%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM926+3 : 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 : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:58:57 PM UTC 2026
% Result : Theorem 8.46s 5.85s
% Output : CNFRefutation 37.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_1395)
% Comments :
%------------------------------------------------------------------------------
fof(fact_610__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N,axiom,
( ~ hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_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),hAPP_int_int(plus_plus_int(hAPP_int_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_610__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N) ).
fof(fact_512__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4_,axiom,
~ ! [X266] :
( is_int(X266)
=> ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X266),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_512__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4_) ).
fof(conj_0,conjecture,
? [X3,X4] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_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_479_not__sum__power2__lt__zero,axiom,
! [X245,X246] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X245),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X246),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_479_not__sum__power2__lt__zero) ).
fof(fact_480_not__sum__power2__lt__zero,axiom,
! [X245,X246] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X245),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X246),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_480_not__sum__power2__lt__zero) ).
fof(fact_504_Euler_Oaux____1,axiom,
! [X22,X21,X152] :
( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X22),number_number_of_nat(bit0(bit1(pls)))),X21),X152))
=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_504_Euler_Oaux____1) ).
fof(fact_451_power2__less__0,axiom,
! [X228] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X228),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_451_power2__less__0) ).
fof(fact_452_power2__less__0,axiom,
! [X228] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X228),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_452_power2__less__0) ).
fof(fact_1088_aux______4,axiom,
! [X23,X5,X25,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X152,X25)),X25)),X23),hAPP_int_int(times_times_int(multInv(X152,X25)),X5)),X152))
=> hBOOL(hAPP_int_bool(zcong(X23,hAPP_int_int(times_times_int(X5),multInv(X152,X25))),X152)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1088_aux______4) ).
fof(fact_1135_zmod__number__of__Bit1,axiom,
! [X41,X17] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X17)))
=> hAPP_int_int(div_mod_int(number_number_of_int(bit1(X41))),number_number_of_int(bit0(X17))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X41)),number_number_of_int(X17)))),one_one_int) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X17)))
=> hAPP_int_int(div_mod_int(number_number_of_int(bit1(X41))),number_number_of_int(bit0(X17))) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(number_number_of_int(X41)),one_one_int)),number_number_of_int(X17)))),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1135_zmod__number__of__Bit1) ).
fof(fact_1089_aux______2,axiom,
! [X25,X5,X23,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X23,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X25),X23),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X23)),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X25),X23),X5),X152)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1089_aux______2) ).
fof(fact_1093_Int2_Oaux____1,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(multInv(X152,multInv(X152,X21)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X21),multInv(X152,X21))),multInv(X152,multInv(X152,X21)))),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1093_Int2_Oaux____1) ).
fof(fact_1092_Int2_Oaux____2,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X21),multInv(X152,X21))),multInv(X152,multInv(X152,X21))),X21),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1092_Int2_Oaux____2) ).
fof(fact_1091_MultInv__zcong__prop3,axiom,
! [X25,X23,X5,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X23,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),multInv(X152,X25)),hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X152))
=> hBOOL(hAPP_int_bool(zcong(X25,X23),X152)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1091_MultInv__zcong__prop3) ).
fof(fact_1090_MultInv__zcong__prop2,axiom,
! [X5,X25,X23,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X23,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X25,hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X152))
=> hBOOL(hAPP_int_bool(zcong(X23,hAPP_int_int(times_times_int(X5),multInv(X152,X25))),X152)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1090_MultInv__zcong__prop2) ).
fof(fact_1073_MultInvPair__distinct,axiom,
! [X25,X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(quadRes(X152),X5))
=> ~ hBOOL(hAPP_int_bool(zcong(X25,hAPP_int_int(times_times_int(X5),multInv(X152,X25))),X152)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1073_MultInvPair__distinct) ).
fof(fact_1094_MultInv__prop2a,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(multInv(X152,X21)),X21),one_one_int),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1094_MultInv__prop2a) ).
fof(fact_1084_MultInv__prop5,axiom,
! [X22,X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X22,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(multInv(X152,X21),multInv(X152,X22)),X152))
=> hBOOL(hAPP_int_bool(zcong(X21,X22),X152)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1084_MultInv__prop5) ).
fof(fact_1095_MultInv__prop2,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X21),multInv(X152,X21)),one_one_int),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1095_MultInv__prop2) ).
fof(fact_1085_MultInv__prop4,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(multInv(X152,multInv(X152,X21)),X21),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1085_MultInv__prop4) ).
fof(fact_1086_MultInv__prop3,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ~ hBOOL(hAPP_int_bool(zcong(multInv(X152,X21),zero_zero_int),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1086_MultInv__prop3) ).
fof(fact_607_zcong__neg__1__impl__ne__1,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X21,number_number_of_int(min)),X152))
=> ~ hBOOL(hAPP_int_bool(zcong(X21,one_one_int),X152)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_607_zcong__neg__1__impl__ne__1) ).
fof(fact_608_one__not__neg__one__mod__m,axiom,
! [X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X177))
=> ~ hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_608_one__not__neg__one__mod__m) ).
fof(fact_1133_SR__def,axiom,
! [X262] : sr(X262) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),cOMBC_int_int_bool(ord_less_int,X262))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1133_SR__def) ).
fof(fact_119_Collect__def,axiom,
! [X73] : collect_int(X73) = X73,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_Collect__def) ).
fof(fact_1190_StandardRes__prop3,axiom,
! [X7,X262] :
( ~ hBOOL(hAPP_int_bool(zcong(X7,zero_zero_int),X262))
<=> standardRes(X262,X7) != zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1190_StandardRes__prop3) ).
fof(fact_651_zdiff__power3,axiom,
! [X5,X6] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X5),X6)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit0(bit1(pls)))))),X6))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),X5)),hAPP_nat_int(power_power_int(X6),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(X6),number_number_of_nat(bit1(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_651_zdiff__power3) ).
fof(fact_206_Bit0__def,axiom,
! [X23] : bit0(X23) = hAPP_int_int(plus_plus_int(X23),X23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_Bit0__def) ).
fof(fact_253_Bit1__def,axiom,
! [X23] : bit1(X23) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X23)),X23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_Bit1__def) ).
fof(fact_8_zadd__power3,axiom,
! [X5,X6] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X5),X6)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit0(bit1(pls)))))),X6))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),X5)),hAPP_nat_int(power_power_int(X6),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(X6),number_number_of_nat(bit1(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_zadd__power3) ).
fof(fact_308__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)
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& hBOOL(hAPP_int_bool(zcong(s1,X3),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& ! [X4] :
( is_int(X4)
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& hBOOL(hAPP_int_bool(zcong(s1,X4),hAPP_int_int(plus_plus_int(hAPP_int_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_308__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_665_Legendre__1mod4,axiom,
! [X177] :
( hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),X177)),one_one_int)))
=> legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),X177)),one_one_int)) = one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_665_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)
=> hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_309__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,
~ ! [X160] :
( is_int(X160)
=> ~ ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X160))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X160),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& hBOOL(hAPP_int_bool(zcong(s1,X160),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309__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_650_zdiff__power2,axiom,
! [X5,X6] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X5),X6)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5)),X6))),hAPP_nat_int(power_power_int(X6),number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_650_zdiff__power2) ).
fof(fact_7_zadd__power2,axiom,
! [X5,X6] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X5),X6)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5)),X6))),hAPP_nat_int(power_power_int(X6),number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_zadd__power2) ).
fof(fact_478_sum__power2__le__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_478_sum__power2__le__zero__iff) ).
fof(fact_477_sum__power2__le__zero__iff,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_477_sum__power2__le__zero__iff) ).
fof(fact_1097_wset__inv__mem__mem,axiom,
! [X102,X101,X262] :
( hBOOL(hAPP_int_bool(zprime,X262))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X262))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),hAPP_int_int(minus_minus_int(X262),one_one_int)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X102))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X102),hAPP_int_int(minus_minus_int(X262),one_one_int)))
=> ( hBOOL(member_int(inv(X262,X102),wset(X101,X262)))
=> hBOOL(member_int(X102,wset(X101,X262))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1097_wset__inv__mem__mem) ).
fof(fact_1096_wset__mem__inv__mem,axiom,
! [X102,X101,X262] :
( hBOOL(hAPP_int_bool(zprime,X262))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X262))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),hAPP_int_int(minus_minus_int(X262),one_one_int)))
=> ( hBOOL(member_int(X102,wset(X101,X262)))
=> hBOOL(member_int(inv(X262,X102),wset(X101,X262))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1096_wset__mem__inv__mem) ).
fof(fact_1072_inv__inv,axiom,
! [X5,X152] :
( is_int(X5)
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X152))
=> inv(X152,inv(X152,X5)) = X5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1072_inv__inv) ).
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,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
=> ? [X3,X4] :
( is_int(X3)
& is_int(X4)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_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)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_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_507_even__power__le__0__imp__0,axiom,
! [X260,X261] :
( is_int(X260)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X260),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X261))),zero_zero_int))
=> X260 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_507_even__power__le__0__imp__0) ).
fof(fact_506_even__power__le__0__imp__0,axiom,
! [X260,X261] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X260),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X261))),zero_zero_real))
=> X260 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_506_even__power__le__0__imp__0) ).
fof(fact_290_prime__g__5,axiom,
! [X152] :
( is_int(X152)
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( X152 != number_number_of_int(bit0(bit1(pls)))
=> ( X152 != number_number_of_int(bit1(bit1(pls)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X152)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_prime__g__5) ).
fof(fact_648_power2__diff,axiom,
! [X294,X295] : hAPP_nat_real(power_power_real(hAPP_real_real(minus_minus_real(X294),X295)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X294),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X295),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X294)),X295)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_648_power2__diff) ).
fof(fact_292_real__sum__squared__expand,axiom,
! [X21,X22] : hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X21),X22)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X21),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X22),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X21)),X22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_real__sum__squared__expand) ).
fof(fact_11_power2__sum,axiom,
! [X7,X8] : hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X7),X8)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X8),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X7)),X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_power2__sum) ).
fof(fact_10_power2__sum,axiom,
! [X7,X8] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(plus_plus_nat(X7),X8)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(power_power_nat(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X8),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_nat(times_times_nat(hAPP_nat_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_649_power2__diff,axiom,
! [X294,X295] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X294),X295)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X294),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X295),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X294)),X295)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_649_power2__diff) ).
fof(fact_9_power2__sum,axiom,
! [X7,X8] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X7),X8)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X8),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X7)),X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_power2__sum) ).
fof(fact_482_sum__power2__gt__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_482_sum__power2__gt__zero__iff) ).
fof(fact_481_sum__power2__gt__zero__iff,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_481_sum__power2__gt__zero__iff) ).
fof(fact_1134_neg__zmod__mult__2,axiom,
! [X6,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5),zero_zero_int))
=> hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X6))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(X6),one_one_int)),X5))),one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1134_neg__zmod__mult__2) ).
fof(fact_475_sum__power2__ge__zero,axiom,
! [X243,X244] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X243),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X244),number_number_of_nat(bit0(bit1(pls))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_475_sum__power2__ge__zero) ).
fof(fact_476_sum__power2__ge__zero,axiom,
! [X243,X244] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X243),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X244),number_number_of_nat(bit0(bit1(pls))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_476_sum__power2__ge__zero) ).
fof(fact_1174_pos__zmod__mult__2,axiom,
! [X6,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5))
=> hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X6))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(X6),X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1174_pos__zmod__mult__2) ).
fof(fact_293_four__x__squared,axiom,
! [X21] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X21),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_real(power_power_real(hAPP_real_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_293_four__x__squared) ).
fof(fact_472_power2__less__imp__less,axiom,
! [X241,X242] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X241),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X242),number_number_of_nat(bit0(bit1(pls))))))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X242))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X241),X242)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_472_power2__less__imp__less) ).
fof(fact_445_power2__le__imp__le,axiom,
! [X224,X225] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X224),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X225),number_number_of_nat(bit0(bit1(pls))))))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X225))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X224),X225)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_445_power2__le__imp__le) ).
fof(fact_473_power2__less__imp__less,axiom,
! [X241,X242] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X241),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X242),number_number_of_nat(bit0(bit1(pls))))))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X242))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X241),X242)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_473_power2__less__imp__less) ).
fof(fact_446_power2__le__imp__le,axiom,
! [X224,X225] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X224),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X225),number_number_of_nat(bit0(bit1(pls))))))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X225))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X224),X225)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_446_power2__le__imp__le) ).
fof(fact_474_power2__less__imp__less,axiom,
! [X241,X242] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X241),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X242),number_number_of_nat(bit0(bit1(pls))))))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X242))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X241),X242)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_474_power2__less__imp__less) ).
fof(fact_447_power2__le__imp__le,axiom,
! [X224,X225] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X224),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X225),number_number_of_nat(bit0(bit1(pls))))))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X225))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X224),X225)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_447_power2__le__imp__le) ).
fof(fact_667_divides__cases,axiom,
! [X176,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X176),X177))
=> ( X177 = zero_zero_nat
| X177 = X176
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X176)),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_667_divides__cases) ).
fof(fact_483_zero__le__even__power_H,axiom,
! [X247,X248] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X247),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X248)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_483_zero__le__even__power_H) ).
fof(fact_484_zero__le__even__power_H,axiom,
! [X247,X248] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X247),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X248)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_484_zero__le__even__power_H) ).
fof(fact_668_QuadRes__def,axiom,
! [X198,X7] :
( hBOOL(hAPP_int_bool(quadRes(X198),X7))
<=> ? [X4] :
( is_int(X4)
& hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X4),number_number_of_nat(bit0(bit1(pls)))),X7),X198)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_668_QuadRes__def) ).
fof(fact_274_quartic__square__square,axiom,
! [X21] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X21),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(X21),number_number_of_nat(bit0(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_quartic__square__square) ).
fof(fact_456_sum__power2__eq__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_456_sum__power2__eq__zero__iff) ).
fof(fact_669_realpow__two__sum__zero__iff,axiom,
! [X7,X8] :
( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_669_realpow__two__sum__zero__iff) ).
fof(fact_455_sum__power2__eq__zero__iff,axiom,
! [X7,X8] :
( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_455_sum__power2__eq__zero__iff) ).
fof(fact_871_two__realpow__ge__one,axiom,
! [X176] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),X176))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_871_two__realpow__ge__one) ).
fof(fact_1176_StandardRes__prop4,axiom,
! [X21,X22,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(standardRes(X177,X21)),standardRes(X177,X22)),hAPP_int_int(times_times_int(X21),X22)),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1176_StandardRes__prop4) ).
fof(fact_1184_StandardRes__def,axiom,
! [X177,X21] : standardRes(X177,X21) = hAPP_int_int(div_mod_int(X21),X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1184_StandardRes__def) ).
fof(fact_1083_MultInv__zcong__prop1,axiom,
! [X5,X25,X23,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X25,X23),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),multInv(X152,X25)),hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X152)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1083_MultInv__zcong__prop1) ).
fof(fact_606_neg__one__power__eq__mod__m,axiom,
! [X25,X23,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X177))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),X25),hAPP_nat_int(power_power_int(number_number_of_int(min)),X23)),X177))
=> hAPP_nat_int(power_power_int(number_number_of_int(min)),X25) = hAPP_nat_int(power_power_int(number_number_of_int(min)),X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_606_neg__one__power__eq__mod__m) ).
fof(fact_1081_MultInv__prop1,axiom,
! [X21,X22,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X21,X22),X152))
=> hBOOL(hAPP_int_bool(zcong(multInv(X152,X21),multInv(X152,X22)),X152)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1081_MultInv__prop1) ).
fof(fact_454_zero__less__power2,axiom,
! [X101] :
( is_int(X101)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X101),number_number_of_nat(bit0(bit1(pls))))))
<=> X101 != zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_454_zero__less__power2) ).
fof(fact_453_zero__less__power2,axiom,
! [X101] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X101),number_number_of_nat(bit0(bit1(pls))))))
<=> X101 != zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_453_zero__less__power2) ).
fof(fact_697_diff__square,axiom,
! [X21,X22] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(power_power_nat(X21),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X22),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X21),X22)),hAPP_nat_nat(minus_minus_nat(X21),X22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_697_diff__square) ).
fof(fact_642_zspecial__product,axiom,
! [X5,X6] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X5),X6)),hAPP_int_int(minus_minus_int(X5),X6)) = hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X6),number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_642_zspecial__product) ).
fof(fact_160_power__even__eq,axiom,
! [X91,X92] : hAPP_nat_real(power_power_real(X91),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X92)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X91),X92)),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_power__even__eq) ).
fof(fact_161_power__even__eq,axiom,
! [X91,X92] : hAPP_nat_nat(power_power_nat(X91),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X92)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X91),X92)),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_power__even__eq) ).
fof(fact_159_power__even__eq,axiom,
! [X91,X92] : hAPP_nat_int(power_power_int(X91),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X92)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X91),X92)),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_power__even__eq) ).
fof(fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
! [X12,X13] : hAPP_nat_real(power_power_real(X12),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X13)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X12),X13)),hAPP_nat_real(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] : hAPP_nat_nat(power_power_nat(X12),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X13)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X12),X13)),hAPP_nat_nat(power_power_nat(X12),X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) ).
fof(fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
! [X12,X13] : hAPP_nat_int(power_power_int(X12),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X13)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X12),X13)),hAPP_nat_int(power_power_int(X12),X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) ).
fof(fact_219_power2__ge__self,axiom,
! [X21] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X21),hAPP_nat_int(power_power_int(X21),number_number_of_nat(bit0(bit1(pls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_power2__ge__self) ).
fof(fact_443_zero__le__power2,axiom,
! [X223] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X223),number_number_of_nat(bit0(bit1(pls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_443_zero__le__power2) ).
fof(fact_444_zero__le__power2,axiom,
! [X223] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X223),number_number_of_nat(bit0(bit1(pls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_444_zero__le__power2) ).
fof(fact_1110_d22set__eq__wset,axiom,
! [X262] :
( hBOOL(hAPP_int_bool(zprime,X262))
=> d22set(hAPP_int_int(minus_minus_int(X262),number_number_of_int(bit0(bit1(pls))))) = wset(hAPP_int_int(minus_minus_int(X262),number_number_of_int(bit0(bit1(pls)))),X262) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1110_d22set__eq__wset) ).
fof(fact_580_power__m1__even,axiom,
! [X277] : hAPP_nat_real(power_power_real(number267125858f_real(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X277)) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_580_power__m1__even) ).
fof(fact_581_power__m1__even,axiom,
! [X277] : hAPP_nat_int(power_power_int(number_number_of_int(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X277)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_581_power__m1__even) ).
fof(fact_15_cube__square,axiom,
! [X5] : hAPP_int_int(times_times_int(X5),hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_int(power_power_int(X5),number_number_of_nat(bit1(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_cube__square) ).
fof(fact_450_power2__eq__imp__eq,axiom,
! [X226,X227] :
( ( is_int(X226)
& is_int(X227) )
=> ( hAPP_nat_int(power_power_int(X226),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(X227),number_number_of_nat(bit0(bit1(pls))))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X226))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X227))
=> X226 = X227 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_450_power2__eq__imp__eq) ).
fof(fact_448_power2__eq__imp__eq,axiom,
! [X226,X227] :
( hAPP_nat_real(power_power_real(X226),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_real(power_power_real(X227),number_number_of_nat(bit0(bit1(pls))))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X226))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X227))
=> X226 = X227 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_448_power2__eq__imp__eq) ).
fof(fact_449_power2__eq__imp__eq,axiom,
! [X226,X227] :
( hAPP_nat_nat(power_power_nat(X226),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(power_power_nat(X227),number_number_of_nat(bit0(bit1(pls))))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X226))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X227))
=> X226 = X227 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_449_power2__eq__imp__eq) ).
fof(fact_505_int__pos__lt__two__imp__zero__or__one,axiom,
! [X21] :
( is_int(X21)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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_505_int__pos__lt__two__imp__zero__or__one) ).
fof(fact_1172_neq__one__mod__two,axiom,
! [X7] :
( hAPP_int_int(div_mod_int(X7),number_number_of_int(bit0(bit1(pls)))) != zero_zero_int
<=> hAPP_int_int(div_mod_int(X7),number_number_of_int(bit0(bit1(pls)))) = one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1172_neq__one__mod__two) ).
fof(fact_1165_zmod__number__of__Bit0,axiom,
! [X41,X17] : hAPP_int_int(div_mod_int(number_number_of_int(bit0(X41))),number_number_of_int(bit0(X17))) = hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X41)),number_number_of_int(X17))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1165_zmod__number__of__Bit0) ).
fof(fact_279_mult__2,axiom,
! [X149] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X149) = hAPP_real_real(plus_plus_real(X149),X149),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_279_mult__2) ).
fof(fact_277_semiring__mult__2,axiom,
! [X148] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X148) = hAPP_real_real(plus_plus_real(X148),X148),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_semiring__mult__2) ).
fof(fact_276_semiring__mult__2,axiom,
! [X148] : hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X148) = hAPP_nat_nat(plus_plus_nat(X148),X148),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_semiring__mult__2) ).
fof(fact_60_nat__mult__2,axiom,
! [X18] : hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X18) = hAPP_nat_nat(plus_plus_nat(X18),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_nat__mult__2) ).
fof(fact_278_mult__2,axiom,
! [X149] : hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X149) = hAPP_int_int(plus_plus_int(X149),X149),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_278_mult__2) ).
fof(fact_275_semiring__mult__2,axiom,
! [X148] : hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X148) = hAPP_int_int(plus_plus_int(X148),X148),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_semiring__mult__2) ).
fof(fact_272_power3__eq__cube,axiom,
! [X147] : hAPP_nat_real(power_power_real(X147),number_number_of_nat(bit1(bit1(pls)))) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X147),X147)),X147),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_power3__eq__cube) ).
fof(fact_273_power3__eq__cube,axiom,
! [X147] : hAPP_nat_nat(power_power_nat(X147),number_number_of_nat(bit1(bit1(pls)))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X147),X147)),X147),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_power3__eq__cube) ).
fof(fact_271_power3__eq__cube,axiom,
! [X147] : hAPP_nat_int(power_power_int(X147),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X147),X147)),X147),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_power3__eq__cube) ).
fof(fact_442_zero__eq__power2,axiom,
! [X101] :
( is_int(X101)
=> ( hAPP_nat_int(power_power_int(X101),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
<=> X101 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_442_zero__eq__power2) ).
fof(fact_441_zero__eq__power2,axiom,
! [X101] :
( hAPP_nat_real(power_power_real(X101),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real
<=> X101 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_441_zero__eq__power2) ).
fof(fact_13_power2__eq__square__number__of,axiom,
! [X9] : hAPP_nat_real(power_power_real(number267125858f_real(X9)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(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] : hAPP_nat_nat(power_power_nat(number_number_of_nat(X9)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(number_number_of_nat(X9)),number_number_of_nat(X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_power2__eq__square__number__of) ).
fof(fact_12_power2__eq__square__number__of,axiom,
! [X9] : hAPP_nat_int(power_power_int(number_number_of_int(X9)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(number_number_of_int(X9)),number_number_of_int(X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_power2__eq__square__number__of) ).
fof(fact_23_power2__eq__square,axiom,
! [X11] : hAPP_nat_real(power_power_real(X11),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(times_times_real(X11),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_power2__eq__square) ).
fof(fact_284_mult__2__right,axiom,
! [X151] : hAPP_real_real(times_times_real(X151),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(X151),X151),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_mult__2__right) ).
fof(fact_282_semiring__mult__2__right,axiom,
! [X150] : hAPP_real_real(times_times_real(X150),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(X150),X150),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_282_semiring__mult__2__right) ).
fof(fact_281_semiring__mult__2__right,axiom,
! [X150] : hAPP_nat_nat(times_times_nat(X150),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(X150),X150),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_281_semiring__mult__2__right) ).
fof(fact_61_nat__mult__2__right,axiom,
! [X18] : hAPP_nat_nat(times_times_nat(X18),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(X18),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_nat__mult__2__right) ).
fof(fact_24_power2__eq__square,axiom,
! [X11] : hAPP_nat_nat(power_power_nat(X11),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(X11),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_power2__eq__square) ).
fof(fact_22_power2__eq__square,axiom,
! [X11] : hAPP_nat_int(power_power_int(X11),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(X11),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_power2__eq__square) ).
fof(fact_283_mult__2__right,axiom,
! [X151] : hAPP_int_int(times_times_int(X151),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X151),X151),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_mult__2__right) ).
fof(fact_280_semiring__mult__2__right,axiom,
! [X150] : hAPP_int_int(times_times_int(X150),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X150),X150),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_semiring__mult__2__right) ).
fof(fact_20_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X10] : hAPP_real_real(times_times_real(X10),X10) = hAPP_nat_real(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] : hAPP_nat_nat(times_times_nat(X10),X10) = hAPP_nat_nat(power_power_nat(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_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X10] : hAPP_int_int(times_times_int(X10),X10) = hAPP_nat_int(power_power_int(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_417_not__sum__squares__lt__zero,axiom,
! [X219,X220] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X219),X219)),hAPP_real_real(times_times_real(X220),X220))),zero_zero_real)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_417_not__sum__squares__lt__zero) ).
fof(fact_416_not__sum__squares__lt__zero,axiom,
! [X219,X220] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X219),X219)),hAPP_int_int(times_times_int(X220),X220))),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_416_not__sum__squares__lt__zero) ).
fof(fact_64_rel__simps_I17_J,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X38)),bit1(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X36)),bit1(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X38)),bit1(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X36)),bit1(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X36),X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_less__eq__int__code_I16_J) ).
fof(fact_150_rel__simps_I16_J,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X38)),bit0(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),X39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_rel__simps_I16_J) ).
fof(fact_149_less__int__code_I15_J,axiom,
! [X36,X37] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X36)),bit0(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X36),X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_less__int__code_I15_J) ).
fof(fact_83_rel__simps_I33_J,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X38)),bit0(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X36)),bit0(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X36),X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_less__eq__int__code_I15_J) ).
fof(fact_148_rel__simps_I12_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X38)),pls))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_rel__simps_I12_J) ).
fof(fact_80_rel__simps_I29_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X38)),pls))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_rel__simps_I29_J) ).
fof(fact_528_rel__simps_I13_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X38)),min))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),min)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_528_rel__simps_I13_J) ).
fof(fact_398_bin__less__0__simps_I4_J,axiom,
! [X20] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X20)),zero_zero_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),zero_zero_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_398_bin__less__0__simps_I4_J) ).
fof(fact_534_rel__simps_I30_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X38)),min))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),min)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_534_rel__simps_I30_J) ).
fof(fact_165_less__special_I2_J,axiom,
! [X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_less__special_I2_J) ).
fof(fact_169_le__special_I2_J,axiom,
! [X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_le__special_I2_J) ).
fof(fact_164_less__special_I2_J,axiom,
! [X8] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_less__special_I2_J) ).
fof(fact_168_le__special_I2_J,axiom,
! [X8] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_le__special_I2_J) ).
fof(fact_85_rel__simps_I15_J,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X38)),bit1(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X36)),bit1(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X36),X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_less__int__code_I14_J) ).
fof(fact_155_rel__simps_I32_J,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X38)),bit1(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),X39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_rel__simps_I32_J) ).
fof(fact_154_less__eq__int__code_I14_J,axiom,
! [X36,X37] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X36)),bit1(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X36),X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_less__eq__int__code_I14_J) ).
fof(fact_268_mult__Bit1,axiom,
! [X23,X111] : hAPP_int_int(times_times_int(bit1(X23)),X111) = hAPP_int_int(plus_plus_int(bit0(hAPP_int_int(times_times_int(X23),X111))),X111),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_mult__Bit1) ).
fof(fact_1059_number__of1,axiom,
! [X176] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X176)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(X176))))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(X176)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1059_number__of1) ).
fof(fact_409_zprime__power__zdvd__cancel__left,axiom,
! [X176,X6,X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),hAPP_int_int(times_times_int(X5),X6)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),X6)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_409_zprime__power__zdvd__cancel__left) ).
