf(i_0_2954,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2955,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ ord_less_eq_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),times_times_nat(one_one_nat,number_number_of_nat(pls))) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2950,i_0_2952,i_0_2954,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645,i_0_2646,i_0_2649,i_0_2650]) ).
cnf(i_0_2956,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2957,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ dvd_dvd_nat(times_times_nat(one_one_nat,power_power_nat(one_one_nat,number_number_of_nat(pls))),one_one_nat) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2950,i_0_2952,i_0_2954,i_0_2956,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645,i_0_2646,i_0_2649,i_0_2650,i_0_2651]) ).
cnf(i_0_2958,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2959,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ~ dvd_dvd_nat(power_power_nat(one_one_nat,number_number_of_nat(pls)),times_times_nat(one_one_nat,one_one_nat)) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2950,i_0_2952,i_0_2954,i_0_2956,i_0_2958,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645,i_0_2646,i_0_2649,i_0_2650,i_0_2651,i_0_2652]) ).
cnf(i_0_2960,plain,
times_times_nat(one_one_nat,X1) = X1,
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_2961,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls))
| ord_less_eq_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2950,i_0_2952,i_0_2954,i_0_2956,i_0_2958,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645,i_0_2646,i_0_2649,i_0_2650,i_0_2651,i_0_2652,i_0_2074]) ).
cnf(i_0_2962,plain,
( ~ ord_less_eq_real(number267125858f_real(X1),one_one_real)
| ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2963,plain,
( ord_less_eq_real(number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),times_times_nat(one_one_nat,one_one_real))
| one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(pls)) ),
inference(scs_inference,[],[i_0_1681,i_0_2720,i_0_2874,i_0_2535,i_0_2536,i_0_2741,i_0_2744,i_0_2747,i_0_2750,i_0_2756,i_0_2759,i_0_2762,i_0_2785,i_0_2856,i_0_2859,i_0_2871,i_0_2902,i_0_2713,i_0_2782,i_0_2837,i_0_2341,i_0_2753,i_0_2853,i_0_2723,i_0_2830,i_0_2847,i_0_2849,i_0_2888,i_0_2348,i_0_2674,i_0_2537,i_0_2767,i_0_2792,i_0_2795,i_0_2798,i_0_2818,i_0_2821,i_0_2839,i_0_2841,i_0_2843,i_0_2845,i_0_2940,i_0_2950,i_0_2952,i_0_2954,i_0_2956,i_0_2958,i_0_2544,i_0_2706,i_0_2707,i_0_2708,i_0_2516,i_0_2518,i_0_2520,i_0_2568,i_0_2569,i_0_2571,i_0_2573,i_0_2577,i_0_2578,i_0_2585,i_0_2586,i_0_2593,i_0_2594,i_0_2595,i_0_2611,i_0_2172,i_0_2824,i_0_1863,i_0_1864,i_0_1813,i_0_1810,i_0_1809,i_0_1687,i_0_1772,i_0_1817,i_0_1693,i_0_1697,i_0_1677,i_0_2613,i_0_1939,i_0_1941,i_0_1943,i_0_1945,i_0_1947,i_0_2129,i_0_2166,i_0_2246,i_0_2247,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2291,i_0_2295,i_0_2357,i_0_2370,i_0_2382,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2434,i_0_2435,i_0_2471,i_0_2472,i_0_2473,i_0_2513,i_0_2514,i_0_2515,i_0_2522,i_0_2523,i_0_2632,i_0_2633,i_0_2274,i_0_2375,i_0_2412,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_1750,i_0_1962,i_0_1967,i_0_2059,i_0_2061,i_0_2062,i_0_2064,i_0_2065,i_0_2124,i_0_2162,i_0_2167,i_0_2218,i_0_2275,i_0_2290,i_0_2644,i_0_2647,i_0_2648,i_0_1992,i_0_1854,i_0_1991,i_0_2010,i_0_2012,i_0_2018,i_0_2352,i_0_2403,i_0_2438,i_0_1674,i_0_1940,i_0_1942,i_0_2164,i_0_2235,i_0_2238,i_0_2296,i_0_2297,i_0_2428,i_0_2447,i_0_2460,i_0_2368,i_0_2369,i_0_2667,i_0_1948,i_0_2022,i_0_2255,i_0_2256,i_0_2645,i_0_2646,i_0_2649,i_0_2650,i_0_2651,i_0_2652,i_0_2074,i_0_2446]) ).
cnf(i_0_2964,plain,
( ord_less_eq_real(X1,X2)
| ord_less_eq_real(X2,X1) ),
inference(rename_variables,[],[i_0_2446]) ).
cnf(i_0_2965,plain,
times_times_real(X1,one_one_real) = X1,
inference(rename_variables,[],[i_0_2546]) ).
cnf(i_0_2966,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_2967,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_2968,plain,
ord_less_eq_real(X1,X1),
inference(rename_variables,[],[i_0_2535]) ).
cnf(i_0_2970,plain,
~ zcong(one_one_int,number_number_of_int(min),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_2758,i_0_1776]) ).
cnf(i_0_2971,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_2972,plain,
( ~ ord_less_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)
| ~ zcong(one_one_int,number_number_of_int(min),X1) ),
inference(rename_variables,[],[i_0_1776]) ).
cnf(i_0_2973,plain,
ord_less_real(one_one_real,number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_2758,i_0_2971,i_0_1776,i_0_1944]) ).
cnf(i_0_2974,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_2975,plain,
( ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_real(one_one_real,number267125858f_real(X1)) ),
inference(rename_variables,[],[i_0_1944]) ).
cnf(i_0_2976,plain,
ord_less_int(one_one_int,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_2758,i_0_2971,i_0_2974,i_0_1776,i_0_1944,i_0_1946]) ).
cnf(i_0_2977,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_2978,plain,
( ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_int(one_one_int,number_number_of_int(X1)) ),
inference(rename_variables,[],[i_0_1946]) ).
cnf(i_0_2979,plain,
~ ord_less_eq_int(plus_plus_int(X1,one_one_int),X1),
inference(scs_inference,[],[i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_1776,i_0_1944,i_0_1946,i_0_2287]) ).
cnf(i_0_2980,plain,
~ ord_less_int(X1,X1),
inference(rename_variables,[],[i_0_2781]) ).
cnf(i_0_2981,plain,
( ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ~ ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2287]) ).
cnf(i_0_2982,plain,
~ ord_less_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),X1),
inference(scs_inference,[],[i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288]) ).
cnf(i_0_2983,plain,
( ord_less_eq_int(X1,minus_minus_int(X2,one_one_int))
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2288]) ).
cnf(i_0_2984,plain,
ord_less_real(number267125858f_real(pls),one_one_real),
inference(scs_inference,[],[i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2921,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940]) ).
cnf(i_0_2985,plain,
( ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_real(number267125858f_real(X1),one_one_real) ),
inference(rename_variables,[],[i_0_1940]) ).
cnf(i_0_2986,plain,
ord_less_int(number_number_of_int(pls),one_one_int),
inference(scs_inference,[],[i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2921,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942]) ).
cnf(i_0_2987,plain,
( ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1942]) ).
cnf(i_0_2988,plain,
ord_less_eq_int(number_number_of_int(pls),one_one_int),
inference(scs_inference,[],[i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2921,i_0_2923,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943]) ).
cnf(i_0_2989,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1943]) ).
cnf(i_0_2990,plain,
ord_less_eq_int(one_one_int,number_number_of_int(power_power_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(scs_inference,[],[i_0_1770,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2921,i_0_2923,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947]) ).
cnf(i_0_2991,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_2992,plain,
( ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_eq_int(one_one_int,number_number_of_int(X1)) ),
inference(rename_variables,[],[i_0_1947]) ).
cnf(i_0_2993,plain,
ord_less_eq_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(scs_inference,[],[i_0_1770,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2929,i_0_2921,i_0_2923,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074]) ).
cnf(i_0_2994,plain,
( ~ ord_less_eq_real(number267125858f_real(X1),one_one_real)
| ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2995,plain,
dvd_dvd_int(plus_plus_nat(X1,zero_zero_nat),X1),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2929,i_0_2921,i_0_2923,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129]) ).
cnf(i_0_2996,plain,
( ~ zcong(X1,zero_zero_int,X2)
| dvd_dvd_int(X2,X1) ),
inference(rename_variables,[],[i_0_2129]) ).
cnf(i_0_2997,plain,
ord_less_eq_int(minus_minus_int(plus_plus_int(X1,one_one_int),one_one_int),X1),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248]) ).
cnf(i_0_2998,plain,
ord_less_int(minus_minus_int(X1,one_one_int),X1),
inference(rename_variables,[],[i_0_2761]) ).
cnf(i_0_2999,plain,
( ~ ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2248]) ).
cnf(i_0_3000,plain,
dvd_dvd_nat(times_times_nat(X1,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),times_times_nat(X2,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat))),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258]) ).
cnf(i_0_3001,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3002,plain,
( X1 != zero_zero_nat
| dvd_dvd_nat(times_times_nat(X2,X1),times_times_nat(X3,X1)) ),
inference(rename_variables,[],[i_0_2258]) ).
cnf(i_0_3003,plain,
dvd_dvd_real(X1,power_power_real(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282]) ).
cnf(i_0_3004,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_real(X2,power_power_real(X2,X1)) ),
inference(rename_variables,[],[i_0_2282]) ).
cnf(i_0_3005,plain,
dvd_dvd_nat(X1,power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283]) ).
cnf(i_0_3006,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_nat(X2,power_power_nat(X2,X1)) ),
inference(rename_variables,[],[i_0_2283]) ).
cnf(i_0_3007,plain,
dvd_dvd_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284]) ).
cnf(i_0_3008,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_int(X2,power_power_int(X2,X1)) ),
inference(rename_variables,[],[i_0_2284]) ).
cnf(i_0_3009,plain,
ord_less_eq_nat(number_number_of_nat(min),number_number_of_nat(X1)),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370]) ).
cnf(i_0_3010,plain,
( ~ ord_less_eq_int(X1,pls)
| ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2)) ),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3011,plain,
ord_less_eq_int(pls,plus_plus_int(plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386]) ).
cnf(i_0_3012,plain,
( ~ ord_less_eq_int(zero_zero_int,number_number_of_int(X1))
| ord_less_eq_int(pls,X1) ),
inference(rename_variables,[],[i_0_2386]) ).
cnf(i_0_3013,plain,
dvd_dvd_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_real),power_power_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_real),X1)),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392]) ).
cnf(i_0_3014,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3015,plain,
( X1 != one_one_real
| dvd_dvd_real(X1,power_power_real(X1,X2)) ),
inference(rename_variables,[],[i_0_2392]) ).
cnf(i_0_3016,plain,
dvd_dvd_nat(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_nat),power_power_nat(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_nat),X1)),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393]) ).
cnf(i_0_3017,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3018,plain,
( X1 != one_one_nat
| dvd_dvd_nat(X1,power_power_nat(X1,X2)) ),
inference(rename_variables,[],[i_0_2393]) ).
cnf(i_0_3019,plain,
dvd_dvd_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),power_power_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),X1)),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394]) ).
cnf(i_0_3020,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3021,plain,
( X1 != one_one_int
| dvd_dvd_int(X1,power_power_int(X1,X2)) ),
inference(rename_variables,[],[i_0_2394]) ).
cnf(i_0_3022,plain,
ord_less_eq_int(one_one_int,plus_plus_int(zero_zero_int,one_one_int)),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435]) ).
cnf(i_0_3023,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3024,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ord_less_eq_int(one_one_int,X1) ),
inference(rename_variables,[],[i_0_2435]) ).
cnf(i_0_3025,plain,
one_one_real != number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),
inference(scs_inference,[],[i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460]) ).
cnf(i_0_3026,plain,
( ~ ord_less_real(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_2460]) ).
cnf(i_0_3027,plain,
dvd_dvd_nat(X1,times_times_nat(one_one_nat,X1)),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513]) ).
cnf(i_0_3028,plain,
( X1 != X2
| dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2513]) ).
cnf(i_0_3029,plain,
dvd_dvd_nat(times_times_nat(one_one_nat,X1),X1),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514]) ).
cnf(i_0_3030,plain,
( X1 != X2
| dvd_dvd_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2514]) ).
cnf(i_0_3031,plain,
X1 = plus_plus_nat(X1,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522]) ).
cnf(i_0_3032,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3033,plain,
( X1 != zero_zero_nat
| X2 = plus_plus_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2522]) ).
cnf(i_0_3034,plain,
X1 = plus_plus_real(X1,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_real)),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523]) ).
cnf(i_0_3035,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3036,plain,
( X1 != zero_zero_real
| X2 = plus_plus_real(X2,X1) ),
inference(rename_variables,[],[i_0_2523]) ).
cnf(i_0_3037,plain,
~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(min)),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164]) ).
cnf(i_0_3038,plain,
( ~ ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ~ ord_less_nat(number_number_of_nat(X2),number_number_of_nat(X1)) ),
inference(rename_variables,[],[i_0_2164]) ).
cnf(i_0_3039,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_2991,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246]) ).
cnf(i_0_3040,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_3041,plain,
( ~ ord_less_eq_int(plus_plus_int(X1,one_one_int),X2)
| ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2246]) ).
cnf(i_0_3042,plain,
ord_less_eq_real(one_one_real,number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_2991,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428]) ).
cnf(i_0_3043,plain,
( ~ ord_less_real(X1,X2)
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2428]) ).
cnf(i_0_3044,plain,
ord_less_eq_real(X1,times_times_nat(one_one_nat,X1)),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_2991,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515]) ).
cnf(i_0_3045,plain,
( X1 != X2
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2515]) ).
cnf(i_0_3046,plain,
zcong(zero_zero_int,X1,plus_plus_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_2991,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939]) ).
cnf(i_0_3047,plain,
( ~ zcong(X1,X2,X3)
| zcong(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1939]) ).
cnf(i_0_3048,plain,
ord_less_eq_real(number267125858f_real(pls),one_one_real),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_2991,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941]) ).
cnf(i_0_3049,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_real(number267125858f_real(X1),one_one_real) ),
inference(rename_variables,[],[i_0_1941]) ).
cnf(i_0_3050,plain,
ord_less_eq_real(one_one_real,number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_2991,i_0_3040,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945]) ).
cnf(i_0_3051,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_3052,plain,
( ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_eq_real(one_one_real,number267125858f_real(X1)) ),
inference(rename_variables,[],[i_0_1945]) ).
cnf(i_0_3053,plain,
ord_less_int(zero_zero_int,power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434]) ).
cnf(i_0_3054,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_3055,plain,
( ~ ord_less_eq_int(one_one_int,X1)
| ord_less_int(zero_zero_int,X1) ),
inference(rename_variables,[],[i_0_2434]) ).
cnf(i_0_3056,plain,
ord_less_eq_int(times_times_nat(one_one_nat,min),pls),
inference(scs_inference,[],[i_0_2737,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447]) ).
cnf(i_0_3057,plain,
( ord_less_eq_int(X1,X2)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2447]) ).
cnf(i_0_3058,plain,
plus_plus_nat(plus_plus_int(one_one_int,X1),zero_zero_nat) != X1,
inference(scs_inference,[],[i_0_2737,i_0_2835,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633]) ).
cnf(i_0_3059,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3060,plain,
plus_plus_int(plus_plus_nat(minus_minus_int(esk9_0,X1),zero_zero_nat),X1) = esk9_0,
inference(scs_inference,[],[i_0_2737,i_0_2835,i_0_2829,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613]) ).
cnf(i_0_3061,plain,
power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) != power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273]) ).
cnf(i_0_3062,plain,
( ~ ord_less_real(one_one_real,X1)
| power_power_real(X1,X2) != power_power_real(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_2273]) ).
cnf(i_0_3063,plain,
~ zcong(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),number_number_of_int(min),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659]) ).
cnf(i_0_3064,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3065,plain,
~ zcong(one_one_int,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number_number_of_int(min)),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660]) ).
cnf(i_0_3066,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3067,plain,
~ zcong(one_one_int,number_number_of_int(min),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661]) ).