fof(fact_410_zprime__power__zdvd__cancel__right,axiom,
! [X176,X5,X6,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),hAPP_int_int(times_times_int(X5),X6)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_410_zprime__power__zdvd__cancel__right) ).
fof(fact_529_rel__simps_I9_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_529_rel__simps_I9_J) ).
fof(fact_81_rel__simps_I5_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_rel__simps_I5_J) ).
fof(fact_153_rel__simps_I22_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_rel__simps_I22_J) ).
fof(fact_535_rel__simps_I26_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit1(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_535_rel__simps_I26_J) ).
fof(fact_1193_StandardRes__SR__prop,axiom,
! [X7,X262] :
( is_int(X7)
=> ( hBOOL(member_int(X7,sr(X262)))
=> standardRes(X262,X7) = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1193_StandardRes__SR__prop) ).
fof(fact_163_less__special_I4_J,axiom,
! [X7] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X7)),one_one_real))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X7),bit1(pls))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_less__special_I4_J) ).
fof(fact_167_le__special_I4_J,axiom,
! [X7] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X7)),one_one_real))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X7),bit1(pls))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_le__special_I4_J) ).
fof(fact_162_less__special_I4_J,axiom,
! [X7] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X7)),one_one_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X7),bit1(pls))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_less__special_I4_J) ).
fof(fact_166_le__special_I4_J,axiom,
! [X7] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X7)),one_one_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X7),bit1(pls))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_le__special_I4_J) ).
fof(fact_29_add__special_I2_J,axiom,
! [X14] : hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X14)) = number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_add__special_I2_J) ).
fof(fact_28_add__special_I2_J,axiom,
! [X14] : hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X14)) = number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_add__special_I2_J) ).
fof(fact_624_diff__bin__simps_I9_J,axiom,
! [X23,X111] : hAPP_int_int(minus_minus_int(bit1(X23)),bit0(X111)) = bit1(hAPP_int_int(minus_minus_int(X23),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_624_diff__bin__simps_I9_J) ).
fof(fact_251_add__Bit1__Bit0,axiom,
! [X23,X111] : hAPP_int_int(plus_plus_int(bit1(X23)),bit0(X111)) = bit1(hAPP_int_int(plus_plus_int(X23),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_add__Bit1__Bit0) ).
fof(fact_663_zcong__zprime__prod__zero__contra,axiom,
! [X6,X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
& ~ hBOOL(hAPP_int_bool(zcong(X6,zero_zero_int),X152)) )
=> ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X6),zero_zero_int),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_663_zcong__zprime__prod__zero__contra) ).
fof(fact_1171_divmod__int__rel__mod__eq,axiom,
! [X447,X448,X449,X22] :
( ( is_int(X448)
& is_int(X22) )
=> ( X447 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X448),X449)),X22)
=> ( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X448))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X22))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X22),X448)) ) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X448))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X448),X22))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X22),zero_zero_int)) ) ) )
=> ( X448 != zero_zero_int
=> hAPP_int_int(div_mod_int(X447),X448) = X22 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1171_divmod__int__rel__mod__eq) ).
fof(fact_625_diff__bin__simps_I10_J,axiom,
! [X23,X111] : hAPP_int_int(minus_minus_int(bit1(X23)),bit1(X111)) = bit0(hAPP_int_int(minus_minus_int(X23),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_625_diff__bin__simps_I10_J) ).
fof(fact_256_mult__numeral__1,axiom,
! [X144] :
( is_int(X144)
=> hAPP_int_int(times_times_int(number_number_of_int(bit1(pls))),X144) = X144 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_mult__numeral__1) ).
fof(fact_257_mult__numeral__1,axiom,
! [X144] : hAPP_real_real(times_times_real(number267125858f_real(bit1(pls))),X144) = X144,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_mult__numeral__1) ).
fof(fact_588_zcong__not,axiom,
! [X6,X177,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X5))
=> ~ hBOOL(hAPP_int_bool(zcong(X5,X6),X177)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_588_zcong__not) ).
fof(fact_1032_nat__diff__split__asm,axiom,
! [X73,X101,X102] :
( hBOOL(hAPP_nat_bool(X73,hAPP_nat_nat(minus_minus_nat(X101),X102)))
<=> ~ ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X101),X102))
& ~ hBOOL(hAPP_nat_bool(X73,zero_zero_nat)) )
| ? [X434] :
( X101 = hAPP_nat_nat(plus_plus_nat(X102),X434)
& ~ hBOOL(hAPP_nat_bool(X73,X434)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1032_nat__diff__split__asm) ).
fof(fact_69_rel__simps_I14_J,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X38)),bit0(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X36)),bit0(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X38)),bit0(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X36)),bit0(X37)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X36),X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_less__eq__int__code_I13_J) ).
fof(fact_661_zcong__zmult__prop3,axiom,
! [X22,X21,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X22,zero_zero_int),X152))
=> ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X21),X22),zero_zero_int),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_661_zcong__zmult__prop3) ).
fof(fact_252_add__Bit0__Bit1,axiom,
! [X23,X111] : hAPP_int_int(plus_plus_int(bit0(X23)),bit1(X111)) = bit1(hAPP_int_int(plus_plus_int(X23),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_add__Bit0__Bit1) ).
fof(fact_898_dvd_Oless__trans,axiom,
! [X18,X21,X22] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X21)) )
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X22)) )
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X21)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_898_dvd_Oless__trans) ).
fof(fact_870_divides__div__not,axiom,
! [X21,X265,X176,X264] :
( X21 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X265),X176)),X264)
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X264))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X264),X176))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X176),X21)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_870_divides__div__not) ).
fof(fact_1102_wset__mem__imp__or,axiom,
! [X102,X262,X101] :
( ( is_int(X102)
& is_int(X101) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X101))
=> ( ~ hBOOL(member_int(X102,wset(hAPP_int_int(minus_minus_int(X101),one_one_int),X262)))
=> ( hBOOL(member_int(X102,wset(X101,X262)))
=> ( X102 = X101
| X102 = inv(X262,X101) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1102_wset__mem__imp__or) ).
fof(fact_909_dvd_Ole__less__trans,axiom,
! [X18,X21,X22] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X22)) )
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X21)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_909_dvd_Ole__less__trans) ).
fof(fact_900_dvd_Oless__le__trans,axiom,
! [X18,X21,X22] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X21)) )
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X18))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X21)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_900_dvd_Oless__le__trans) ).
fof(fact_1005_add__leE,axiom,
! [X177,X23,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X177),X23)),X176))
=> ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1005_add__leE) ).
fof(fact_151_rel__simps_I10_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X38)),pls))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_rel__simps_I10_J) ).
fof(fact_400_bin__less__0__simps_I3_J,axiom,
! [X20] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X20)),zero_zero_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),zero_zero_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_400_bin__less__0__simps_I3_J) ).
fof(fact_156_rel__simps_I27_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X38)),pls))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_rel__simps_I27_J) ).
fof(fact_550_rel__simps_I11_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X38)),min))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),min)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_550_rel__simps_I11_J) ).
fof(fact_538_rel__simps_I28_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X38)),min))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),min)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_538_rel__simps_I28_J) ).
fof(fact_634_diff__bin__simps_I4_J,axiom,
! [X111] : hAPP_int_int(minus_minus_int(pls),bit1(X111)) = bit1(hAPP_int_int(minus_minus_int(min),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_634_diff__bin__simps_I4_J) ).
fof(fact_1043_ex__least__nat__less,axiom,
! [X161,X73] :
( ~ hBOOL(hAPP_nat_bool(X73,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X73,X161))
=> ? [X278] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X278),X161))
& ! [X435] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X435),X278))
=> ~ hBOOL(hAPP_nat_bool(X73,X435)) )
& hBOOL(hAPP_nat_bool(X73,hAPP_nat_nat(plus_plus_nat(X278),one_one_nat))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1043_ex__least__nat__less) ).
fof(fact_31_add__special_I3_J,axiom,
! [X15] : hAPP_real_real(plus_plus_real(number267125858f_real(X15)),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(X15),bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_add__special_I3_J) ).
fof(fact_30_add__special_I3_J,axiom,
! [X15] : hAPP_int_int(plus_plus_int(number_number_of_int(X15)),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(X15),bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_add__special_I3_J) ).
fof(fact_974_not__add__less1,axiom,
! [X24,X25] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X24),X25)),X24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_974_not__add__less1) ).
fof(fact_975_not__add__less2,axiom,
! [X25,X24] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X25),X24)),X24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_975_not__add__less2) ).
fof(fact_50_le__number__of__eq__not__less,axiom,
! [X30,X20] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X30)),number267125858f_real(X20)))
<=> ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X20)),number267125858f_real(X30))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_le__number__of__eq__not__less) ).
fof(fact_49_le__number__of__eq__not__less,axiom,
! [X30,X20] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X30)),number_number_of_nat(X20)))
<=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X30)),number_number_of_int(X20)))
<=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X20)),number_number_of_int(X30))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_le__number__of__eq__not__less) ).
fof(fact_855_not__square__less__zero,axiom,
! [X425] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X425),X425)),zero_zero_real)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_855_not__square__less__zero) ).
fof(fact_856_not__square__less__zero,axiom,
! [X425] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X425),X425)),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_856_not__square__less__zero) ).
fof(fact_566_nat__number__of__mult__left,axiom,
! [X40,X23,X41] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X40)),X23)) = zero_zero_nat )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X40)),X23)) = hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(times_times_int(X41),X40))),X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_566_nat__number__of__mult__left) ).
fof(fact_1029_nat__dvd__not__less,axiom,
! [X176,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X177))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X176),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1029_nat__dvd__not__less) ).
fof(fact_326_zdvd__not__zless,axiom,
! [X176,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X177),X176))
=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X176),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_zdvd__not__zless) ).
fof(fact_653_zcong__not__zero,axiom,
! [X177,X21] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X21),X177))
=> ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_653_zcong__not__zero) ).
fof(fact_1192_StandardRes__ubound,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,standardRes(X152,X21)),X152)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1192_StandardRes__ubound) ).
fof(fact_258_mult__numeral__1__right,axiom,
! [X145] :
( is_int(X145)
=> hAPP_int_int(times_times_int(X145),number_number_of_int(bit1(pls))) = X145 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_mult__numeral__1__right) ).
fof(fact_259_mult__numeral__1__right,axiom,
! [X145] : hAPP_real_real(times_times_real(X145),number267125858f_real(bit1(pls))) = X145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_mult__numeral__1__right) ).
fof(fact_420_le__nat__number__of,axiom,
! [X30,X218] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X30)),number_number_of_nat(X218)))
<=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X30),X218))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X30),pls)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_420_le__nat__number__of) ).
fof(fact_1111_ex__least__nat__le,axiom,
! [X161,X73] :
( ~ hBOOL(hAPP_nat_bool(X73,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X73,X161))
=> ? [X278] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X278),X161))
& ! [X435] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X435),X278))
=> ~ hBOOL(hAPP_nat_bool(X73,X435)) )
& hBOOL(hAPP_nat_bool(X73,X278)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1111_ex__least__nat__le) ).
fof(fact_152_rel__simps_I4_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_rel__simps_I4_J) ).
fof(fact_532_rel__simps_I8_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_532_rel__simps_I8_J) ).
fof(fact_549_rel__simps_I25_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit0(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_549_rel__simps_I25_J) ).
fof(fact_157_rel__simps_I21_J,axiom,
! [X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(X38)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_rel__simps_I21_J) ).
fof(fact_636_diff__bin__simps_I6_J,axiom,
! [X111] : hAPP_int_int(minus_minus_int(min),bit1(X111)) = bit0(hAPP_int_int(minus_minus_int(min),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_636_diff__bin__simps_I6_J) ).
fof(fact_635_diff__bin__simps_I5_J,axiom,
! [X111] : hAPP_int_int(minus_minus_int(min),bit0(X111)) = bit1(hAPP_int_int(minus_minus_int(min),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_635_diff__bin__simps_I5_J) ).
fof(fact_255_number__of__Bit1,axiom,
! [X143] : number267125858f_real(bit1(X143)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X143))),number267125858f_real(X143)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_number__of__Bit1) ).
fof(fact_254_number__of__Bit1,axiom,
! [X143] : number_number_of_int(bit1(X143)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X143))),number_number_of_int(X143)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_number__of__Bit1) ).
fof(fact_140_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_140_rel__simps_I51_J) ).
fof(fact_1197_StandardRes__prop2,axiom,
! [X452,X453,X198] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X198))
=> ( standardRes(X198,X452) = standardRes(X198,X453)
<=> hBOOL(hAPP_int_bool(zcong(X452,X453),X198)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1197_StandardRes__prop2) ).
fof(fact_615_diff__bin__simps_I7_J,axiom,
! [X23,X111] : hAPP_int_int(minus_minus_int(bit0(X23)),bit0(X111)) = bit0(hAPP_int_int(minus_minus_int(X23),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_615_diff__bin__simps_I7_J) ).
fof(fact_205_add__Bit0__Bit0,axiom,
! [X23,X111] : hAPP_int_int(plus_plus_int(bit0(X23)),bit0(X111)) = bit0(hAPP_int_int(plus_plus_int(X23),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_add__Bit0__Bit0) ).
fof(fact_1196_StandardRes__lbound,axiom,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),standardRes(X152,X21))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1196_StandardRes__lbound) ).
fof(fact_923_dvd_Ole__less,axiom,
! [X7,X8] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X8),X7)) )
| X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_923_dvd_Ole__less) ).
fof(fact_922_dvd_Oless__le,axiom,
! [X7,X8] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X8),X7)) )
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& X7 != X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_922_dvd_Oless__le) ).
fof(fact_920_dvd_Oneq__le__trans,axiom,
! [X5,X6] :
( X5 != X6
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X6),X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_920_dvd_Oneq__le__trans) ).
fof(fact_917_dvd_Ole__imp__less__or__eq,axiom,
! [X21,X22] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X21)) )
| X21 = X22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_917_dvd_Ole__imp__less__or__eq) ).
fof(fact_916_dvd_Ole__neq__trans,axiom,
! [X5,X6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
=> ( X5 != X6
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X6),X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_916_dvd_Ole__neq__trans) ).
fof(fact_1166_split__zmod,axiom,
! [X73,X161,X38] :
( ( is_int(X161)
& is_int(X38) )
=> ( hBOOL(hAPP_int_bool(X73,hAPP_int_int(div_mod_int(X161),X38)))
<=> ( ( X38 = zero_zero_int
=> hBOOL(hAPP_int_bool(X73,X161)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X38))
=> ! [X435,X446] :
( ( is_int(X435)
& is_int(X446) )
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X446))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X446),X38))
& X161 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X38),X435)),X446) )
=> hBOOL(hAPP_int_bool(X73,X446)) ) ) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),zero_zero_int))
=> ! [X435,X446] :
( ( is_int(X435)
& is_int(X446) )
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),X446))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X446),zero_zero_int))
& X161 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X38),X435)),X446) )
=> hBOOL(hAPP_int_bool(X73,X446)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1166_split__zmod) ).
fof(fact_1191_StandardRes__prop1,axiom,
! [X21,X177] : hBOOL(hAPP_int_bool(zcong(X21,standardRes(X177,X21)),X177)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1191_StandardRes__prop1) ).
fof(fact_527_not__real__square__gt__zero,axiom,
! [X7] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X7),X7)))
<=> X7 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_527_not__real__square__gt__zero) ).
fof(fact_202_mult__Bit0,axiom,
! [X23,X111] : hAPP_int_int(times_times_int(bit0(X23)),X111) = bit0(hAPP_int_int(times_times_int(X23),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_mult__Bit0) ).
fof(fact_77_add__nat__number__of,axiom,
! [X40,X41] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(X40) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X40),pls))
=> hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(X41) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X40),pls))
=> hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X41),X40)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_add__nat__number__of) ).
fof(fact_1181_mod__if,axiom,
! [X177,X176] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = X177 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X177),X176)),X176) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1181_mod__if) ).
fof(fact_1180_mod__geq,axiom,
! [X177,X176] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X177),X176)),X176) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1180_mod__geq) ).
fof(fact_1113_d22set__le__swap,axiom,
! [X101,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),X102))
=> ~ hBOOL(member_int(X102,d22set(X101))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1113_d22set__le__swap) ).
fof(fact_1123_gcd__lcm__complete__lattice__nat_Onot__less__bot,axiom,
! [X5] :
~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),one_one_nat))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1123_gcd__lcm__complete__lattice__nat_Onot__less__bot) ).
fof(fact_1122_gcd__lcm__complete__lattice__nat_Onot__top__less,axiom,
! [X5] :
~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),zero_zero_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1122_gcd__lcm__complete__lattice__nat_Onot__top__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_1071_zfact_Osimps,axiom,
! [X176] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X176),zero_zero_int))
=> zfact(X176) = one_one_int )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X176),zero_zero_int))
=> zfact(X176) = hAPP_int_int(times_times_int(X176),zfact(hAPP_int_int(minus_minus_int(X176),one_one_int))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1071_zfact_Osimps) ).
fof(fact_626_diff__bin__simps_I3_J,axiom,
! [X111] : hAPP_int_int(minus_minus_int(pls),bit0(X111)) = bit0(hAPP_int_int(minus_minus_int(pls),X111)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_626_diff__bin__simps_I3_J) ).
fof(fact_677_linorder__neqE__linordered__idom,axiom,
! [X302,X303] :
( ( is_int(X302)
& is_int(X303) )
=> ( X302 != X303
=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X302),X303))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X303),X302)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_677_linorder__neqE__linordered__idom) ).
fof(fact_196_rel__simps_I50_J,axiom,
! [X23,X111] : bit1(X23) != bit0(X111),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_rel__simps_I50_J) ).
fof(fact_197_rel__simps_I49_J,axiom,
! [X23,X111] : bit0(X23) != bit1(X111),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_rel__simps_I49_J) ).
fof(fact_666_Legendre__def,axiom,
! [X5,X152] :
( ( hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> legendre(X5,X152) = zero_zero_int )
& ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> ( ( hBOOL(hAPP_int_bool(quadRes(X152),X5))
=> legendre(X5,X152) = one_one_int )
& ( ~ hBOOL(hAPP_int_bool(quadRes(X152),X5))
=> legendre(X5,X152) = number_number_of_int(min) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_666_Legendre__def) ).
fof(fact_422_number__of__Bit0,axiom,
! [X221] : number267125858f_real(bit0(X221)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(X221))),number267125858f_real(X221)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_422_number__of__Bit0) ).
fof(fact_421_number__of__Bit0,axiom,
! [X221] : number_number_of_int(bit0(X221)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(X221))),number_number_of_int(X221)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_421_number__of__Bit0) ).
fof(fact_676_linorder__neqE__linordered__idom,axiom,
! [X302,X303] :
( X302 != X303
=> ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X302),X303))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X303),X302)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_676_linorder__neqE__linordered__idom) ).
fof(fact_892_linorder__neqE__nat,axiom,
! [X21,X22] :
( X21 != X22
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X21),X22))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X22),X21)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_892_linorder__neqE__nat) ).
fof(fact_567_mult__nat__number__of,axiom,
! [X40,X41] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = zero_zero_nat )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(hAPP_int_int(times_times_int(X41),X40)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_567_mult__nat__number__of) ).
fof(fact_519_rel__simps_I43_J,axiom,
! [X39] :
( is_int(X39)
=> ( min = bit1(X39)
<=> min = X39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_519_rel__simps_I43_J) ).
fof(fact_518_rel__simps_I47_J,axiom,
! [X38] :
( is_int(X38)
=> ( bit1(X38) = min
<=> X38 = min ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_518_rel__simps_I47_J) ).
fof(fact_1189_StandardRes__eq__zcong,axiom,
! [X198,X7] :
( standardRes(X198,X7) = zero_zero_int
<=> hBOOL(hAPP_int_bool(zcong(X7,zero_zero_int),X198)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1189_StandardRes__eq__zcong) ).
fof(fact_983_add__diff__inverse,axiom,
! [X177,X176] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(plus_plus_nat(X176),hAPP_nat_nat(minus_minus_nat(X177),X176)) = X177 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_983_add__diff__inverse) ).
fof(fact_194_rel__simps_I46_J,axiom,
! [X23] : bit1(X23) != pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_rel__simps_I46_J) ).
fof(fact_195_rel__simps_I39_J,axiom,
! [X111] : pls != bit1(X111),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_rel__simps_I39_J) ).
fof(fact_270_double__number__of__Bit0,axiom,
! [X146] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),number267125858f_real(X146)) = number267125858f_real(bit0(X146)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_double__number__of__Bit0) ).
fof(fact_269_double__number__of__Bit0,axiom,
! [X146] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),number_number_of_int(X146)) = number_number_of_int(bit0(X146)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_double__number__of__Bit0) ).
fof(help_fconj_2_1_U,axiom,
! [X455,X454] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X455),X454))
| hBOOL(X455) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_2_1_U) ).
fof(help_fconj_3_1_U,axiom,
! [X455,X454] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X455),X454))
| hBOOL(X454) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_3_1_U) ).
fof(fact_894_less__not__refl,axiom,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_894_less__not__refl) ).
fof(fact_891_less__irrefl__nat,axiom,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_891_less__irrefl__nat) ).
fof(fact_1125_gcd__lcm__complete__lattice__nat_Obot__less,axiom,
! [X101] :
( X101 != one_one_nat
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X101))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X101),one_one_nat)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1125_gcd__lcm__complete__lattice__nat_Obot__less) ).
fof(fact_957_not__less0,axiom,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_957_not__less0) ).
fof(fact_955_less__nat__zero__code,axiom,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_955_less__nat__zero__code) ).
fof(fact_878_less__zeroE,axiom,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_878_less__zeroE) ).
fof(fact_1120_gcd__lcm__complete__lattice__nat_Oless__top,axiom,
! [X101] :
( X101 != zero_zero_nat
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X101),zero_zero_nat))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X101)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1120_gcd__lcm__complete__lattice__nat_Oless__top) ).
fof(help_fconj_1_1_U,axiom,
! [X454,X455] :
( ~ hBOOL(X455)
| ~ hBOOL(X454)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X455),X454)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_1_1_U) ).
fof(fact_141_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_141_rel__simps_I48_J) ).
fof(gsy_c_Residues_OStandardRes,axiom,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(standardRes(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Residues_OStandardRes) ).
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_199_rel__simps_I38_J,axiom,
! [X39] :
( is_int(X39)
=> ( pls = bit0(X39)
<=> pls = X39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_rel__simps_I38_J) ).
fof(fact_198_rel__simps_I44_J,axiom,
! [X38] :
( is_int(X38)
=> ( bit0(X38) = pls
<=> X38 = pls ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_rel__simps_I44_J) ).
fof(fact_523_rel__simps_I45_J,axiom,
! [X23] : bit0(X23) != min,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_523_rel__simps_I45_J) ).
fof(fact_524_rel__simps_I42_J,axiom,
! [X111] : min != bit0(X111),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_524_rel__simps_I42_J) ).
fof(fact_6_qf1pt,axiom,
hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_605__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),hAPP_int_int(minus_minus_int(hAPP_nat_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_605__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096) ).
fof(fact_289__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096) ).
fof(fact_604__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096,axiom,
hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_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_604__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096) ).
fof(fact_306__096_091s_A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_J_096,axiom,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_306__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_503_s,axiom,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_503_s) ).
fof(fact_310_s1,axiom,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_s1) ).
fof(fact_5_t,axiom,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_307_s0p,axiom,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),s))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& hBOOL(hAPP_int_bool(zcong(s1,s),hAPP_int_int(plus_plus_int(hAPP_int_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_s0p) ).
fof(fact_3_t__l__p,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),hAPP_int_int(plus_plus_int(hAPP_int_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_288_p0,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_p0) ).
fof(fact_291__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096,axiom,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_291__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
fof(fact_4_p,axiom,
hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_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_513__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096,axiom,
legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_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_513__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096) ).
fof(fact_609__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096,axiom,
hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_609__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).
fof(fact_596_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_596_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J) ).
fof(fact_1058_nat__less__add__iff1,axiom,
! [X436,X198,X161,X433,X432] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X433),X432))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X432),X436)),X198)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X433),X436)),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X432),X433)),X436)),X198)),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1058_nat__less__add__iff1) ).
fof(fact_1052_nat__le__add__iff1,axiom,
! [X436,X198,X161,X433,X432] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X433),X432))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X432),X436)),X198)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X433),X436)),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X432),X433)),X436)),X198)),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1052_nat__le__add__iff1) ).
fof(fact_1044_nat__less__add__iff2,axiom,
! [X436,X198,X161,X432,X433] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X432),X433))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X432),X436)),X198)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X433),X436)),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X433),X432)),X436)),X161))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1044_nat__less__add__iff2) ).
fof(fact_1055_nat__le__add__iff2,axiom,
! [X436,X198,X161,X432,X433] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X432),X433))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X432),X436)),X198)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X433),X436)),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X433),X432)),X436)),X161))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1055_nat__le__add__iff2) ).
fof(fact_565_pos2,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_565_pos2) ).
fof(fact_511_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_511_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J) ).
fof(fact_89_zprime__2,axiom,
hBOOL(hAPP_int_bool(zprime,number_number_of_int(bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_zprime__2) ).
fof(fact_1074_aux______3,axiom,
! [X25,X23,X5,X152] :
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X25),X23),X5),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X152,X25)),X25)),X23),hAPP_int_int(times_times_int(multInv(X152,X25)),X5)),X152)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1074_aux______3) ).
fof(fact_1109_mono__nat__linear__lb,axiom,
! [X198,X38,X442] :
( ! [X263,X443] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X263),X443))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X442,X263)),hAPP_nat_nat(X442,X443))) )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X442,X198)),X38)),hAPP_nat_nat(X442,hAPP_nat_nat(plus_plus_nat(X198),X38)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1109_mono__nat__linear__lb) ).
fof(fact_628_xzgcda__linear__aux1,axiom,
! [X5,X264,X6,X177,X273,X276,X176] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X5),hAPP_int_int(times_times_int(X264),X6))),X177)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X273),hAPP_int_int(times_times_int(X264),X276))),X176)) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5),X177)),hAPP_int_int(times_times_int(X273),X176))),hAPP_int_int(times_times_int(X264),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),X177)),hAPP_int_int(times_times_int(X276),X176)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_628_xzgcda__linear__aux1) ).
fof(fact_1075_aux______1,axiom,
! [X25,X5,X152,X23] :
( hBOOL(hAPP_int_bool(zcong(X25,hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X25),X23),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X23)),X152)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1075_aux______1) ).
fof(fact_1168_zmult2__lemma__aux4,axiom,
! [X265,X6,X264,X273] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X273))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X264))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X264),X6))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),hAPP_int_int(div_mod_int(X265),X273))),X264)),hAPP_int_int(times_times_int(X6),X273))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1168_zmult2__lemma__aux4) ).
fof(fact_1170_zmult2__lemma__aux2,axiom,
! [X265,X6,X264,X273] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X273))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X264))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X264),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),hAPP_int_int(div_mod_int(X265),X273))),X264)),zero_zero_int)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1170_zmult2__lemma__aux2) ).
fof(fact_1195_mod__lemma,axiom,
! [X265,X264,X6,X273] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X273))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X264),X6))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X6),hAPP_nat_nat(div_mod_nat(X265),X273))),X264)),hAPP_nat_nat(times_times_nat(X6),X273))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1195_mod__lemma) ).
fof(fact_598_unique__quotient__lemma__neg,axiom,
! [X6,X281,X282,X265,X264] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),X281)),X282)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),X265)),X264)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X264),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X264))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X282))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X265),X281)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_598_unique__quotient__lemma__neg) ).
fof(fact_600_unique__quotient__lemma,axiom,
! [X6,X281,X282,X265,X264] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),X281)),X282)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),X265)),X264)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X282))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X282),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X264),X6))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X281),X265)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_600_unique__quotient__lemma) ).
fof(fact_1053_nat__diff__add__eq1,axiom,
! [X437,X177,X176,X25,X24] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X25),X24))
=> hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X24),X437)),X177)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X25),X437)),X176)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X24),X25)),X437)),X177)),X176) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1053_nat__diff__add__eq1) ).
fof(fact_597_zdiv__mono2__neg__lemma,axiom,
! [X6,X265,X264,X280,X281,X282] :
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),X265)),X264) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X280),X281)),X282)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X280),X281)),X282)),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X264),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X282))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X280))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X280),X6))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X281),X265)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_597_zdiv__mono2__neg__lemma) ).
fof(fact_1065_decr__mult__lemma,axiom,
! [X38,X73,X100] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X100))
=> ( ! [X3] :
( is_int(X3)
=> ( hBOOL(hAPP_int_bool(X73,X3))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(minus_minus_int(X3),X100))) ) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X38))
=> ! [X3] :
( hBOOL(hAPP_int_bool(X73,X3))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(minus_minus_int(X3),hAPP_int_int(times_times_int(X38),X100)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1065_decr__mult__lemma) ).
fof(fact_1066_incr__mult__lemma,axiom,
! [X38,X73,X100] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X100))
=> ( ! [X3] :
( is_int(X3)
=> ( hBOOL(hAPP_int_bool(X73,X3))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(plus_plus_int(X3),X100))) ) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X38))
=> ! [X3] :
( hBOOL(hAPP_int_bool(X73,X3))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(plus_plus_int(X3),hAPP_int_int(times_times_int(X38),X100)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1066_incr__mult__lemma) ).
fof(fact_373_zdvd__period,axiom,
! [X99,X7,X199,X101,X100] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X101),X100))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X101),hAPP_int_int(plus_plus_int(X7),X199)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X101),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X7),hAPP_int_int(times_times_int(X99),X100))),X199))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_373_zdvd__period) ).
fof(fact_438_zero__power2,axiom,
hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_438_zero__power2) ).
fof(fact_18_one__power2,axiom,
hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls)))) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_one__power2) ).
fof(fact_439_zero__power2,axiom,
hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_439_zero__power2) ).
fof(fact_17_one__power2,axiom,
hAPP_nat_nat(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_440_zero__power2,axiom,
hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_440_zero__power2) ).
fof(fact_16_one__power2,axiom,
hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls)))) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_one__power2) ).
fof(fact_1105_int__less__induct,axiom,
! [X73,X432,X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X432),X38))
=> ( hBOOL(hAPP_int_bool(X73,hAPP_int_int(minus_minus_int(X38),one_one_int)))
=> ( ! [X435] :
( is_int(X435)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X435),X38))
=> ( hBOOL(hAPP_int_bool(X73,X435))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(minus_minus_int(X435),one_one_int))) ) ) )
=> hBOOL(hAPP_int_bool(X73,X432)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1105_int__less__induct) ).
fof(fact_1108_int__gr__induct,axiom,
! [X73,X38,X432] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),X432))
=> ( hBOOL(hAPP_int_bool(X73,hAPP_int_int(plus_plus_int(X38),one_one_int)))
=> ( ! [X435] :
( is_int(X435)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),X435))
=> ( hBOOL(hAPP_int_bool(X73,X435))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(plus_plus_int(X435),one_one_int))) ) ) )
=> hBOOL(hAPP_int_bool(X73,X432)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1108_int__gr__induct) ).
fof(fact_413_sum__squares__le__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X7),X7)),hAPP_int_int(times_times_int(X8),X8))),zero_zero_int))
<=> ( X7 = zero_zero_int
& X8 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_413_sum__squares__le__zero__iff) ).
fof(fact_414_sum__squares__le__zero__iff,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X7),X7)),hAPP_real_real(times_times_real(X8),X8))),zero_zero_real))
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_414_sum__squares__le__zero__iff) ).
fof(fact_1104_int__le__induct,axiom,
! [X73,X432,X38] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X432),X38))
=> ( hBOOL(hAPP_int_bool(X73,X38))
=> ( ! [X435] :
( is_int(X435)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X435),X38))
=> ( hBOOL(hAPP_int_bool(X73,X435))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(minus_minus_int(X435),one_one_int))) ) ) )
=> hBOOL(hAPP_int_bool(X73,X432)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1104_int__le__induct) ).
fof(fact_1107_int__ge__induct,axiom,
! [X73,X38,X432] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),X432))
=> ( hBOOL(hAPP_int_bool(X73,X38))
=> ( ! [X435] :
( is_int(X435)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),X435))
=> ( hBOOL(hAPP_int_bool(X73,X435))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(plus_plus_int(X435),one_one_int))) ) ) )
=> hBOOL(hAPP_int_bool(X73,X432)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1107_int__ge__induct) ).
fof(fact_670_convex__bound__lt,axiom,
! [X296,X297,X298,X299,X300] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X299),X300))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X298),X300))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X297))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X296))
=> ( hAPP_real_real(plus_plus_real(X297),X296) = one_one_real
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X297),X299)),hAPP_real_real(times_times_real(X296),X298))),X300)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_670_convex__bound__lt) ).
fof(fact_671_convex__bound__lt,axiom,
! [X296,X297,X298,X299,X300] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X299),X300))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X298),X300))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X297))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X296))
=> ( hAPP_int_int(plus_plus_int(X297),X296) = one_one_int
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X297),X299)),hAPP_int_int(times_times_int(X296),X298))),X300)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_671_convex__bound__lt) ).
fof(fact_601_q__neg__lemma,axiom,
! [X280,X281,X282] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X280),X281)),X282)),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X282))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X280))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X281),zero_zero_int)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_601_q__neg__lemma) ).
fof(fact_1169_zmult2__lemma__aux1,axiom,
! [X265,X6,X264,X273] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X273))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X264))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X264),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X6),X273)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),hAPP_int_int(div_mod_int(X265),X273))),X264))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1169_zmult2__lemma__aux1) ).
fof(fact_599_zdiv__mono2__lemma,axiom,
! [X6,X265,X264,X280,X281,X282] :
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),X265)),X264) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X280),X281)),X282)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X280),X281)),X282)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X282),X280))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X264))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X280))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X280),X6))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X265),X281)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_599_zdiv__mono2__lemma) ).
fof(fact_1056_nat__diff__add__eq2,axiom,
! [X437,X177,X176,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X24),X437)),X177)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X25),X437)),X176)) = hAPP_nat_nat(minus_minus_nat(X177),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X25),X24)),X437)),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1056_nat__diff__add__eq2) ).
fof(fact_1167_zmult2__lemma__aux3,axiom,
! [X265,X6,X264,X273] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X273))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X264))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X264),X6))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X6),hAPP_int_int(div_mod_int(X265),X273))),X264))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1167_zmult2__lemma__aux3) ).
fof(fact_639_mult__sum2sq,axiom,
! [X5,X6,X152,X265] : hAPP_int_int(times_times_int(twoSqu1241645765sum2sq(product_Pair_int_int(X5,X6))),twoSqu1241645765sum2sq(product_Pair_int_int(X152,X265))) = twoSqu1241645765sum2sq(product_Pair_int_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5),X152)),hAPP_int_int(times_times_int(X6),X265)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X5),X265)),hAPP_int_int(times_times_int(X6),X152)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_639_mult__sum2sq) ).
fof(fact_428_odd__less__0,axiom,
! [X19] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X19)),X19)),zero_zero_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X19),zero_zero_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_428_odd__less__0) ).
fof(fact_637_inv__not__p__minus__1__aux,axiom,
! [X101,X262] :
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X101),hAPP_int_int(minus_minus_int(X262),one_one_int)),one_one_int),X262))
<=> hBOOL(hAPP_int_bool(zcong(X101,hAPP_int_int(minus_minus_int(X262),one_one_int)),X262)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_637_inv__not__p__minus__1__aux) ).
fof(fact_602_q__pos__lemma,axiom,
! [X280,X281,X282] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X280),X281)),X282)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X282),X280))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X280))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X281)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_602_q__pos__lemma) ).
fof(fact_418_sum__squares__gt__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X7),X7)),hAPP_int_int(times_times_int(X8),X8))))
<=> ( X7 != zero_zero_int
| X8 != zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_418_sum__squares__gt__zero__iff) ).
fof(fact_287_semiring__one__add__one__is__two,axiom,
hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_semiring__one__add__one__is__two) ).
fof(fact_33_one__add__one__is__two,axiom,
hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_one__add__one__is__two) ).
fof(fact_286_semiring__one__add__one__is__two,axiom,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_semiring__one__add__one__is__two) ).
fof(fact_62_nat__1__add__1,axiom,
hAPP_nat_nat(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_285_semiring__one__add__one__is__two,axiom,
hAPP_int_int(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_32_one__add__one__is__two,axiom,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_one__add__one__is__two) ).
fof(fact_419_sum__squares__gt__zero__iff,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X7),X7)),hAPP_real_real(times_times_real(X8),X8))))
<=> ( X7 != zero_zero_real
| X8 != zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_419_sum__squares__gt__zero__iff) ).
fof(fact_1054_nat__eq__add__iff1,axiom,
! [X436,X198,X161,X433,X432] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X433),X432))
=> ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X432),X436)),X198) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X433),X436)),X161)
<=> hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X432),X433)),X436)),X198) = X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1054_nat__eq__add__iff1) ).
fof(fact_1057_nat__eq__add__iff2,axiom,
! [X436,X198,X161,X432,X433] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X432),X433))
=> ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X432),X436)),X198) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X433),X436)),X161)
<=> X198 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X433),X432)),X436)),X161) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1057_nat__eq__add__iff2) ).
fof(fact_371_zcong__zpower__zmult,axiom,
! [X18,X21,X22,X152] :
( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X21),X22),one_one_int),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X21),hAPP_nat_nat(times_times_nat(X22),X18)),one_one_int),X152)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_371_zcong__zpower__zmult) ).
fof(fact_408_power__Suc__less,axiom,
! [X214,X215] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X215))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X215),one_one_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X215),hAPP_nat_real(power_power_real(X215),X214))),hAPP_nat_real(power_power_real(X215),X214))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_408_power__Suc__less) ).
fof(fact_407_power__Suc__less,axiom,
! [X214,X215] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X215))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X215),one_one_nat))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X215),hAPP_nat_nat(power_power_nat(X215),X214))),hAPP_nat_nat(power_power_nat(X215),X214))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_407_power__Suc__less) ).
fof(fact_406_power__Suc__less,axiom,
! [X214,X215] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X215))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X215),one_one_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X215),hAPP_nat_int(power_power_int(X215),X214))),hAPP_nat_int(power_power_int(X215),X214))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_406_power__Suc__less) ).
fof(fact_640_zcong__square,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X5),one_one_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X5,one_one_int),X152))
| hBOOL(hAPP_int_bool(zcong(X5,hAPP_int_int(minus_minus_int(X152),one_one_int)),X152)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_640_zcong__square) ).
fof(fact_990_less__diff__iff,axiom,
! [X161,X38,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X38),X198))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X38),X161))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X198),X38)),hAPP_nat_nat(minus_minus_nat(X161),X38)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_990_less__diff__iff) ).
fof(fact_948_le__diff__iff,axiom,
! [X161,X38,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X38),X198))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X38),X161))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X198),X38)),hAPP_nat_nat(minus_minus_nat(X161),X38)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_948_le__diff__iff) ).
fof(fact_1194_split__mod,axiom,
! [X73,X161,X38] :
( hBOOL(hAPP_nat_bool(X73,hAPP_nat_nat(div_mod_nat(X161),X38)))
<=> ( ( X38 = zero_zero_nat
=> hBOOL(hAPP_nat_bool(X73,X161)) )
& ( X38 != zero_zero_nat
=> ! [X435,X446] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X446),X38))
=> ( X161 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X38),X435)),X446)
=> hBOOL(hAPP_nat_bool(X73,X446)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1194_split__mod) ).
fof(fact_778_mult__mono_H,axiom,
! [X366,X367,X368,X369] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X368),X369))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X366),X367))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X368))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X366))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X368),X366)),hAPP_real_real(times_times_real(X369),X367))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_778_mult__mono_H) ).
fof(fact_775_mult__mono,axiom,
! [X362,X363,X364,X365] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X364),X365))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X362),X363))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X365))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X362))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X364),X362)),hAPP_real_real(times_times_real(X365),X363))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_775_mult__mono) ).
fof(fact_779_mult__mono_H,axiom,
! [X366,X367,X368,X369] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X368),X369))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X366),X367))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X368))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X366))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X368),X366)),hAPP_nat_nat(times_times_nat(X369),X367))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_779_mult__mono_H) ).
fof(fact_776_mult__mono,axiom,
! [X362,X363,X364,X365] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X364),X365))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X362),X363))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X365))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X362))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X364),X362)),hAPP_nat_nat(times_times_nat(X365),X363))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_776_mult__mono) ).
fof(fact_780_mult__mono_H,axiom,
! [X366,X367,X368,X369] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X368),X369))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X366),X367))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X368))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X366))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X368),X366)),hAPP_int_int(times_times_int(X369),X367))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_780_mult__mono_H) ).
fof(fact_777_mult__mono,axiom,
! [X362,X363,X364,X365] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X364),X365))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X362),X363))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X365))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X362))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X364),X362)),hAPP_int_int(times_times_int(X365),X363))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_777_mult__mono) ).
fof(fact_645_zcong__zmult__prop2,axiom,
! [X99,X100,X101,X102,X198] :
( hBOOL(hAPP_int_bool(zcong(X101,X102),X198))
=> ( hBOOL(hAPP_int_bool(zcong(X99,hAPP_int_int(times_times_int(X100),X101)),X198))
<=> hBOOL(hAPP_int_bool(zcong(X99,hAPP_int_int(times_times_int(X100),X102)),X198)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_645_zcong__zmult__prop2) ).
fof(fact_644_zcong__zmult__prop1,axiom,
! [X99,X100,X101,X102,X198] :
( hBOOL(hAPP_int_bool(zcong(X101,X102),X198))
=> ( hBOOL(hAPP_int_bool(zcong(X99,hAPP_int_int(times_times_int(X101),X100)),X198))
<=> hBOOL(hAPP_int_bool(zcong(X99,hAPP_int_int(times_times_int(X102),X100)),X198)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_644_zcong__zmult__prop1) ).
fof(fact_652_zcong__less__eq,axiom,
! [X177,X22,X21] :
( ( is_int(X22)
& is_int(X21) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X22))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X21,X22),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X21),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X22),X177))
=> X21 = X22 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_652_zcong__less__eq) ).
fof(fact_1087_inv__is__inv,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),inv(X152,X5)),one_one_int),X152)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1087_inv__is__inv) ).
fof(fact_320_power__le__dvd,axiom,
! [X169,X170,X171,X172] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X170),X171)),X172))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X169),X171))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X170),X169)),X172)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_320_power__le__dvd) ).
fof(fact_322_power__le__dvd,axiom,
! [X169,X170,X171,X172] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X170),X171)),X172))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X169),X171))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X170),X169)),X172)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_322_power__le__dvd) ).
fof(fact_321_power__le__dvd,axiom,
! [X169,X170,X171,X172] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X170),X171)),X172))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X169),X171))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X170),X169)),X172)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_321_power__le__dvd) ).
fof(fact_1145_zcong__zmod,axiom,
! [X101,X102,X198] :
( hBOOL(hAPP_int_bool(zcong(X101,X102),X198))
<=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X101),X198),hAPP_int_int(div_mod_int(X102),X198)),X198)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1145_zcong__zmod) ).
fof(fact_718_combine__common__factor,axiom,
! [X316,X317,X318,X319] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X316),X317)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X318),X317)),X319)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X316),X318)),X317)),X319),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_718_combine__common__factor) ).
fof(fact_1046_left__add__mult__distrib,axiom,
! [X24,X437,X25,X23] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X24),X437)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X25),X437)),X23)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X24),X25)),X437)),X23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1046_left__add__mult__distrib) ).
fof(fact_719_combine__common__factor,axiom,
! [X316,X317,X318,X319] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X316),X317)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X318),X317)),X319)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X316),X318)),X317)),X319),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_719_combine__common__factor) ).
fof(fact_720_combine__common__factor,axiom,
! [X316,X317,X318,X319] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X316),X317)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X318),X317)),X319)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X316),X318)),X317)),X319),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_720_combine__common__factor) ).
fof(fact_832_mult__less__cancel__left__neg,axiom,
! [X101,X102,X99] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X99),zero_zero_real))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X99),X101)),hAPP_real_real(times_times_real(X99),X102)))
<=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X102),X101)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_832_mult__less__cancel__left__neg) ).
fof(fact_833_mult__less__cancel__left__neg,axiom,
! [X101,X102,X99] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X99),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X99),X101)),hAPP_int_int(times_times_int(X99),X102)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X102),X101)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_833_mult__less__cancel__left__neg) ).
fof(fact_861_real__mult__less__iff1,axiom,
! [X7,X8,X19] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X19))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X7),X19)),hAPP_real_real(times_times_real(X8),X19)))
<=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_861_real__mult__less__iff1) ).
fof(fact_376_power__less__imp__less__base,axiom,
! [X200,X201,X202] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X200),X201)),hAPP_nat_real(power_power_real(X202),X201)))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X202))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X200),X202)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_376_power__less__imp__less__base) ).
fof(fact_849_mult__less__cancel__left__pos,axiom,
! [X101,X102,X99] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X99))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X99),X101)),hAPP_real_real(times_times_real(X99),X102)))
<=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X101),X102)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_849_mult__less__cancel__left__pos) ).
fof(fact_862_real__mult__le__cancel__iff1,axiom,
! [X7,X8,X19] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X19))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X7),X19)),hAPP_real_real(times_times_real(X8),X19)))
<=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_862_real__mult__le__cancel__iff1) ).
fof(fact_863_real__mult__le__cancel__iff2,axiom,
! [X7,X8,X19] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X19))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X19),X7)),hAPP_real_real(times_times_real(X19),X8)))
<=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_863_real__mult__le__cancel__iff2) ).
fof(fact_1050_nat__mult__dvd__cancel1,axiom,
! [X198,X161,X38] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X38),X198)),hAPP_nat_nat(times_times_nat(X38),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1050_nat__mult__dvd__cancel1) ).
fof(fact_1040_dvd__mult__cancel,axiom,
! [X23,X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X23),X177)),hAPP_nat_nat(times_times_nat(X23),X176)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X23))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X177),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1040_dvd__mult__cancel) ).
fof(fact_375_power__less__imp__less__base,axiom,
! [X200,X201,X202] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X200),X201)),hAPP_nat_nat(power_power_nat(X202),X201)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X202))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X202)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_375_power__less__imp__less__base) ).
fof(fact_497_power__less__imp__less__exp,axiom,
! [X254,X255,X256] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X256))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X256),X254)),hAPP_nat_real(power_power_real(X256),X255)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X254),X255)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_497_power__less__imp__less__exp) ).
fof(fact_494_power__strict__increasing__iff,axiom,
! [X7,X8,X102] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X102))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X102),X7)),hAPP_nat_real(power_power_real(X102),X8)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_494_power__strict__increasing__iff) ).
fof(fact_1048_nat__mult__less__cancel1,axiom,
! [X198,X161,X38] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X38),X198)),hAPP_nat_nat(times_times_nat(X38),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1048_nat__mult__less__cancel1) ).
fof(fact_517_nat__power__less__imp__less,axiom,
! [X177,X176,X24] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X24))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X24),X177)),hAPP_nat_nat(power_power_nat(X24),X176)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_517_nat__power__less__imp__less) ).
fof(fact_498_power__less__imp__less__exp,axiom,
! [X254,X255,X256] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X256))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X256),X254)),hAPP_nat_nat(power_power_nat(X256),X255)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X254),X255)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_498_power__less__imp__less__exp) ).
fof(fact_495_power__strict__increasing__iff,axiom,
! [X7,X8,X102] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X102))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X102),X7)),hAPP_nat_nat(power_power_nat(X102),X8)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_495_power__strict__increasing__iff) ).
fof(fact_499_power__less__imp__less__exp,axiom,
! [X254,X255,X256] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X256))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X256),X254)),hAPP_nat_int(power_power_int(X256),X255)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X254),X255)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_499_power__less__imp__less__exp) ).
fof(fact_496_power__strict__increasing__iff,axiom,
! [X7,X8,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X102))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X102),X7)),hAPP_nat_int(power_power_int(X102),X8)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_496_power__strict__increasing__iff) ).
fof(fact_1042_mult__le__cancel2,axiom,
! [X198,X38,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X198),X38)),hAPP_nat_nat(times_times_nat(X161),X38)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1042_mult__le__cancel2) ).
fof(fact_305_power__increasing__iff,axiom,
! [X7,X8,X102] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X102))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X102),X7)),hAPP_nat_real(power_power_real(X102),X8)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_305_power__increasing__iff) ).
fof(fact_302_power__le__imp__le__exp,axiom,
! [X157,X158,X159] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X159))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X159),X157)),hAPP_nat_real(power_power_real(X159),X158)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X157),X158)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_302_power__le__imp__le__exp) ).
fof(fact_1051_nat__mult__le__cancel1,axiom,
! [X198,X161,X38] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X38),X198)),hAPP_nat_nat(times_times_nat(X38),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1051_nat__mult__le__cancel1) ).
fof(fact_1041_mult__le__cancel1,axiom,
! [X38,X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X38),X198)),hAPP_nat_nat(times_times_nat(X38),X161)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1041_mult__le__cancel1) ).
fof(fact_540_power__dvd__imp__le,axiom,
! [X24,X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X24),X177)),hAPP_nat_nat(power_power_nat(X24),X176)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X24))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_540_power__dvd__imp__le) ).
fof(fact_304_power__increasing__iff,axiom,
! [X7,X8,X102] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X102))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X102),X7)),hAPP_nat_nat(power_power_nat(X102),X8)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X7),X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304_power__increasing__iff) ).
fof(fact_301_power__le__imp__le__exp,axiom,
! [X157,X158,X159] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X159))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X159),X157)),hAPP_nat_nat(power_power_nat(X159),X158)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X157),X158)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_power__le__imp__le__exp) ).
fof(fact_303_power__increasing__iff,axiom,
! [X7,X8,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X102))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X102),X7)),hAPP_nat_int(power_power_int(X102),X8)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(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,
! [X157,X158,X159] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X159))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X159),X157)),hAPP_nat_int(power_power_int(X159),X158)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X157),X158)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300_power__le__imp__le__exp) ).
fof(fact_374_power__less__imp__less__base,axiom,
! [X200,X201,X202] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X200),X201)),hAPP_nat_int(power_power_int(X202),X201)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X202))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X200),X202)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_374_power__less__imp__less__base) ).
fof(fact_850_mult__less__cancel__left__pos,axiom,
! [X101,X102,X99] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X99))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X99),X101)),hAPP_int_int(times_times_int(X99),X102)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),X102)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_850_mult__less__cancel__left__pos) ).
fof(fact_662_zcong__zprime__prod__zero,axiom,
! [X6,X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X6),zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
| hBOOL(hAPP_int_bool(zcong(X6,zero_zero_int),X152)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_662_zcong__zprime__prod__zero) ).
fof(fact_641_zcong__square__zless,axiom,
! [X5,X152] :
( is_int(X5)
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X5),one_one_int),X152))
=> ( X5 = one_one_int
| X5 = hAPP_int_int(minus_minus_int(X152),one_one_int) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_641_zcong__square__zless) ).
fof(fact_382_power__strict__decreasing,axiom,
! [X206,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X206))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X206),one_one_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X206),X208)),hAPP_nat_real(power_power_real(X206),X207))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_382_power__strict__decreasing) ).
fof(fact_379_power__decreasing,axiom,
! [X203,X204,X205] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X204),X205))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X203))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X203),one_one_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X203),X205)),hAPP_nat_real(power_power_real(X203),X204))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_379_power__decreasing) ).
fof(fact_381_power__strict__decreasing,axiom,
! [X206,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X206))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X206),one_one_nat))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X206),X208)),hAPP_nat_nat(power_power_nat(X206),X207))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_381_power__strict__decreasing) ).
fof(fact_378_power__decreasing,axiom,
! [X203,X204,X205] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X204),X205))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X203))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X203),one_one_nat))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X203),X205)),hAPP_nat_nat(power_power_nat(X203),X204))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_378_power__decreasing) ).
fof(fact_380_power__strict__decreasing,axiom,
! [X206,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X206))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X206),one_one_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X206),X208)),hAPP_nat_int(power_power_int(X206),X207))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_380_power__strict__decreasing) ).
fof(fact_377_power__decreasing,axiom,
! [X203,X204,X205] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X204),X205))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X203))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X203),one_one_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X203),X205)),hAPP_nat_int(power_power_int(X203),X204))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_377_power__decreasing) ).
fof(fact_618_zcong__zdiff,axiom,
! [X273,X276,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X273,X276),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(minus_minus_int(X5),X273),hAPP_int_int(minus_minus_int(X6),X276)),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_618_zcong__zdiff) ).
fof(fact_575_zcong__zmult,axiom,
! [X273,X276,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X273,X276),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X273),hAPP_int_int(times_times_int(X6),X276)),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_575_zcong__zmult) ).
fof(fact_579_zcong__zadd,axiom,
! [X273,X276,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X273,X276),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(X5),X273),hAPP_int_int(plus_plus_int(X6),X276)),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_579_zcong__zadd) ).
fof(fact_340_power__strict__mono,axiom,
! [X184,X185,X186] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X185),X186))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X185))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X184))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X185),X184)),hAPP_nat_real(power_power_real(X186),X184))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_power__strict__mono) ).
fof(fact_339_power__strict__mono,axiom,
! [X184,X185,X186] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X185),X186))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X185))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X184))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X185),X184)),hAPP_nat_nat(power_power_nat(X186),X184))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_power__strict__mono) ).
fof(fact_338_power__strict__mono,axiom,
! [X184,X185,X186] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X185),X186))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X185))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X184))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X185),X184)),hAPP_nat_int(power_power_int(X186),X184))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_338_power__strict__mono) ).
fof(fact_1080_inv__less__p__minus__1,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),hAPP_int_int(minus_minus_int(X152),one_one_int)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,inv(X152,X5)),hAPP_int_int(minus_minus_int(X152),one_one_int))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1080_inv__less__p__minus__1) ).
fof(fact_1011_le__diff__conv2,axiom,
! [X432,X38,X433] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X38),X433))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X432),hAPP_nat_nat(minus_minus_nat(X433),X38)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X432),X38)),X433)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1011_le__diff__conv2) ).
fof(fact_853_mult__less__cancel__right__disj,axiom,
! [X101,X99,X102] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X101),X99)),hAPP_real_real(times_times_real(X102),X99)))
<=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X99))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X101),X102)) )
| ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X99),zero_zero_real))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X102),X101)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_853_mult__less__cancel__right__disj) ).
fof(fact_851_mult__less__cancel__left__disj,axiom,
! [X99,X101,X102] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X99),X101)),hAPP_real_real(times_times_real(X99),X102)))
<=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X99))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X101),X102)) )
| ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X99),zero_zero_real))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X102),X101)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_851_mult__less__cancel__left__disj) ).
fof(fact_854_mult__less__cancel__right__disj,axiom,
! [X101,X99,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X101),X99)),hAPP_int_int(times_times_int(X102),X99)))
<=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X99))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),X102)) )
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X99),zero_zero_int))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X102),X101)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_854_mult__less__cancel__right__disj) ).
fof(fact_852_mult__less__cancel__left__disj,axiom,
! [X99,X101,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X99),X101)),hAPP_int_int(times_times_int(X99),X102)))
<=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X99))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),X102)) )
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X99),zero_zero_int))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X102),X101)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_852_mult__less__cancel__left__disj) ).
fof(fact_594_zcong__zless__imp__eq,axiom,
! [X6,X177,X5] :
( ( is_int(X6)
& is_int(X5) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> X5 = X6 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_594_zcong__zless__imp__eq) ).
fof(fact_412_sum__squares__ge__zero,axiom,
! [X216,X217] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X216),X216)),hAPP_real_real(times_times_real(X217),X217)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_412_sum__squares__ge__zero) ).
fof(fact_411_sum__squares__ge__zero,axiom,
! [X216,X217] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X216),X216)),hAPP_int_int(times_times_int(X217),X217)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_411_sum__squares__ge__zero) ).