cnf(i_0_3068,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3069,plain,
~ dvd_dvd_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(one_one_int,one_one_int)),times_times_nat(one_one_nat,one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666]) ).
cnf(i_0_3070,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3071,plain,
one_one_int != zero_zero_int,
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2596,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754]) ).
cnf(i_0_3072,plain,
( ~ ord_less_int(zero_zero_int,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1754]) ).
cnf(i_0_3073,plain,
~ zcong(number_number_of_int(min),one_one_int,plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_2761,i_0_2929,i_0_2921,i_0_2923,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775]) ).
cnf(i_0_3074,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3075,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_3076,plain,
( ~ ord_less_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)
| ~ zcong(X2,number_number_of_int(min),X1)
| ~ zcong(X2,one_one_int,X1) ),
inference(rename_variables,[],[i_0_1775]) ).
cnf(i_0_3077,plain,
dvd_dvd_int(plus_plus_nat(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),X3),zero_zero_nat),plus_plus_int(X1,X3)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_2761,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818]) ).
cnf(i_0_3078,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3079,plain,
( ~ dvd_dvd_int(X1,plus_plus_int(plus_plus_int(X2,times_times_int(X3,X4)),X5))
| dvd_dvd_int(X1,plus_plus_int(X2,X5))
| ~ dvd_dvd_int(X1,X4) ),
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_3080,plain,
~ ord_less_int(plus_plus_int(zero_zero_int,one_one_int),one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_2349,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_2761,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020]) ).
cnf(i_0_3081,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3082,plain,
zcong(X1,X2,one_one_int),
inference(rename_variables,[],[i_0_2349]) ).
cnf(i_0_3083,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ zcong(X1,zero_zero_int,X2)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2020]) ).
cnf(i_0_3084,plain,
ord_less_eq_int(plus_plus_nat(plus_plus_int(plus_plus_int(zero_zero_int,times_times_int(X1,zero_zero_int)),one_one_int),zero_zero_nat),plus_plus_int(zero_zero_int,one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_2349,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320]) ).
cnf(i_0_3085,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3086,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2320]) ).
cnf(i_0_3087,plain,
ord_less_eq_nat(plus_plus_nat(plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat)),zero_zero_nat),plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_2349,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423]) ).
cnf(i_0_3088,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3089,plain,
dvd_dvd_nat(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2813]) ).
cnf(i_0_3090,plain,
( X1 = zero_zero_nat
| ~ dvd_dvd_nat(X2,X1)
| ord_less_eq_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2423]) ).
cnf(i_0_3091,plain,
~ zprime(t),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_2349,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459]) ).
cnf(i_0_3092,plain,
( ord_less_int(one_one_int,X1)
| ~ zprime(X1)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2459]) ).
cnf(i_0_3093,plain,
~ ord_less_int(minus_minus_int(plus_plus_int(X1,power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2893,i_0_2840,i_0_2349,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042]) ).
cnf(i_0_3094,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_3095,plain,
( ord_less_int(plus_plus_int(X1,X2),plus_plus_int(X3,X4))
| ~ ord_less_int(X1,X3)
| ~ ord_less_eq_int(X2,X4) ),
inference(rename_variables,[],[i_0_2042]) ).
cnf(i_0_3096,plain,
~ ord_less_real(power_power_real(plus_plus_nat(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),zero_zero_nat),X3),power_power_real(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),X3)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2893,i_0_2840,i_0_2349,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964]) ).
cnf(i_0_3097,plain,
~ ord_less_real(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3098,plain,
( ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_real(power_power_real(X2,X3),power_power_real(X1,X3))
| ord_less_real(X2,X1) ),
inference(rename_variables,[],[i_0_1964]) ).
cnf(i_0_3099,plain,
ord_less_eq_real(power_power_real(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),X3),power_power_real(plus_plus_nat(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),zero_zero_nat),X3)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2893,i_0_2840,i_0_2349,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2815,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057]) ).
cnf(i_0_3100,plain,
ord_less_eq_real(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2815]) ).
cnf(i_0_3101,plain,
( ~ ord_less_eq_real(zero_zero_real,X1)
| ord_less_eq_real(power_power_real(X1,X2),power_power_real(X3,X2))
| ~ ord_less_eq_real(X1,X3) ),
inference(rename_variables,[],[i_0_2057]) ).
cnf(i_0_3102,plain,
ord_less_eq_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2893,i_0_2840,i_0_2349,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289]) ).
cnf(i_0_3103,plain,
( ~ ord_less_eq_real(X1,X2)
| ord_less_eq_real(X3,X2)
| ~ ord_less_eq_real(X3,X1) ),
inference(rename_variables,[],[i_0_2289]) ).
cnf(i_0_3104,plain,
ord_less_eq_int(power_power_int(power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1),power_power_int(power_power_int(zero_zero_int,number_number_of_nat(pls)),X1)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2893,i_0_2840,i_0_2349,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063]) ).
cnf(i_0_3105,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_3106,plain,
ord_less_eq_int(power_power_int(zero_zero_int,number_number_of_nat(X1)),power_power_int(zero_zero_int,number_number_of_nat(pls))),
inference(rename_variables,[],[i_0_2904]) ).
cnf(i_0_3107,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ord_less_eq_int(power_power_int(X1,X2),power_power_int(X3,X2))
| ~ ord_less_eq_int(X1,X3) ),
inference(rename_variables,[],[i_0_2063]) ).
cnf(i_0_3108,plain,
twoSqu140629262sum2sq(X1) = plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2893,i_0_2840,i_0_2349,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375]) ).
cnf(i_0_3109,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3110,plain,
( minus_minus_int(X1,X2) != X3
| X1 = plus_plus_int(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2375]) ).
cnf(i_0_3111,plain,
quadRes(one_one_int,X1),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750]) ).
cnf(i_0_3112,plain,
zcong(X1,X2,one_one_int),
inference(rename_variables,[],[i_0_2349]) ).
cnf(i_0_3113,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| quadRes(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1750]) ).
cnf(i_0_3114,plain,
dvd_dvd_nat(times_times_nat(X1,times_times_nat(one_one_nat,zero_zero_nat)),zero_zero_nat),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124]) ).
cnf(i_0_3115,plain,
dvd_dvd_nat(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2811]) ).
cnf(i_0_3116,plain,
dvd_dvd_nat(times_times_nat(X1,times_times_nat(one_one_nat,zero_zero_nat)),times_times_nat(X2,times_times_nat(one_one_nat,zero_zero_nat))),
inference(rename_variables,[],[i_0_2766]) ).
cnf(i_0_3117,plain,
( ~ dvd_dvd_nat(X1,plus_plus_nat(X2,X3))
| dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2124]) ).
cnf(i_0_3118,plain,
dvd_dvd_int(plus_plus_nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),zero_zero_nat),plus_plus_nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162]) ).
cnf(i_0_3119,plain,
dvd_dvd_int(X1,power_power_int(X1,power_power_nat(X2,zero_zero_nat))),
inference(rename_variables,[],[i_0_2773]) ).
cnf(i_0_3120,plain,
( ~ dvd_dvd_int(X1,power_power_int(X2,X3))
| ~ zprime(X1)
| dvd_dvd_int(X1,X2) ),
inference(rename_variables,[],[i_0_2162]) ).
cnf(i_0_3121,plain,
power_power_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) != power_power_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274]) ).
cnf(i_0_3122,plain,
( ~ ord_less_int(one_one_int,X1)
| power_power_int(X1,X2) != power_power_int(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_2274]) ).
cnf(i_0_3123,plain,
dvd_dvd_nat(X1,power_power_nat(power_power_nat(X1,plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))),power_power_nat(X2,zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_3088,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218]) ).
cnf(i_0_3124,plain,
dvd_dvd_nat(X1,power_power_nat(X1,power_power_nat(X2,zero_zero_nat))),
inference(rename_variables,[],[i_0_2771]) ).
cnf(i_0_3125,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3126,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,X2),X3)
| X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_3127,plain,
ord_less_eq_int(min,esk6_0),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_3088,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290]) ).
cnf(i_0_3128,plain,
( ~ ord_less_eq_int(X1,X2)
| ord_less_eq_int(X3,X2)
| ~ ord_less_eq_int(X3,X1) ),
inference(rename_variables,[],[i_0_2290]) ).
cnf(i_0_3129,plain,
~ ord_less_int(plus_plus_int(zero_zero_int,one_one_int),plus_plus_nat(plus_plus_int(plus_plus_int(zero_zero_int,times_times_int(X1,zero_zero_int)),one_one_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_3088,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275]) ).
cnf(i_0_3130,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3131,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2275]) ).
cnf(i_0_3132,plain,
~ ord_less_eq_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),one_one_real),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_3088,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369]) ).
cnf(i_0_3133,plain,
( ~ ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2369]) ).
cnf(i_0_3134,plain,
zcong(power_power_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_int,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_3088,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749]) ).
cnf(i_0_3135,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_3136,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| zcong(X2,zero_zero_int,X3)
| ~ dvd_dvd_int(X3,X1) ),
inference(rename_variables,[],[i_0_1749]) ).
cnf(i_0_3137,plain,
zcong(plus_plus_int(plus_plus_int(zero_zero_int,times_times_int(X1,zero_zero_int)),one_one_int),plus_plus_nat(plus_plus_int(plus_plus_int(zero_zero_int,times_times_int(X1,zero_zero_int)),one_one_int),zero_zero_nat),plus_plus_nat(plus_plus_int(plus_plus_int(zero_zero_int,times_times_int(X1,zero_zero_int)),one_one_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_2835,i_0_3059,i_0_3088,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857]) ).
cnf(i_0_3138,plain,
zcong(zero_zero_int,X1,X1),
inference(rename_variables,[],[i_0_2738]) ).
cnf(i_0_3139,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3140,plain,
( ~ zcong(X1,X2,X3)
| zcong(X4,X2,X3)
| ~ zcong(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1857]) ).
cnf(i_0_3141,plain,
plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,X1),zero_zero_nat)) != X1,
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614]) ).
cnf(i_0_3142,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3143,plain,
~ ord_less_real(plus_plus_nat(times_times_nat(one_one_nat,X1),zero_zero_nat),X1),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669]) ).
cnf(i_0_3144,plain,
~ ord_less_real(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3145,plain,
~ ord_less_eq_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),pls),times_times_nat(one_one_nat,min)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_2846,i_0_2893,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655]) ).
cnf(i_0_3146,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3147,plain,
~ ord_less_eq_int(times_times_nat(one_one_nat,pls),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),min)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_2846,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656]) ).
cnf(i_0_3148,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3149,plain,
~ ord_less_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),t),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_2846,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657]) ).
cnf(i_0_3150,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3151,plain,
~ ord_less_int(one_one_int,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),t)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_2846,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658]) ).
cnf(i_0_3152,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3153,plain,
plus_plus_nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),zero_zero_nat) != t,
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_2846,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664]) ).
cnf(i_0_3154,plain,
twoSqu142715416sum2sq(times_times_nat(one_one_nat,plus_plus_nat(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665]) ).
cnf(i_0_3155,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3156,plain,
~ ord_less_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_nat(X1,zero_zero_nat)),X1),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668]) ).
cnf(i_0_3157,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3158,plain,
~ ord_less_eq_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_real),number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645]) ).
cnf(i_0_3159,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3160,plain,
~ ord_less_eq_real(one_one_real,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_1781,i_0_1771,i_0_2781,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646]) ).
cnf(i_0_3161,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3162,plain,
~ ord_less_nat(X1,times_times_nat(one_one_nat,X1)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647]) ).
cnf(i_0_3163,plain,
~ ord_less_nat(X1,X1),
inference(rename_variables,[],[i_0_2864]) ).
cnf(i_0_3164,plain,
~ ord_less_nat(times_times_nat(one_one_nat,X1),X1),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648]) ).
cnf(i_0_3165,plain,
~ ord_less_nat(X1,X1),
inference(rename_variables,[],[i_0_2864]) ).
cnf(i_0_3166,plain,
~ dvd_dvd_int(plus_plus_int(one_one_int,one_one_int),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667]) ).
cnf(i_0_3167,plain,
times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),X1) = X1,
inference(rename_variables,[],[i_0_1919]) ).
cnf(i_0_3168,plain,
is_int(times_times_nat(one_one_nat,twoSqu140629262sum2sq(X1))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644]) ).
cnf(i_0_3169,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3170,plain,
X1 != plus_plus_nat(X1,times_times_nat(one_one_nat,plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat)))),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992]) ).
cnf(i_0_3171,plain,
X1 = plus_plus_nat(X1,times_times_nat(one_one_nat,zero_zero_nat)),
inference(rename_variables,[],[i_0_2817]) ).
cnf(i_0_3172,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3173,plain,
( plus_plus_nat(X1,times_times_nat(X2,X3)) != plus_plus_nat(X4,times_times_nat(X2,X5))
| X2 = zero_zero_nat
| X3 = X5
| X1 != X4 ),
inference(rename_variables,[],[i_0_1992]) ).
cnf(i_0_3174,plain,
ord_less_eq_int(zero_zero_int,t),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2800,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_2595,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352]) ).
cnf(i_0_3175,plain,
( ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2352]) ).
cnf(i_0_3176,plain,
zero_zero_int != t,
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2800,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_1809,i_0_2595,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403]) ).
cnf(i_0_3177,plain,
( ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_2403]) ).
cnf(i_0_3178,plain,
twoSqu140629262sum2sq(X1) = plus_plus_int(twoSqu140629262sum2sq(X1),pls),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2800,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2593,i_0_1809,i_0_2595,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438]) ).
cnf(i_0_3179,plain,
( X1 != zero_zero_int
| X2 = plus_plus_int(X2,X1)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2438]) ).
cnf(i_0_3180,plain,
zcong(plus_plus_nat(minus_minus_int(esk9_0,times_times_int(X1,twoSqu140629262sum2sq(X2))),zero_zero_nat),esk9_0,X1),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2800,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991]) ).
cnf(i_0_3181,plain,
esk9_0 = plus_plus_int(plus_plus_nat(minus_minus_int(esk9_0,X1),zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2829]) ).
cnf(i_0_3182,plain,
( X1 != plus_plus_int(X2,times_times_int(X3,X4))
| ~ is_int(X1)
| zcong(X2,X1,X3)
| ~ is_int(X4) ),
inference(rename_variables,[],[i_0_1991]) ).
cnf(i_0_3183,plain,
~ ord_less_int(one_one_int,plus_plus_nat(one_one_int,zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2800,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978]) ).
cnf(i_0_3184,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3185,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| X1 = zero_zero_int
| ~ zcong(X1,zero_zero_int,X2)
| ~ is_int(X1)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_1978]) ).
cnf(i_0_3186,plain,
one_one_int = t,
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2800,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344]) ).
cnf(i_0_3187,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2344]) ).
cnf(i_0_3188,plain,
ord_less_int(t,one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_2574,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2596,i_0_2800,i_0_2907,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376]) ).
cnf(i_0_3189,plain,
( X1 = X2
| ord_less_int(X2,X1)
| ~ is_int(X1)
| ~ is_int(X2)
| ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2376]) ).
cnf(i_0_3190,plain,
s = esk6_0,
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674]) ).
cnf(i_0_3191,plain,
( ~ ord_less_int(X1,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int))
| ~ zcong(s1,X1,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int))
| ~ ord_less_eq_int(zero_zero_int,X1)
| X1 = esk6_0
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_3192,plain,
ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070]) ).
cnf(i_0_3193,plain,
( ~ ord_less_eq_real(one_one_real,number267125858f_real(X1))
| ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1) ),
inference(rename_variables,[],[i_0_2070]) ).
cnf(i_0_3194,plain,
~ ord_less_int(plus_plus_int(zero_zero_int,power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280]) ).
cnf(i_0_3195,plain,
( ord_less_int(minus_minus_int(X1,X2),zero_zero_int)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2280]) ).
cnf(i_0_3196,plain,
ord_less_int(minus_minus_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),one_one_int),X1),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247]) ).
cnf(i_0_3197,plain,
( ~ ord_less_eq_int(X1,minus_minus_int(X2,one_one_int))
| ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2247]) ).
cnf(i_0_3198,plain,
ord_less_eq_real(number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_real)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446]) ).
cnf(i_0_3199,plain,
( ord_less_eq_real(X1,X2)
| ord_less_eq_real(X2,X1) ),
inference(rename_variables,[],[i_0_2446]) ).
cnf(i_0_3200,plain,
( ~ dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),number_number_of_int(min))
| dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) ),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125]) ).
cnf(i_0_3201,plain,
( ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| ~ dvd_dvd_int(X1,X3)
| dvd_dvd_int(X1,X2) ),
inference(rename_variables,[],[i_0_2125]) ).
cnf(i_0_3202,plain,
~ ord_less_int(power_power_int(one_one_int,X1),power_power_int(t,X1)),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125,i_0_1967]) ).
cnf(i_0_3203,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(power_power_int(X2,X3),power_power_int(X1,X3))
| ord_less_int(X2,X1) ),
inference(rename_variables,[],[i_0_1967]) ).
cnf(i_0_3204,plain,
ord_less_int(plus_plus_int(minus_minus_int(zero_zero_int,one_one_int),one_one_int),one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125,i_0_1967,i_0_2232]) ).
cnf(i_0_3205,plain,
( ~ ord_less_int(minus_minus_int(X1,X2),zero_zero_int)
| ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2232]) ).
cnf(i_0_3206,plain,
( zcong(X1,plus_plus_int(X1,times_times_int(X2,twoSqu140629262sum2sq(X3))),X2)
| ~ is_int(plus_plus_int(X1,times_times_int(X2,twoSqu140629262sum2sq(X3)))) ),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125,i_0_1967,i_0_2232,i_0_2686]) ).
cnf(i_0_3207,plain,
( ~ is_int(X1)
| zcong(X2,plus_plus_int(X2,times_times_int(X3,X1)),X3)
| ~ is_int(plus_plus_int(X2,times_times_int(X3,X1))) ),
inference(rename_variables,[],[i_0_2686]) ).
cnf(i_0_3208,plain,
( ~ dvd_dvd_nat(X1,plus_plus_nat(times_times_nat(X2,X1),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))
| ~ ord_less_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1) ),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125,i_0_1967,i_0_2232,i_0_2686,i_0_2688]) ).
cnf(i_0_3209,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| ~ dvd_dvd_nat(X2,plus_plus_nat(times_times_nat(X3,X2),X1))
| ~ ord_less_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2688]) ).
cnf(i_0_3210,plain,
( dvd_dvd_nat(X1,power_power_nat(power_power_nat(X1,power_power_nat(X2,zero_zero_nat)),plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))))
| power_power_nat(X2,zero_zero_nat) = zero_zero_nat ),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125,i_0_1967,i_0_2232,i_0_2686,i_0_2688,i_0_2028]) ).
cnf(i_0_3211,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,X2),power_power_nat(X3,X2))
| X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2028]) ).
cnf(i_0_3212,plain,
( ~ ord_less_eq_nat(power_power_nat(plus_plus_nat(zero_zero_nat,zero_zero_nat),X1),power_power_nat(zero_zero_nat,X1))
| power_power_nat(plus_plus_nat(zero_zero_nat,zero_zero_nat),X1) = power_power_nat(zero_zero_nat,X1) ),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2941,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125,i_0_1967,i_0_2232,i_0_2686,i_0_2688,i_0_2028,i_0_2409]) ).
cnf(i_0_3213,plain,
( ord_less_nat(X1,X2)
| ~ ord_less_eq_nat(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2409]) ).
cnf(i_0_3214,plain,
( ~ ord_less_eq_real(zero_zero_real,times_times_real(zero_zero_real,zero_zero_real))
| zero_zero_real = times_times_real(zero_zero_real,zero_zero_real) ),
inference(scs_inference,[],[i_0_1681,i_0_2737,i_0_3109,i_0_3155,i_0_2835,i_0_3059,i_0_3088,i_0_3125,i_0_3142,i_0_2731,i_0_2732,i_0_2937,i_0_2829,i_0_2939,i_0_2836,i_0_3097,i_0_3144,i_0_2846,i_0_2848,i_0_2893,i_0_3139,i_0_2838,i_0_2840,i_0_2349,i_0_3082,i_0_1936,i_0_1770,i_0_2991,i_0_3040,i_0_3051,i_0_3054,i_0_3094,i_0_1689,i_0_2697,i_0_2574,i_0_2575,i_0_2580,i_0_1919,i_0_3001,i_0_3014,i_0_3017,i_0_3020,i_0_3032,i_0_3035,i_0_3064,i_0_3066,i_0_3068,i_0_3070,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3157,i_0_3159,i_0_3161,i_0_1781,i_0_1771,i_0_2577,i_0_2781,i_0_2864,i_0_3163,i_0_2876,i_0_2817,i_0_2771,i_0_2773,i_0_2766,i_0_2758,i_0_2971,i_0_2974,i_0_2977,i_0_3023,i_0_3074,i_0_3081,i_0_3085,i_0_2761,i_0_2811,i_0_2813,i_0_2815,i_0_2740,i_0_2883,i_0_2929,i_0_2941,i_0_2904,i_0_2738,i_0_2752,i_0_2804,i_0_2921,i_0_2923,i_0_2589,i_0_2590,i_0_2596,i_0_2800,i_0_2907,i_0_1679,i_0_1696,i_0_2341,i_0_3075,i_0_2571,i_0_2611,i_0_2578,i_0_2593,i_0_1809,i_0_2595,i_0_2585,i_0_1776,i_0_1944,i_0_1946,i_0_2287,i_0_2288,i_0_1940,i_0_1942,i_0_1943,i_0_1947,i_0_2074,i_0_2129,i_0_2248,i_0_2258,i_0_2282,i_0_2283,i_0_2284,i_0_2370,i_0_2386,i_0_2392,i_0_2393,i_0_2394,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2522,i_0_2523,i_0_2164,i_0_2246,i_0_2428,i_0_2515,i_0_1939,i_0_1941,i_0_1945,i_0_2434,i_0_2447,i_0_2633,i_0_2613,i_0_2273,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_1754,i_0_1775,i_0_1818,i_0_2020,i_0_2320,i_0_2423,i_0_2459,i_0_2042,i_0_1964,i_0_2057,i_0_2289,i_0_2063,i_0_2375,i_0_1750,i_0_2124,i_0_2162,i_0_2274,i_0_2218,i_0_2290,i_0_2275,i_0_2369,i_0_1749,i_0_1857,i_0_2614,i_0_2669,i_0_2655,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2667,i_0_2644,i_0_1992,i_0_2352,i_0_2403,i_0_2438,i_0_1991,i_0_1978,i_0_2344,i_0_2376,i_0_1674,i_0_2070,i_0_2280,i_0_2247,i_0_2446,i_0_2125,i_0_1967,i_0_2232,i_0_2686,i_0_2688,i_0_2028,i_0_2409,i_0_2412]) ).
cnf(i_0_3215,plain,
( ord_less_real(X1,X2)
| ~ ord_less_eq_real(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2412]) ).
cnf(i_0_3216,plain,
zcong(X1,X2,plus_plus_nat(minus_minus_int(X1,X2),zero_zero_nat)),
inference(scs_inference,[],[i_0_2995,i_0_2037]) ).
cnf(i_0_3217,plain,
dvd_dvd_int(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2995]) ).
cnf(i_0_3218,plain,
( ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| zcong(X2,X3,X1) ),
inference(rename_variables,[],[i_0_2037]) ).
cnf(i_0_3219,plain,
~ ord_less_int(minus_minus_int(plus_plus_int(X1,one_one_int),one_one_int),X1),
inference(scs_inference,[],[i_0_2995,i_0_2982,i_0_2037,i_0_2155]) ).
cnf(i_0_3220,plain,
~ ord_less_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),X1),
inference(rename_variables,[],[i_0_2982]) ).
cnf(i_0_3221,plain,
( ord_less_int(plus_plus_int(X1,X2),plus_plus_int(X3,X2))
| ~ ord_less_int(X1,X3) ),
inference(rename_variables,[],[i_0_2155]) ).
cnf(i_0_3222,plain,
~ zcong(one_one_int,number_number_of_int(min),power_power_int(plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_3039,i_0_2995,i_0_2982,i_0_2037,i_0_2155,i_0_1776]) ).
cnf(i_0_3223,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3224,plain,
( ~ ord_less_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)
| ~ zcong(one_one_int,number_number_of_int(min),X1) ),
inference(rename_variables,[],[i_0_1776]) ).
cnf(i_0_3225,plain,
~ ord_less_eq_int(minus_minus_int(plus_plus_int(plus_plus_int(X1,one_one_int),power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(scs_inference,[],[i_0_3039,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287]) ).
cnf(i_0_3226,plain,
~ ord_less_int(minus_minus_int(plus_plus_int(X1,power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(rename_variables,[],[i_0_3093]) ).
cnf(i_0_3227,plain,
( ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ~ ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2287]) ).
cnf(i_0_3228,plain,
ord_less_real(one_one_real,number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(scs_inference,[],[i_0_3039,i_0_3223,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944]) ).
cnf(i_0_3229,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3230,plain,
( ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_real(one_one_real,number267125858f_real(X1)) ),
inference(rename_variables,[],[i_0_1944]) ).
cnf(i_0_3231,plain,
ord_less_int(one_one_int,number_number_of_int(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(scs_inference,[],[i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946]) ).
cnf(i_0_3232,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3233,plain,
( ~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_int(one_one_int,number_number_of_int(X1)) ),
inference(rename_variables,[],[i_0_1946]) ).
cnf(i_0_3234,plain,
ord_less_eq_int(one_one_int,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947]) ).
cnf(i_0_3235,plain,
( ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_eq_int(one_one_int,number_number_of_int(X1)) ),
inference(rename_variables,[],[i_0_1947]) ).
cnf(i_0_3236,plain,
dvd_dvd_int(one_one_int,X1),
inference(scs_inference,[],[i_0_2349,i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129]) ).
cnf(i_0_3237,plain,
zcong(X1,X2,one_one_int),
inference(rename_variables,[],[i_0_2349]) ).
cnf(i_0_3238,plain,
( ~ zcong(X1,zero_zero_int,X2)
| dvd_dvd_int(X2,X1) ),
inference(rename_variables,[],[i_0_2129]) ).
cnf(i_0_3239,plain,
dvd_dvd_nat(times_times_nat(X1,times_times_real(zero_zero_nat,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),times_times_nat(X2,times_times_real(zero_zero_nat,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258]) ).
cnf(i_0_3240,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3241,plain,
( X1 != zero_zero_nat
| dvd_dvd_nat(times_times_nat(X2,X1),times_times_nat(X3,X1)) ),
inference(rename_variables,[],[i_0_2258]) ).
cnf(i_0_3242,plain,
dvd_dvd_real(times_times_real(one_one_real,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),power_power_real(times_times_real(one_one_real,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392]) ).
cnf(i_0_3243,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3244,plain,
( X1 != one_one_real
| dvd_dvd_real(X1,power_power_real(X1,X2)) ),
inference(rename_variables,[],[i_0_2392]) ).
cnf(i_0_3245,plain,
dvd_dvd_nat(times_times_real(one_one_nat,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),power_power_nat(times_times_real(one_one_nat,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393]) ).
cnf(i_0_3246,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3247,plain,
( X1 != one_one_nat
| dvd_dvd_nat(X1,power_power_nat(X1,X2)) ),
inference(rename_variables,[],[i_0_2393]) ).
cnf(i_0_3248,plain,
dvd_dvd_int(times_times_real(one_one_int,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),power_power_int(times_times_real(one_one_int,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394]) ).
cnf(i_0_3249,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3250,plain,
( X1 != one_one_int
| dvd_dvd_int(X1,power_power_int(X1,X2)) ),
inference(rename_variables,[],[i_0_2394]) ).
cnf(i_0_3251,plain,
X1 = plus_plus_nat(X1,times_times_real(zero_zero_nat,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522]) ).
cnf(i_0_3252,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3253,plain,
( X1 != zero_zero_nat
| X2 = plus_plus_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2522]) ).
cnf(i_0_3254,plain,
X1 = plus_plus_real(X1,times_times_real(zero_zero_real,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3192,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523]) ).
cnf(i_0_3255,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3256,plain,
( X1 != zero_zero_real
| X2 = plus_plus_real(X2,X1) ),
inference(rename_variables,[],[i_0_2523]) ).
cnf(i_0_3257,plain,
ord_less_eq_int(number_number_of_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),one_one_int),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943]) ).
cnf(i_0_3258,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1943]) ).
cnf(i_0_3259,plain,
ord_less_eq_int(zero_zero_int,times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m)),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248]) ).
cnf(i_0_3260,plain,
( ~ ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2248]) ).
cnf(i_0_3261,plain,
ord_less_eq_nat(number_number_of_nat(minus_minus_int(plus_plus_int(pls,one_one_int),one_one_int)),number_number_of_nat(X1)),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370]) ).
cnf(i_0_3262,plain,
ord_less_eq_int(minus_minus_int(plus_plus_int(X1,one_one_int),one_one_int),X1),
inference(rename_variables,[],[i_0_2997]) ).
cnf(i_0_3263,plain,
( ~ ord_less_eq_int(X1,pls)
| ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2)) ),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3264,plain,
ord_less_eq_int(one_one_int,power_power_int(plus_plus_int(zero_zero_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435]) ).
cnf(i_0_3265,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3266,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ord_less_eq_int(one_one_int,X1) ),
inference(rename_variables,[],[i_0_2435]) ).
cnf(i_0_3267,plain,
number267125858f_real(pls) != one_one_real,
inference(scs_inference,[],[i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460]) ).
cnf(i_0_3268,plain,
( ~ ord_less_real(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_2460]) ).
cnf(i_0_3269,plain,
dvd_dvd_nat(twoSqu140629262sum2sq(X1),plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2)),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513]) ).
cnf(i_0_3270,plain,
( X1 != X2
| dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2513]) ).
cnf(i_0_3271,plain,
dvd_dvd_nat(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),twoSqu140629262sum2sq(X1)),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514]) ).
cnf(i_0_3272,plain,
( X1 != X2
| dvd_dvd_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2514]) ).
cnf(i_0_3273,plain,
ord_less_eq_real(twoSqu140629262sum2sq(X1),plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2)),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515]) ).
cnf(i_0_3274,plain,
( X1 != X2
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2515]) ).
cnf(i_0_3275,plain,
zcong(esk6_0,s1,plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939]) ).
cnf(i_0_3276,plain,
( ~ zcong(X1,X2,X3)
| zcong(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1939]) ).
cnf(i_0_3277,plain,
ord_less_real(number267125858f_real(minus_minus_int(plus_plus_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int),one_one_int)),one_one_real),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3196,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940]) ).
cnf(i_0_3278,plain,
ord_less_int(minus_minus_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),one_one_int),X1),
inference(rename_variables,[],[i_0_3196]) ).
cnf(i_0_3279,plain,
( ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_real(number267125858f_real(X1),one_one_real) ),
inference(rename_variables,[],[i_0_1940]) ).
cnf(i_0_3280,plain,
ord_less_eq_real(number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int)),one_one_real),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941]) ).
cnf(i_0_3281,plain,
ord_less_eq_int(minus_minus_int(plus_plus_int(X1,one_one_int),one_one_int),X1),
inference(rename_variables,[],[i_0_2997]) ).
cnf(i_0_3282,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_real(number267125858f_real(X1),one_one_real) ),
inference(rename_variables,[],[i_0_1941]) ).
cnf(i_0_3283,plain,
ord_less_int(number_number_of_int(minus_minus_int(plus_plus_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int),one_one_int)),one_one_int),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942]) ).
cnf(i_0_3284,plain,
ord_less_int(minus_minus_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),one_one_int),X1),
inference(rename_variables,[],[i_0_3196]) ).
cnf(i_0_3285,plain,
( ~ ord_less_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1942]) ).
cnf(i_0_3286,plain,
ord_less_eq_real(one_one_real,number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428]) ).
cnf(i_0_3287,plain,
( ~ ord_less_real(X1,X2)
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2428]) ).
cnf(i_0_3288,plain,
ord_less_int(zero_zero_int,number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434]) ).