fof(fact_1103_wset__mem,axiom,
! [X102,X101,X262] :
( hBOOL(hAPP_int_bool(zprime,X262))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),hAPP_int_int(minus_minus_int(X262),one_one_int)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X102))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X102),X101))
=> hBOOL(member_int(X102,wset(X101,X262))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1103_wset__mem) ).
fof(fact_1008_le__add__diff,axiom,
! [X177,X23,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X176),X177)),X23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1008_le__add__diff) ).
fof(fact_296_power__less__power__Suc,axiom,
! [X153,X154] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X154))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X154),X153)),hAPP_real_real(times_times_real(X154),hAPP_nat_real(power_power_real(X154),X153)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_power__less__power__Suc) ).
fof(fact_295_power__less__power__Suc,axiom,
! [X153,X154] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X154))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X154),X153)),hAPP_nat_nat(times_times_nat(X154),hAPP_nat_nat(power_power_nat(X154),X153)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_power__less__power__Suc) ).
fof(fact_294_power__less__power__Suc,axiom,
! [X153,X154] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X154))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X154),X153)),hAPP_int_int(times_times_int(X154),hAPP_nat_int(power_power_int(X154),X153)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_power__less__power__Suc) ).
fof(fact_1031_nat__diff__split,axiom,
! [X73,X101,X102] :
( hBOOL(hAPP_nat_bool(X73,hAPP_nat_nat(minus_minus_nat(X101),X102)))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X101),X102))
=> hBOOL(hAPP_nat_bool(X73,zero_zero_nat)) )
& ! [X434] :
( X101 = hAPP_nat_nat(plus_plus_nat(X102),X434)
=> hBOOL(hAPP_nat_bool(X73,X434)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1031_nat__diff__split) ).
fof(fact_1063_zdvd__mono,axiom,
! [X198,X199,X38] :
( is_int(X38)
=> ( X38 != zero_zero_int
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X198),X199))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X38),X198)),hAPP_int_int(times_times_int(X38),X199))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1063_zdvd__mono) ).
fof(fact_328_zdvd__mult__cancel,axiom,
! [X23,X177,X176] :
( is_int(X23)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X23),X177)),hAPP_int_int(times_times_int(X23),X176)))
=> ( X23 != zero_zero_int
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X177),X176)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_328_zdvd__mult__cancel) ).
fof(fact_1049_nat__mult__dvd__cancel__disj,axiom,
! [X38,X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X38),X198)),hAPP_nat_nat(times_times_nat(X38),X161)))
<=> ( X38 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1049_nat__mult__dvd__cancel__disj) ).
fof(fact_860_nat__mult__dvd__cancel__disj_H,axiom,
! [X198,X38,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X198),X38)),hAPP_nat_nat(times_times_nat(X161),X38)))
<=> ( X38 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_860_nat__mult__dvd__cancel__disj_H) ).
fof(fact_1129_pow__divides__eq__nat,axiom,
! [X101,X102,X161] :
( X161 != zero_zero_nat
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X101),X161)),hAPP_nat_nat(power_power_nat(X102),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X101),X102)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1129_pow__divides__eq__nat) ).
fof(fact_868_divides__rev,axiom,
! [X5,X176,X6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X5),X176)),hAPP_nat_nat(power_power_nat(X6),X176)))
=> ( X176 != zero_zero_nat
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_868_divides__rev) ).
fof(fact_1130_pow__divides__pow__int,axiom,
! [X5,X176,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X5),X176)),hAPP_nat_int(power_power_int(X6),X176)))
=> ( X176 != zero_zero_nat
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1130_pow__divides__pow__int) ).
fof(fact_1117_pow__divides__eq__int,axiom,
! [X101,X102,X161] :
( X161 != zero_zero_nat
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X101),X161)),hAPP_nat_int(power_power_int(X102),X161)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X101),X102)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1117_pow__divides__eq__int) ).
fof(fact_994_dvd__diffD,axiom,
! [X23,X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),hAPP_nat_nat(minus_minus_nat(X177),X176)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X177))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),X177)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_994_dvd__diffD) ).
fof(fact_993_dvd__diffD1,axiom,
! [X23,X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),hAPP_nat_nat(minus_minus_nat(X177),X176)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),X177))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X177))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),X176)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_993_dvd__diffD1) ).
fof(fact_1035_mult__less__cancel2,axiom,
! [X198,X38,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X198),X38)),hAPP_nat_nat(times_times_nat(X161),X38)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1035_mult__less__cancel2) ).
fof(fact_1036_mult__less__cancel1,axiom,
! [X38,X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X38),X198)),hAPP_nat_nat(times_times_nat(X38),X161)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1036_mult__less__cancel1) ).
fof(fact_976_nat__add__left__cancel__less,axiom,
! [X38,X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X38),X198)),hAPP_nat_nat(plus_plus_nat(X38),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_976_nat__add__left__cancel__less) ).
fof(fact_998_nat__add__left__cancel__le,axiom,
! [X38,X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X38),X198)),hAPP_nat_nat(plus_plus_nat(X38),X161)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_998_nat__add__left__cancel__le) ).
fof(fact_372_zdvd__reduce,axiom,
! [X38,X161,X198] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X38),hAPP_int_int(plus_plus_int(X161),hAPP_int_int(times_times_int(X38),X198))))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X38),X161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_372_zdvd__reduce) ).
fof(fact_1100_wset__less,axiom,
! [X102,X101,X262] :
( hBOOL(hAPP_int_bool(zprime,X262))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),hAPP_int_int(minus_minus_int(X262),one_one_int)))
=> ( hBOOL(member_int(X102,wset(X101,X262)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X102),hAPP_int_int(minus_minus_int(X262),one_one_int))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1100_wset__less) ).
fof(fact_603_zprime__zdvd__zmult,axiom,
! [X176,X152,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X177))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),hAPP_int_int(times_times_int(X177),X176)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X177))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X176)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_603_zprime__zdvd__zmult) ).
fof(fact_317_dvd__power__le,axiom,
! [X165,X166,X167,X168] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X167),X168))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X165),X166))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X167),X165)),hAPP_nat_real(power_power_real(X168),X166))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_317_dvd__power__le) ).
fof(fact_738_mult__dvd__mono,axiom,
! [X337,X338,X339,X340] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X339),X340))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X337),X338))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X339),X337)),hAPP_real_real(times_times_real(X340),X338))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_738_mult__dvd__mono) ).
fof(fact_739_mult__dvd__mono,axiom,
! [X337,X338,X339,X340] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X339),X340))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X337),X338))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X339),X337)),hAPP_nat_nat(times_times_nat(X340),X338))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_739_mult__dvd__mono) ).
fof(fact_319_dvd__power__le,axiom,
! [X165,X166,X167,X168] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X167),X168))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X165),X166))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X167),X165)),hAPP_nat_nat(power_power_nat(X168),X166))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_319_dvd__power__le) ).
fof(fact_991_diff__less__mono,axiom,
! [X273,X5,X6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X6))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X273),X5))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X5),X273)),hAPP_nat_nat(minus_minus_nat(X6),X273))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_991_diff__less__mono) ).
fof(fact_895_diff__less__mono2,axiom,
! [X111,X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X111))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X111),X176)),hAPP_nat_nat(minus_minus_nat(X111),X177))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_895_diff__less__mono2) ).
fof(fact_980_add__less__mono,axiom,
! [X23,X111,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X25))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X23),X111))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X24),X23)),hAPP_nat_nat(plus_plus_nat(X25),X111))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_980_add__less__mono) ).
fof(fact_1020_mult__le__mono,axiom,
! [X23,X111,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X111))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X24),X23)),hAPP_nat_nat(times_times_nat(X25),X111))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1020_mult__le__mono) ).
fof(fact_1002_add__le__mono,axiom,
! [X23,X111,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X111))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X24),X23)),hAPP_nat_nat(plus_plus_nat(X25),X111))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1002_add__le__mono) ).
fof(fact_318_dvd__power__le,axiom,
! [X165,X166,X167,X168] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X167),X168))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X165),X166))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X167),X165)),hAPP_nat_int(power_power_int(X168),X166))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_dvd__power__le) ).
fof(fact_740_mult__dvd__mono,axiom,
! [X337,X338,X339,X340] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X339),X340))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X337),X338))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X339),X337)),hAPP_int_int(times_times_int(X340),X338))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_740_mult__dvd__mono) ).
fof(fact_55_zadd__zless__mono,axiom,
! [X31,X18,X32,X17] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X32),X17))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X31),X18))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X32),X31)),hAPP_int_int(plus_plus_int(X17),X18))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_zadd__zless__mono) ).
fof(fact_1099_wset__subset,axiom,
! [X102,X262,X101] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X101))
=> ( hBOOL(member_int(X102,wset(hAPP_int_int(minus_minus_int(X101),one_one_int),X262)))
=> hBOOL(member_int(X102,wset(X101,X262))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1099_wset__subset) ).
fof(fact_816_mult__strict__right__mono__neg,axiom,
! [X399,X400,X401] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X400),X401))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X399),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X401),X399)),hAPP_real_real(times_times_real(X400),X399))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_816_mult__strict__right__mono__neg) ).
fof(fact_814_mult__strict__left__mono__neg,axiom,
! [X396,X397,X398] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X397),X398))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X396),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X396),X398)),hAPP_real_real(times_times_real(X396),X397))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_814_mult__strict__left__mono__neg) ).
fof(fact_783_mult__right__mono__neg,axiom,
! [X373,X374,X375] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X374),X375))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X373),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X375),X373)),hAPP_real_real(times_times_real(X374),X373))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_783_mult__right__mono__neg) ).
fof(fact_781_mult__left__mono__neg,axiom,
! [X370,X371,X372] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X371),X372))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X370),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X370),X372)),hAPP_real_real(times_times_real(X370),X371))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_781_mult__left__mono__neg) ).
fof(fact_817_mult__strict__right__mono__neg,axiom,
! [X399,X400,X401] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X400),X401))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X399),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X401),X399)),hAPP_int_int(times_times_int(X400),X399))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_817_mult__strict__right__mono__neg) ).
fof(fact_815_mult__strict__left__mono__neg,axiom,
! [X396,X397,X398] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X397),X398))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X396),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X396),X398)),hAPP_int_int(times_times_int(X396),X397))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_815_mult__strict__left__mono__neg) ).
fof(fact_784_mult__right__mono__neg,axiom,
! [X373,X374,X375] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X374),X375))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X373),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X375),X373)),hAPP_int_int(times_times_int(X374),X373))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_784_mult__right__mono__neg) ).
fof(fact_782_mult__left__mono__neg,axiom,
! [X370,X371,X372] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X371),X372))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X370),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X370),X372)),hAPP_int_int(times_times_int(X370),X371))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_782_mult__left__mono__neg) ).
fof(fact_500_power__strict__increasing,axiom,
! [X257,X258,X259] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X258),X259))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X257))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X257),X258)),hAPP_nat_real(power_power_real(X257),X259))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_500_power__strict__increasing) ).
fof(fact_865_real__mult__less__mono2,axiom,
! [X21,X22,X18] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X18))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X21),X22))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X18),X21)),hAPP_real_real(times_times_real(X18),X22))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_865_real__mult__less__mono2) ).
fof(fact_824_mult__strict__right__mono,axiom,
! [X408,X409,X410] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X409),X410))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X408))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X409),X408)),hAPP_real_real(times_times_real(X410),X408))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_824_mult__strict__right__mono) ).
fof(fact_821_mult__strict__left__mono,axiom,
! [X405,X406,X407] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X406),X407))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X405))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X405),X406)),hAPP_real_real(times_times_real(X405),X407))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_821_mult__strict__left__mono) ).
fof(fact_818_comm__mult__strict__left__mono,axiom,
! [X402,X403,X404] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X403),X404))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X402))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X402),X403)),hAPP_real_real(times_times_real(X402),X404))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_818_comm__mult__strict__left__mono) ).
fof(fact_367_power__mono,axiom,
! [X193,X194,X195] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X194),X195))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X194))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X194),X193)),hAPP_nat_real(power_power_real(X195),X193))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_367_power__mono) ).
fof(fact_488_power__increasing,axiom,
! [X251,X252,X253] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X252),X253))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X251))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X251),X252)),hAPP_nat_real(power_power_real(X251),X253))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_488_power__increasing) ).
fof(fact_791_mult__right__mono,axiom,
! [X382,X383,X384] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X383),X384))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X382))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X383),X382)),hAPP_real_real(times_times_real(X384),X382))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_791_mult__right__mono) ).
fof(fact_788_mult__left__mono,axiom,
! [X379,X380,X381] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X380),X381))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X379))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X379),X380)),hAPP_real_real(times_times_real(X379),X381))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_788_mult__left__mono) ).
fof(fact_785_comm__mult__left__mono,axiom,
! [X376,X377,X378] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X377),X378))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X376))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X376),X377)),hAPP_real_real(times_times_real(X376),X378))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_785_comm__mult__left__mono) ).
fof(fact_1034_mult__less__mono1,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X25))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X23))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X24),X23)),hAPP_nat_nat(times_times_nat(X25),X23))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1034_mult__less__mono1) ).
fof(fact_825_mult__strict__right__mono,axiom,
! [X408,X409,X410] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X409),X410))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X408))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X409),X408)),hAPP_nat_nat(times_times_nat(X410),X408))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_825_mult__strict__right__mono) ).
fof(fact_1033_mult__less__mono2,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X25))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X23))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X23),X24)),hAPP_nat_nat(times_times_nat(X23),X25))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1033_mult__less__mono2) ).
fof(fact_822_mult__strict__left__mono,axiom,
! [X405,X406,X407] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X406),X407))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X405))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X405),X406)),hAPP_nat_nat(times_times_nat(X405),X407))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_822_mult__strict__left__mono) ).
fof(fact_819_comm__mult__strict__left__mono,axiom,
! [X402,X403,X404] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X403),X404))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X402))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X402),X403)),hAPP_nat_nat(times_times_nat(X402),X404))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_819_comm__mult__strict__left__mono) ).
fof(fact_501_power__strict__increasing,axiom,
! [X257,X258,X259] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X258),X259))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X257))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X257),X258)),hAPP_nat_nat(power_power_nat(X257),X259))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_501_power__strict__increasing) ).
fof(fact_792_mult__right__mono,axiom,
! [X382,X383,X384] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X383),X384))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X382))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X383),X382)),hAPP_nat_nat(times_times_nat(X384),X382))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_792_mult__right__mono) ).
fof(fact_789_mult__left__mono,axiom,
! [X379,X380,X381] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X380),X381))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X379))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X379),X380)),hAPP_nat_nat(times_times_nat(X379),X381))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_789_mult__left__mono) ).
fof(fact_786_comm__mult__left__mono,axiom,
! [X376,X377,X378] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X377),X378))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X376))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X376),X377)),hAPP_nat_nat(times_times_nat(X376),X378))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_786_comm__mult__left__mono) ).
fof(fact_366_power__mono,axiom,
! [X193,X194,X195] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X194),X195))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X194))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X194),X193)),hAPP_nat_nat(power_power_nat(X195),X193))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_366_power__mono) ).
fof(fact_489_power__increasing,axiom,
! [X251,X252,X253] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X252),X253))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X251))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X251),X252)),hAPP_nat_nat(power_power_nat(X251),X253))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_489_power__increasing) ).
fof(fact_502_power__strict__increasing,axiom,
! [X257,X258,X259] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X258),X259))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X257))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X257),X258)),hAPP_nat_int(power_power_int(X257),X259))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_502_power__strict__increasing) ).
fof(fact_826_mult__strict__right__mono,axiom,
! [X408,X409,X410] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X409),X410))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X408))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X409),X408)),hAPP_int_int(times_times_int(X410),X408))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_826_mult__strict__right__mono) ).
fof(fact_823_mult__strict__left__mono,axiom,
! [X405,X406,X407] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X406),X407))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X405))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X405),X406)),hAPP_int_int(times_times_int(X405),X407))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_823_mult__strict__left__mono) ).
fof(fact_820_comm__mult__strict__left__mono,axiom,
! [X402,X403,X404] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X403),X404))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X402))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X402),X403)),hAPP_int_int(times_times_int(X402),X404))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_820_comm__mult__strict__left__mono) ).
fof(fact_404_zmult__zless__mono2,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X24),X25))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X23))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X23),X24)),hAPP_int_int(times_times_int(X23),X25))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_404_zmult__zless__mono2) ).
fof(fact_365_power__mono,axiom,
! [X193,X194,X195] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X194),X195))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X194))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X194),X193)),hAPP_nat_int(power_power_int(X195),X193))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_365_power__mono) ).
fof(fact_490_power__increasing,axiom,
! [X251,X252,X253] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X252),X253))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X251))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X251),X252)),hAPP_nat_int(power_power_int(X251),X253))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_490_power__increasing) ).
fof(fact_793_mult__right__mono,axiom,
! [X382,X383,X384] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X383),X384))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X382))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X383),X382)),hAPP_int_int(times_times_int(X384),X382))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_793_mult__right__mono) ).
fof(fact_790_mult__left__mono,axiom,
! [X379,X380,X381] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X380),X381))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X379))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X379),X380)),hAPP_int_int(times_times_int(X379),X381))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_790_mult__left__mono) ).
fof(fact_787_comm__mult__left__mono,axiom,
! [X376,X377,X378] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X377),X378))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X376))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X376),X377)),hAPP_int_int(times_times_int(X376),X378))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_787_comm__mult__left__mono) ).
fof(fact_1106_d22set__induct__old,axiom,
! [X7,X73] :
( ! [X438] :
( is_int(X438)
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X438))
=> hBOOL(hAPP_int_bool(X73,hAPP_int_int(minus_minus_int(X438),one_one_int))) )
=> hBOOL(hAPP_int_bool(X73,X438)) ) )
=> hBOOL(hAPP_int_bool(X73,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1106_d22set__induct__old) ).
fof(fact_647_zcong__zpower,axiom,
! [X18,X21,X22,X177] :
( hBOOL(hAPP_int_bool(zcong(X21,X22),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X21),X18),hAPP_nat_int(power_power_int(X22),X18)),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_647_zcong__zpower) ).
fof(fact_577_zcong__scalar,axiom,
! [X23,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X23),hAPP_int_int(times_times_int(X6),X23)),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_577_zcong__scalar) ).
fof(fact_576_zcong__scalar2,axiom,
! [X23,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X23),X5),hAPP_int_int(times_times_int(X23),X6)),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_576_zcong__scalar2) ).
fof(fact_646_zcong__shift,axiom,
! [X273,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(X5),X273),hAPP_int_int(plus_plus_int(X6),X273)),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_646_zcong__shift) ).
fof(fact_984_less__diff__conv,axiom,
! [X432,X433,X38] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X432),hAPP_nat_nat(minus_minus_nat(X433),X38)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X432),X38)),X433)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_984_less__diff__conv) ).
fof(fact_1007_le__diff__conv,axiom,
! [X433,X38,X432] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X433),X38)),X432))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X433),hAPP_nat_nat(plus_plus_nat(X432),X38))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1007_le__diff__conv) ).
fof(fact_1079_inv__g__1,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),hAPP_int_int(minus_minus_int(X152),one_one_int)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),inv(X152,X5))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1079_inv__g__1) ).
fof(fact_1164_mod__pos__neg__trivial,axiom,
! [X6,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X5),X6)),zero_zero_int))
=> hAPP_int_int(div_mod_int(X5),X6) = hAPP_int_int(plus_plus_int(X5),X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1164_mod__pos__neg__trivial) ).
fof(fact_808_mult__le__0__iff,axiom,
! [X101,X102] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X101),X102)),zero_zero_real))
<=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X101))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X102),zero_zero_real)) )
| ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X101),zero_zero_real))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X102)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_808_mult__le__0__iff) ).
fof(fact_809_mult__le__0__iff,axiom,
! [X101,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X101),X102)),zero_zero_int))
<=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X101))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X102),zero_zero_int)) )
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X101),zero_zero_int))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X102)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_809_mult__le__0__iff) ).
fof(fact_1148_zpower__zmod,axiom,
! [X21,X177,X22] : hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(hAPP_int_int(div_mod_int(X21),X177)),X22)),X177) = hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(X21),X22)),X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1148_zpower__zmod) ).
fof(fact_1154_zdiff__zmod__left,axiom,
! [X21,X177,X22] : hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(hAPP_int_int(div_mod_int(X21),X177)),X22)),X177) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X21),X22)),X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1154_zdiff__zmod__left) ).
fof(fact_1068_zcong__zless__unique,axiom,
! [X5,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X177))
=> ? [X3] :
( is_int(X3)
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X177))
& hBOOL(hAPP_int_bool(zcong(X5,X3),X177))
& ! [X4] :
( is_int(X4)
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4),X177))
& hBOOL(hAPP_int_bool(zcong(X5,X4),X177)) )
=> X4 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1068_zcong__zless__unique) ).
fof(fact_327_zdvd__antisym__nonneg,axiom,
! [X176,X177] :
( ( is_int(X176)
& is_int(X177) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X176))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X177),X176))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X176),X177))
=> X177 = X176 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_zdvd__antisym__nonneg) ).
fof(fact_1101_wset__g__1,axiom,
! [X102,X101,X262] :
( hBOOL(hAPP_int_bool(zprime,X262))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),hAPP_int_int(minus_minus_int(X262),one_one_int)))
=> ( hBOOL(member_int(X102,wset(X101,X262)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X102)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1101_wset__g__1) ).
fof(fact_874_dvd__mult__cancel2,axiom,
! [X161,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X198))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X161),X198)),X198))
<=> X161 = one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_874_dvd__mult__cancel2) ).
fof(fact_875_dvd__mult__cancel1,axiom,
! [X161,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X198))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X198),X161)),X198))
<=> X161 = one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_875_dvd__mult__cancel1) ).
fof(fact_664_zpower__zdvd__prop2,axiom,
! [X22,X176,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),hAPP_nat_int(power_power_int(X22),X176)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X22)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_664_zpower__zdvd__prop2) ).
fof(fact_170_crossproduct__eq,axiom,
! [X20,X8,X7,X19] :
( ( is_int(X20)
& is_int(X8)
& is_int(X7)
& is_int(X19) )
=> ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X20),X8)),hAPP_int_int(times_times_int(X7),X19)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X20),X19)),hAPP_int_int(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,
! [X99,X100,X101,X102] :
( ( is_int(X99)
& is_int(X100)
& is_int(X101)
& is_int(X102) )
=> ( ( X101 != X102
& X99 != X100 )
<=> hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X101),X99)),hAPP_int_int(times_times_int(X102),X100)) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X101),X100)),hAPP_int_int(times_times_int(X102),X99)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_crossproduct__noteq) ).
fof(fact_829_mult__neg__pos,axiom,
! [X413,X414] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X414),zero_zero_real))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X413))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X414),X413)),zero_zero_real)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_829_mult__neg__pos) ).
fof(fact_843_mult__pos__neg,axiom,
! [X421,X422] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X422))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X421),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X422),X421)),zero_zero_real)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_843_mult__pos__neg) ).
fof(fact_840_mult__pos__neg2,axiom,
! [X419,X420] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X420))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X419),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X419),X420)),zero_zero_real)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_840_mult__pos__neg2) ).
fof(fact_796_mult__nonpos__nonneg,axiom,
! [X387,X388] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X388),zero_zero_real))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X387))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X388),X387)),zero_zero_real)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_796_mult__nonpos__nonneg) ).
fof(fact_770_split__mult__neg__le,axiom,
! [X358,X359] :
( ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X359))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X358),zero_zero_real)) )
| ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X359),zero_zero_real))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X358)) ) )
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X359),X358)),zero_zero_real)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_770_split__mult__neg__le) ).
fof(fact_802_mult__nonneg__nonpos,axiom,
! [X391,X392] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X392))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X391),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X392),X391)),zero_zero_real)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_802_mult__nonneg__nonpos) ).
fof(fact_799_mult__nonneg__nonpos2,axiom,
! [X389,X390] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X390))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X389),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X389),X390)),zero_zero_real)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_799_mult__nonneg__nonpos2) ).
fof(fact_830_mult__neg__pos,axiom,
! [X413,X414] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X414),zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X413))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X414),X413)),zero_zero_nat)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_830_mult__neg__pos) ).
fof(fact_844_mult__pos__neg,axiom,
! [X421,X422] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X422))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X421),zero_zero_nat))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X422),X421)),zero_zero_nat)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_844_mult__pos__neg) ).
fof(fact_841_mult__pos__neg2,axiom,
! [X419,X420] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X420))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X419),zero_zero_nat))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X419),X420)),zero_zero_nat)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_841_mult__pos__neg2) ).
fof(fact_797_mult__nonpos__nonneg,axiom,
! [X387,X388] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X388),zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X387))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X388),X387)),zero_zero_nat)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_797_mult__nonpos__nonneg) ).
fof(fact_771_split__mult__neg__le,axiom,
! [X358,X359] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X359))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X358),zero_zero_nat)) )
| ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X359),zero_zero_nat))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X358)) ) )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X359),X358)),zero_zero_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_771_split__mult__neg__le) ).
fof(fact_803_mult__nonneg__nonpos,axiom,
! [X391,X392] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X392))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X391),zero_zero_nat))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X392),X391)),zero_zero_nat)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_803_mult__nonneg__nonpos) ).
fof(fact_800_mult__nonneg__nonpos2,axiom,
! [X389,X390] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X390))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X389),zero_zero_nat))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X389),X390)),zero_zero_nat)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_800_mult__nonneg__nonpos2) ).
fof(fact_831_mult__neg__pos,axiom,
! [X413,X414] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X414),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X413))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X414),X413)),zero_zero_int)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_831_mult__neg__pos) ).
fof(fact_845_mult__pos__neg,axiom,
! [X421,X422] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X422))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X421),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X422),X421)),zero_zero_int)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_845_mult__pos__neg) ).
fof(fact_842_mult__pos__neg2,axiom,
! [X419,X420] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X420))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X419),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X419),X420)),zero_zero_int)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_842_mult__pos__neg2) ).
fof(fact_798_mult__nonpos__nonneg,axiom,
! [X387,X388] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X388),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X387))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X388),X387)),zero_zero_int)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_798_mult__nonpos__nonneg) ).
fof(fact_772_split__mult__neg__le,axiom,
! [X358,X359] :
( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X359))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X358),zero_zero_int)) )
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X359),zero_zero_int))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X358)) ) )
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X359),X358)),zero_zero_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_772_split__mult__neg__le) ).
fof(fact_804_mult__nonneg__nonpos,axiom,
! [X391,X392] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X392))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X391),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X392),X391)),zero_zero_int)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_804_mult__nonneg__nonpos) ).
fof(fact_801_mult__nonneg__nonpos2,axiom,
! [X389,X390] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X390))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X389),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X389),X390)),zero_zero_int)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_801_mult__nonneg__nonpos2) ).
fof(fact_958_diff__less,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X177))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X177),X176)),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_958_diff__less) ).
fof(fact_1070_Wilson__Russ,axiom,
! [X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> hBOOL(hAPP_int_bool(zcong(zfact(hAPP_int_int(minus_minus_int(X152),one_one_int)),number_number_of_int(min)),X152)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1070_Wilson__Russ) ).
fof(fact_867_divides__exp2,axiom,
! [X21,X22,X176] :
( X176 != zero_zero_nat
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X21),X176)),X22))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_867_divides__exp2) ).
fof(fact_763_divides__add__revr,axiom,
! [X6,X276,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X276),X5))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X276),hAPP_nat_nat(plus_plus_nat(X5),X6)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X276),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_763_divides__add__revr) ).
fof(fact_1146_zdvd__zmod__imp__zdvd,axiom,
! [X23,X177,X176] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X23),hAPP_int_int(div_mod_int(X177),X176)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X23),X176))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X23),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1146_zdvd__zmod__imp__zdvd) ).
fof(fact_619_zdvd__zdiffD,axiom,
! [X23,X177,X176] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X23),hAPP_int_int(minus_minus_int(X177),X176)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X23),X176))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X23),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_619_zdvd__zdiffD) ).