cnf(i_0_3289,plain,
( ~ ord_less_eq_int(one_one_int,X1)
| ord_less_int(zero_zero_int,X1) ),
inference(rename_variables,[],[i_0_2434]) ).
cnf(i_0_3290,plain,
ord_less_eq_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),one_one_real),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446]) ).
cnf(i_0_3291,plain,
( ord_less_eq_real(X1,X2)
| ord_less_eq_real(X2,X1) ),
inference(rename_variables,[],[i_0_2446]) ).
cnf(i_0_3292,plain,
~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(minus_minus_int(plus_plus_int(pls,one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_3108,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164]) ).
cnf(i_0_3293,plain,
( ~ ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ~ ord_less_nat(number_number_of_nat(X2),number_number_of_nat(X1)) ),
inference(rename_variables,[],[i_0_2164]) ).
cnf(i_0_3294,plain,
ord_less_eq_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),min),times_times_nat(one_one_nat,pls)),
inference(scs_inference,[],[i_0_3108,i_0_3147,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447]) ).
cnf(i_0_3295,plain,
( ord_less_eq_int(X1,X2)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2447]) ).
cnf(i_0_3296,plain,
plus_plus_nat(times_times_nat(one_one_nat,plus_plus_int(one_one_int,X1)),zero_zero_nat) != X1,
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633]) ).
cnf(i_0_3297,plain,
plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,X1),zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_3141]) ).
cnf(i_0_3298,plain,
plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2) = twoSqu140629262sum2sq(X1),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2995,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613]) ).
cnf(i_0_3299,plain,
ord_less_eq_int(plus_plus_nat(plus_plus_int(zero_zero_int,one_one_int),zero_zero_nat),plus_plus_int(zero_zero_int,one_one_int)),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2349,i_0_1688,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2979,i_0_2995,i_0_3217,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355]) ).
cnf(i_0_3300,plain,
~ ord_less_eq_int(plus_plus_int(X1,one_one_int),X1),
inference(rename_variables,[],[i_0_2979]) ).
cnf(i_0_3301,plain,
dvd_dvd_int(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2995]) ).
cnf(i_0_3302,plain,
( ord_less_eq_int(X1,zero_zero_int)
| ~ dvd_dvd_int(X2,X1)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2355]) ).
cnf(i_0_3303,plain,
~ ord_less_real(power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),plus_plus_nat(X1,zero_zero_nat)),power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),X1)),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2349,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_2979,i_0_2995,i_0_3217,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953]) ).
cnf(i_0_3304,plain,
( ~ ord_less_real(one_one_real,X1)
| ~ ord_less_real(power_power_real(X1,X2),power_power_real(X1,X3))
| ord_less_nat(X2,X3) ),
inference(rename_variables,[],[i_0_1953]) ).
cnf(i_0_3305,plain,
~ zcong(number_number_of_int(min),one_one_int,power_power_int(plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2349,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_2979,i_0_2995,i_0_3217,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2341,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775]) ).
cnf(i_0_3306,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3307,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_3308,plain,
( ~ ord_less_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1)
| ~ zcong(X2,number_number_of_int(min),X1)
| ~ zcong(X2,one_one_int,X1) ),
inference(rename_variables,[],[i_0_1775]) ).
cnf(i_0_3309,plain,
dvd_dvd_int(plus_plus_nat(plus_plus_int(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),times_times_int(X3,zero_zero_int)),X4),zero_zero_nat),plus_plus_int(X1,X4)),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2349,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_2979,i_0_2995,i_0_3217,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2752,i_0_2341,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818]) ).
cnf(i_0_3310,plain,
dvd_dvd_int(plus_plus_nat(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),X3),zero_zero_nat),plus_plus_int(X1,X3)),
inference(rename_variables,[],[i_0_3077]) ).
cnf(i_0_3311,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3312,plain,
( ~ dvd_dvd_int(X1,plus_plus_int(plus_plus_int(X2,times_times_int(X3,X4)),X5))
| dvd_dvd_int(X1,plus_plus_int(X2,X5))
| ~ dvd_dvd_int(X1,X4) ),
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_3313,plain,
~ ord_less_int(t,plus_plus_nat(t,zero_zero_nat)),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2893,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_2979,i_0_2995,i_0_3217,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2752,i_0_2341,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020]) ).
cnf(i_0_3314,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3315,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ zcong(X1,zero_zero_int,X2)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2020]) ).
cnf(i_0_3316,plain,
dvd_dvd_int(plus_plus_nat(minus_minus_int(X1,zero_zero_int),zero_zero_nat),X1),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2893,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2752,i_0_3311,i_0_2341,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125]) ).
cnf(i_0_3317,plain,
dvd_dvd_int(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2995]) ).
cnf(i_0_3318,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3319,plain,
( ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| ~ dvd_dvd_int(X1,X3)
| dvd_dvd_int(X1,X2) ),
inference(rename_variables,[],[i_0_2125]) ).
cnf(i_0_3320,plain,
ord_less_eq_int(plus_plus_nat(t,zero_zero_nat),t),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2893,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2752,i_0_3311,i_0_2341,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320]) ).
cnf(i_0_3321,plain,
dvd_dvd_int(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2995]) ).
cnf(i_0_3322,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2320]) ).
cnf(i_0_3323,plain,
~ zprime(one_one_int),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2893,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2781,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459]) ).
cnf(i_0_3324,plain,
~ ord_less_int(X1,X1),
inference(rename_variables,[],[i_0_2781]) ).
cnf(i_0_3325,plain,
( ord_less_int(one_one_int,X1)
| ~ zprime(X1)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2459]) ).
cnf(i_0_3326,plain,
dvd_dvd_int(X1,power_power_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2893,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3007,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2781,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167]) ).
cnf(i_0_3327,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_int(X2,power_power_int(X3,X1))
| ~ dvd_dvd_int(X2,X3) ),
inference(rename_variables,[],[i_0_2167]) ).
cnf(i_0_3328,plain,
~ ord_less_int(power_power_int(power_power_int(plus_plus_int(one_one_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),plus_plus_nat(X1,zero_zero_nat)),power_power_int(power_power_int(plus_plus_int(one_one_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1)),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3147,i_0_2893,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3007,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2781,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955]) ).
cnf(i_0_3329,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3330,plain,
( ~ ord_less_int(one_one_int,X1)
| ~ ord_less_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ord_less_nat(X2,X3) ),
inference(rename_variables,[],[i_0_1955]) ).
cnf(i_0_3331,plain,
~ ord_less_real(power_power_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_nat(zero_zero_real,zero_zero_nat)),X1),power_power_real(zero_zero_real,X1)),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3156,i_0_3147,i_0_2893,i_0_2535,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3007,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_2781,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964]) ).
cnf(i_0_3332,plain,
ord_less_eq_real(X1,X1),
inference(rename_variables,[],[i_0_2535]) ).
cnf(i_0_3333,plain,
~ ord_less_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_nat(X1,zero_zero_nat)),X1),
inference(rename_variables,[],[i_0_3156]) ).
cnf(i_0_3334,plain,
( ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_real(power_power_real(X2,X3),power_power_real(X1,X3))
| ord_less_real(X2,X1) ),
inference(rename_variables,[],[i_0_1964]) ).
cnf(i_0_3335,plain,
~ ord_less_eq_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),number267125858f_real(pls)),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_2535,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_3192,i_0_2993,i_0_3007,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289]) ).
cnf(i_0_3336,plain,
( ~ ord_less_eq_real(X1,X2)
| ord_less_eq_real(X3,X2)
| ~ ord_less_eq_real(X3,X1) ),
inference(rename_variables,[],[i_0_2289]) ).
cnf(i_0_3337,plain,
twoSqu140629262sum2sq(X1) = plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_2535,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375]) ).
cnf(i_0_3338,plain,
X1 = plus_plus_nat(X1,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),
inference(rename_variables,[],[i_0_3031]) ).
cnf(i_0_3339,plain,
( minus_minus_int(X1,X2) != X3
| X1 = plus_plus_int(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2375]) ).
cnf(i_0_3340,plain,
quadRes(plus_plus_nat(power_power_int(twoSqu140629262sum2sq(X1),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_nat),zero_zero_int),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750]) ).
cnf(i_0_3341,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3342,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| quadRes(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1750]) ).
cnf(i_0_3343,plain,
dvd_dvd_nat(plus_plus_nat(X1,zero_zero_nat),zero_zero_nat),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2720,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124]) ).
cnf(i_0_3344,plain,
dvd_dvd_nat(X1,X1),
inference(rename_variables,[],[i_0_2720]) ).
cnf(i_0_3345,plain,
( ~ dvd_dvd_nat(X1,plus_plus_nat(X2,X3))
| dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2124]) ).
cnf(i_0_3346,plain,
dvd_dvd_nat(X1,power_power_nat(X1,plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,zero_zero_nat),zero_zero_nat)))),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218]) ).
cnf(i_0_3347,plain,
dvd_dvd_nat(X1,X1),
inference(rename_variables,[],[i_0_2720]) ).
cnf(i_0_3348,plain,
plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,X1),zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_3141]) ).
cnf(i_0_3349,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,X2),X3)
| X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_3350,plain,
~ ord_less_eq_int(plus_plus_int(one_one_int,one_one_int),zero_zero_int),
inference(scs_inference,[],[i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290]) ).
cnf(i_0_3351,plain,
~ ord_less_eq_int(plus_plus_int(X1,one_one_int),X1),
inference(rename_variables,[],[i_0_2979]) ).
cnf(i_0_3352,plain,
( ~ ord_less_eq_int(X1,X2)
| ord_less_eq_int(X3,X2)
| ~ ord_less_eq_int(X3,X1) ),
inference(rename_variables,[],[i_0_2290]) ).
cnf(i_0_3353,plain,
power_power_int(power_power_int(plus_plus_int(one_one_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) != power_power_int(power_power_int(plus_plus_int(one_one_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274]) ).
cnf(i_0_3354,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3355,plain,
( ~ ord_less_int(one_one_int,X1)
| power_power_int(X1,X2) != power_power_int(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_2274]) ).
cnf(i_0_3356,plain,
~ ord_less_int(power_power_int(plus_plus_int(zero_zero_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),plus_plus_int(zero_zero_int,one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275]) ).
cnf(i_0_3357,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3358,plain,
dvd_dvd_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3007]) ).
cnf(i_0_3359,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2275]) ).
cnf(i_0_3360,plain,
zcong(power_power_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_int,X1),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749]) ).
cnf(i_0_3361,plain,
zcong(X1,X1,X2),
inference(rename_variables,[],[i_0_2341]) ).
cnf(i_0_3362,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| zcong(X2,zero_zero_int,X3)
| ~ dvd_dvd_int(X3,X1) ),
inference(rename_variables,[],[i_0_1749]) ).
cnf(i_0_3363,plain,
~ ord_less_eq_real(one_one_real,number267125858f_real(pls)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369]) ).
cnf(i_0_3364,plain,
( ~ ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2369]) ).
cnf(i_0_3365,plain,
~ ord_less_int(power_power_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),X3),power_power_int(zero_zero_int,X3)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967]) ).
cnf(i_0_3366,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_3367,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(power_power_int(X2,X3),power_power_int(X1,X3))
| ord_less_int(X2,X1) ),
inference(rename_variables,[],[i_0_1967]) ).
cnf(i_0_3368,plain,
zcong(X1,plus_plus_nat(X1,zero_zero_nat),plus_plus_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857]) ).
cnf(i_0_3369,plain,
zcong(zero_zero_int,X1,X1),
inference(rename_variables,[],[i_0_2738]) ).
cnf(i_0_3370,plain,
( ~ zcong(X1,X2,X3)
| zcong(X4,X2,X3)
| ~ zcong(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1857]) ).
cnf(i_0_3371,plain,
~ zcong(times_times_real(one_one_int,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number_number_of_int(min)),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659]) ).
cnf(i_0_3372,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3373,plain,
~ zcong(one_one_int,times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number_number_of_int(min)),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660]) ).
cnf(i_0_3374,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3375,plain,
~ zcong(one_one_int,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number_number_of_int(min)),times_times_real(plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661]) ).
cnf(i_0_3376,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3377,plain,
~ dvd_dvd_int(times_times_real(plus_plus_int(one_one_int,one_one_int),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3132,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666]) ).
cnf(i_0_3378,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3379,plain,
plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2)),zero_zero_nat)) != twoSqu140629262sum2sq(X1),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614]) ).
cnf(i_0_3380,plain,
plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,X1),zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_3141]) ).
cnf(i_0_3381,plain,
~ ord_less_real(X1,times_times_real(plus_plus_nat(X1,zero_zero_nat),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669]) ).
cnf(i_0_3382,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3383,plain,
~ ord_less_eq_int(times_times_nat(one_one_nat,pls),times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),min),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656]) ).
cnf(i_0_3384,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3385,plain,
~ ord_less_int(times_times_real(one_one_int,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),t),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657]) ).
cnf(i_0_3386,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3387,plain,
~ ord_less_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658]) ).
cnf(i_0_3388,plain,
plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int) != t,
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664]) ).
cnf(i_0_3389,plain,
twoSqu142715416sum2sq(times_times_nat(one_one_nat,times_times_nat(one_one_nat,plus_plus_nat(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),zero_zero_nat)))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665]) ).
cnf(i_0_3390,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3391,plain,
~ ord_less_real(twoSqu140629262sum2sq(X1),plus_plus_nat(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668]) ).
cnf(i_0_3392,plain,
~ ord_less_real(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2850]) ).
cnf(i_0_3393,plain,
~ ord_less_eq_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_real),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645]) ).
cnf(i_0_3394,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3395,plain,
~ ord_less_eq_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),times_times_real(one_one_real,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646]) ).
cnf(i_0_3396,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3397,plain,
~ ord_less_nat(times_times_real(plus_plus_nat(X1,zero_zero_nat),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X1),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647]) ).
cnf(i_0_3398,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3399,plain,
~ ord_less_nat(plus_plus_nat(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),zero_zero_nat),twoSqu140629262sum2sq(X1)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648]) ).
cnf(i_0_3400,plain,
~ ord_less_nat(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2890]) ).
cnf(i_0_3401,plain,
~ ord_less_eq_int(pls,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),min)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_3390,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655]) ).
cnf(i_0_3402,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3403,plain,
is_int(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_3390,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644]) ).
cnf(i_0_3404,plain,
is_int(twoSqu140629262sum2sq(X1)),
inference(rename_variables,[],[i_0_2580]) ).
cnf(i_0_3405,plain,
~ dvd_dvd_int(plus_plus_int(one_one_int,one_one_int),times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_3390,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667]) ).
cnf(i_0_3406,plain,
times_times_real(X1,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = X1,
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_3407,plain,
zcong(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),X1,plus_plus_nat(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3132,i_0_3186,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854]) ).
cnf(i_0_3408,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3409,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3410,plain,
( ~ zcong(X1,X2,X3)
| zcong(X4,X2,X3)
| ~ zcong(X4,X5,X3)
| X5 != X1 ),
inference(rename_variables,[],[i_0_1854]) ).
cnf(i_0_3411,plain,
X1 != plus_plus_nat(X1,times_times_nat(one_one_nat,plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,zero_zero_nat),zero_zero_nat)))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992]) ).
cnf(i_0_3412,plain,
X1 = plus_plus_nat(X1,times_times_nat(one_one_nat,zero_zero_nat)),
inference(rename_variables,[],[i_0_2817]) ).
cnf(i_0_3413,plain,
plus_plus_int(one_one_int,plus_plus_nat(times_times_nat(one_one_nat,X1),zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_3141]) ).
cnf(i_0_3414,plain,
( plus_plus_nat(X1,times_times_nat(X2,X3)) != plus_plus_nat(X4,times_times_nat(X2,X5))
| X2 = zero_zero_nat
| X3 = X5
| X1 != X4 ),
inference(rename_variables,[],[i_0_1992]) ).
cnf(i_0_3415,plain,
zcong(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1)))),twoSqu140629262sum2sq(X1),X2),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991]) ).
cnf(i_0_3416,plain,
twoSqu140629262sum2sq(X1) = plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),
inference(rename_variables,[],[i_0_3108]) ).
cnf(i_0_3417,plain,
( X1 != plus_plus_int(X2,times_times_int(X3,X4))
| ~ is_int(X1)
| zcong(X2,X1,X3)
| ~ is_int(X4) ),
inference(rename_variables,[],[i_0_1991]) ).
cnf(i_0_3418,plain,
ord_less_eq_int(t,one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352]) ).
cnf(i_0_3419,plain,
( ~ ord_less_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2352]) ).
cnf(i_0_3420,plain,
~ ord_less_eq_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),pls),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358]) ).
cnf(i_0_3421,plain,
( ord_less_eq_real(number267125858f_real(X1),number267125858f_real(X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2358]) ).
cnf(i_0_3422,plain,
~ ord_less_int(one_one_int,zero_zero_int),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286]) ).
cnf(i_0_3423,plain,
( ord_less_eq_int(plus_plus_int(X1,one_one_int),X2)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2286]) ).
cnf(i_0_3424,plain,
times_times_nat(one_one_nat,plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat))) != X1,
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619]) ).
cnf(i_0_3425,plain,
ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070]) ).
cnf(i_0_3426,plain,
( ~ ord_less_eq_real(one_one_real,number267125858f_real(X1))
| ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1) ),
inference(rename_variables,[],[i_0_2070]) ).
cnf(i_0_3427,plain,
~ ord_less_int(minus_minus_int(plus_plus_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288]) ).
cnf(i_0_3428,plain,
( ord_less_eq_int(X1,minus_minus_int(X2,one_one_int))
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2288]) ).
cnf(i_0_3429,plain,
( ~ is_int(plus_plus_int(zero_zero_int,one_one_int))
| plus_plus_int(zero_zero_int,one_one_int) != zero_zero_int ),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754]) ).
cnf(i_0_3430,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3431,plain,
( ~ ord_less_int(zero_zero_int,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1754]) ).
cnf(i_0_3432,plain,
zcong(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1)))),plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1)))),times_times_int(X2,twoSqu140629262sum2sq(X1))),X2),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686]) ).
cnf(i_0_3433,plain,
( ~ is_int(X1)
| zcong(X2,plus_plus_int(X2,times_times_int(X3,X1)),X3)
| ~ is_int(plus_plus_int(X2,times_times_int(X3,X1))) ),
inference(rename_variables,[],[i_0_2686]) ).
cnf(i_0_3434,plain,
~ ord_less_eq_int(one_one_int,zero_zero_int),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3071,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2595,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686,i_0_2344]) ).
cnf(i_0_3435,plain,
( ord_less_int(X1,X2)
| ~ ord_less_eq_int(X1,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2344]) ).
cnf(i_0_3436,plain,
~ ord_less_int(plus_plus_int(plus_plus_int(minus_minus_int(zero_zero_int,one_one_int),one_one_int),power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3071,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2595,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686,i_0_2344,i_0_2280]) ).
cnf(i_0_3437,plain,
( ord_less_int(minus_minus_int(X1,X2),zero_zero_int)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2280]) ).
cnf(i_0_3438,plain,
( ~ dvd_dvd_nat(X1,plus_plus_nat(times_times_nat(X2,X1),power_power_nat(X3,zero_zero_nat)))
| ~ ord_less_nat(power_power_nat(X3,zero_zero_nat),X1) ),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_2708,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3071,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2595,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686,i_0_2344,i_0_2280,i_0_2688]) ).
cnf(i_0_3439,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| ~ dvd_dvd_nat(X2,plus_plus_nat(times_times_nat(X3,X2),X1))
| ~ ord_less_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2688]) ).
cnf(i_0_3440,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,one_one_nat),X1)
| X1 = power_power_nat(X1,one_one_nat) ),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2880,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_2708,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3071,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2595,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686,i_0_2344,i_0_2280,i_0_2688,i_0_2368]) ).
cnf(i_0_3441,plain,
( ~ dvd_dvd_nat(X1,X2)
| ~ dvd_dvd_nat(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2368]) ).
cnf(i_0_3442,plain,
( ~ zprime(plus_plus_nat(power_power_int(X1,X2),zero_zero_nat))
| dvd_dvd_int(plus_plus_nat(power_power_int(X1,X2),zero_zero_nat),X1) ),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2880,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_2708,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3321,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3071,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2595,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686,i_0_2344,i_0_2280,i_0_2688,i_0_2368,i_0_2162]) ).
cnf(i_0_3443,plain,
dvd_dvd_int(plus_plus_nat(X1,zero_zero_nat),X1),
inference(rename_variables,[],[i_0_2995]) ).
cnf(i_0_3444,plain,
( ~ dvd_dvd_int(X1,power_power_int(X2,X3))
| ~ zprime(X1)
| dvd_dvd_int(X1,X2) ),
inference(rename_variables,[],[i_0_2162]) ).
cnf(i_0_3445,plain,
( ~ ord_less_eq_nat(times_times_real(plus_plus_nat(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1)))),times_times_int(X2,twoSqu140629262sum2sq(X1))),zero_zero_nat),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1)))),times_times_int(X2,twoSqu140629262sum2sq(X1))))
| times_times_real(plus_plus_nat(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1)))),times_times_int(X2,twoSqu140629262sum2sq(X1))),zero_zero_nat),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))) = plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1)))),times_times_int(X2,twoSqu140629262sum2sq(X1))) ),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2880,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_2708,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3321,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3071,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2595,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686,i_0_2344,i_0_2280,i_0_2688,i_0_2368,i_0_2162,i_0_2409]) ).
cnf(i_0_3446,plain,
( ord_less_nat(X1,X2)
| ~ ord_less_eq_nat(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2409]) ).
cnf(i_0_3447,plain,
( ~ ord_less_eq_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_nat(X1,zero_zero_nat)),X1)
| times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_nat(X1,zero_zero_nat)) = X1 ),
inference(scs_inference,[],[i_0_1681,i_0_3108,i_0_3141,i_0_3297,i_0_3348,i_0_3380,i_0_3132,i_0_3186,i_0_3188,i_0_2737,i_0_3390,i_0_3402,i_0_2731,i_0_2850,i_0_3166,i_0_3156,i_0_3333,i_0_3065,i_0_3147,i_0_3154,i_0_3149,i_0_2893,i_0_3314,i_0_3341,i_0_2536,i_0_2535,i_0_2349,i_0_2720,i_0_3344,i_0_2577,i_0_2800,i_0_1688,i_0_2880,i_0_2890,i_0_1920,i_0_3240,i_0_3243,i_0_3246,i_0_3249,i_0_3252,i_0_3255,i_0_3372,i_0_3374,i_0_3376,i_0_3378,i_0_3382,i_0_3384,i_0_3386,i_0_3394,i_0_3396,i_0_3398,i_0_1809,i_0_2749,i_0_1712,i_0_1697,i_0_2580,i_0_3404,i_0_2708,i_0_3192,i_0_2993,i_0_3007,i_0_3358,i_0_3031,i_0_3039,i_0_3223,i_0_3229,i_0_3232,i_0_3265,i_0_3306,i_0_3329,i_0_3354,i_0_3357,i_0_2979,i_0_3300,i_0_2995,i_0_3217,i_0_3301,i_0_3317,i_0_3321,i_0_3077,i_0_3093,i_0_2982,i_0_2997,i_0_3262,i_0_3196,i_0_3278,i_0_3160,i_0_2973,i_0_2984,i_0_3048,i_0_3071,i_0_3091,i_0_1698,i_0_2781,i_0_2804,i_0_2817,i_0_2813,i_0_2738,i_0_2752,i_0_3311,i_0_2341,i_0_3307,i_0_2595,i_0_2596,i_0_2589,i_0_2037,i_0_2155,i_0_1776,i_0_2287,i_0_1944,i_0_1946,i_0_1947,i_0_2129,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_1943,i_0_2248,i_0_2370,i_0_2435,i_0_2460,i_0_2513,i_0_2514,i_0_2515,i_0_1939,i_0_1940,i_0_1941,i_0_1942,i_0_2428,i_0_2434,i_0_2446,i_0_2164,i_0_2447,i_0_2633,i_0_2613,i_0_2355,i_0_1953,i_0_1775,i_0_1818,i_0_2020,i_0_2125,i_0_2320,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_2375,i_0_1750,i_0_2124,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2664,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2644,i_0_2667,i_0_1854,i_0_1992,i_0_1991,i_0_2352,i_0_2358,i_0_2286,i_0_2619,i_0_2070,i_0_2288,i_0_1754,i_0_2686,i_0_2344,i_0_2280,i_0_2688,i_0_2368,i_0_2162,i_0_2409,i_0_2412]) ).
cnf(i_0_3448,plain,
( ord_less_real(X1,X2)
| ~ ord_less_eq_real(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2412]) ).
cnf(i_0_3449,plain,
zcong(X1,X2,plus_plus_nat(minus_minus_int(minus_minus_int(X1,X2),zero_zero_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_3316,i_0_2037]) ).
cnf(i_0_3450,plain,
dvd_dvd_int(plus_plus_nat(minus_minus_int(X1,zero_zero_int),zero_zero_nat),X1),
inference(rename_variables,[],[i_0_3316]) ).
cnf(i_0_3451,plain,
( ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| zcong(X2,X3,X1) ),
inference(rename_variables,[],[i_0_2037]) ).
cnf(i_0_3452,plain,
~ ord_less_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),pls),
inference(scs_inference,[],[i_0_3316,i_0_3420,i_0_2037,i_0_2286]) ).
cnf(i_0_3453,plain,
( ord_less_eq_int(plus_plus_int(X1,one_one_int),X2)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2286]) ).
cnf(i_0_3454,plain,
~ ord_less_eq_int(power_power_int(plus_plus_int(zero_zero_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_int),
inference(scs_inference,[],[i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287]) ).
cnf(i_0_3455,plain,
( ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ~ ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2287]) ).
cnf(i_0_3456,plain,
dvd_dvd_nat(times_times_nat(X1,times_times_real(one_one_real,zero_zero_nat)),times_times_nat(X2,times_times_real(one_one_real,zero_zero_nat))),
inference(scs_inference,[],[i_0_2540,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258]) ).
cnf(i_0_3457,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3458,plain,
( X1 != zero_zero_nat
| dvd_dvd_nat(times_times_nat(X2,X1),times_times_nat(X3,X1)) ),
inference(rename_variables,[],[i_0_2258]) ).
cnf(i_0_3459,plain,
dvd_dvd_real(times_times_real(one_one_real,one_one_real),power_power_real(times_times_real(one_one_real,one_one_real),X1)),
inference(scs_inference,[],[i_0_2540,i_0_3457,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392]) ).
cnf(i_0_3460,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3461,plain,
( X1 != one_one_real
| dvd_dvd_real(X1,power_power_real(X1,X2)) ),
inference(rename_variables,[],[i_0_2392]) ).
cnf(i_0_3462,plain,
dvd_dvd_nat(times_times_real(one_one_real,one_one_nat),power_power_nat(times_times_real(one_one_real,one_one_nat),X1)),
inference(scs_inference,[],[i_0_2540,i_0_3457,i_0_3460,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393]) ).
cnf(i_0_3463,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3464,plain,
( X1 != one_one_nat
| dvd_dvd_nat(X1,power_power_nat(X1,X2)) ),
inference(rename_variables,[],[i_0_2393]) ).
cnf(i_0_3465,plain,
dvd_dvd_int(times_times_real(one_one_real,one_one_int),power_power_int(times_times_real(one_one_real,one_one_int),X1)),
inference(scs_inference,[],[i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394]) ).
cnf(i_0_3466,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3467,plain,
( X1 != one_one_int
| dvd_dvd_int(X1,power_power_int(X1,X2)) ),
inference(rename_variables,[],[i_0_2394]) ).
cnf(i_0_3468,plain,
X1 = plus_plus_nat(X1,times_times_real(one_one_real,zero_zero_nat)),
inference(scs_inference,[],[i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522]) ).
cnf(i_0_3469,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3470,plain,
( X1 != zero_zero_nat
| X2 = plus_plus_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2522]) ).
cnf(i_0_3471,plain,
X1 = plus_plus_real(X1,times_times_real(one_one_real,zero_zero_real)),
inference(scs_inference,[],[i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523]) ).
cnf(i_0_3472,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3473,plain,
( X1 != zero_zero_real
| X2 = plus_plus_real(X2,X1) ),
inference(rename_variables,[],[i_0_2523]) ).
cnf(i_0_3474,plain,
ord_less_eq_real(twoSqu140629262sum2sq(X1),plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2)),
inference(scs_inference,[],[i_0_3337,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515]) ).
cnf(i_0_3475,plain,
( X1 != X2
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2515]) ).
cnf(i_0_3476,plain,
dvd_dvd_int(X1,X1),
inference(scs_inference,[],[i_0_3337,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129]) ).
cnf(i_0_3477,plain,
( ~ zcong(X1,zero_zero_int,X2)
| dvd_dvd_int(X2,X1) ),
inference(rename_variables,[],[i_0_2129]) ).
cnf(i_0_3478,plain,
ord_less_eq_nat(number_number_of_nat(times_times_nat(one_one_nat,min)),number_number_of_nat(X1)),
inference(scs_inference,[],[i_0_3337,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3056,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370]) ).
cnf(i_0_3479,plain,
( ~ ord_less_eq_int(X1,pls)
| ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2)) ),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3480,plain,
dvd_dvd_nat(twoSqu140629262sum2sq(X1),plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2)),
inference(scs_inference,[],[i_0_3337,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3056,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513]) ).
cnf(i_0_3481,plain,
( X1 != X2
| dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2513]) ).
cnf(i_0_3482,plain,
dvd_dvd_nat(plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2),twoSqu140629262sum2sq(X1)),
inference(scs_inference,[],[i_0_3337,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3056,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514]) ).
cnf(i_0_3483,plain,
( X1 != X2
| dvd_dvd_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2514]) ).
cnf(i_0_3484,plain,
ord_less_eq_int(number_number_of_int(minus_minus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int)),one_one_int),
inference(scs_inference,[],[i_0_3337,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943]) ).
cnf(i_0_3485,plain,
ord_less_eq_int(minus_minus_int(plus_plus_int(X1,one_one_int),one_one_int),X1),
inference(rename_variables,[],[i_0_2997]) ).
cnf(i_0_3486,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1943]) ).
cnf(i_0_3487,plain,
one_one_real != number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_3337,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3228,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460]) ).
cnf(i_0_3488,plain,
( ~ ord_less_real(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_2460]) ).
cnf(i_0_3489,plain,
zcong(X1,minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),plus_plus_nat(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_3337,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3228,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939]) ).
cnf(i_0_3490,plain,
( ~ zcong(X1,X2,X3)
| zcong(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1939]) ).
cnf(i_0_3491,plain,
ord_less_eq_int(s,times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m)),
inference(scs_inference,[],[i_0_3337,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_1696,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3228,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248]) ).
cnf(i_0_3492,plain,
( ~ ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2248]) ).
cnf(i_0_3493,plain,
ord_less_eq_int(times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),min),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),times_times_nat(one_one_nat,pls)),
inference(scs_inference,[],[i_0_3337,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_1696,i_0_2348,i_0_3356,i_0_3316,i_0_3420,i_0_3228,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447]) ).
cnf(i_0_3494,plain,
( ord_less_eq_int(X1,X2)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2447]) ).
cnf(i_0_3495,plain,
ord_less_eq_int(one_one_int,number_number_of_int(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(scs_inference,[],[i_0_3337,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3316,i_0_3420,i_0_3228,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947]) ).
cnf(i_0_3496,plain,
( ~ ord_less_eq_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X1)
| ord_less_eq_int(one_one_int,number_number_of_int(X1)) ),
inference(rename_variables,[],[i_0_1947]) ).
cnf(i_0_3497,plain,
ord_less_eq_real(number267125858f_real(minus_minus_int(plus_plus_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int),one_one_int)),one_one_real),
inference(scs_inference,[],[i_0_3337,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3316,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428]) ).
cnf(i_0_3498,plain,
( ~ ord_less_real(X1,X2)
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2428]) ).