fof(fact_732_dvd__mult__left,axiom,
! [X331,X332,X333] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X331),X332)),X333))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X331),X333)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_732_dvd__mult__left) ).
fof(fact_729_dvd__mult__right,axiom,
! [X328,X329,X330] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X328),X329)),X330))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X329),X330)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_729_dvd__mult__right) ).
fof(fact_733_dvd__mult__left,axiom,
! [X331,X332,X333] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X331),X332)),X333))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X331),X333)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_733_dvd__mult__left) ).
fof(fact_730_dvd__mult__right,axiom,
! [X328,X329,X330] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X328),X329)),X330))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X329),X330)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_730_dvd__mult__right) ).
fof(fact_982_add__lessD1,axiom,
! [X24,X25,X23] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X24),X25)),X23))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_982_add__lessD1) ).
fof(fact_1004_add__leD1,axiom,
! [X177,X23,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X177),X23)),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1004_add__leD1) ).
fof(fact_1003_add__leD2,axiom,
! [X177,X23,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X177),X23)),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1003_add__leD2) ).
fof(fact_734_dvd__mult__left,axiom,
! [X331,X332,X333] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X331),X332)),X333))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X331),X333)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_734_dvd__mult__left) ).
fof(fact_731_dvd__mult__right,axiom,
! [X328,X329,X330] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X328),X329)),X330))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X329),X330)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_731_dvd__mult__right) ).
fof(fact_657_zprime__zdvd__zmult__better,axiom,
! [X177,X176,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),hAPP_int_int(times_times_int(X177),X176)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X177))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X176)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_657_zprime__zdvd__zmult__better) ).
fof(fact_1078_inv__not__p__minus__1,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),hAPP_int_int(minus_minus_int(X152),one_one_int)))
=> inv(X152,X5) != hAPP_int_int(minus_minus_int(X152),one_one_int) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1078_inv__not__p__minus__1) ).
fof(fact_675_real__le__eq__diff,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X7),X8))
<=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(minus_minus_real(X7),X8)),zero_zero_real)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_675_real__le__eq__diff) ).
fof(fact_627_less__bin__lemma,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),X39))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X38),X39)),zero_zero_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_627_less__bin__lemma) ).
fof(fact_384_even__less__0__iff,axiom,
! [X101] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X101),X101)),zero_zero_real))
<=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X101),zero_zero_real)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_384_even__less__0__iff) ).
fof(fact_383_even__less__0__iff,axiom,
! [X101] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X101),X101)),zero_zero_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),zero_zero_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_383_even__less__0__iff) ).
fof(fact_172_crossproduct__eq,axiom,
! [X20,X8,X7,X19] :
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X20),X8)),hAPP_real_real(times_times_real(X7),X19)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X20),X19)),hAPP_real_real(times_times_real(X7),X8))
<=> ( X20 = X7
| X8 = X19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_crossproduct__eq) ).
fof(fact_171_crossproduct__eq,axiom,
! [X20,X8,X7,X19] :
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X20),X8)),hAPP_nat_nat(times_times_nat(X7),X19)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X20),X19)),hAPP_nat_nat(times_times_nat(X7),X8))
<=> ( X20 = X7
| X8 = X19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_crossproduct__eq) ).
fof(fact_181_crossproduct__noteq,axiom,
! [X99,X100,X101,X102] :
( ( X101 != X102
& X99 != X100 )
<=> hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X101),X99)),hAPP_real_real(times_times_real(X102),X100)) != hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X101),X100)),hAPP_real_real(times_times_real(X102),X99)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_crossproduct__noteq) ).
fof(fact_180_crossproduct__noteq,axiom,
! [X99,X100,X101,X102] :
( ( X101 != X102
& X99 != X100 )
<=> hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X101),X99)),hAPP_nat_nat(times_times_nat(X102),X100)) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X101),X100)),hAPP_nat_nat(times_times_nat(X102),X99)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_crossproduct__noteq) ).
fof(fact_329_dvd__power__same,axiom,
! [X178,X179,X180] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X179),X180))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X179),X178)),hAPP_nat_real(power_power_real(X180),X178))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_329_dvd__power__same) ).
fof(fact_314_le__imp__power__dvd,axiom,
! [X162,X163,X164] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X163),X164))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X162),X163)),hAPP_nat_real(power_power_real(X162),X164))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_314_le__imp__power__dvd) ).
fof(fact_691_real__add__left__mono,axiom,
! [X18,X21,X22] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X21),X22))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X18),X21)),hAPP_real_real(plus_plus_real(X18),X22))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_691_real__add__left__mono) ).
fof(fact_765_divides__mul__r,axiom,
! [X273,X5,X6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X5),X273)),hAPP_nat_nat(times_times_nat(X6),X273))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_765_divides__mul__r) ).
fof(fact_764_divides__mul__l,axiom,
! [X273,X5,X6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X273),X5)),hAPP_nat_nat(times_times_nat(X273),X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_764_divides__mul__l) ).
fof(fact_769_divides__exp,axiom,
! [X176,X21,X22] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X21),X176)),hAPP_nat_nat(power_power_nat(X22),X176))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_769_divides__exp) ).
fof(fact_331_dvd__power__same,axiom,
! [X178,X179,X180] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X179),X180))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X179),X178)),hAPP_nat_nat(power_power_nat(X180),X178))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_331_dvd__power__same) ).
fof(fact_316_le__imp__power__dvd,axiom,
! [X162,X163,X164] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X163),X164))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X162),X163)),hAPP_nat_nat(power_power_nat(X162),X164))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_316_le__imp__power__dvd) ).
fof(fact_979_add__less__mono1,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X24),X23)),hAPP_nat_nat(plus_plus_nat(X25),X23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_979_add__less__mono1) ).
fof(fact_944_diff__le__mono,axiom,
! [X111,X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X177),X111)),hAPP_nat_nat(minus_minus_nat(X176),X111))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_944_diff__le__mono) ).
fof(fact_943_diff__le__mono2,axiom,
! [X111,X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X111),X176)),hAPP_nat_nat(minus_minus_nat(X111),X177))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_943_diff__le__mono2) ).
fof(fact_1022_mult__le__mono1,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X24),X23)),hAPP_nat_nat(times_times_nat(X25),X23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1022_mult__le__mono1) ).
fof(fact_1021_mult__le__mono2,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X23),X24)),hAPP_nat_nat(times_times_nat(X23),X25))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1021_mult__le__mono2) ).
fof(fact_1001_add__le__mono1,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X24),X23)),hAPP_nat_nat(plus_plus_nat(X25),X23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1001_add__le__mono1) ).
fof(fact_330_dvd__power__same,axiom,
! [X178,X179,X180] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X179),X180))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X179),X178)),hAPP_nat_int(power_power_int(X180),X178))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_330_dvd__power__same) ).
fof(fact_315_le__imp__power__dvd,axiom,
! [X162,X163,X164] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X163),X164))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X162),X163)),hAPP_nat_int(power_power_int(X162),X164))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_315_le__imp__power__dvd) ).
fof(fact_75_zadd__strict__right__mono,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X24),X25))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X24),X23)),hAPP_int_int(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] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X24),X25))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X23),X24)),hAPP_int_int(plus_plus_int(X23),X25))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_zadd__left__mono) ).
fof(fact_1182_mod__mult__self3,axiom,
! [X23,X176,X177] : hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X23),X176)),X177)),X176) = hAPP_nat_nat(div_mod_nat(X177),X176),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1182_mod__mult__self3) ).
fof(fact_87_add1__zle__eq,axiom,
! [X20,X19] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X20),one_one_int)),X19))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_add1__zle__eq) ).
fof(fact_323_power__eq__imp__eq__base,axiom,
! [X173,X174,X175] :
( ( is_int(X173)
& is_int(X175) )
=> ( hAPP_nat_int(power_power_int(X173),X174) = hAPP_nat_int(power_power_int(X175),X174)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X173))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X175))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X174))
=> X173 = X175 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_323_power__eq__imp__eq__base) ).
fof(fact_834_zero__less__mult__pos2,axiom,
! [X415,X416] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X415),X416)))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X416))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X415)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_834_zero__less__mult__pos2) ).
fof(fact_837_zero__less__mult__pos,axiom,
! [X417,X418] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X417),X418)))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X417))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X418)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_837_zero__less__mult__pos) ).
fof(fact_835_zero__less__mult__pos2,axiom,
! [X415,X416] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X415),X416)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X416))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X415)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_835_zero__less__mult__pos2) ).
fof(fact_838_zero__less__mult__pos,axiom,
! [X417,X418] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X417),X418)))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X417))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X418)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_838_zero__less__mult__pos) ).
fof(fact_836_zero__less__mult__pos2,axiom,
! [X415,X416] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X415),X416)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X416))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X415)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_836_zero__less__mult__pos2) ).
fof(fact_839_zero__less__mult__pos,axiom,
! [X417,X418] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X417),X418)))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X417))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X418)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_839_zero__less__mult__pos) ).
fof(fact_403_pos__zmult__pos,axiom,
! [X6,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X5),X6)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_403_pos__zmult__pos) ).
fof(fact_590_zcong__iff__lin,axiom,
! [X101,X102,X198] :
( is_int(X102)
=> ( hBOOL(hAPP_int_bool(zcong(X101,X102),X198))
<=> ? [X278] :
( is_int(X278)
& X102 = hAPP_int_int(plus_plus_int(X101),hAPP_int_int(times_times_int(X198),X278)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_590_zcong__iff__lin) ).
fof(fact_299_power__gt1__lemma,axiom,
! [X155,X156] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X156))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(times_times_real(X156),hAPP_nat_real(power_power_real(X156),X155)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_power__gt1__lemma) ).
fof(fact_298_power__gt1__lemma,axiom,
! [X155,X156] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X156))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(times_times_nat(X156),hAPP_nat_nat(power_power_nat(X156),X155)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_power__gt1__lemma) ).
fof(fact_297_power__gt1__lemma,axiom,
! [X155,X156] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X156))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(times_times_int(X156),hAPP_nat_int(power_power_int(X156),X155)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_power__gt1__lemma) ).
fof(fact_1076_inv__distinct,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),hAPP_int_int(minus_minus_int(X152),one_one_int)))
=> X5 != inv(X152,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1076_inv__distinct) ).
fof(fact_1082_inv__not__0,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),hAPP_int_int(minus_minus_int(X152),one_one_int)))
=> inv(X152,X5) != zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1082_inv__not__0) ).
fof(fact_1077_inv__not__1,axiom,
! [X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),hAPP_int_int(minus_minus_int(X152),one_one_int)))
=> inv(X152,X5) != one_one_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1077_inv__not__1) ).
fof(fact_632_Euler_Oaux1,axiom,
! [X5,X21] :
( is_int(X21)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X21),X5))
=> ( X21 != hAPP_int_int(minus_minus_int(X5),one_one_int)
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X21),hAPP_int_int(minus_minus_int(X5),one_one_int))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_632_Euler_Oaux1) ).
fof(fact_325_power__eq__imp__eq__base,axiom,
! [X173,X174,X175] :
( hAPP_nat_real(power_power_real(X173),X174) = hAPP_nat_real(power_power_real(X175),X174)
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X173))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X175))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X174))
=> X173 = X175 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_325_power__eq__imp__eq__base) ).
fof(fact_324_power__eq__imp__eq__base,axiom,
! [X173,X174,X175] :
( hAPP_nat_nat(power_power_nat(X173),X174) = hAPP_nat_nat(power_power_nat(X175),X174)
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X173))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X175))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X174))
=> X173 = X175 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_power__eq__imp__eq__base) ).
fof(fact_947_Nat_Odiff__diff__eq,axiom,
! [X176,X23,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X177))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X176))
=> hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X177),X23)),hAPP_nat_nat(minus_minus_nat(X176),X23)) = hAPP_nat_nat(minus_minus_nat(X177),X176) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_947_Nat_Odiff__diff__eq) ).
fof(fact_510_self__quotient__aux1,axiom,
! [X264,X265,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( X5 = hAPP_int_int(plus_plus_int(X264),hAPP_int_int(times_times_int(X5),X265))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X264),X5))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X265)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_510_self__quotient__aux1) ).
fof(fact_572_Euler_Oaux2,axiom,
! [X6,X5,X273] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X273))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X273))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5),X6))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X6),X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_572_Euler_Oaux2) ).
fof(fact_759_dvd__diff,axiom,
! [X355,X356,X357] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X356),X357))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X356),X355))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X356),hAPP_real_real(minus_minus_real(X357),X355))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_759_dvd__diff) ).
fof(fact_753_dvd__add,axiom,
! [X351,X352,X353] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X352),X353))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X352),X351))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X352),hAPP_real_real(plus_plus_real(X353),X351))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_753_dvd__add) ).
fof(fact_926_dvd__diff__nat,axiom,
! [X176,X23,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),X177))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),hAPP_nat_nat(minus_minus_nat(X177),X176))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_926_dvd__diff__nat) ).
fof(fact_754_dvd__add,axiom,
! [X351,X352,X353] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X352),X353))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X352),X351))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X352),hAPP_nat_nat(plus_plus_nat(X353),X351))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_754_dvd__add) ).
fof(fact_1147_zdvd__zmod,axiom,
! [X176,X445,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X445),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X445),X176))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X445),hAPP_int_int(div_mod_int(X177),X176))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1147_zdvd__zmod) ).
fof(fact_760_dvd__diff,axiom,
! [X355,X356,X357] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X356),X357))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X356),X355))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X356),hAPP_int_int(minus_minus_int(X357),X355))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_760_dvd__diff) ).
fof(fact_755_dvd__add,axiom,
! [X351,X352,X353] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X352),X353))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X352),X351))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X352),hAPP_int_int(plus_plus_int(X353),X351))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_755_dvd__add) ).
fof(fact_578_zcong__zmult__self,axiom,
! [X5,X177,X6] : hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X177),hAPP_int_int(times_times_int(X6),X177)),X177)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_578_zcong__zmult__self) ).
fof(fact_509_self__quotient__aux2,axiom,
! [X264,X265,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( X5 = hAPP_int_int(plus_plus_int(X264),hAPP_int_int(times_times_int(X5),X265))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X264))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X265),one_one_int)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_509_self__quotient__aux2) ).
fof(fact_857_pos__add__strict,axiom,
! [X426,X427,X428] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X428))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X426),X427))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X426),hAPP_nat_nat(plus_plus_nat(X428),X427))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_857_pos__add__strict) ).
fof(fact_659_zpower__zdvd__prop1,axiom,
! [X152,X22,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X22))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),hAPP_nat_int(power_power_int(X22),X176))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_659_zpower__zdvd__prop1) ).
fof(fact_858_pos__add__strict,axiom,
! [X426,X427,X428] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X428))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X426),X427))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X426),hAPP_int_int(plus_plus_int(X428),X427))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_858_pos__add__strict) ).
fof(fact_873_realpow__pos__nth__unique,axiom,
! [X5,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X5))
=> ? [X3] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3))
& hAPP_nat_real(power_power_real(X3),X176) = X5
& ! [X4] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4))
& hAPP_nat_real(power_power_real(X4),X176) = X5 )
=> X4 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_873_realpow__pos__nth__unique) ).
fof(fact_827_mult__neg__neg,axiom,
! [X411,X412] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X412),zero_zero_real))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X411),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X412),X411))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_827_mult__neg__neg) ).
fof(fact_810_zero__le__mult__iff,axiom,
! [X101,X102] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X101),X102)))
<=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X101))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X102)) )
| ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X101),zero_zero_real))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X102),zero_zero_real)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_810_zero__le__mult__iff) ).
fof(fact_794_mult__nonpos__nonpos,axiom,
! [X385,X386] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X386),zero_zero_real))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X385),zero_zero_real))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X386),X385))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_794_mult__nonpos__nonpos) ).
fof(fact_773_split__mult__pos__le,axiom,
! [X360,X361] :
( ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X361))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X360)) )
| ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X361),zero_zero_real))
& hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X360),zero_zero_real)) ) )
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X361),X360))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_773_split__mult__pos__le) ).
fof(fact_828_mult__neg__neg,axiom,
! [X411,X412] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X412),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X411),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X412),X411))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_828_mult__neg__neg) ).
fof(fact_811_zero__le__mult__iff,axiom,
! [X101,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X101),X102)))
<=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X101))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X102)) )
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X101),zero_zero_int))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X102),zero_zero_int)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_811_zero__le__mult__iff) ).
fof(fact_795_mult__nonpos__nonpos,axiom,
! [X385,X386] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X386),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X385),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X386),X385))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_795_mult__nonpos__nonpos) ).
fof(fact_774_split__mult__pos__le,axiom,
! [X360,X361] :
( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X361))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X360)) )
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X361),zero_zero_int))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X360),zero_zero_int)) ) )
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X361),X360))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_774_split__mult__pos__le) ).
fof(fact_1030_add__gr__0,axiom,
! [X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X198),X161)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X198))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1030_add__gr__0) ).
fof(fact_415_less__nat__number__of,axiom,
! [X30,X218] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X30)),number_number_of_nat(X218)))
<=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X30),X218))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X218)) )
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X30),X218)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_415_less__nat__number__of) ).
fof(fact_693_realpow__minus__mult,axiom,
! [X308,X309] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X309))
=> hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X308),hAPP_nat_nat(minus_minus_nat(X309),one_one_nat))),X308) = hAPP_nat_real(power_power_real(X308),X309) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_693_realpow__minus__mult) ).
fof(fact_692_realpow__minus__mult,axiom,
! [X308,X309] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X309))
=> hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X308),hAPP_nat_nat(minus_minus_nat(X309),one_one_nat))),X308) = hAPP_nat_nat(power_power_nat(X308),X309) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_692_realpow__minus__mult) ).
fof(fact_694_realpow__minus__mult,axiom,
! [X308,X309] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X309))
=> hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X308),hAPP_nat_nat(minus_minus_nat(X309),one_one_nat))),X308) = hAPP_nat_int(power_power_int(X308),X309) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_694_realpow__minus__mult) ).
fof(fact_864_real__mult__order,axiom,
! [X22,X21] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X21))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X22))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X21),X22))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_864_real__mult__order) ).
fof(fact_846_mult__pos__pos,axiom,
! [X423,X424] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X424))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X423))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X424),X423))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_846_mult__pos__pos) ).
fof(fact_553_one__less__power,axiom,
! [X269,X270] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X270))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X269))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(X270),X269))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_553_one__less__power) ).
fof(fact_805_mult__nonneg__nonneg,axiom,
! [X393,X394] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X394))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X393))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X394),X393))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_805_mult__nonneg__nonneg) ).
fof(fact_1037_nat__0__less__mult__iff,axiom,
! [X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X198),X161)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X198))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X161)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1037_nat__0__less__mult__iff) ).
fof(fact_847_mult__pos__pos,axiom,
! [X423,X424] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X424))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X423))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X424),X423))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_847_mult__pos__pos) ).
fof(fact_554_one__less__power,axiom,
! [X269,X270] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X270))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X269))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X270),X269))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_554_one__less__power) ).
fof(fact_806_mult__nonneg__nonneg,axiom,
! [X393,X394] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X394))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X393))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X394),X393))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_806_mult__nonneg__nonneg) ).
fof(fact_848_mult__pos__pos,axiom,
! [X423,X424] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X424))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X423))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X424),X423))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_848_mult__pos__pos) ).
fof(fact_555_one__less__power,axiom,
! [X269,X270] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X270))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X269))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(X270),X269))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_555_one__less__power) ).
fof(fact_1139_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
! [X22,X21] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X22))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X21),X22))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1139_Divides_Otransfer__nat__int__function__closures_I2_J) ).
fof(fact_807_mult__nonneg__nonneg,axiom,
! [X393,X394] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X394))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X393))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X394),X393))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_807_mult__nonneg__nonneg) ).
fof(fact_586_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
! [X22,X21] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X22))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X21),X22))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_586_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J) ).
fof(fact_587_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
! [X22,X21] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X22))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(X21),X22))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_587_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J) ).
fof(fact_390_zprime__zdvd__power,axiom,
! [X5,X176,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),hAPP_nat_int(power_power_int(X5),X176)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_390_zprime__zdvd__power) ).
fof(fact_658_Int2_Ozcong__zero,axiom,
! [X177,X21] :
( is_int(X21)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X21),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X177))
=> X21 = zero_zero_int ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_658_Int2_Ozcong__zero) ).
fof(fact_595_zcong__zless__0,axiom,
! [X177,X5] :
( is_int(X5)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X177))
=> X5 = zero_zero_int ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_595_zcong__zless__0) ).
fof(fact_896_less__imp__diff__less,axiom,
! [X176,X25,X23] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X25),X23))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X25),X176)),X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_896_less__imp__diff__less) ).
fof(fact_1156_zmod__zdvd__zmod,axiom,
! [X5,X6,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X177),X6))
=> hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X5),X6)),X177) = hAPP_int_int(div_mod_int(X5),X177) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1156_zmod__zdvd__zmod) ).
fof(fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
! [X46,X47,X48,X49] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X46),X47)),hAPP_real_real(times_times_real(X48),X49)) = hAPP_real_real(times_times_real(X48),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X46),X47)),X49)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).
fof(fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
! [X46,X47,X48,X49] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X46),X47)),hAPP_nat_nat(times_times_nat(X48),X49)) = hAPP_nat_nat(times_times_nat(X48),hAPP_nat_nat(times_times_nat(hAPP_nat_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] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X46),X47)),hAPP_int_int(times_times_int(X48),X49)) = hAPP_int_int(times_times_int(X48),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X46),X47)),X49)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).
fof(fact_1153_zdiff__zmod__right,axiom,
! [X21,X22,X177] : hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X21),hAPP_int_int(div_mod_int(X22),X177))),X177) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X21),X22)),X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1153_zdiff__zmod__right) ).
fof(fact_1150_zmod__simps_I3_J,axiom,
! [X5,X6,X273] : hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5),hAPP_int_int(div_mod_int(X6),X273))),X273) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5),X6)),X273),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1150_zmod__simps_I3_J) ).
fof(fact_1149_zmod__zmult1__eq,axiom,
! [X5,X6,X273] : hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5),X6)),X273) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5),hAPP_int_int(div_mod_int(X6),X273))),X273),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1149_zmod__zmult1__eq) ).
fof(fact_638_zcong__eq__trans,axiom,
! [X276,X273,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> ( X6 = X273
=> ( hBOOL(hAPP_int_bool(zcong(X273,X276),X177))
=> hBOOL(hAPP_int_bool(zcong(X5,X276),X177)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_638_zcong__eq__trans) ).
fof(fact_516_zero__less__power__nat__eq__number__of,axiom,
! [X7,X20] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X7),number_number_of_nat(X20))))
<=> ( number_number_of_nat(X20) = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_516_zero__less__power__nat__eq__number__of) ).
fof(fact_872_realpow__pos__nth,axiom,
! [X5,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X5))
=> ? [X429] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X429))
& hAPP_nat_real(power_power_real(X429),X176) = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_872_realpow__pos__nth) ).
fof(fact_564_zcong__trans,axiom,
! [X273,X5,X6,X177] :
( hBOOL(hAPP_int_bool(zcong(X5,X6),X177))
=> ( hBOOL(hAPP_int_bool(zcong(X6,X273),X177))
=> hBOOL(hAPP_int_bool(zcong(X5,X273),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_564_zcong__trans) ).
fof(fact_1162_neg__mod__conj,axiom,
! [X5,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X5),X6)),zero_zero_int))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),hAPP_int_int(div_mod_int(X5),X6))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1162_neg__mod__conj) ).
fof(fact_1161_neg__mod__sign,axiom,
! [X5,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X5),X6)),zero_zero_int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1161_neg__mod__sign) ).
fof(fact_1178_mod__less__divisor,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X177),X176)),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1178_mod__less__divisor) ).
fof(fact_1177_mod__le__divisor,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X177),X176)),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1177_mod__le__divisor) ).
fof(fact_1159_pos__mod__conj,axiom,
! [X5,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X5),X6)))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(X5),X6)),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1159_pos__mod__conj) ).
fof(fact_1138_pos__mod__bound,axiom,
! [X5,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X6))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(X5),X6)),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1138_pos__mod__bound) ).
fof(fact_1140_zmod__le__nonneg__dividend,axiom,
! [X23,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X177))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X177),X23)),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1140_zmod__le__nonneg__dividend) ).
fof(fact_86_zless__imp__add1__zle,axiom,
! [X17,X18] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X17),X18))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X17),one_one_int)),X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_zless__imp__add1__zle) ).
fof(fact_158_zless__add1__eq,axiom,
! [X20,X19] :
( ( is_int(X20)
& is_int(X19) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),hAPP_int_int(plus_plus_int(X19),one_one_int)))
<=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),X19))
| X20 = X19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_zless__add1__eq) ).
fof(fact_629_zcong__def,axiom,
! [X101,X102,X198] :
( hBOOL(hAPP_int_bool(zcong(X101,X102),X198))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X198),hAPP_int_int(minus_minus_int(X101),X102))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_629_zcong__def) ).
fof(fact_681_dvd__trans,axiom,
! [X305,X306,X307] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X306),X307))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X307),X305))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X306),X305)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_681_dvd__trans) ).
fof(fact_882_real__le__trans,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X24),X25))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X25),X23))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X24),X23)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_882_real__le__trans) ).
fof(fact_911_dvd_Oorder__trans,axiom,
! [X18,X21,X22] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X18))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X18)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_911_dvd_Oorder__trans) ).
fof(fact_682_dvd__trans,axiom,
! [X305,X306,X307] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X306),X307))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X307),X305))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X306),X305)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_682_dvd__trans) ).
fof(fact_940_le__trans,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X25),X23))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X23)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_940_le__trans) ).
fof(fact_683_dvd__trans,axiom,
! [X305,X306,X307] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X306),X307))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X307),X305))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X306),X305)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_683_dvd__trans) ).
fof(fact_39_zle__trans,axiom,
! [X23,X24,X25] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X24),X25))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X25),X23))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X24),X23)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_zle__trans) ).
fof(fact_992_dvd__reduce,axiom,
! [X38,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X38),hAPP_nat_nat(plus_plus_nat(X161),X38)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X38),X161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_992_dvd__reduce) ).
fof(fact_1016_diff__add__assoc2,axiom,
! [X24,X23,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X25))
=> hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X25),X24)),X23) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X25),X23)),X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1016_diff__add__assoc2) ).
fof(fact_1015_add__diff__assoc2,axiom,
! [X24,X23,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X25))
=> hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X25),X23)),X24) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X25),X24)),X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1015_add__diff__assoc2) ).
fof(fact_1039_dvd__imp__le,axiom,
! [X23,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X23),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1039_dvd__imp__le) ).
fof(fact_337_zdvd__imp__le,axiom,
! [X18,X176] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X18),X176))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X176))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X18),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_zdvd__imp__le) ).
fof(fact_959_zero__less__diff,axiom,
! [X161,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X161),X198)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_959_zero__less__diff) ).
fof(fact_1069_norR__mem__unique__aux,axiom,
! [X5,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5),hAPP_int_int(minus_minus_int(X6),one_one_int)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1069_norR__mem__unique__aux) ).
fof(fact_633_zle__diff1__eq,axiom,
! [X20,X19] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X20),hAPP_int_int(minus_minus_int(X19),one_one_int)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_633_zle__diff1__eq) ).
fof(fact_88_zle__add1__eq__le,axiom,
! [X20,X19] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),hAPP_int_int(plus_plus_int(X19),one_one_int)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X20),X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_zle__add1__eq__le) ).
fof(fact_946_eq__diff__iff,axiom,
! [X161,X38,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X38),X198))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X38),X161))
=> ( hAPP_nat_nat(minus_minus_nat(X198),X38) = hAPP_nat_nat(minus_minus_nat(X161),X38)
<=> X198 = X161 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_946_eq__diff__iff) ).
fof(fact_1023_le__cube,axiom,
! [X177] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),hAPP_nat_nat(times_times_nat(X177),hAPP_nat_nat(times_times_nat(X177),X177)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1023_le__cube) ).