cnf(i_0_3499,plain,
ord_less_eq_real(times_times_real(one_one_real,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_3337,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446]) ).
cnf(i_0_3500,plain,
( ord_less_eq_real(X1,X2)
| ord_less_eq_real(X2,X1) ),
inference(rename_variables,[],[i_0_2446]) ).
cnf(i_0_3501,plain,
~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(times_times_nat(one_one_nat,min))),
inference(scs_inference,[],[i_0_3337,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164]) ).
cnf(i_0_3502,plain,
( ~ ord_less_eq_nat(number_number_of_nat(X1),number_number_of_nat(X2))
| ~ ord_less_nat(number_number_of_nat(X2),number_number_of_nat(X1)) ),
inference(rename_variables,[],[i_0_2164]) ).
cnf(i_0_3503,plain,
ord_less_int(zero_zero_int,number_number_of_int(power_power_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(scs_inference,[],[i_0_3337,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434]) ).
cnf(i_0_3504,plain,
( ~ ord_less_eq_int(one_one_int,X1)
| ord_less_int(zero_zero_int,X1) ),
inference(rename_variables,[],[i_0_2434]) ).
cnf(i_0_3505,plain,
plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2) = twoSqu140629262sum2sq(X1),
inference(scs_inference,[],[i_0_3337,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613]) ).
cnf(i_0_3506,plain,
ord_less_eq_int(plus_plus_nat(minus_minus_int(one_one_int,zero_zero_int),zero_zero_nat),one_one_int),
inference(scs_inference,[],[i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3450,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355]) ).
cnf(i_0_3507,plain,
dvd_dvd_int(plus_plus_nat(minus_minus_int(X1,zero_zero_int),zero_zero_nat),X1),
inference(rename_variables,[],[i_0_3316]) ).
cnf(i_0_3508,plain,
( ord_less_eq_int(X1,zero_zero_int)
| ~ dvd_dvd_int(X2,X1)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2355]) ).
cnf(i_0_3509,plain,
power_power_real(number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) != power_power_real(number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3450,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273]) ).
cnf(i_0_3510,plain,
( ~ ord_less_real(one_one_real,X1)
| power_power_real(X1,X2) != power_power_real(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_2273]) ).
cnf(i_0_3511,plain,
~ ord_less_nat(power_power_nat(times_times_nat(one_one_nat,zero_zero_nat),X1),power_power_nat(zero_zero_nat,X1)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2855,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3450,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948]) ).
cnf(i_0_3512,plain,
ord_less_eq_nat(X1,X1),
inference(rename_variables,[],[i_0_2855]) ).
cnf(i_0_3513,plain,
~ ord_less_nat(times_times_nat(one_one_nat,X1),X1),
inference(rename_variables,[],[i_0_3164]) ).
cnf(i_0_3514,plain,
( ~ ord_less_eq_nat(zero_zero_nat,X1)
| ~ ord_less_nat(power_power_nat(X2,X3),power_power_nat(X1,X3))
| ord_less_nat(X2,X1) ),
inference(rename_variables,[],[i_0_1948]) ).
cnf(i_0_3515,plain,
~ ord_less_real(power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),times_times_nat(one_one_nat,X1)),power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),X1)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2855,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3450,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953]) ).
cnf(i_0_3516,plain,
( ~ ord_less_real(one_one_real,X1)
| ~ ord_less_real(power_power_real(X1,X2),power_power_real(X1,X3))
| ord_less_nat(X2,X3) ),
inference(rename_variables,[],[i_0_1953]) ).
cnf(i_0_3517,plain,
~ ord_less_int(plus_plus_int(zero_zero_int,one_one_int),plus_plus_nat(plus_plus_int(zero_zero_int,one_one_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3450,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020]) ).
cnf(i_0_3518,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3519,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3520,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ zcong(X1,zero_zero_int,X2)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2020]) ).
cnf(i_0_3521,plain,
dvd_dvd_int(plus_plus_nat(minus_minus_int(minus_minus_int(X1,zero_zero_int),zero_zero_int),zero_zero_nat),X1),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3316,i_0_3450,i_0_3507,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125]) ).
cnf(i_0_3522,plain,
dvd_dvd_int(plus_plus_nat(minus_minus_int(X1,zero_zero_int),zero_zero_nat),X1),
inference(rename_variables,[],[i_0_3316]) ).
cnf(i_0_3523,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3524,plain,
( ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| ~ dvd_dvd_int(X1,X3)
| dvd_dvd_int(X1,X2) ),
inference(rename_variables,[],[i_0_2125]) ).
cnf(i_0_3525,plain,
ord_less_eq_int(plus_plus_nat(plus_plus_int(plus_plus_int(plus_plus_int(zero_zero_int,times_times_int(X1,zero_zero_int)),times_times_int(X2,zero_zero_int)),one_one_int),zero_zero_nat),plus_plus_int(zero_zero_int,one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_3518,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1696,i_0_2348,i_0_3425,i_0_3356,i_0_3395,i_0_3309,i_0_3316,i_0_3450,i_0_3507,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320]) ).
cnf(i_0_3526,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3527,plain,
dvd_dvd_int(plus_plus_nat(plus_plus_int(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),times_times_int(X3,zero_zero_int)),X4),zero_zero_nat),plus_plus_int(X1,X4)),
inference(rename_variables,[],[i_0_3309]) ).
cnf(i_0_3528,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2320]) ).
cnf(i_0_3529,plain,
zcong(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X3)))),plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X3)))),times_times_int(X2,twoSqu140629262sum2sq(X3))),X2),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_3518,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3316,i_0_3450,i_0_3507,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686]) ).
cnf(i_0_3530,plain,
is_int(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2)),
inference(rename_variables,[],[i_0_3403]) ).
cnf(i_0_3531,plain,
( ~ is_int(X1)
| zcong(X2,plus_plus_int(X2,times_times_int(X3,X1)),X3)
| ~ is_int(plus_plus_int(X2,times_times_int(X3,X1))) ),
inference(rename_variables,[],[i_0_2686]) ).
cnf(i_0_3532,plain,
dvd_dvd_int(plus_plus_nat(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),times_times_int(X3,zero_zero_int)),times_times_int(X4,zero_zero_int)),X5),zero_zero_nat),plus_plus_int(X1,X5)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_3518,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_3523,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818]) ).
cnf(i_0_3533,plain,
dvd_dvd_int(plus_plus_nat(plus_plus_int(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),times_times_int(X3,zero_zero_int)),X4),zero_zero_nat),plus_plus_int(X1,X4)),
inference(rename_variables,[],[i_0_3309]) ).
cnf(i_0_3534,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3535,plain,
( ~ dvd_dvd_int(X1,plus_plus_int(plus_plus_int(X2,times_times_int(X3,X4)),X5))
| dvd_dvd_int(X1,plus_plus_int(X2,X5))
| ~ dvd_dvd_int(X1,X4) ),
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_3536,plain,
~ zprime(zero_zero_int),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_3518,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459]) ).
cnf(i_0_3537,plain,
( ord_less_int(one_one_int,X1)
| ~ zprime(X1)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2459]) ).
cnf(i_0_3538,plain,
dvd_dvd_int(X1,power_power_int(power_power_int(X1,power_power_nat(X2,zero_zero_nat)),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_3518,i_0_1809,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_2773,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167]) ).
cnf(i_0_3539,plain,
( ~ ord_less_nat(zero_zero_nat,X1)
| dvd_dvd_int(X2,power_power_int(X3,X1))
| ~ dvd_dvd_int(X2,X3) ),
inference(rename_variables,[],[i_0_2167]) ).
cnf(i_0_3540,plain,
~ ord_less_int(power_power_int(plus_plus_int(one_one_int,one_one_int),times_times_nat(one_one_nat,X1)),power_power_int(plus_plus_int(one_one_int,one_one_int),X1)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_2893,i_0_2855,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_2773,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955]) ).
cnf(i_0_3541,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3542,plain,
( ~ ord_less_int(one_one_int,X1)
| ~ ord_less_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ord_less_nat(X2,X3) ),
inference(rename_variables,[],[i_0_1955]) ).
cnf(i_0_3543,plain,
~ ord_less_real(power_power_real(plus_plus_nat(times_times_nat(one_one_nat,power_power_real(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2))),zero_zero_nat),X3),power_power_real(power_power_real(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)),X3)),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_2773,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964]) ).
cnf(i_0_3544,plain,
~ ord_less_real(plus_plus_nat(times_times_nat(one_one_nat,X1),zero_zero_nat),X1),
inference(rename_variables,[],[i_0_3143]) ).
cnf(i_0_3545,plain,
( ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_real(power_power_real(X2,X3),power_power_real(X1,X3))
| ord_less_real(X2,X1) ),
inference(rename_variables,[],[i_0_1964]) ).
cnf(i_0_3546,plain,
ord_less_eq_real(zero_zero_real,times_times_nat(one_one_nat,power_power_real(X1,times_times_nat(number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),X2)))),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_3044,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_2773,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289]) ).
cnf(i_0_3547,plain,
ord_less_eq_real(X1,times_times_nat(one_one_nat,X1)),
inference(rename_variables,[],[i_0_3044]) ).
cnf(i_0_3548,plain,
( ~ ord_less_eq_real(X1,X2)
| ord_less_eq_real(X3,X2)
| ~ ord_less_eq_real(X3,X1) ),
inference(rename_variables,[],[i_0_2289]) ).
cnf(i_0_3549,plain,
quadRes(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),power_power_int(s1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_3044,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750]) ).
cnf(i_0_3550,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| quadRes(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1750]) ).
cnf(i_0_3551,plain,
dvd_dvd_nat(X1,zero_zero_nat),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_3044,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124]) ).
cnf(i_0_3552,plain,
dvd_dvd_nat(X1,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2811]) ).
cnf(i_0_3553,plain,
( ~ dvd_dvd_nat(X1,plus_plus_nat(X2,X3))
| dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2124]) ).
cnf(i_0_3554,plain,
twoSqu140629262sum2sq(X1) = plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),zero_zero_nat),X2),
inference(scs_inference,[],[i_0_1681,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_3044,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375]) ).
cnf(i_0_3555,plain,
X1 = plus_plus_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_2723]) ).
cnf(i_0_3556,plain,
( minus_minus_int(X1,X2) != X3
| X1 = plus_plus_int(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2375]) ).
cnf(i_0_3557,plain,
dvd_dvd_nat(X1,power_power_nat(power_power_nat(X1,plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))),one_one_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218]) ).
cnf(i_0_3558,plain,
dvd_dvd_nat(X1,power_power_nat(X1,one_one_nat)),
inference(rename_variables,[],[i_0_2880]) ).
cnf(i_0_3559,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3560,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,X2),X3)
| X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_3561,plain,
~ ord_less_eq_int(minus_minus_int(plus_plus_int(plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290]) ).
cnf(i_0_3562,plain,
~ ord_less_eq_int(minus_minus_int(plus_plus_int(plus_plus_int(X1,one_one_int),power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(rename_variables,[],[i_0_3225]) ).
cnf(i_0_3563,plain,
( ~ ord_less_eq_int(X1,X2)
| ord_less_eq_int(X3,X2)
| ~ ord_less_eq_int(X3,X1) ),
inference(rename_variables,[],[i_0_2290]) ).
cnf(i_0_3564,plain,
power_power_int(number_number_of_int(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))) != power_power_int(number_number_of_int(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274]) ).
cnf(i_0_3565,plain,
( ~ ord_less_int(one_one_int,X1)
| power_power_int(X1,X2) != power_power_int(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_2274]) ).
cnf(i_0_3566,plain,
~ ord_less_int(plus_plus_int(zero_zero_int,one_one_int),plus_plus_nat(plus_plus_int(plus_plus_int(plus_plus_int(zero_zero_int,times_times_int(X1,zero_zero_int)),times_times_int(X2,zero_zero_int)),one_one_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3395,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275]) ).
cnf(i_0_3567,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3568,plain,
dvd_dvd_int(plus_plus_nat(plus_plus_int(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),times_times_int(X3,zero_zero_int)),X4),zero_zero_nat),plus_plus_int(X1,X4)),
inference(rename_variables,[],[i_0_3309]) ).
cnf(i_0_3569,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ dvd_dvd_int(X2,X1)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2275]) ).
cnf(i_0_3570,plain,
zcong(X1,zero_zero_int,plus_plus_nat(minus_minus_int(power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749]) ).
cnf(i_0_3571,plain,
zcong(X1,X2,plus_plus_nat(minus_minus_int(X1,X2),zero_zero_nat)),
inference(rename_variables,[],[i_0_3216]) ).
cnf(i_0_3572,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3573,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| zcong(X2,zero_zero_int,X3)
| ~ dvd_dvd_int(X3,X1) ),
inference(rename_variables,[],[i_0_1749]) ).
cnf(i_0_3574,plain,
~ ord_less_eq_real(number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_real),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369]) ).
cnf(i_0_3575,plain,
( ~ ord_less_eq_real(X1,X2)
| ~ ord_less_eq_real(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2369]) ).
cnf(i_0_3576,plain,
~ ord_less_int(power_power_int(plus_plus_int(times_times_int(X1,X1),times_times_int(X2,X2)),X3),power_power_int(zero_zero_int,X3)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967]) ).
cnf(i_0_3577,plain,
ord_less_eq_int(X1,X1),
inference(rename_variables,[],[i_0_2536]) ).
cnf(i_0_3578,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_int(power_power_int(X2,X3),power_power_int(X1,X3))
| ord_less_int(X2,X1) ),
inference(rename_variables,[],[i_0_1967]) ).
cnf(i_0_3579,plain,
zcong(zero_zero_int,X1,plus_plus_nat(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857]) ).
cnf(i_0_3580,plain,
zcong(zero_zero_int,X1,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_3046]) ).
cnf(i_0_3581,plain,
( ~ zcong(X1,X2,X3)
| zcong(X4,X2,X3)
| ~ zcong(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1857]) ).
cnf(i_0_3582,plain,
~ zcong(times_times_real(one_one_real,times_times_real(one_one_int,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number_number_of_int(min)),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659]) ).
cnf(i_0_3583,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3584,plain,
~ zcong(times_times_real(one_one_int,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),times_times_real(one_one_real,times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number_number_of_int(min))),plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660]) ).
cnf(i_0_3585,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3586,plain,
~ zcong(times_times_real(one_one_int,number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),number_number_of_int(min)),times_times_real(one_one_real,plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661]) ).
cnf(i_0_3587,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3588,plain,
~ dvd_dvd_int(times_times_real(one_one_real,plus_plus_int(one_one_int,one_one_int)),times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3337,i_0_3434,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666]) ).
cnf(i_0_3589,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3590,plain,
plus_plus_int(one_one_int,plus_plus_nat(twoSqu140629262sum2sq(X1),zero_zero_nat)) != plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3337,i_0_3298,i_0_3434,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614]) ).
cnf(i_0_3591,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3592,plain,
~ ord_less_real(X1,times_times_real(one_one_real,plus_plus_nat(X1,zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3337,i_0_3298,i_0_3434,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669]) ).
cnf(i_0_3593,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3594,plain,
~ ord_less_eq_int(one_one_int,power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3337,i_0_3298,i_0_3434,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656]) ).
cnf(i_0_3595,plain,
~ ord_less_int(times_times_real(one_one_real,one_one_int),t),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3434,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657]) ).
cnf(i_0_3596,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3597,plain,
~ ord_less_int(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),times_times_real(one_one_real,one_one_int)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3434,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658]) ).
cnf(i_0_3598,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3599,plain,
twoSqu142715416sum2sq(times_times_nat(one_one_nat,times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665]) ).
cnf(i_0_3600,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3601,plain,
~ ord_less_real(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),plus_plus_nat(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X3)),X3),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668]) ).
cnf(i_0_3602,plain,
~ ord_less_real(twoSqu140629262sum2sq(X1),plus_plus_nat(plus_plus_int(times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),X2)),X2),zero_zero_nat)),
inference(rename_variables,[],[i_0_3391]) ).
cnf(i_0_3603,plain,
~ ord_less_eq_real(times_times_real(one_one_real,one_one_real),number267125858f_real(pls)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645]) ).
cnf(i_0_3604,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3605,plain,
~ ord_less_eq_real(one_one_real,times_times_real(one_one_real,number267125858f_real(pls))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_2720,i_0_3164,i_0_3513,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646]) ).
cnf(i_0_3606,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3607,plain,
~ ord_less_nat(times_times_real(one_one_real,number_number_of_nat(X1)),number_number_of_nat(pls)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647]) ).
cnf(i_0_3608,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3609,plain,
~ ord_less_nat(times_times_nat(one_one_nat,plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2)),twoSqu140629262sum2sq(X1)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648]) ).
cnf(i_0_3610,plain,
~ ord_less_nat(times_times_nat(one_one_nat,X1),X1),
inference(rename_variables,[],[i_0_3164]) ).
cnf(i_0_3611,plain,
~ ord_less_eq_int(times_times_real(one_one_real,one_one_int),zero_zero_int),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655]) ).
cnf(i_0_3612,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3613,plain,
plus_plus_nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),zero_zero_nat) != one_one_int,
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664]) ).
cnf(i_0_3614,plain,
is_int(plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644]) ).
cnf(i_0_3615,plain,
is_int(twoSqu140629262sum2sq(X1)),
inference(rename_variables,[],[i_0_2580]) ).
cnf(i_0_3616,plain,
~ dvd_dvd_int(plus_plus_int(one_one_int,one_one_int),times_times_real(one_one_real,times_times_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),one_one_int),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667]) ).
cnf(i_0_3617,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3618,plain,
zcong(minus_minus_int(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),zero_zero_int),X1,plus_plus_nat(minus_minus_int(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),zero_zero_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854]) ).
cnf(i_0_3619,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3620,plain,
X1 = times_times_nat(one_one_nat,X1),
inference(rename_variables,[],[i_0_2737]) ).
cnf(i_0_3621,plain,
( ~ zcong(X1,X2,X3)
| zcong(X4,X2,X3)
| ~ zcong(X4,X5,X3)
| X5 != X1 ),
inference(rename_variables,[],[i_0_1854]) ).
cnf(i_0_3622,plain,
zcong(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X1))),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),twoSqu140629262sum2sq(X1),X2),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991]) ).
cnf(i_0_3623,plain,
twoSqu140629262sum2sq(X1) = plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2),
inference(rename_variables,[],[i_0_3337]) ).
cnf(i_0_3624,plain,
( X1 != plus_plus_int(X2,times_times_int(X3,X4))
| ~ is_int(X1)
| zcong(X2,X1,X3)
| ~ is_int(X4) ),
inference(rename_variables,[],[i_0_1991]) ).
cnf(i_0_3625,plain,
zero_zero_nat = power_power_nat(zero_zero_nat,one_one_nat),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440]) ).
cnf(i_0_3626,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,one_one_nat),X1)
| X1 = power_power_nat(X1,one_one_nat) ),
inference(rename_variables,[],[i_0_3440]) ).
cnf(i_0_3627,plain,
ord_less_int(pls,power_power_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384]) ).
cnf(i_0_3628,plain,
( ~ ord_less_int(zero_zero_int,number_number_of_int(X1))
| ord_less_int(pls,X1) ),
inference(rename_variables,[],[i_0_2384]) ).
cnf(i_0_3629,plain,
ord_less_eq_int(minus_minus_int(plus_plus_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int),one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384,i_0_2074]) ).
cnf(i_0_3630,plain,
( ~ ord_less_eq_real(number267125858f_real(X1),one_one_real)
| ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls)) ),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_3631,plain,
one_one_int != times_times_nat(one_one_nat,minus_minus_int(twoSqu140629262sum2sq(X1),plus_plus_nat(twoSqu140629262sum2sq(X1),zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384,i_0_2074,i_0_2632]) ).
cnf(i_0_3632,plain,
ord_less_eq_nat(times_times_nat(one_one_nat,plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))),plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3591,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_3029,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384,i_0_2074,i_0_2632,i_0_2423]) ).
cnf(i_0_3633,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3634,plain,
dvd_dvd_nat(times_times_nat(one_one_nat,X1),X1),
inference(rename_variables,[],[i_0_3029]) ).
cnf(i_0_3635,plain,
( X1 = zero_zero_nat
| ~ dvd_dvd_nat(X2,X1)
| ord_less_eq_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2423]) ).
cnf(i_0_3636,plain,
dvd_dvd_nat(X1,power_power_nat(power_power_nat(X1,one_one_nat),plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat)))),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3591,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_3029,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2804,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384,i_0_2074,i_0_2632,i_0_2423,i_0_2028]) ).
cnf(i_0_3637,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,X2),power_power_nat(X3,X2))
| X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2028]) ).
cnf(i_0_3638,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1)
| X1 = power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) ),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3591,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_2720,i_0_3164,i_0_3513,i_0_3005,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_3029,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2804,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384,i_0_2074,i_0_2632,i_0_2423,i_0_2028,i_0_2368]) ).
cnf(i_0_3639,plain,
( ~ dvd_dvd_nat(X1,X2)
| ~ dvd_dvd_nat(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2368]) ).
cnf(i_0_3640,plain,
( X1 = power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))
| ~ dvd_dvd_nat(times_times_real(one_one_real,power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),X1) ),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3591,i_0_2731,i_0_3337,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_3617,i_0_2720,i_0_3164,i_0_3513,i_0_3005,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_3029,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2804,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384,i_0_2074,i_0_2632,i_0_2423,i_0_2028,i_0_2368,i_0_2651]) ).
cnf(i_0_3641,plain,
times_times_real(one_one_real,X1) = X1,
inference(rename_variables,[],[i_0_2540]) ).
cnf(i_0_3642,plain,
( plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2) = power_power_nat(plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))
| ~ dvd_dvd_nat(power_power_nat(plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),twoSqu140629262sum2sq(X1)) ),
inference(scs_inference,[],[i_0_1681,i_0_2835,i_0_3559,i_0_3591,i_0_2731,i_0_3337,i_0_3623,i_0_3298,i_0_3363,i_0_3434,i_0_2737,i_0_3600,i_0_2850,i_0_3405,i_0_3371,i_0_3383,i_0_3407,i_0_3391,i_0_3143,i_0_3387,i_0_2846,i_0_2893,i_0_3519,i_0_2855,i_0_2536,i_0_1770,i_0_1742,i_0_2758,i_0_3518,i_0_3526,i_0_3541,i_0_1809,i_0_3044,i_0_1815,i_0_2880,i_0_2973,i_0_2540,i_0_3457,i_0_3460,i_0_3463,i_0_3466,i_0_3469,i_0_3472,i_0_3583,i_0_3585,i_0_3587,i_0_3589,i_0_3593,i_0_3596,i_0_3598,i_0_3604,i_0_3606,i_0_3608,i_0_3612,i_0_3617,i_0_2720,i_0_3164,i_0_3513,i_0_3005,i_0_2919,i_0_2990,i_0_1678,i_0_1864,i_0_3029,i_0_2773,i_0_2811,i_0_1696,i_0_2348,i_0_2723,i_0_2580,i_0_3615,i_0_3425,i_0_3356,i_0_3403,i_0_3216,i_0_3395,i_0_3286,i_0_3309,i_0_3527,i_0_3533,i_0_3225,i_0_3316,i_0_3450,i_0_3507,i_0_3046,i_0_3422,i_0_3420,i_0_3231,i_0_3228,i_0_3277,i_0_3056,i_0_3323,i_0_2997,i_0_2590,i_0_1677,i_0_2804,i_0_2752,i_0_3523,i_0_3534,i_0_2595,i_0_2037,i_0_2286,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2129,i_0_2370,i_0_2513,i_0_2514,i_0_1943,i_0_2460,i_0_1939,i_0_2248,i_0_2447,i_0_1947,i_0_2428,i_0_2446,i_0_2164,i_0_2434,i_0_2613,i_0_2355,i_0_2273,i_0_1948,i_0_1953,i_0_2020,i_0_2125,i_0_2320,i_0_2686,i_0_1818,i_0_2459,i_0_2167,i_0_1955,i_0_1964,i_0_2289,i_0_1750,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_2274,i_0_2275,i_0_1749,i_0_2369,i_0_1967,i_0_1857,i_0_2659,i_0_2660,i_0_2661,i_0_2666,i_0_2614,i_0_2669,i_0_2656,i_0_2657,i_0_2658,i_0_2665,i_0_2668,i_0_2645,i_0_2646,i_0_2647,i_0_2648,i_0_2655,i_0_2664,i_0_2644,i_0_2667,i_0_1854,i_0_1991,i_0_3440,i_0_2384,i_0_2074,i_0_2632,i_0_2423,i_0_2028,i_0_2368,i_0_2651,i_0_2652]) ).
cnf(i_0_3643,plain,
ord_less_eq_nat(X1,X1),
inference(rename_variables,[],[i_0_2855]) ).
cnf(i_0_3644,plain,
( ~ ord_less_eq_nat(power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_nat(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))
| ~ ord_less_eq_nat(zero_zero_nat,X2)
| ord_less_eq_nat(X1,X2) ),
inference(rename_variables,[],[i_0_1729]) ).
cnf(i_0_3645,plain,
~ ord_less_nat(times_times_nat(one_one_nat,X1),X1),
inference(rename_variables,[],[i_0_3164]) ).
cnf(i_0_3646,plain,
ord_less_eq_nat(X1,X1),
inference(rename_variables,[],[i_0_2855]) ).
cnf(i_0_3647,plain,
times_times_nat(one_one_nat,plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat))) != X1,
inference(rename_variables,[],[i_0_3424]) ).
cnf(i_0_3648,plain,
ord_less_eq_real(X1,X1),
inference(rename_variables,[],[i_0_2535]) ).
cnf(i_0_3649,plain,
ord_less_eq_nat(X1,X1),
inference(rename_variables,[],[i_0_2855]) ).
cnf(i_0_3650,plain,
ord_less_eq_nat(X1,X1),
inference(rename_variables,[],[i_0_2855]) ).
cnf(i_0_3651,plain,
~ ord_less_real(X1,times_times_real(plus_plus_nat(X1,zero_zero_nat),number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(rename_variables,[],[i_0_3381]) ).
cnf(i_0_3653,plain,
zero_zero_nat = power_power_nat(zero_zero_nat,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(scs_inference,[],[i_0_3551,i_0_3638]) ).
cnf(i_0_3654,plain,
dvd_dvd_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_3551]) ).
cnf(i_0_3655,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1)
| X1 = power_power_nat(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) ),
inference(rename_variables,[],[i_0_3638]) ).
cnf(i_0_3656,plain,
zcong(X1,X2,minus_minus_int(X1,X2)),
inference(scs_inference,[],[i_0_3476,i_0_3551,i_0_3638,i_0_2037]) ).
cnf(i_0_3657,plain,
dvd_dvd_int(X1,X1),
inference(rename_variables,[],[i_0_3476]) ).
cnf(i_0_3658,plain,
( ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| zcong(X2,X3,X1) ),
inference(rename_variables,[],[i_0_2037]) ).
cnf(i_0_3659,plain,
~ ord_less_eq_int(minus_minus_int(plus_plus_int(plus_plus_int(minus_minus_int(plus_plus_int(X1,one_one_int),one_one_int),one_one_int),power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(scs_inference,[],[i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287]) ).
cnf(i_0_3660,plain,
~ ord_less_int(minus_minus_int(plus_plus_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),one_one_int),X1),
inference(rename_variables,[],[i_0_3427]) ).
cnf(i_0_3661,plain,
( ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ~ ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2287]) ).
cnf(i_0_3662,plain,
dvd_dvd_nat(times_times_nat(X1,times_times_real(zero_zero_nat,one_one_real)),times_times_nat(X2,times_times_real(zero_zero_nat,one_one_real))),
inference(scs_inference,[],[i_0_2546,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258]) ).
cnf(i_0_3663,plain,
times_times_real(X1,one_one_real) = X1,
inference(rename_variables,[],[i_0_2546]) ).
cnf(i_0_3664,plain,
( X1 != zero_zero_nat
| dvd_dvd_nat(times_times_nat(X2,X1),times_times_nat(X3,X1)) ),
inference(rename_variables,[],[i_0_2258]) ).
cnf(i_0_3665,plain,
dvd_dvd_real(power_power_real(one_one_real,one_one_nat),power_power_real(power_power_real(one_one_real,one_one_nat),X1)),
inference(scs_inference,[],[i_0_2546,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392]) ).
cnf(i_0_3666,plain,
power_power_real(X1,one_one_nat) = X1,
inference(rename_variables,[],[i_0_2548]) ).
cnf(i_0_3667,plain,
( X1 != one_one_real
| dvd_dvd_real(X1,power_power_real(X1,X2)) ),
inference(rename_variables,[],[i_0_2392]) ).
cnf(i_0_3668,plain,
dvd_dvd_nat(times_times_real(one_one_nat,one_one_real),power_power_nat(times_times_real(one_one_nat,one_one_real),X1)),
inference(scs_inference,[],[i_0_2546,i_0_3663,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393]) ).
cnf(i_0_3669,plain,
times_times_real(X1,one_one_real) = X1,
inference(rename_variables,[],[i_0_2546]) ).
cnf(i_0_3670,plain,
( X1 != one_one_nat
| dvd_dvd_nat(X1,power_power_nat(X1,X2)) ),
inference(rename_variables,[],[i_0_2393]) ).
cnf(i_0_3671,plain,
dvd_dvd_int(times_times_real(one_one_int,one_one_real),power_power_int(times_times_real(one_one_int,one_one_real),X1)),
inference(scs_inference,[],[i_0_2546,i_0_3663,i_0_3669,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394]) ).
cnf(i_0_3672,plain,
times_times_real(X1,one_one_real) = X1,
inference(rename_variables,[],[i_0_2546]) ).
cnf(i_0_3673,plain,
( X1 != one_one_int
| dvd_dvd_int(X1,power_power_int(X1,X2)) ),
inference(rename_variables,[],[i_0_2394]) ).
cnf(i_0_3674,plain,
X1 = plus_plus_nat(X1,times_times_real(zero_zero_nat,one_one_real)),
inference(scs_inference,[],[i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522]) ).
cnf(i_0_3675,plain,
times_times_real(X1,one_one_real) = X1,
inference(rename_variables,[],[i_0_2546]) ).
cnf(i_0_3676,plain,
( X1 != zero_zero_nat
| X2 = plus_plus_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2522]) ).
cnf(i_0_3677,plain,
X1 = plus_plus_real(X1,times_times_real(zero_zero_real,one_one_real)),
inference(scs_inference,[],[i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523]) ).
cnf(i_0_3678,plain,
times_times_real(X1,one_one_real) = X1,
inference(rename_variables,[],[i_0_2546]) ).
cnf(i_0_3679,plain,
( X1 != zero_zero_real
| X2 = plus_plus_real(X2,X1) ),
inference(rename_variables,[],[i_0_2523]) ).
cnf(i_0_3680,plain,
ord_less_eq_real(plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2),twoSqu140629262sum2sq(X1)),
inference(scs_inference,[],[i_0_3505,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515]) ).
cnf(i_0_3681,plain,
( X1 != X2
| ord_less_eq_real(X1,X2) ),
inference(rename_variables,[],[i_0_2515]) ).
cnf(i_0_3682,plain,
dvd_dvd_nat(zero_zero_real,power_power_real(zero_zero_real,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513]) ).
cnf(i_0_3683,plain,
( X1 != X2
| dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2513]) ).
cnf(i_0_3684,plain,
dvd_dvd_nat(power_power_real(zero_zero_real,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_real),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514]) ).
cnf(i_0_3685,plain,
( X1 != X2
| dvd_dvd_nat(X2,X1) ),
inference(rename_variables,[],[i_0_2514]) ).
cnf(i_0_3686,plain,
zcong(X1,minus_minus_int(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),zero_zero_int),plus_plus_nat(minus_minus_int(minus_minus_int(times_times_nat(one_one_nat,zero_zero_int),X1),zero_zero_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939]) ).