fof(fact_515_zero__less__power__nat__eq,axiom,
! [X7,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X7),X161)))
<=> ( X161 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_515_zero__less__power__nat__eq) ).
fof(fact_514_nat__zero__less__power__iff,axiom,
! [X7,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X7),X161)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X7))
| X161 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_514_nat__zero__less__power__iff) ).
fof(fact_215_semiring__mult__number__of,axiom,
! [X112,X113] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X113))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X112))
=> hAPP_real_real(times_times_real(number267125858f_real(X113)),number267125858f_real(X112)) = number267125858f_real(hAPP_int_int(times_times_int(X113),X112)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_semiring__mult__number__of) ).
fof(fact_218_semiring__add__number__of,axiom,
! [X114,X115] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X115))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X114))
=> hAPP_real_real(plus_plus_real(number267125858f_real(X115)),number267125858f_real(X114)) = number267125858f_real(hAPP_int_int(plus_plus_int(X115),X114)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_semiring__add__number__of) ).
fof(fact_214_semiring__mult__number__of,axiom,
! [X112,X113] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X113))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X112))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X113)),number_number_of_nat(X112)) = number_number_of_nat(hAPP_int_int(times_times_int(X113),X112)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_semiring__mult__number__of) ).
fof(fact_217_semiring__add__number__of,axiom,
! [X114,X115] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X115))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X114))
=> hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X115)),number_number_of_nat(X114)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X115),X114)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_semiring__add__number__of) ).
fof(fact_213_semiring__mult__number__of,axiom,
! [X112,X113] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X113))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X112))
=> hAPP_int_int(times_times_int(number_number_of_int(X113)),number_number_of_int(X112)) = number_number_of_int(hAPP_int_int(times_times_int(X113),X112)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_semiring__mult__number__of) ).
fof(fact_216_semiring__add__number__of,axiom,
! [X114,X115] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X115))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X114))
=> hAPP_int_int(plus_plus_int(number_number_of_int(X115)),number_number_of_int(X114)) = number_number_of_int(hAPP_int_int(plus_plus_int(X115),X114)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_semiring__add__number__of) ).
fof(fact_1128_dvd__pos__nat,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X177),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1128_dvd__pos__nat) ).
fof(fact_508_zprime__def,axiom,
! [X262] :
( is_int(X262)
=> ( hBOOL(hAPP_int_bool(zprime,X262))
<=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X262))
& ! [X263] :
( is_int(X263)
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X263))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X263),X262)) )
=> ( X263 = one_one_int
| X263 = X262 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_508_zprime__def) ).
fof(fact_1157_zcong__zmod__eq,axiom,
! [X101,X102,X198] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X198))
=> ( hBOOL(hAPP_int_bool(zcong(X101,X102),X198))
<=> hAPP_int_int(div_mod_int(X101),X198) = hAPP_int_int(div_mod_int(X102),X198) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1157_zcong__zmod__eq) ).
fof(fact_1142_zmod__eq__dvd__iff,axiom,
! [X7,X161,X8] :
( hAPP_int_int(div_mod_int(X7),X161) = hAPP_int_int(div_mod_int(X8),X161)
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X161),hAPP_int_int(minus_minus_int(X7),X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1142_zmod__eq__dvd__iff) ).
fof(fact_240_mult__number__of__left,axiom,
! [X129,X130,X131] : hAPP_real_real(times_times_real(number267125858f_real(X129)),hAPP_real_real(times_times_real(number267125858f_real(X130)),X131)) = hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(times_times_int(X129),X130))),X131),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_mult__number__of__left) ).
fof(fact_630_add__number__of__diff1,axiom,
! [X291,X292,X293] : hAPP_real_real(plus_plus_real(number267125858f_real(X291)),hAPP_real_real(minus_minus_real(number267125858f_real(X292)),X293)) = hAPP_real_real(minus_minus_real(number267125858f_real(hAPP_int_int(plus_plus_int(X291),X292))),X293),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_630_add__number__of__diff1) ).
fof(fact_246_add__number__of__left,axiom,
! [X136,X137,X138] : hAPP_real_real(plus_plus_real(number267125858f_real(X136)),hAPP_real_real(plus_plus_real(number267125858f_real(X137)),X138)) = hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(X136),X137))),X138),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_add__number__of__left) ).
fof(fact_239_mult__number__of__left,axiom,
! [X129,X130,X131] : hAPP_int_int(times_times_int(number_number_of_int(X129)),hAPP_int_int(times_times_int(number_number_of_int(X130)),X131)) = hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(X129),X130))),X131),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_mult__number__of__left) ).
fof(fact_631_add__number__of__diff1,axiom,
! [X291,X292,X293] : hAPP_int_int(plus_plus_int(number_number_of_int(X291)),hAPP_int_int(minus_minus_int(number_number_of_int(X292)),X293)) = hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(X291),X292))),X293),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_631_add__number__of__diff1) ).
fof(fact_245_add__number__of__left,axiom,
! [X136,X137,X138] : hAPP_int_int(plus_plus_int(number_number_of_int(X136)),hAPP_int_int(plus_plus_int(number_number_of_int(X137)),X138)) = hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(X136),X137))),X138),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_add__number__of__left) ).
fof(fact_620_right__diff__distrib__number__of,axiom,
! [X285,X286,X287] : hAPP_real_real(times_times_real(number267125858f_real(X285)),hAPP_real_real(minus_minus_real(X286),X287)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(number267125858f_real(X285)),X286)),hAPP_real_real(times_times_real(number267125858f_real(X285)),X287)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_620_right__diff__distrib__number__of) ).
fof(fact_225_right__distrib__number__of,axiom,
! [X119,X120,X121] : hAPP_real_real(times_times_real(number267125858f_real(X119)),hAPP_real_real(plus_plus_real(X120),X121)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(number267125858f_real(X119)),X120)),hAPP_real_real(times_times_real(number267125858f_real(X119)),X121)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_right__distrib__number__of) ).
fof(fact_224_right__distrib__number__of,axiom,
! [X119,X120,X121] : hAPP_nat_nat(times_times_nat(number_number_of_nat(X119)),hAPP_nat_nat(plus_plus_nat(X120),X121)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(X119)),X120)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X119)),X121)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_right__distrib__number__of) ).
fof(fact_621_right__diff__distrib__number__of,axiom,
! [X285,X286,X287] : hAPP_int_int(times_times_int(number_number_of_int(X285)),hAPP_int_int(minus_minus_int(X286),X287)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(X285)),X286)),hAPP_int_int(times_times_int(number_number_of_int(X285)),X287)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_621_right__diff__distrib__number__of) ).
fof(fact_223_right__distrib__number__of,axiom,
! [X119,X120,X121] : hAPP_int_int(times_times_int(number_number_of_int(X119)),hAPP_int_int(plus_plus_int(X120),X121)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(X119)),X120)),hAPP_int_int(times_times_int(number_number_of_int(X119)),X121)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_right__distrib__number__of) ).
fof(fact_1014_diff__add__assoc,axiom,
! [X24,X23,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X25))
=> hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X24),X25)),X23) = hAPP_nat_nat(plus_plus_nat(X24),hAPP_nat_nat(minus_minus_nat(X25),X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1014_diff__add__assoc) ).
fof(fact_1006_diff__diff__right,axiom,
! [X24,X23,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X25))
=> hAPP_nat_nat(minus_minus_nat(X24),hAPP_nat_nat(minus_minus_nat(X25),X23)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X24),X23)),X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1006_diff__diff__right) ).
fof(fact_1010_add__diff__assoc,axiom,
! [X24,X23,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X25))
=> hAPP_nat_nat(plus_plus_nat(X24),hAPP_nat_nat(minus_minus_nat(X25),X23)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X24),X25)),X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1010_add__diff__assoc) ).
fof(fact_622_left__diff__distrib__number__of,axiom,
! [X288,X289,X290] : hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X288),X289)),number267125858f_real(X290)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X288),number267125858f_real(X290))),hAPP_real_real(times_times_real(X289),number267125858f_real(X290))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_622_left__diff__distrib__number__of) ).
fof(fact_222_left__distrib__number__of,axiom,
! [X116,X117,X118] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X116),X117)),number267125858f_real(X118)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X116),number267125858f_real(X118))),hAPP_real_real(times_times_real(X117),number267125858f_real(X118))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_left__distrib__number__of) ).
fof(fact_221_left__distrib__number__of,axiom,
! [X116,X117,X118] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X116),X117)),number_number_of_nat(X118)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X116),number_number_of_nat(X118))),hAPP_nat_nat(times_times_nat(X117),number_number_of_nat(X118))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_left__distrib__number__of) ).
fof(fact_623_left__diff__distrib__number__of,axiom,
! [X288,X289,X290] : hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X288),X289)),number_number_of_int(X290)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X288),number_number_of_int(X290))),hAPP_int_int(times_times_int(X289),number_number_of_int(X290))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_623_left__diff__distrib__number__of) ).
fof(fact_220_left__distrib__number__of,axiom,
! [X116,X117,X118] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X116),X117)),number_number_of_int(X118)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X116),number_number_of_int(X118))),hAPP_int_int(times_times_int(X117),number_number_of_int(X118))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_left__distrib__number__of) ).
fof(fact_1115_d22set__mem,axiom,
! [X101,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X102))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X102),X101))
=> hBOOL(member_int(X102,d22set(X101))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1115_d22set__mem) ).
fof(fact_744_dvd__mult2,axiom,
! [X344,X345,X346] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X345),X346))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X345),hAPP_real_real(times_times_real(X346),X344))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_744_dvd__mult2) ).
fof(fact_741_dvd__mult,axiom,
! [X341,X342,X343] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X342),X343))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X342),hAPP_real_real(times_times_real(X341),X343))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_741_dvd__mult) ).
fof(fact_745_dvd__mult2,axiom,
! [X344,X345,X346] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X345),X346))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X345),hAPP_nat_nat(times_times_nat(X346),X344))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_745_dvd__mult2) ).
fof(fact_742_dvd__mult,axiom,
! [X341,X342,X343] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X342),X343))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X342),hAPP_nat_nat(times_times_nat(X341),X343))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_742_dvd__mult) ).
fof(fact_977_trans__less__add1,axiom,
! [X177,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),hAPP_nat_nat(plus_plus_nat(X25),X177))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_977_trans__less__add1) ).
fof(fact_978_trans__less__add2,axiom,
! [X177,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),hAPP_nat_nat(plus_plus_nat(X177),X25))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_978_trans__less__add2) ).
fof(fact_999_trans__le__add1,axiom,
! [X177,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),hAPP_nat_nat(plus_plus_nat(X25),X177))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_999_trans__le__add1) ).
fof(fact_1000_trans__le__add2,axiom,
! [X177,X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X25))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),hAPP_nat_nat(plus_plus_nat(X177),X25))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1000_trans__le__add2) ).
fof(fact_746_dvd__mult2,axiom,
! [X344,X345,X346] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X345),X346))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X345),hAPP_int_int(times_times_int(X346),X344))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_746_dvd__mult2) ).
fof(fact_743_dvd__mult,axiom,
! [X341,X342,X343] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X342),X343))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X342),hAPP_int_int(times_times_int(X341),X343))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_743_dvd__mult) ).
fof(fact_654_zdvd__bounds,axiom,
! [X176,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X176),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X177),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X176),X177)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_654_zdvd__bounds) ).
fof(fact_727_add__diff__add,axiom,
! [X324,X325,X326,X327] : hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(X324),X325)),hAPP_real_real(plus_plus_real(X326),X327)) = hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(X324),X326)),hAPP_real_real(minus_minus_real(X325),X327)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_727_add__diff__add) ).
fof(fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
! [X42,X43,X44,X45] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X42),X43)),hAPP_real_real(times_times_real(X44),X45)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X42),X44)),hAPP_real_real(times_times_real(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] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X68),X69)),hAPP_real_real(plus_plus_real(X70),X71)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X68),X70)),hAPP_real_real(plus_plus_real(X69),X71)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).
fof(fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
! [X42,X43,X44,X45] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X42),X43)),hAPP_nat_nat(times_times_nat(X44),X45)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X42),X44)),hAPP_nat_nat(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] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X68),X69)),hAPP_nat_nat(plus_plus_nat(X70),X71)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X68),X70)),hAPP_nat_nat(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_728_add__diff__add,axiom,
! [X324,X325,X326,X327] : hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X324),X325)),hAPP_int_int(plus_plus_int(X326),X327)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X324),X326)),hAPP_int_int(minus_minus_int(X325),X327)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_728_add__diff__add) ).
fof(fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
! [X42,X43,X44,X45] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X42),X43)),hAPP_int_int(times_times_int(X44),X45)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X42),X44)),hAPP_int_int(times_times_int(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] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X68),X69)),hAPP_int_int(plus_plus_int(X70),X71)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X68),X70)),hAPP_int_int(plus_plus_int(X69),X71)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).
fof(fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
! [X50,X51,X52,X53] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X50),X51)),hAPP_real_real(times_times_real(X52),X53)) = hAPP_real_real(times_times_real(X50),hAPP_real_real(times_times_real(X51),hAPP_real_real(times_times_real(X52),X53))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).
fof(fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
! [X50,X51,X52,X53] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X50),X51)),hAPP_nat_nat(times_times_nat(X52),X53)) = hAPP_nat_nat(times_times_nat(X50),hAPP_nat_nat(times_times_nat(X51),hAPP_nat_nat(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] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X50),X51)),hAPP_int_int(times_times_int(X52),X53)) = hAPP_int_int(times_times_int(X50),hAPP_int_int(times_times_int(X51),hAPP_int_int(times_times_int(X52),X53))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).
fof(fact_1137_neg__mod__bound,axiom,
! [X5,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),hAPP_int_int(div_mod_int(X5),X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1137_neg__mod__bound) ).
fof(fact_1163_mod__neg__neg__trivial,axiom,
! [X6,X5] :
( is_int(X5)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5),zero_zero_int))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X5))
=> hAPP_int_int(div_mod_int(X5),X6) = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1163_mod__neg__neg__trivial) ).
fof(fact_556_dvd__power,axiom,
! [X271,X272] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X272))
| X271 = one_one_real )
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X271),hAPP_nat_real(power_power_real(X271),X272))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_556_dvd__power) ).
fof(fact_557_dvd__power,axiom,
! [X271,X272] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X272))
| X271 = one_one_nat )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X271),hAPP_nat_nat(power_power_nat(X271),X272))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_557_dvd__power) ).
fof(fact_558_dvd__power,axiom,
! [X271,X272] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X272))
| X271 = one_one_int )
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X271),hAPP_nat_int(power_power_int(X271),X272))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_558_dvd__power) ).
fof(fact_981_less__add__eq__less,axiom,
! [X177,X176,X23,X111] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X23),X111))
=> ( hAPP_nat_nat(plus_plus_nat(X177),X111) = hAPP_nat_nat(plus_plus_nat(X23),X176)
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_981_less__add__eq__less) ).
fof(fact_1160_mod__pos__pos__trivial,axiom,
! [X6,X5] :
( is_int(X5)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X6))
=> hAPP_int_int(div_mod_int(X5),X6) = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1160_mod__pos__pos__trivial) ).
fof(fact_370_zero__less__power,axiom,
! [X196,X197] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X197))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X197),X196))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_370_zero__less__power) ).
fof(fact_364_zero__le__power,axiom,
! [X191,X192] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X192))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X192),X191))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_364_zero__le__power) ).
fof(fact_485_one__le__power,axiom,
! [X249,X250] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X250))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(X250),X249))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_485_one__le__power) ).
fof(fact_369_zero__less__power,axiom,
! [X196,X197] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X197))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X197),X196))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_369_zero__less__power) ).
fof(fact_363_zero__le__power,axiom,
! [X191,X192] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X192))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X192),X191))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_363_zero__le__power) ).
fof(fact_486_one__le__power,axiom,
! [X249,X250] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X250))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X250),X249))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_486_one__le__power) ).
fof(fact_368_zero__less__power,axiom,
! [X196,X197] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X197))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X197),X196))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_368_zero__less__power) ).
fof(fact_589_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
! [X176,X21] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X21))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X21),X176))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_589_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J) ).
fof(fact_362_zero__le__power,axiom,
! [X191,X192] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X192))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X192),X191))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_zero__le__power) ).
fof(fact_1158_pos__mod__sign,axiom,
! [X5,X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X6))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X5),X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1158_pos__mod__sign) ).
fof(fact_487_one__le__power,axiom,
! [X249,X250] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X250))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_nat_int(power_power_int(X250),X249))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_487_one__le__power) ).
fof(fact_40_zle__antisym,axiom,
! [X18,X17] :
( ( is_int(X18)
& is_int(X17) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X18),X17))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X17),X18))
=> X18 = X17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_zle__antisym) ).
fof(fact_52_less__number__of,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X7)),number267125858f_real(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X7),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_less__number__of) ).
fof(fact_73_less__number__of__int__code,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X38)),number_number_of_int(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),X39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_less__number__of__int__code) ).
fof(fact_51_less__number__of,axiom,
! [X7,X8] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X7)),number_number_of_int(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X7),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_less__number__of) ).
fof(fact_54_le__number__of,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X7)),number267125858f_real(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X7),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_le__number__of) ).
fof(fact_74_less__eq__number__of__int__code,axiom,
! [X38,X39] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X38)),number_number_of_int(X39)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X38),X39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_less__eq__number__of__int__code) ).
fof(fact_53_le__number__of,axiom,
! [X7,X8] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X7)),number_number_of_int(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X7),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_le__number__of) ).
fof(fact_437_le__imp__0__less,axiom,
! [X18] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X18))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),X18))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_437_le__imp__0__less) ).
fof(fact_883_real__le__antisym,axiom,
! [X18,X17] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X18),X17))
=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X17),X18))
=> X18 = X17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_883_real__le__antisym) ).
fof(fact_924_dvd_Oeq__iff,axiom,
! [X7,X8] :
( X7 = X8
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X8),X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_924_dvd_Oeq__iff) ).
fof(fact_918_dvd_Oantisym__conv,axiom,
! [X8,X7] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X8),X7))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
<=> X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_918_dvd_Oantisym__conv) ).
fof(fact_913_dvd__antisym,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X177),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X176),X177))
=> X177 = X176 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_913_dvd__antisym) ).
fof(fact_912_dvd_Oantisym,axiom,
! [X21,X22] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X21))
=> X21 = X22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_912_dvd_Oantisym) ).
fof(fact_687_divides__antisym,axiom,
! [X7,X8] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X8),X7)) )
<=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_687_divides__antisym) ).
fof(fact_941_le__antisym,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X177))
=> X177 = X176 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_941_le__antisym) ).
fof(fact_1116_less__imp__add__positive,axiom,
! [X24,X25] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X25))
=> ? [X278] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X278))
& hAPP_nat_nat(plus_plus_nat(X24),X278) = X25 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1116_less__imp__add__positive) ).
fof(fact_888_nat__less__cases,axiom,
! [X73,X198,X161] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X73,X161),X198)) )
=> ( ( X198 = X161
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X73,X161),X198)) )
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X161),X198))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X73,X161),X198)) )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X73,X161),X198)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_888_nat__less__cases) ).
fof(fact_1183_le__mod__geq,axiom,
! [X176,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X177))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X177),X176)),X176) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1183_le__mod__geq) ).
fof(fact_1144_mod__mod__is__mod,axiom,
! [X21,X177] : hBOOL(hAPP_int_bool(zcong(X21,hAPP_int_int(div_mod_int(X21),X177)),X177)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1144_mod__mod__is__mod) ).
fof(fact_175_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
! [X93,X94,X95] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X93),X94)),hAPP_real_real(times_times_real(X95),X94)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X93),X95)),X94),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
fof(fact_174_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
! [X93,X94,X95] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X93),X94)),hAPP_nat_nat(times_times_nat(X95),X94)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X93),X95)),X94),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
fof(fact_173_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
! [X93,X94,X95] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X93),X94)),hAPP_int_int(times_times_int(X95),X94)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X93),X95)),X94),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
fof(fact_461_power__mult__distrib,axiom,
! [X231,X232,X233] : hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(X231),X232)),X233) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X231),X233)),hAPP_nat_real(power_power_real(X232),X233)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_461_power__mult__distrib) ).
fof(fact_192_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X108,X109,X110] : hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(X108),X109)),X110) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X108),X110)),hAPP_nat_real(power_power_real(X109),X110)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(fact_767_real__add__mult__distrib,axiom,
! [X88,X89,X17] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X88),X89)),X17) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X88),X17)),hAPP_real_real(times_times_real(X89),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_767_real__add__mult__distrib) ).
fof(fact_721_comm__semiring__class_Odistrib,axiom,
! [X320,X321,X322] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X320),X321)),X322) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X320),X322)),hAPP_real_real(times_times_real(X321),X322)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_721_comm__semiring__class_Odistrib) ).
fof(fact_178_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
! [X96,X97,X98] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X96),X97)),X98) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X96),X98)),hAPP_real_real(times_times_real(X97),X98)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
fof(fact_1185_mod__mult__distrib,axiom,
! [X177,X176,X23] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(div_mod_nat(X177),X176)),X23) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X177),X23)),hAPP_nat_nat(times_times_nat(X176),X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1185_mod__mult__distrib) ).
fof(fact_951_diff__mult__distrib,axiom,
! [X177,X176,X23] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X177),X176)),X23) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X177),X23)),hAPP_nat_nat(times_times_nat(X176),X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_951_diff__mult__distrib) ).
fof(fact_1017_add__mult__distrib,axiom,
! [X177,X176,X23] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X177),X176)),X23) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X177),X23)),hAPP_nat_nat(times_times_nat(X176),X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1017_add__mult__distrib) ).
fof(fact_722_comm__semiring__class_Odistrib,axiom,
! [X320,X321,X322] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X320),X321)),X322) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X320),X322)),hAPP_nat_nat(times_times_nat(X321),X322)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_722_comm__semiring__class_Odistrib) ).
fof(fact_177_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
! [X96,X97,X98] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X96),X97)),X98) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X96),X98)),hAPP_nat_nat(times_times_nat(X97),X98)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
fof(fact_460_power__mult__distrib,axiom,
! [X231,X232,X233] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X231),X232)),X233) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X231),X233)),hAPP_nat_nat(power_power_nat(X232),X233)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_460_power__mult__distrib) ).
fof(fact_193_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X108,X109,X110] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X108),X109)),X110) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X108),X110)),hAPP_nat_nat(power_power_nat(X109),X110)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(fact_462_power__mult__distrib,axiom,
! [X231,X232,X233] : hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(X231),X232)),X233) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X231),X233)),hAPP_nat_int(power_power_int(X232),X233)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_462_power__mult__distrib) ).
fof(fact_191_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X108,X109,X110] : hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(X108),X109)),X110) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X108),X110)),hAPP_nat_int(power_power_int(X109),X110)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(fact_617_zdiff__zmult__distrib,axiom,
! [X88,X89,X17] : hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X88),X89)),X17) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X88),X17)),hAPP_int_int(times_times_int(X89),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_617_zdiff__zmult__distrib) ).
fof(fact_723_comm__semiring__class_Odistrib,axiom,
! [X320,X321,X322] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X320),X321)),X322) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X320),X322)),hAPP_int_int(times_times_int(X321),X322)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_723_comm__semiring__class_Odistrib) ).
fof(fact_210_zadd__zmult__distrib,axiom,
! [X88,X89,X17] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X88),X89)),X17) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X88),X17)),hAPP_int_int(times_times_int(X89),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_zadd__zmult__distrib) ).
fof(fact_176_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
! [X96,X97,X98] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X96),X97)),X98) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X96),X98)),hAPP_int_int(times_times_int(X97),X98)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
fof(fact_1188_mod__less__eq__dividend,axiom,
! [X177,X176] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X177),X176)),X177)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1188_mod__less__eq__dividend) ).
fof(fact_942_Nat_Odiff__le__self,axiom,
! [X177,X176] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X177),X176)),X177)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_942_Nat_Odiff__le__self) ).
fof(fact_385_sum__squares__eq__zero__iff,axiom,
! [X7,X8] :
( ( is_int(X7)
& is_int(X8) )
=> ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X7),X7)),hAPP_int_int(times_times_int(X8),X8)) = zero_zero_int
<=> ( X7 = zero_zero_int
& X8 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_385_sum__squares__eq__zero__iff) ).
fof(fact_432_less__special_I3_J,axiom,
! [X7] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X7)),zero_zero_real))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X7),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_432_less__special_I3_J) ).
fof(fact_431_less__special_I3_J,axiom,
! [X7] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X7)),zero_zero_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X7),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_431_less__special_I3_J) ).
fof(fact_435_le__special_I3_J,axiom,
! [X7] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X7)),zero_zero_real))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X7),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_435_le__special_I3_J) ).
fof(fact_436_le__special_I3_J,axiom,
! [X7] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X7)),zero_zero_int))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X7),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_436_le__special_I3_J) ).
fof(fact_695_mult__eq__if,axiom,
! [X176,X177] :
( ( X177 = zero_zero_nat
=> hAPP_nat_nat(times_times_nat(X177),X176) = zero_zero_nat )
& ( X177 != zero_zero_nat
=> hAPP_nat_nat(times_times_nat(X177),X176) = hAPP_nat_nat(plus_plus_nat(X176),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X177),one_one_nat)),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_695_mult__eq__if) ).
fof(fact_1012_le__add__diff__inverse2,axiom,
! [X176,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X177))
=> hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X177),X176)),X176) = X177 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1012_le__add__diff__inverse2) ).
fof(fact_1136_zdvd__iff__zmod__eq__0__number__of,axiom,
! [X7,X8] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,number_number_of_int(X7)),number_number_of_int(X8)))
<=> hAPP_int_int(div_mod_int(number_number_of_int(X8)),number_number_of_int(X7)) = zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1136_zdvd__iff__zmod__eq__0__number__of) ).
fof(fact_866_real__two__squares__add__zero__iff,axiom,
! [X7,X8] :
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X7),X7)),hAPP_real_real(times_times_real(X8),X8)) = zero_zero_real
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_866_real__two__squares__add__zero__iff) ).
fof(fact_386_sum__squares__eq__zero__iff,axiom,
! [X7,X8] :
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X7),X7)),hAPP_real_real(times_times_real(X8),X8)) = zero_zero_real
<=> ( X7 = zero_zero_real
& X8 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_386_sum__squares__eq__zero__iff) ).
fof(fact_570_order__le__neq__implies__less,axiom,
! [X274,X275] :
( ( is_int(X274)
& is_int(X275) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X274),X275))
=> ( X274 != X275
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X274),X275)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_570_order__le__neq__implies__less) ).
fof(fact_37_zless__le,axiom,
! [X19,X20] :
( ( is_int(X19)
& is_int(X20) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X19),X20))
<=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X19),X20))
& X19 != X20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_zless__le) ).
fof(fact_387_add__scale__eq__noteq,axiom,
! [X209,X210,X211,X212,X213] :
( ( is_int(X209)
& is_int(X210)
& is_int(X213) )
=> ( X213 != zero_zero_int
=> ( ( X211 = X212
& X209 != X210 )
=> hAPP_int_int(plus_plus_int(X211),hAPP_int_int(times_times_int(X213),X209)) != hAPP_int_int(plus_plus_int(X212),hAPP_int_int(times_times_int(X213),X210)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_387_add__scale__eq__noteq) ).
fof(fact_562_zcong__sym,axiom,
! [X101,X102,X198] :
( hBOOL(hAPP_int_bool(zcong(X101,X102),X198))
<=> hBOOL(hAPP_int_bool(zcong(X102,X101),X198)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_562_zcong__sym) ).
fof(fact_1067_zprime__factor__exists,axiom,
! [X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5))
=> ? [X441] :
( is_int(X441)
& hBOOL(hAPP_int_bool(zprime,X441))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X441),X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1067_zprime__factor__exists) ).
fof(fact_430_less__special_I1_J,axiom,
! [X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_430_less__special_I1_J) ).
fof(fact_559_less__0__number__of,axiom,
! [X30] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X30)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_559_less__0__number__of) ).
fof(fact_429_less__special_I1_J,axiom,
! [X8] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_429_less__special_I1_J) ).
fof(fact_433_le__special_I1_J,axiom,
! [X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_433_le__special_I1_J) ).
fof(fact_434_le__special_I1_J,axiom,
! [X8] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X8)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_434_le__special_I1_J) ).
fof(fact_686_real__less__def,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X7),X8))
<=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X7),X8))
& X7 != X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_686_real__less__def) ).
fof(fact_685_less__eq__real__def,axiom,
! [X7,X8] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X7),X8))
<=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X7),X8))
| X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_685_less__eq__real__def) ).
fof(fact_568_order__le__neq__implies__less,axiom,
! [X274,X275] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X274),X275))
=> ( X274 != X275
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X274),X275)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_568_order__le__neq__implies__less) ).
fof(fact_988_le__neq__implies__less,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
=> ( X177 != X176
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_988_le__neq__implies__less) ).
fof(fact_986_le__eq__less__or__eq,axiom,
! [X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161))
| X198 = X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_986_le__eq__less__or__eq) ).
fof(fact_985_nat__less__le,axiom,
! [X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161))
& X198 != X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_985_nat__less__le) ).
fof(fact_569_order__le__neq__implies__less,axiom,
! [X274,X275] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X274),X275))
=> ( X274 != X275
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X274),X275)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_569_order__le__neq__implies__less) ).
fof(fact_1131_divides__le,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X177),X176))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
| X176 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1131_divides__le) ).
fof(fact_859_divides__ge,axiom,
! [X5,X6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
=> ( X6 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_859_divides__ge) ).
fof(fact_989_less__or__eq__imp__le,axiom,
! [X177,X176] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
| X177 = X176 )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_989_less__or__eq__imp__le) ).
fof(fact_987_less__imp__le__nat,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_987_less__imp__le__nat) ).
fof(fact_656_zcong__zero__equiv__div,axiom,
! [X101,X198] :
( hBOOL(hAPP_int_bool(zcong(X101,zero_zero_int),X198))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X198),X101)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_656_zcong__zero__equiv__div) ).
fof(fact_655_zcong__eq__zdvd__prop,axiom,
! [X7,X262] :
( hBOOL(hAPP_int_bool(zcong(X7,zero_zero_int),X262))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X262),X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_655_zcong__eq__zdvd__prop) ).
fof(fact_57_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
! [X33,X34,X35] : hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X33),X34)),hAPP_nat_real(power_power_real(X33),X35)) = hAPP_nat_real(power_power_real(X33),hAPP_nat_nat(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] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X33),X34)),hAPP_nat_nat(power_power_nat(X33),X35)) = hAPP_nat_nat(power_power_nat(X33),hAPP_nat_nat(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_56_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
! [X33,X34,X35] : hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X33),X34)),hAPP_nat_int(power_power_int(X33),X35)) = hAPP_nat_int(power_power_int(X33),hAPP_nat_nat(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_464_power__add,axiom,
! [X234,X235,X236] : hAPP_nat_real(power_power_real(X234),hAPP_nat_nat(plus_plus_nat(X235),X236)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X234),X235)),hAPP_nat_real(power_power_real(X234),X236)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_464_power__add) ).
fof(fact_184_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X103,X104,X105] : hAPP_real_real(times_times_real(X103),hAPP_real_real(plus_plus_real(X104),X105)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X103),X104)),hAPP_real_real(times_times_real(X103),X105)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
fof(fact_1186_mod__mult__distrib2,axiom,
! [X23,X177,X176] : hAPP_nat_nat(times_times_nat(X23),hAPP_nat_nat(div_mod_nat(X177),X176)) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X23),X177)),hAPP_nat_nat(times_times_nat(X23),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1186_mod__mult__distrib2) ).
fof(fact_952_diff__mult__distrib2,axiom,
! [X23,X177,X176] : hAPP_nat_nat(times_times_nat(X23),hAPP_nat_nat(minus_minus_nat(X177),X176)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X23),X177)),hAPP_nat_nat(times_times_nat(X23),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_952_diff__mult__distrib2) ).
fof(fact_1018_add__mult__distrib2,axiom,
! [X23,X177,X176] : hAPP_nat_nat(times_times_nat(X23),hAPP_nat_nat(plus_plus_nat(X177),X176)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X23),X177)),hAPP_nat_nat(times_times_nat(X23),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1018_add__mult__distrib2) ).
fof(fact_183_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X103,X104,X105] : hAPP_nat_nat(times_times_nat(X103),hAPP_nat_nat(plus_plus_nat(X104),X105)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X103),X104)),hAPP_nat_nat(times_times_nat(X103),X105)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
fof(fact_463_power__add,axiom,
! [X234,X235,X236] : hAPP_nat_nat(power_power_nat(X234),hAPP_nat_nat(plus_plus_nat(X235),X236)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X234),X235)),hAPP_nat_nat(power_power_nat(X234),X236)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_463_power__add) ).
fof(fact_465_power__add,axiom,
! [X234,X235,X236] : hAPP_nat_int(power_power_int(X234),hAPP_nat_nat(plus_plus_nat(X235),X236)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X234),X235)),hAPP_nat_int(power_power_int(X234),X236)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_465_power__add) ).
fof(fact_59_zpower__zadd__distrib,axiom,
! [X21,X22,X18] : hAPP_nat_int(power_power_int(X21),hAPP_nat_nat(plus_plus_nat(X22),X18)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X21),X22)),hAPP_nat_int(power_power_int(X21),X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_zpower__zadd__distrib) ).
fof(fact_616_zdiff__zmult__distrib2,axiom,
! [X17,X88,X89] : hAPP_int_int(times_times_int(X17),hAPP_int_int(minus_minus_int(X88),X89)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X17),X88)),hAPP_int_int(times_times_int(X17),X89)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_616_zdiff__zmult__distrib2) ).
fof(fact_211_zadd__zmult__distrib2,axiom,
! [X17,X88,X89] : hAPP_int_int(times_times_int(X17),hAPP_int_int(plus_plus_int(X88),X89)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X17),X88)),hAPP_int_int(times_times_int(X17),X89)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_zadd__zmult__distrib2) ).
fof(fact_182_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X103,X104,X105] : hAPP_int_int(times_times_int(X103),hAPP_int_int(plus_plus_int(X104),X105)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X103),X104)),hAPP_int_int(times_times_int(X103),X105)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
fof(fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [X54,X55,X56] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X54),X55)),X56) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X54),X56)),X55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).
fof(fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
! [X74,X75,X76] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X74),X75)),X76) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X74),X76)),X75),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) ).
fof(fact_879_diff__commute,axiom,
! [X24,X25,X23] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X24),X25)),X23) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X24),X23)),X25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_879_diff__commute) ).
fof(fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [X54,X55,X56] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X54),X55)),X56) = hAPP_nat_nat(times_times_nat(hAPP_nat_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_121_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
! [X74,X75,X76] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X74),X75)),X76) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X74),X76)),X75),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_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] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X54),X55)),X56) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X54),X56)),X55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).
fof(fact_120_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
! [X74,X75,X76] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X74),X75)),X76) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X74),X76)),X75),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) ).
fof(fact_1098_wset__mem__mem,axiom,
! [X262,X101] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X101))
=> hBOOL(member_int(X101,wset(X101,X262))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1098_wset__mem__mem) ).
fof(fact_389_add__scale__eq__noteq,axiom,
! [X209,X210,X211,X212,X213] :
( X213 != zero_zero_real
=> ( ( X211 = X212
& X209 != X210 )
=> hAPP_real_real(plus_plus_real(X211),hAPP_real_real(times_times_real(X213),X209)) != hAPP_real_real(plus_plus_real(X212),hAPP_real_real(times_times_real(X213),X210)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_389_add__scale__eq__noteq) ).
fof(fact_388_add__scale__eq__noteq,axiom,
! [X209,X210,X211,X212,X213] :
( X213 != zero_zero_nat
=> ( ( X211 = X212
& X209 != X210 )
=> hAPP_nat_nat(plus_plus_nat(X211),hAPP_nat_nat(times_times_nat(X213),X209)) != hAPP_nat_nat(plus_plus_nat(X212),hAPP_nat_nat(times_times_nat(X213),X210)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_388_add__scale__eq__noteq) ).
fof(fact_90_is__mult__sum2sq,axiom,
! [X22,X21] :
( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X21))
=> ( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X22))
=> hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(X21),X22))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_is__mult__sum2sq) ).
fof(fact_228_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [X122,X123] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X122),X123)),X123) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X122),one_one_real)),X123),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_227_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [X122,X123] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X122),X123)),X123) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X122),one_one_nat)),X123),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_226_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [X122,X123] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X122),X123)),X123) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X122),one_one_int)),X123),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_426_int__one__le__iff__zero__less,axiom,
! [X19] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X19))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_426_int__one__le__iff__zero__less) ).
fof(fact_945_diff__diff__cancel,axiom,
! [X24,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X176))
=> hAPP_nat_nat(minus_minus_nat(X176),hAPP_nat_nat(minus_minus_nat(X176),X24)) = X24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_945_diff__diff__cancel) ).
fof(fact_1009_le__add__diff__inverse,axiom,
! [X176,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X177))
=> hAPP_nat_nat(plus_plus_nat(X176),hAPP_nat_nat(minus_minus_nat(X177),X176)) = X177 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1009_le__add__diff__inverse) ).
fof(fact_491_power__inject__exp,axiom,
! [X198,X161,X101] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X101))
=> ( hAPP_nat_real(power_power_real(X101),X198) = hAPP_nat_real(power_power_real(X101),X161)
<=> X198 = X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_491_power__inject__exp) ).
fof(fact_1132_mult__left__cancel,axiom,
! [X176,X177,X23] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X23))
=> ( hAPP_nat_nat(times_times_nat(X23),X176) = hAPP_nat_nat(times_times_nat(X23),X177)
=> X176 = X177 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1132_mult__left__cancel) ).
fof(fact_1047_nat__mult__eq__cancel1,axiom,
! [X198,X161,X38] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X38))
=> ( hAPP_nat_nat(times_times_nat(X38),X198) = hAPP_nat_nat(times_times_nat(X38),X161)
<=> X198 = X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1047_nat__mult__eq__cancel1) ).
fof(fact_492_power__inject__exp,axiom,
! [X198,X161,X101] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X101))
=> ( hAPP_nat_nat(power_power_nat(X101),X198) = hAPP_nat_nat(power_power_nat(X101),X161)
<=> X198 = X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_492_power__inject__exp) ).
fof(fact_493_power__inject__exp,axiom,
! [X198,X161,X101] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X101))
=> ( hAPP_nat_int(power_power_int(X101),X198) = hAPP_nat_int(power_power_int(X101),X161)
<=> X198 = X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_493_power__inject__exp) ).
fof(fact_1013_le__imp__diff__is__add,axiom,
! [X38,X432,X433] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X432),X433))
=> ( hAPP_nat_nat(minus_minus_nat(X433),X432) = X38
<=> X433 = hAPP_nat_nat(plus_plus_nat(X38),X432) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1013_le__imp__diff__is__add) ).
fof(fact_38_zless__linear,axiom,
! [X21,X22] :
( ( is_int(X21)
& is_int(X22) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X21),X22))
| X21 = X22
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X22),X21)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_zless__linear) ).
fof(fact_997_le__iff__add,axiom,
! [X198,X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161))
<=> ? [X278] : X161 = hAPP_nat_nat(plus_plus_nat(X198),X278) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_997_le__iff__add) ).
fof(fact_427_pos__zmult__eq__1__iff,axiom,
! [X161,X198] :
( ( is_int(X161)
& is_int(X198) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X198))
=> ( hAPP_int_int(times_times_int(X198),X161) = one_one_int
<=> ( X198 = one_one_int
& X161 = one_one_int ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_427_pos__zmult__eq__1__iff) ).
fof(fact_264_numeral__1__eq__1,axiom,
number267125858f_real(bit1(pls)) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_numeral__1__eq__1) ).
fof(fact_262_semiring__numeral__1__eq__1,axiom,
number267125858f_real(bit1(pls)) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_semiring__numeral__1__eq__1) ).
fof(fact_261_semiring__numeral__1__eq__1,axiom,
number_number_of_nat(bit1(pls)) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_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_263_numeral__1__eq__1,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_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_266_semiring__norm_I110_J,axiom,
one_one_real = number267125858f_real(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_semiring__norm_I110_J) ).
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_267_one__is__num__one,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_one__is__num__one) ).
fof(fact_265_semiring__norm_I110_J,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_semiring__norm_I110_J) ).
fof(fact_1173_zmod__minus1,axiom,
! [X6] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X6))
=> hAPP_int_int(div_mod_int(number_number_of_int(min)),X6) = hAPP_int_int(minus_minus_int(X6),one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1173_zmod__minus1) ).
fof(fact_893_nat__neq__iff,axiom,
! [X198,X161] :
( X198 != X161
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X161))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X161),X198)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_893_nat__neq__iff) ).
fof(fact_935_Nat_Odiff__cancel,axiom,
! [X23,X177,X176] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X23),X177)),hAPP_nat_nat(plus_plus_nat(X23),X176)) = hAPP_nat_nat(minus_minus_nat(X177),X176),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_935_Nat_Odiff__cancel) ).
fof(fact_936_diff__cancel2,axiom,
! [X177,X23,X176] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X177),X23)),hAPP_nat_nat(plus_plus_nat(X176),X23)) = hAPP_nat_nat(minus_minus_nat(X177),X176),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_936_diff__cancel2) ).
fof(fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
! [X26,X27,X28] : hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X26),X27)),X28) = hAPP_nat_real(power_power_real(X26),hAPP_nat_nat(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_458_power__commutes,axiom,
! [X229,X230] : hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X229),X230)),X229) = hAPP_real_real(times_times_real(X229),hAPP_nat_real(power_power_real(X229),X230)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_458_power__commutes) ).
fof(fact_688_real__mult__assoc,axiom,
! [X88,X89,X90] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X88),X89)),X90) = hAPP_real_real(times_times_real(X88),hAPP_real_real(times_times_real(X89),X90)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_688_real__mult__assoc) ).
fof(fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
! [X57,X58,X59] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X57),X58)),X59) = hAPP_real_real(times_times_real(X57),hAPP_real_real(times_times_real(X58),X59)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
fof(fact_125_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
! [X77,X78,X79] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X77),X78)),X79) = hAPP_real_real(plus_plus_real(X77),hAPP_real_real(plus_plus_real(X78),X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_934_diff__diff__left,axiom,
! [X24,X25,X23] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X24),X25)),X23) = hAPP_nat_nat(minus_minus_nat(X24),hAPP_nat_nat(plus_plus_nat(X25),X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_934_diff__diff__left) ).
fof(fact_949_nat__mult__assoc,axiom,
! [X177,X176,X23] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X177),X176)),X23) = hAPP_nat_nat(times_times_nat(X177),hAPP_nat_nat(times_times_nat(X176),X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_949_nat__mult__assoc) ).
fof(fact_104_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
! [X57,X58,X59] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X57),X58)),X59) = hAPP_nat_nat(times_times_nat(X57),hAPP_nat_nat(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_457_power__commutes,axiom,
! [X229,X230] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X229),X230)),X229) = hAPP_nat_nat(times_times_nat(X229),hAPP_nat_nat(power_power_nat(X229),X230)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_457_power__commutes) ).
fof(fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
! [X26,X27,X28] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X26),X27)),X28) = hAPP_nat_nat(power_power_nat(X26),hAPP_nat_nat(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_929_nat__add__assoc,axiom,
! [X177,X176,X23] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X177),X176)),X23) = hAPP_nat_nat(plus_plus_nat(X177),hAPP_nat_nat(plus_plus_nat(X176),X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_929_nat__add__assoc) ).
fof(fact_124_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
! [X77,X78,X79] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X77),X78)),X79) = hAPP_nat_nat(plus_plus_nat(X77),hAPP_nat_nat(plus_plus_nat(X78),X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_47_zpower__zpower,axiom,
! [X21,X22,X18] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X21),X22)),X18) = hAPP_nat_int(power_power_int(X21),hAPP_nat_nat(times_times_nat(X22),X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_zpower__zpower) ).
fof(fact_41_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
! [X26,X27,X28] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X26),X27)),X28) = hAPP_nat_int(power_power_int(X26),hAPP_nat_nat(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_459_power__commutes,axiom,
! [X229,X230] : hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X229),X230)),X229) = hAPP_int_int(times_times_int(X229),hAPP_nat_int(power_power_int(X229),X230)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_459_power__commutes) ).
fof(fact_142_zmult__assoc,axiom,
! [X88,X89,X90] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X88),X89)),X90) = hAPP_int_int(times_times_int(X88),hAPP_int_int(times_times_int(X89),X90)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_zmult__assoc) ).
fof(fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
! [X57,X58,X59] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X57),X58)),X59) = hAPP_int_int(times_times_int(X57),hAPP_int_int(times_times_int(X58),X59)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
fof(fact_145_zadd__assoc,axiom,
! [X88,X89,X90] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X88),X89)),X90) = hAPP_int_int(plus_plus_int(X88),hAPP_int_int(plus_plus_int(X89),X90)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_zadd__assoc) ).
fof(fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
! [X77,X78,X79] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X77),X78)),X79) = hAPP_int_int(plus_plus_int(X77),hAPP_int_int(plus_plus_int(X78),X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_470_power__mult,axiom,
! [X238,X239,X240] : hAPP_nat_real(power_power_real(X238),hAPP_nat_nat(times_times_nat(X239),X240)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X238),X239)),X240),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_470_power__mult) ).
fof(fact_108_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
! [X60,X61,X62] : hAPP_real_real(times_times_real(X60),hAPP_real_real(times_times_real(X61),X62)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X60),X61)),X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(fact_128_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X80,X81,X82] : hAPP_real_real(plus_plus_real(X80),hAPP_real_real(plus_plus_real(X81),X82)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X80),X81)),X82),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_107_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
! [X60,X61,X62] : hAPP_nat_nat(times_times_nat(X60),hAPP_nat_nat(times_times_nat(X61),X62)) = hAPP_nat_nat(times_times_nat(hAPP_nat_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_469_power__mult,axiom,
! [X238,X239,X240] : hAPP_nat_nat(power_power_nat(X238),hAPP_nat_nat(times_times_nat(X239),X240)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X238),X239)),X240),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_469_power__mult) ).
fof(fact_127_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X80,X81,X82] : hAPP_nat_nat(plus_plus_nat(X80),hAPP_nat_nat(plus_plus_nat(X81),X82)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X80),X81)),X82),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_471_power__mult,axiom,
! [X238,X239,X240] : hAPP_nat_int(power_power_int(X238),hAPP_nat_nat(times_times_nat(X239),X240)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X238),X239)),X240),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_471_power__mult) ).
fof(fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
! [X60,X61,X62] : hAPP_int_int(times_times_int(X60),hAPP_int_int(times_times_int(X61),X62)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X60),X61)),X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
fof(fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
! [X80,X81,X82] : hAPP_int_int(plus_plus_int(X80),hAPP_int_int(plus_plus_int(X81),X82)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X80),X81)),X82),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_881_real__le__linear,axiom,
! [X18,X17] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X18),X17))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X17),X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_881_real__le__linear) ).
fof(fact_938_nat__le__linear,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_938_nat__le__linear) ).
fof(fact_36_zle__linear,axiom,
! [X18,X17] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X18),X17))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X17),X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_zle__linear) ).
fof(fact_750_dvd__triv__left,axiom,
! [X349,X350] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X349),hAPP_real_real(times_times_real(X349),X350))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_750_dvd__triv__left) ).
fof(fact_747_dvd__triv__right,axiom,
! [X347,X348] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X347),hAPP_real_real(times_times_real(X348),X347))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_747_dvd__triv__right) ).
fof(fact_751_dvd__triv__left,axiom,
! [X349,X350] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X349),hAPP_nat_nat(times_times_nat(X349),X350))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_751_dvd__triv__left) ).
fof(fact_748_dvd__triv__right,axiom,
! [X347,X348] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X347),hAPP_nat_nat(times_times_nat(X348),X347))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_748_dvd__triv__right) ).
fof(fact_1024_le__square,axiom,
! [X177] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),hAPP_nat_nat(times_times_nat(X177),X177))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1024_le__square) ).
fof(fact_996_le__add1,axiom,
! [X176,X177] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),hAPP_nat_nat(plus_plus_nat(X176),X177))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_996_le__add1) ).
fof(fact_995_le__add2,axiom,
! [X176,X177] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),hAPP_nat_nat(plus_plus_nat(X177),X176))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_995_le__add2) ).
fof(fact_752_dvd__triv__left,axiom,
! [X349,X350] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X349),hAPP_int_int(times_times_int(X349),X350))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_752_dvd__triv__left) ).
fof(fact_749_dvd__triv__right,axiom,
! [X347,X348] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X347),hAPP_int_int(times_times_int(X348),X347))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_749_dvd__triv__right) ).
fof(fact_696_power__eq__if,axiom,
! [X152,X177] :
( ( X177 = zero_zero_nat
=> hAPP_nat_nat(power_power_nat(X152),X177) = one_one_nat )
& ( X177 != zero_zero_nat
=> hAPP_nat_nat(power_power_nat(X152),X177) = hAPP_nat_nat(times_times_nat(X152),hAPP_nat_nat(power_power_nat(X152),hAPP_nat_nat(minus_minus_nat(X177),one_one_nat))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_696_power__eq__if) ).
fof(fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [X124,X125] : hAPP_real_real(plus_plus_real(X124),hAPP_real_real(times_times_real(X125),X124)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X125),one_one_real)),X124),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).
fof(fact_230_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [X124,X125] : hAPP_nat_nat(plus_plus_nat(X124),hAPP_nat_nat(times_times_nat(X125),X124)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X125),one_one_nat)),X124),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).
fof(fact_229_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [X124,X125] : hAPP_int_int(plus_plus_int(X124),hAPP_int_int(times_times_int(X125),X124)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X125),one_one_int)),X124),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_229_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).
fof(fact_812_zero__le__square,axiom,
! [X395] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X395),X395))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_812_zero__le__square) ).
fof(fact_813_zero__le__square,axiom,
! [X395] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X395),X395))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_813_zero__le__square) ).
fof(fact_1143_Residues_Oaux,axiom,
! [X21,X177,X22] :
( hAPP_int_int(div_mod_int(X21),X177) = hAPP_int_int(div_mod_int(X22),X177)
=> hBOOL(hAPP_int_bool(zcong(X21,X22),X177)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1143_Residues_Oaux) ).
fof(fact_1112_d22set__le,axiom,
! [X102,X101] :
( hBOOL(member_int(X102,d22set(X101)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X102),X101)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1112_d22set__le) ).
fof(fact_573_IntPrimes_Ozcong__zero,axiom,
! [X101,X102] :
( ( is_int(X101)
& is_int(X102) )
=> ( hBOOL(hAPP_int_bool(zcong(X101,X102),zero_zero_int))
<=> X101 = X102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_573_IntPrimes_Ozcong__zero) ).
fof(fact_1187_mod__less,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = X177 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1187_mod__less) ).
fof(fact_968_diff__is__0__eq,axiom,
! [X198,X161] :
( hAPP_nat_nat(minus_minus_nat(X198),X161) = zero_zero_nat
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_968_diff__is__0__eq) ).
fof(fact_967_diff__is__0__eq_H,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
=> hAPP_nat_nat(minus_minus_nat(X177),X176) = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_967_diff__is__0__eq_H) ).
fof(fact_1114_d22set__g__1,axiom,
! [X102,X101] :
( hBOOL(member_int(X102,d22set(X101)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X102)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1114_d22set__g__1) ).
fof(fact_405_odd__nonzero,axiom,
! [X18] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X18)),X18) != zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_405_odd__nonzero) ).
fof(fact_890_less__not__refl2,axiom,
! [X176,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),X177))
=> X177 != X176 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_890_less__not__refl2) ).
fof(fact_889_less__not__refl3,axiom,
! [X430,X431] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X430),X431))
=> X430 != X431 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_889_less__not__refl3) ).
fof(fact_954_gr__implies__not0,axiom,
! [X177,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> X176 != zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_954_gr__implies__not0) ).
fof(fact_560_eq__number__of__0,axiom,
! [X30] :
( number_number_of_nat(X30) = zero_zero_nat
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X30),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_560_eq__number__of__0) ).
fof(fact_561_eq__0__number__of,axiom,
! [X30] :
( zero_zero_nat = number_number_of_nat(X30)
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X30),pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_561_eq__0__number__of) ).
fof(fact_726_dvd__0__left,axiom,
! [X323] :
( is_int(X323)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,zero_zero_int),X323))
=> X323 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_726_dvd__0__left) ).
fof(fact_111_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [X63,X64,X65] : hAPP_real_real(times_times_real(X63),hAPP_real_real(times_times_real(X64),X65)) = hAPP_real_real(times_times_real(X64),hAPP_real_real(times_times_real(X63),X65)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
! [X83,X84,X85] : hAPP_real_real(plus_plus_real(X83),hAPP_real_real(plus_plus_real(X84),X85)) = hAPP_real_real(plus_plus_real(X84),hAPP_real_real(plus_plus_real(X83),X85)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
fof(fact_110_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [X63,X64,X65] : hAPP_nat_nat(times_times_nat(X63),hAPP_nat_nat(times_times_nat(X64),X65)) = hAPP_nat_nat(times_times_nat(X64),hAPP_nat_nat(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_928_nat__add__left__commute,axiom,
! [X21,X22,X18] : hAPP_nat_nat(plus_plus_nat(X21),hAPP_nat_nat(plus_plus_nat(X22),X18)) = hAPP_nat_nat(plus_plus_nat(X22),hAPP_nat_nat(plus_plus_nat(X21),X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_928_nat__add__left__commute) ).
fof(fact_130_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
! [X83,X84,X85] : hAPP_nat_nat(plus_plus_nat(X83),hAPP_nat_nat(plus_plus_nat(X84),X85)) = hAPP_nat_nat(plus_plus_nat(X84),hAPP_nat_nat(plus_plus_nat(X83),X85)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_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] : hAPP_int_int(times_times_int(X63),hAPP_int_int(times_times_int(X64),X65)) = hAPP_int_int(times_times_int(X64),hAPP_int_int(times_times_int(X63),X65)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(fact_146_zadd__left__commute,axiom,
! [X21,X22,X18] : hAPP_int_int(plus_plus_int(X21),hAPP_int_int(plus_plus_int(X22),X18)) = hAPP_int_int(plus_plus_int(X22),hAPP_int_int(plus_plus_int(X21),X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_zadd__left__commute) ).
fof(fact_129_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
! [X83,X84,X85] : hAPP_int_int(plus_plus_int(X83),hAPP_int_int(plus_plus_int(X84),X85)) = hAPP_int_int(plus_plus_int(X84),hAPP_int_int(plus_plus_int(X83),X85)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
fof(fact_965_le__0__eq,axiom,
! [X161] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X161),zero_zero_nat))
<=> X161 = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_965_le__0__eq) ).
fof(fact_1127_gcd__lcm__complete__lattice__nat_Ole__bot,axiom,
! [X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),one_one_nat))
=> X5 = one_one_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1127_gcd__lcm__complete__lattice__nat_Ole__bot) ).
fof(fact_1126_gcd__lcm__complete__lattice__nat_Obot__unique,axiom,
! [X101] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X101),one_one_nat))
<=> X101 = one_one_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1126_gcd__lcm__complete__lattice__nat_Obot__unique) ).
fof(fact_1019_nat__dvd__1__iff__1,axiom,
! [X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X198),one_one_nat))
<=> X198 = one_one_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1019_nat__dvd__1__iff__1) ).
fof(fact_956_neq0__conv,axiom,
! [X161] :
( X161 != zero_zero_nat
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_956_neq0__conv) ).
fof(fact_724_dvd__0__left,axiom,
! [X323] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),X323))
=> X323 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_724_dvd__0__left) ).
fof(fact_1119_gcd__lcm__complete__lattice__nat_Otop__unique,axiom,
! [X101] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X101))
<=> X101 = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1119_gcd__lcm__complete__lattice__nat_Otop__unique) ).