cnf(i_0_3687,plain,
( ~ zcong(X1,X2,X3)
| zcong(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1939]) ).
cnf(i_0_3688,plain,
ord_less_eq_int(number_number_of_int(minus_minus_int(plus_plus_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int),one_one_int)),one_one_int),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3629,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943]) ).
cnf(i_0_3689,plain,
( ~ ord_less_eq_int(X1,plus_plus_int(plus_plus_int(one_one_int,pls),pls))
| ord_less_eq_int(number_number_of_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_1943]) ).
cnf(i_0_3690,plain,
dvd_dvd_int(plus_plus_nat(minus_minus_int(power_power_int(zero_zero_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1),zero_zero_nat),X1),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129]) ).
cnf(i_0_3691,plain,
( ~ zcong(X1,zero_zero_int,X2)
| dvd_dvd_int(X2,X1) ),
inference(rename_variables,[],[i_0_2129]) ).
cnf(i_0_3692,plain,
ord_less_eq_int(times_times_nat(one_one_nat,min),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),pls)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_3145,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447]) ).
cnf(i_0_3693,plain,
( ord_less_eq_int(X1,X2)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2447]) ).
cnf(i_0_3694,plain,
number267125858f_real(minus_minus_int(plus_plus_int(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),one_one_int),one_one_int)) != one_one_real,
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_3145,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3427,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460]) ).
cnf(i_0_3695,plain,
( ~ ord_less_real(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_2460]) ).
cnf(i_0_3696,plain,
ord_less_eq_int(minus_minus_int(plus_plus_int(minus_minus_int(plus_plus_int(X1,one_one_int),one_one_int),one_one_int),one_one_int),X1),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_3145,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3196,i_0_3427,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248]) ).
cnf(i_0_3697,plain,
ord_less_int(minus_minus_int(plus_plus_int(minus_minus_int(X1,one_one_int),one_one_int),one_one_int),X1),
inference(rename_variables,[],[i_0_3196]) ).
cnf(i_0_3698,plain,
( ~ ord_less_int(X1,plus_plus_int(X2,one_one_int))
| ord_less_eq_int(X1,X2) ),
inference(rename_variables,[],[i_0_2248]) ).
cnf(i_0_3699,plain,
ord_less_eq_real(number267125858f_real(pls),number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_3145,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3196,i_0_3427,i_0_3335,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446]) ).
cnf(i_0_3700,plain,
( ord_less_eq_real(X1,X2)
| ord_less_eq_real(X2,X1) ),
inference(rename_variables,[],[i_0_2446]) ).
cnf(i_0_3701,plain,
ord_less_int(zero_zero_int,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3618,i_0_3145,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434]) ).
cnf(i_0_3702,plain,
( ~ ord_less_eq_int(one_one_int,X1)
| ord_less_int(zero_zero_int,X1) ),
inference(rename_variables,[],[i_0_2434]) ).
cnf(i_0_3703,plain,
plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),zero_zero_nat),X2) = twoSqu140629262sum2sq(X1),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613]) ).
cnf(i_0_3704,plain,
ord_less_eq_int(power_power_int(one_one_int,X1),power_power_int(power_power_int(one_one_int,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X1)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_1770,i_0_2577,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063]) ).
cnf(i_0_3705,plain,
ord_less_eq_int(X1,power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_3706,plain,
( ~ ord_less_eq_int(zero_zero_int,X1)
| ord_less_eq_int(power_power_int(X1,X2),power_power_int(X3,X2))
| ~ ord_less_eq_int(X1,X3) ),
inference(rename_variables,[],[i_0_2063]) ).
cnf(i_0_3707,plain,
ord_less_eq_int(one_one_int,times_times_real(one_one_real,one_one_int)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_1770,i_0_2577,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355]) ).
cnf(i_0_3708,plain,
dvd_dvd_int(one_one_int,X1),
inference(rename_variables,[],[i_0_3236]) ).
cnf(i_0_3709,plain,
( ord_less_eq_int(X1,zero_zero_int)
| ~ dvd_dvd_int(X2,X1)
| ord_less_eq_int(X2,X1) ),
inference(rename_variables,[],[i_0_2355]) ).
cnf(i_0_3710,plain,
~ ord_less_real(power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),X1),power_power_real(number267125858f_real(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int)),times_times_nat(one_one_nat,X1))),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_1770,i_0_2577,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953]) ).
cnf(i_0_3711,plain,
( ~ ord_less_real(one_one_real,X1)
| ~ ord_less_real(power_power_real(X1,X2),power_power_real(X1,X3))
| ord_less_nat(X2,X3) ),
inference(rename_variables,[],[i_0_1953]) ).
cnf(i_0_3712,plain,
~ ord_less_int(power_power_int(plus_plus_int(zero_zero_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),plus_plus_nat(power_power_int(plus_plus_int(zero_zero_int,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_nat)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_2893,i_0_1770,i_0_2577,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_3476,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020]) ).
cnf(i_0_3713,plain,
ord_less_int(X1,power_power_int(plus_plus_int(X1,one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3714,plain,
zcong(X1,zero_zero_int,plus_plus_nat(X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_3715,plain,
( ~ ord_less_int(zero_zero_int,X1)
| ~ zcong(X1,zero_zero_int,X2)
| ~ ord_less_int(X1,X2) ),
inference(rename_variables,[],[i_0_2020]) ).
cnf(i_0_3716,plain,
dvd_dvd_int(minus_minus_int(X1,zero_zero_int),X1),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_2893,i_0_1770,i_0_2577,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_3476,i_0_3657,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_2752,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125]) ).
cnf(i_0_3717,plain,
dvd_dvd_int(X1,X1),
inference(rename_variables,[],[i_0_3476]) ).
cnf(i_0_3718,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3719,plain,
( ~ dvd_dvd_int(X1,minus_minus_int(X2,X3))
| ~ dvd_dvd_int(X1,X3)
| dvd_dvd_int(X1,X2) ),
inference(rename_variables,[],[i_0_2125]) ).
cnf(i_0_3720,plain,
zcong(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X3))),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),times_times_int(X2,twoSqu140629262sum2sq(X3))),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),times_times_int(X2,twoSqu140629262sum2sq(X3))),X2),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_2893,i_0_1770,i_0_2577,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2580,i_0_3476,i_0_3657,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_2752,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686]) ).
cnf(i_0_3721,plain,
is_int(plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),zero_zero_nat)),X2)),
inference(rename_variables,[],[i_0_3614]) ).
cnf(i_0_3722,plain,
( ~ is_int(X1)
| zcong(X2,plus_plus_int(X2,times_times_int(X3,X1)),X3)
| ~ is_int(plus_plus_int(X2,times_times_int(X3,X1))) ),
inference(rename_variables,[],[i_0_2686]) ).
cnf(i_0_3723,plain,
dvd_dvd_int(plus_plus_int(plus_plus_int(X1,times_times_int(X2,zero_zero_int)),X3),plus_plus_int(X1,X3)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_2893,i_0_1770,i_0_2577,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818]) ).
cnf(i_0_3724,plain,
dvd_dvd_int(X1,X1),
inference(rename_variables,[],[i_0_3476]) ).
cnf(i_0_3725,plain,
dvd_dvd_int(X1,zero_zero_int),
inference(rename_variables,[],[i_0_2752]) ).
cnf(i_0_3726,plain,
( ~ dvd_dvd_int(X1,plus_plus_int(plus_plus_int(X2,times_times_int(X3,X4)),X5))
| dvd_dvd_int(X1,plus_plus_int(X2,X5))
| ~ dvd_dvd_int(X1,X4) ),
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_3727,plain,
~ ord_less_int(power_power_int(plus_plus_int(one_one_int,one_one_int),X1),power_power_int(plus_plus_int(one_one_int,one_one_int),times_times_nat(one_one_nat,X1))),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_2893,i_0_1770,i_0_2577,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955]) ).
cnf(i_0_3728,plain,
ord_less_int(X1,plus_plus_int(X1,one_one_int)),
inference(rename_variables,[],[i_0_2758]) ).
cnf(i_0_3729,plain,
( ~ ord_less_int(one_one_int,X1)
| ~ ord_less_int(power_power_int(X1,X2),power_power_int(X1,X3))
| ord_less_nat(X2,X3) ),
inference(rename_variables,[],[i_0_1955]) ).
cnf(i_0_3730,plain,
~ ord_less_real(power_power_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_nat(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),zero_zero_nat)),X3),power_power_real(plus_plus_real(times_times_real(X1,X1),times_times_real(X2,X2)),X3)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964]) ).
cnf(i_0_3731,plain,
~ ord_less_real(times_times_real(number267125858f_real(plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_nat(X1,zero_zero_nat)),X1),
inference(rename_variables,[],[i_0_3156]) ).
cnf(i_0_3732,plain,
( ~ ord_less_eq_real(zero_zero_real,X1)
| ~ ord_less_real(power_power_real(X2,X3),power_power_real(X1,X3))
| ord_less_real(X2,X1) ),
inference(rename_variables,[],[i_0_1964]) ).
cnf(i_0_3733,plain,
zero_zero_nat = power_power_nat(power_power_nat(zero_zero_nat,plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))),power_power_nat(X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368]) ).
cnf(i_0_3734,plain,
dvd_dvd_nat(X1,power_power_nat(power_power_nat(X1,plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat))),power_power_nat(X2,zero_zero_nat))),
inference(rename_variables,[],[i_0_3123]) ).
cnf(i_0_3735,plain,
dvd_dvd_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_3551]) ).
cnf(i_0_3736,plain,
( ~ dvd_dvd_nat(X1,X2)
| ~ dvd_dvd_nat(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_2368]) ).
cnf(i_0_3737,plain,
~ ord_less_eq_real(number267125858f_real(power_power_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),number267125858f_real(minus_minus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),one_one_int))),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3574,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2929,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368,i_0_2289]) ).
cnf(i_0_3738,plain,
( ~ ord_less_eq_real(X1,X2)
| ord_less_eq_real(X3,X2)
| ~ ord_less_eq_real(X3,X1) ),
inference(rename_variables,[],[i_0_2289]) ).
cnf(i_0_3739,plain,
dvd_dvd_nat(times_times_nat(one_one_nat,plus_plus_nat(zero_zero_nat,X1)),X1),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3574,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2929,i_0_3029,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3735,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368,i_0_2289,i_0_2124]) ).
cnf(i_0_3740,plain,
dvd_dvd_nat(times_times_nat(one_one_nat,X1),X1),
inference(rename_variables,[],[i_0_3029]) ).
cnf(i_0_3741,plain,
dvd_dvd_nat(X1,zero_zero_nat),
inference(rename_variables,[],[i_0_3551]) ).
cnf(i_0_3742,plain,
( ~ dvd_dvd_nat(X1,plus_plus_nat(X2,X3))
| dvd_dvd_nat(X1,X3)
| ~ dvd_dvd_nat(X1,X2) ),
inference(rename_variables,[],[i_0_2124]) ).
cnf(i_0_3743,plain,
twoSqu140629262sum2sq(X1) = plus_plus_int(plus_plus_nat(minus_minus_int(twoSqu140629262sum2sq(X1),X2),times_times_nat(one_one_nat,zero_zero_nat)),X2),
inference(scs_inference,[],[i_0_3505,i_0_2832,i_0_3554,i_0_3574,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2929,i_0_3029,i_0_2817,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3735,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368,i_0_2289,i_0_2124,i_0_2375]) ).
cnf(i_0_3744,plain,
X1 = plus_plus_nat(X1,times_times_nat(one_one_nat,zero_zero_nat)),
inference(rename_variables,[],[i_0_2817]) ).
cnf(i_0_3745,plain,
( minus_minus_int(X1,X2) != X3
| X1 = plus_plus_int(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2375]) ).
cnf(i_0_3746,plain,
dvd_dvd_nat(X1,power_power_nat(X1,plus_plus_int(one_one_int,plus_plus_nat(zero_zero_nat,zero_zero_nat)))),
inference(scs_inference,[],[i_0_2835,i_0_3505,i_0_2832,i_0_3554,i_0_3574,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2720,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2929,i_0_3029,i_0_2817,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3735,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368,i_0_2289,i_0_2124,i_0_2375,i_0_2218]) ).
cnf(i_0_3747,plain,
dvd_dvd_nat(X1,X1),
inference(rename_variables,[],[i_0_2720]) ).
cnf(i_0_3748,plain,
plus_plus_int(one_one_int,plus_plus_nat(X1,zero_zero_nat)) != X1,
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3749,plain,
( ~ dvd_dvd_nat(power_power_nat(X1,X2),X3)
| X2 = zero_zero_nat
| dvd_dvd_nat(X1,X3) ),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_3750,plain,
~ ord_less_eq_int(plus_plus_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),one_one_int),zero_zero_int),
inference(scs_inference,[],[i_0_2835,i_0_3505,i_0_2832,i_0_3554,i_0_3574,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1810,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2720,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_2979,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2929,i_0_3029,i_0_2817,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3735,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368,i_0_2289,i_0_2124,i_0_2375,i_0_2218,i_0_2290]) ).
cnf(i_0_3751,plain,
~ ord_less_eq_int(plus_plus_int(X1,one_one_int),X1),
inference(rename_variables,[],[i_0_2979]) ).
cnf(i_0_3752,plain,
( ~ ord_less_eq_int(X1,X2)
| ord_less_eq_int(X3,X2)
| ~ ord_less_eq_int(X3,X1) ),
inference(rename_variables,[],[i_0_2290]) ).
cnf(i_0_3753,plain,
quadRes(power_power_int(twoSqu140629262sum2sq(X1),number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),zero_zero_int),
inference(scs_inference,[],[i_0_2835,i_0_3505,i_0_2832,i_0_3554,i_0_3574,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2577,i_0_1810,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2720,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_2979,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_2929,i_0_3029,i_0_2817,i_0_2348,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3735,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368,i_0_2289,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_1750]) ).
cnf(i_0_3754,plain,
zcong(X1,zero_zero_int,X1),
inference(rename_variables,[],[i_0_2348]) ).
cnf(i_0_3755,plain,
( ~ zcong(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),X2,X3)
| quadRes(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_1750]) ).
cnf(i_0_3756,plain,
$false,
inference(scs_inference,[],[i_0_3188,i_0_2835,i_0_3505,i_0_2832,i_0_3554,i_0_3574,i_0_3618,i_0_3145,i_0_3611,i_0_3156,i_0_2893,i_0_1770,i_0_2800,i_0_2577,i_0_1810,i_0_1936,i_0_2758,i_0_3039,i_0_2546,i_0_3663,i_0_3669,i_0_3672,i_0_3675,i_0_2720,i_0_2973,i_0_3162,i_0_2548,i_0_3196,i_0_3123,i_0_2979,i_0_3427,i_0_3234,i_0_3335,i_0_3236,i_0_3708,i_0_2929,i_0_3029,i_0_2817,i_0_2348,i_0_2580,i_0_3476,i_0_3657,i_0_3717,i_0_3614,i_0_3629,i_0_3570,i_0_3551,i_0_3654,i_0_3735,i_0_3277,i_0_2752,i_0_3718,i_0_3638,i_0_2037,i_0_2287,i_0_2258,i_0_2392,i_0_2393,i_0_2394,i_0_2522,i_0_2523,i_0_2515,i_0_2513,i_0_2514,i_0_1939,i_0_1943,i_0_2129,i_0_2447,i_0_2460,i_0_2248,i_0_2446,i_0_2434,i_0_2613,i_0_2063,i_0_2355,i_0_1953,i_0_2020,i_0_2125,i_0_2686,i_0_1818,i_0_1955,i_0_1964,i_0_2368,i_0_2289,i_0_2124,i_0_2375,i_0_2218,i_0_2290,i_0_1750,i_0_2275]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM926+2 : TPTP v9.2.1. Released v5.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:18:46 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 7.02/5.74 % Version : CSE_E---1.7
% 7.02/5.74 % Problem : theBenchmark.p
% 7.02/5.74 % SZS status Theorem for theBenchmark.p
% 7.02/5.74 % SZS output start CNFRefutation
% See solution above
% 23.86/14.18 % Total time : 5.393s
%------------------------------------------------------------------------------