fof(fact_1118_gcd__lcm__complete__lattice__nat_Otop__le,axiom,
! [X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5))
=> X5 = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1118_gcd__lcm__complete__lattice__nat_Otop__le) ).
fof(fact_725_dvd__0__left,axiom,
! [X323] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X323))
=> X323 = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_725_dvd__0__left) ).
fof(fact_735_dvdI,axiom,
! [X334,X335,X336] :
( X334 = hAPP_real_real(times_times_real(X335),X336)
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X335),X334)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_735_dvdI) ).
fof(fact_736_dvdI,axiom,
! [X334,X335,X336] :
( X334 = hAPP_nat_nat(times_times_nat(X335),X336)
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X335),X334)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_736_dvdI) ).
fof(fact_737_dvdI,axiom,
! [X334,X335,X336] :
( X334 = hAPP_int_int(times_times_int(X335),X336)
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X335),X334)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_737_dvdI) ).
fof(fact_1060_is__sum2sq__def,axiom,
! [X7] :
( is_int(X7)
=> ( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X7))
<=> ? [X438,X439] :
( is_int(X438)
& is_int(X439)
& twoSqu1241645765sum2sq(product_Pair_int_int(X438,X439)) = X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1060_is__sum2sq__def) ).
fof(help_COMBS_1_1_COMBS_000tc__Int__Oint_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
! [X455,X454,X456] : hAPP_int_bool(cOMBS_int_bool_bool(X455,X454),X456) = hAPP_bool_bool(hAPP_i68813070l_bool(X455,X456),hAPP_int_bool(X454,X456)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Int__Oint_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(fact_67_rel__simps_I2_J,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_rel__simps_I2_J) ).
fof(fact_530_rel__simps_I3_J,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_530_rel__simps_I3_J) ).
fof(fact_399_bin__less__0__simps_I1_J,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_399_bin__less__0__simps_I1_J) ).
fof(fact_525_rel__simps_I7_J,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_525_rel__simps_I7_J) ).
fof(fact_536_rel__simps_I20_J,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_536_rel__simps_I20_J) ).
fof(fact_234_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X126] : hAPP_real_real(plus_plus_real(X126),X126) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),X126),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_233_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X126] : hAPP_nat_nat(plus_plus_nat(X126),X126) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)),X126),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X126] : hAPP_int_int(plus_plus_int(X126),X126) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),X126),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_933_diff__add__inverse,axiom,
! [X176,X177] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X176),X177)),X176) = X177,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_933_diff__add__inverse) ).
fof(fact_932_diff__add__inverse2,axiom,
! [X177,X176] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X177),X176)),X176) = X177,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_932_diff__add__inverse2) ).
fof(fact_1175_zmod__eq__0D,axiom,
! [X450,X451] :
( is_int(X450)
=> ( hAPP_int_int(div_mod_int(X450),X451) = zero_zero_int
=> ? [X444] :
( is_int(X444)
& X450 = hAPP_int_int(times_times_int(X451),X444) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1175_zmod__eq__0D) ).
fof(fact_1141_zmod__eq__0__iff,axiom,
! [X198,X100] :
( is_int(X198)
=> ( hAPP_int_int(div_mod_int(X198),X100) = zero_zero_int
<=> ? [X444] :
( is_int(X444)
& X198 = hAPP_int_int(times_times_int(X100),X444) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1141_zmod__eq__0__iff) ).
fof(fact_563_zcong__refl,axiom,
! [X23,X177] : hBOOL(hAPP_int_bool(zcong(X23,X23),X177)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_563_zcong__refl) ).
fof(fact_242_arith__simps_I32_J,axiom,
! [X132,X133] : hAPP_real_real(times_times_real(number267125858f_real(X132)),number267125858f_real(X133)) = number267125858f_real(hAPP_int_int(times_times_int(X132),X133)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_arith__simps_I32_J) ).
fof(fact_248_add__number__of__eq,axiom,
! [X139,X140] : hAPP_real_real(plus_plus_real(number267125858f_real(X139)),number267125858f_real(X140)) = number267125858f_real(hAPP_int_int(plus_plus_int(X139),X140)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_add__number__of__eq) ).
fof(fact_241_arith__simps_I32_J,axiom,
! [X132,X133] : hAPP_int_int(times_times_int(number_number_of_int(X132)),number_number_of_int(X133)) = number_number_of_int(hAPP_int_int(times_times_int(X132),X133)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_arith__simps_I32_J) ).
fof(fact_209_times__numeral__code_I5_J,axiom,
! [X41,X17] : hAPP_int_int(times_times_int(number_number_of_int(X41)),number_number_of_int(X17)) = number_number_of_int(hAPP_int_int(times_times_int(X41),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_times__numeral__code_I5_J) ).
fof(fact_247_add__number__of__eq,axiom,
! [X139,X140] : hAPP_int_int(plus_plus_int(number_number_of_int(X139)),number_number_of_int(X140)) = number_number_of_int(hAPP_int_int(plus_plus_int(X139),X140)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_add__number__of__eq) ).
fof(fact_212_plus__numeral__code_I9_J,axiom,
! [X41,X17] : hAPP_int_int(plus_plus_int(number_number_of_int(X41)),number_number_of_int(X17)) = number_number_of_int(hAPP_int_int(plus_plus_int(X41),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_plus__numeral__code_I9_J) ).
fof(fact_612_number__of__diff,axiom,
! [X283,X284] : number267125858f_real(hAPP_int_int(minus_minus_int(X283),X284)) = hAPP_real_real(minus_minus_real(number267125858f_real(X283)),number267125858f_real(X284)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_612_number__of__diff) ).
fof(fact_244_number__of__mult,axiom,
! [X134,X135] : number267125858f_real(hAPP_int_int(times_times_int(X134),X135)) = hAPP_real_real(times_times_real(number267125858f_real(X134)),number267125858f_real(X135)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_number__of__mult) ).
fof(fact_250_number__of__add,axiom,
! [X141,X142] : number267125858f_real(hAPP_int_int(plus_plus_int(X141),X142)) = hAPP_real_real(plus_plus_real(number267125858f_real(X141)),number267125858f_real(X142)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_number__of__add) ).
fof(fact_613_number__of__diff,axiom,
! [X283,X284] : number_number_of_int(hAPP_int_int(minus_minus_int(X283),X284)) = hAPP_int_int(minus_minus_int(number_number_of_int(X283)),number_number_of_int(X284)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_613_number__of__diff) ).
fof(fact_243_number__of__mult,axiom,
! [X134,X135] : number_number_of_int(hAPP_int_int(times_times_int(X134),X135)) = hAPP_int_int(times_times_int(number_number_of_int(X134)),number_number_of_int(X135)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_243_number__of__mult) ).
fof(fact_249_number__of__add,axiom,
! [X141,X142] : number_number_of_int(hAPP_int_int(plus_plus_int(X141),X142)) = hAPP_int_int(plus_plus_int(number_number_of_int(X141)),number_number_of_int(X142)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_number__of__add) ).
fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U,axiom,
! [X455,X454,X456] : hAPP_int_bool(cOMBC_int_int_bool(X455,X454),X456) = hAPP_int_bool(hAPP_i1948725293t_bool(X455,X456),X454),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
! [X455,X454,X456] : hAPP_i68813070l_bool(cOMBB_1652995168ol_int(X455,X454),X456) = hAPP_b589554111l_bool(X455,hAPP_int_bool(X454,X456)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).
fof(fact_919_dvd_Oeq__refl,axiom,
! [X21,X22] :
( X21 = X22
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_919_dvd_Oeq__refl) ).
fof(fact_939_eq__imp__le,axiom,
! [X177,X176] :
( X177 = X176
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_939_eq__imp__le) ).
fof(fact_1179_mod__eq__0__iff,axiom,
! [X198,X100] :
( hAPP_nat_nat(div_mod_nat(X198),X100) = zero_zero_nat
<=> ? [X444] : X198 = hAPP_nat_nat(times_times_nat(X100),X444) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1179_mod__eq__0__iff) ).
fof(fact_574_zcong__1,axiom,
! [X5,X6] : hBOOL(hAPP_int_bool(zcong(X5,X6),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_574_zcong__1) ).
fof(fact_118_mem__def,axiom,
! [X7,X72] :
( hBOOL(member_int(X7,X72))
<=> hBOOL(hAPP_int_bool(X72,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_mem__def) ).
fof(fact_520_Bit1__Min,axiom,
bit1(min) = min,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_520_Bit1__Min) ).
fof(fact_678_dvd__refl,axiom,
! [X304] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X304),X304)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_678_dvd__refl) ).
fof(fact_880_real__le__refl,axiom,
! [X17] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X17),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_880_real__le__refl) ).
fof(fact_877_dvd_Oorder__refl,axiom,
! [X21] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_877_dvd_Oorder__refl) ).
fof(fact_679_dvd__refl,axiom,
! [X304] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X304),X304)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_679_dvd__refl) ).
fof(fact_937_le__refl,axiom,
! [X176] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X176),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_937_le__refl) ).
fof(fact_680_dvd__refl,axiom,
! [X304] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X304),X304)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_680_dvd__refl) ).
fof(fact_35_zle__refl,axiom,
! [X17] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X17),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zle__refl) ).
fof(fact_643_zcong__id,axiom,
! [X177] : hBOOL(hAPP_int_bool(zcong(X177,zero_zero_int),X177)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_643_zcong__id) ).
fof(fact_672_dvd__0__right,axiom,
! [X301] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X301),zero_zero_real)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_672_dvd__0__right) ).
fof(fact_1121_gcd__lcm__complete__lattice__nat_Otop__greatest,axiom,
! [X5] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1121_gcd__lcm__complete__lattice__nat_Otop__greatest) ).
fof(fact_673_dvd__0__right,axiom,
! [X301] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X301),zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_673_dvd__0__right) ).
fof(fact_674_dvd__0__right,axiom,
! [X301] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X301),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_674_dvd__0__right) ).
fof(fact_953_gr0I,axiom,
! [X176] :
( X176 != zero_zero_nat
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_953_gr0I) ).
fof(fact_756_one__dvd,axiom,
! [X354] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,one_one_real),X354)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_756_one__dvd) ).
fof(fact_1124_gcd__lcm__complete__lattice__nat_Obot__least,axiom,
! [X5] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1124_gcd__lcm__complete__lattice__nat_Obot__least) ).
fof(fact_757_one__dvd,axiom,
! [X354] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X354)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_757_one__dvd) ).
fof(fact_966_less__eq__nat_Osimps_I1_J,axiom,
! [X176] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_966_less__eq__nat_Osimps_I1_J) ).
fof(fact_876_le0,axiom,
! [X176] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X176)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_876_le0) ).
fof(fact_758_one__dvd,axiom,
! [X354] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),X354)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_758_one__dvd) ).
fof(fact_761_real__mult__right__cancel,axiom,
! [X101,X102,X99] :
( X99 != zero_zero_real
=> ( hAPP_real_real(times_times_real(X101),X99) = hAPP_real_real(times_times_real(X102),X99)
<=> X101 = X102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_761_real__mult__right__cancel) ).
fof(fact_973_mult__cancel2,axiom,
! [X198,X38,X161] :
( hAPP_nat_nat(times_times_nat(X198),X38) = hAPP_nat_nat(times_times_nat(X161),X38)
<=> ( X198 = X161
| X38 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_973_mult__cancel2) ).
fof(fact_762_real__mult__left__cancel,axiom,
! [X101,X102,X99] :
( X99 != zero_zero_real
=> ( hAPP_real_real(times_times_real(X99),X101) = hAPP_real_real(times_times_real(X99),X102)
<=> X101 = X102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_762_real__mult__left__cancel) ).
fof(fact_1045_nat__mult__eq__cancel__disj,axiom,
! [X38,X198,X161] :
( hAPP_nat_nat(times_times_nat(X38),X198) = hAPP_nat_nat(times_times_nat(X38),X161)
<=> ( X38 = zero_zero_nat
| X198 = X161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1045_nat__mult__eq__cancel__disj) ).
fof(fact_972_mult__cancel1,axiom,
! [X38,X198,X161] :
( hAPP_nat_nat(times_times_nat(X38),X198) = hAPP_nat_nat(times_times_nat(X38),X161)
<=> ( X198 = X161
| X38 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_972_mult__cancel1) ).
fof(fact_887_diffs0__imp__equal,axiom,
! [X177,X176] :
( hAPP_nat_nat(minus_minus_nat(X177),X176) = zero_zero_nat
=> ( hAPP_nat_nat(minus_minus_nat(X176),X177) = zero_zero_nat
=> X177 = X176 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_887_diffs0__imp__equal) ).
fof(fact_931_nat__add__right__cancel,axiom,
! [X198,X38,X161] :
( hAPP_nat_nat(plus_plus_nat(X198),X38) = hAPP_nat_nat(plus_plus_nat(X161),X38)
<=> X198 = X161 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_931_nat__add__right__cancel) ).
fof(fact_930_nat__add__left__cancel,axiom,
! [X38,X198,X161] :
( hAPP_nat_nat(plus_plus_nat(X38),X198) = hAPP_nat_nat(plus_plus_nat(X38),X161)
<=> X198 = X161 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_930_nat__add__left__cancel) ).
fof(fact_611_Int2_Oaux1,axiom,
! [X5,X6,X273] :
( is_int(X5)
=> ( hAPP_int_int(minus_minus_int(X5),X6) = X273
=> X5 = hAPP_int_int(plus_plus_int(X273),X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_611_Int2_Oaux1) ).
fof(fact_964_diff__add__0,axiom,
! [X176,X177] : hAPP_nat_nat(minus_minus_nat(X176),hAPP_nat_nat(plus_plus_nat(X176),X177)) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_964_diff__add__0) ).
fof(fact_584_power__eq__0__iff__number__of,axiom,
! [X101,X20] :
( is_int(X101)
=> ( hAPP_nat_int(power_power_int(X101),number_number_of_nat(X20)) = zero_zero_int
<=> ( X101 = zero_zero_int
& number_number_of_nat(X20) != zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_584_power__eq__0__iff__number__of) ).
fof(fact_660_neg__one__power,axiom,
! [X176] :
( hAPP_nat_int(power_power_int(number_number_of_int(min)),X176) = one_one_int
| hAPP_nat_int(power_power_int(number_number_of_int(min)),X176) = number_number_of_int(min) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_660_neg__one__power) ).
fof(fact_552_zmult__eq__1__iff,axiom,
! [X198,X161] :
( ( is_int(X198)
& is_int(X161) )
=> ( hAPP_int_int(times_times_int(X198),X161) = one_one_int
<=> ( ( X198 = one_one_int
& X161 = one_one_int )
| ( X198 = number_number_of_int(min)
& X161 = number_number_of_int(min) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_552_zmult__eq__1__iff) ).
fof(fact_705_mult__eq__0__iff,axiom,
! [X101,X102] :
( ( is_int(X101)
& is_int(X102) )
=> ( hAPP_int_int(times_times_int(X101),X102) = zero_zero_int
<=> ( X101 = zero_zero_int
| X102 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_705_mult__eq__0__iff) ).
fof(fact_700_divisors__zero,axiom,
! [X310,X311] :
( ( is_int(X310)
& is_int(X311) )
=> ( hAPP_int_int(times_times_int(X310),X311) = zero_zero_int
=> ( X310 = zero_zero_int
| X311 = zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_700_divisors__zero) ).
fof(fact_703_no__zero__divisors,axiom,
! [X312,X313] :
( ( is_int(X312)
& is_int(X313) )
=> ( X313 != zero_zero_int
=> ( X312 != zero_zero_int
=> hAPP_int_int(times_times_int(X313),X312) != zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_703_no__zero__divisors) ).
fof(fact_353_add__0__iff,axiom,
! [X102,X101] :
( ( is_int(X102)
& is_int(X101) )
=> ( X102 = hAPP_int_int(plus_plus_int(X102),X101)
<=> X101 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_353_add__0__iff) ).
fof(fact_582_power__eq__0__iff__number__of,axiom,
! [X101,X20] :
( hAPP_nat_real(power_power_real(X101),number_number_of_nat(X20)) = zero_zero_real
<=> ( X101 = zero_zero_real
& number_number_of_nat(X20) != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_582_power__eq__0__iff__number__of) ).
fof(fact_583_power__eq__0__iff__number__of,axiom,
! [X101,X20] :
( hAPP_nat_nat(power_power_nat(X101),number_number_of_nat(X20)) = zero_zero_nat
<=> ( X101 = zero_zero_nat
& number_number_of_nat(X20) != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_583_power__eq__0__iff__number__of) ).
fof(fact_551_pos__zmult__eq__1__iff__lemma,axiom,
! [X177,X176] :
( is_int(X177)
=> ( hAPP_int_int(times_times_int(X177),X176) = one_one_int
=> ( X177 = one_one_int
| X177 = number_number_of_int(min) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_551_pos__zmult__eq__1__iff__lemma) ).
fof(gsy_c_WilsonRuss_Oinv,axiom,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(inv(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_WilsonRuss_Oinv) ).
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_Int2_OMultInv,axiom,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(multInv(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Int2_OMultInv) ).
fof(fact_311_power__eq__0__iff,axiom,
! [X101,X161] :
( is_int(X101)
=> ( hAPP_nat_int(power_power_int(X101),X161) = zero_zero_int
<=> ( X101 = zero_zero_int
& X161 != zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_power__eq__0__iff) ).
fof(fact_332_field__power__not__zero,axiom,
! [X181,X182] :
( is_int(X182)
=> ( X182 != zero_zero_int
=> hAPP_nat_int(power_power_int(X182),X181) != zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_field__power__not__zero) ).
fof(fact_356_double__eq__0__iff,axiom,
! [X101] :
( is_int(X101)
=> ( hAPP_int_int(plus_plus_int(X101),X101) = zero_zero_int
<=> X101 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_356_double__eq__0__iff) ).
fof(fact_689_real__mult__commute,axiom,
! [X18,X17] : hAPP_real_real(times_times_real(X18),X17) = hAPP_real_real(times_times_real(X17),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_689_real__mult__commute) ).
fof(fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X66,X67] : hAPP_real_real(times_times_real(X66),X67) = hAPP_real_real(times_times_real(X67),X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_134_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X86,X87] : hAPP_real_real(plus_plus_real(X86),X87) = hAPP_real_real(plus_plus_real(X87),X86),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_950_nat__mult__commute,axiom,
! [X177,X176] : hAPP_nat_nat(times_times_nat(X177),X176) = hAPP_nat_nat(times_times_nat(X176),X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_950_nat__mult__commute) ).
fof(fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X66,X67] : hAPP_nat_nat(times_times_nat(X66),X67) = hAPP_nat_nat(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_927_nat__add__commute,axiom,
! [X177,X176] : hAPP_nat_nat(plus_plus_nat(X177),X176) = hAPP_nat_nat(plus_plus_nat(X176),X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_927_nat__add__commute) ).
fof(fact_133_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X86,X87] : hAPP_nat_nat(plus_plus_nat(X86),X87) = hAPP_nat_nat(plus_plus_nat(X87),X86),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_143_zmult__commute,axiom,
! [X18,X17] : hAPP_int_int(times_times_int(X18),X17) = hAPP_int_int(times_times_int(X17),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_zmult__commute) ).
fof(fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X66,X67] : hAPP_int_int(times_times_int(X66),X67) = hAPP_int_int(times_times_int(X67),X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_147_zadd__commute,axiom,
! [X18,X17] : hAPP_int_int(plus_plus_int(X18),X17) = hAPP_int_int(plus_plus_int(X17),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_zadd__commute) ).
fof(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X86,X87] : hAPP_int_int(plus_plus_int(X86),X87) = hAPP_int_int(plus_plus_int(X87),X86),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(gsy_c_member_000tc__Int__Oint,axiom,
! [X1,X2] :
( is_int(X1)
=> is_bool(member_int(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_member_000tc__Int__Oint) ).
fof(gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool,axiom,
! [X1,X2] :
( is_int(X2)
=> is_bool(hAPP_int_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_bool(hAPP_bool_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint,hypothesis,
! [X1,X2] :
( is_int(X2)
=> is_int(hAPP_int_int(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint) ).
fof(fact_1038_mult__eq__self__implies__10,axiom,
! [X177,X176] :
( X177 = hAPP_nat_nat(times_times_nat(X177),X176)
=> ( X176 = one_one_nat
| X177 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1038_mult__eq__self__implies__10) ).
fof(fact_704_mult__eq__0__iff,axiom,
! [X101,X102] :
( hAPP_real_real(times_times_real(X101),X102) = zero_zero_real
<=> ( X101 = zero_zero_real
| X102 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_704_mult__eq__0__iff) ).
fof(fact_701_no__zero__divisors,axiom,
! [X312,X313] :
( X313 != zero_zero_real
=> ( X312 != zero_zero_real
=> hAPP_real_real(times_times_real(X313),X312) != zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_701_no__zero__divisors) ).
fof(fact_698_divisors__zero,axiom,
! [X310,X311] :
( hAPP_real_real(times_times_real(X310),X311) = zero_zero_real
=> ( X310 = zero_zero_real
| X311 = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_698_divisors__zero) ).
fof(fact_971_mult__is__0,axiom,
! [X198,X161] :
( hAPP_nat_nat(times_times_nat(X198),X161) = zero_zero_nat
<=> ( X198 = zero_zero_nat
| X161 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_971_mult__is__0) ).
fof(fact_702_no__zero__divisors,axiom,
! [X312,X313] :
( X313 != zero_zero_nat
=> ( X312 != zero_zero_nat
=> hAPP_nat_nat(times_times_nat(X313),X312) != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_702_no__zero__divisors) ).
fof(fact_699_divisors__zero,axiom,
! [X310,X311] :
( hAPP_nat_nat(times_times_nat(X310),X311) = zero_zero_nat
=> ( X310 = zero_zero_nat
| X311 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_699_divisors__zero) ).
fof(fact_869_exp__eq__1,axiom,
! [X7,X161] :
( hAPP_nat_nat(power_power_nat(X7),X161) = one_one_nat
<=> ( X7 = one_one_nat
| X161 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_869_exp__eq__1) ).
fof(fact_960_add__eq__self__zero,axiom,
! [X177,X176] :
( hAPP_nat_nat(plus_plus_nat(X177),X176) = X177
=> X176 = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_960_add__eq__self__zero) ).
fof(fact_355_add__0__iff,axiom,
! [X102,X101] :
( X102 = hAPP_real_real(plus_plus_real(X102),X101)
<=> X101 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_355_add__0__iff) ).
fof(fact_354_add__0__iff,axiom,
! [X102,X101] :
( X102 = hAPP_nat_nat(plus_plus_nat(X102),X101)
<=> X101 = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_354_add__0__iff) ).
fof(fact_313_power__eq__0__iff,axiom,
! [X101,X161] :
( hAPP_nat_real(power_power_real(X101),X161) = zero_zero_real
<=> ( X101 = zero_zero_real
& X161 != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_313_power__eq__0__iff) ).
fof(fact_768_nat__power__eq__0__iff,axiom,
! [X198,X161] :
( hAPP_nat_nat(power_power_nat(X198),X161) = zero_zero_nat
<=> ( X161 != zero_zero_nat
& X198 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_768_nat__power__eq__0__iff) ).
fof(fact_312_power__eq__0__iff,axiom,
! [X101,X161] :
( hAPP_nat_nat(power_power_nat(X101),X161) = zero_zero_nat
<=> ( X101 = zero_zero_nat
& X161 != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_312_power__eq__0__iff) ).
fof(fact_235_add__numeral__0,axiom,
! [X127] :
( is_int(X127)
=> hAPP_int_int(plus_plus_int(number_number_of_int(pls)),X127) = X127 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_add__numeral__0) ).
fof(fact_333_field__power__not__zero,axiom,
! [X181,X182] :
( X182 != zero_zero_real
=> hAPP_nat_real(power_power_real(X182),X181) != zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_333_field__power__not__zero) ).
fof(fact_357_double__eq__0__iff,axiom,
! [X101] :
( hAPP_real_real(plus_plus_real(X101),X101) = zero_zero_real
<=> X101 = zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_357_double__eq__0__iff) ).
fof(fact_961_add__is__0,axiom,
! [X198,X161] :
( hAPP_nat_nat(plus_plus_nat(X198),X161) = zero_zero_nat
<=> ( X198 = zero_zero_nat
& X161 = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_961_add__is__0) ).
fof(fact_1025_nat__mult__eq__1__iff,axiom,
! [X198,X161] :
( hAPP_nat_nat(times_times_nat(X198),X161) = one_one_nat
<=> ( X198 = one_one_nat
& X161 = one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1025_nat__mult__eq__1__iff) ).
fof(fact_766_nat__mult__eq__one,axiom,
! [X161,X198] :
( hAPP_nat_nat(times_times_nat(X161),X198) = one_one_nat
<=> ( X161 = one_one_nat
& X198 = one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_766_nat__mult__eq__one) ).
fof(fact_1027_nat__1__eq__mult__iff,axiom,
! [X198,X161] :
( one_one_nat = hAPP_nat_nat(times_times_nat(X198),X161)
<=> ( X198 = one_one_nat
& X161 = one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1027_nat__1__eq__mult__iff) ).
fof(fact_237_add__numeral__0__right,axiom,
! [X128] :
( is_int(X128)
=> hAPP_int_int(plus_plus_int(X128),number_number_of_int(pls)) = X128 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_add__numeral__0__right) ).
fof(fact_591_power__0__left__number__of,axiom,
! [X279] :
( ( number_number_of_nat(X279) = zero_zero_nat
=> hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(X279)) = one_one_real )
& ( number_number_of_nat(X279) != zero_zero_nat
=> hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(X279)) = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_591_power__0__left__number__of) ).
fof(fact_592_power__0__left__number__of,axiom,
! [X279] :
( ( number_number_of_nat(X279) = zero_zero_nat
=> hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(X279)) = one_one_nat )
& ( number_number_of_nat(X279) != zero_zero_nat
=> hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(X279)) = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_592_power__0__left__number__of) ).
fof(fact_593_power__0__left__number__of,axiom,
! [X279] :
( ( number_number_of_nat(X279) = zero_zero_nat
=> hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(X279)) = one_one_int )
& ( number_number_of_nat(X279) != zero_zero_nat
=> hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(X279)) = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_593_power__0__left__number__of) ).
fof(gsy_c_hAPP_000tc__RealDef__Oreal_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_real_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__RealDef__Oreal_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_nat_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint,hypothesis,
! [X1,X2] : is_int(hAPP_nat_int(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint) ).
fof(fact_136_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_136_eq__number__of) ).
fof(fact_135_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_135_eq__number__of) ).
fof(fact_236_add__numeral__0,axiom,
! [X127] : hAPP_real_real(plus_plus_real(number267125858f_real(pls)),X127) = X127,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_add__numeral__0) ).
fof(fact_423_power__one__right,axiom,
! [X222] :
( is_int(X222)
=> hAPP_nat_int(power_power_int(X222),one_one_nat) = X222 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_423_power__one__right) ).
fof(fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X29] :
( is_int(X29)
=> hAPP_nat_int(power_power_int(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_614_diff__bin__simps_I1_J,axiom,
! [X23] :
( is_int(X23)
=> hAPP_int_int(minus_minus_int(X23),pls) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_614_diff__bin__simps_I1_J) ).
fof(fact_207_zmult__1__right,axiom,
! [X18] :
( is_int(X18)
=> hAPP_int_int(times_times_int(X18),one_one_int) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_zmult__1__right) ).
fof(fact_185_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X106] :
( is_int(X106)
=> hAPP_int_int(times_times_int(X106),one_one_int) = X106 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(fact_203_add__Pls__right,axiom,
! [X23] :
( is_int(X23)
=> hAPP_int_int(plus_plus_int(X23),pls) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_add__Pls__right) ).
fof(fact_361_zadd__0__right,axiom,
! [X18] :
( is_int(X18)
=> hAPP_int_int(plus_plus_int(X18),zero_zero_int) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_361_zadd__0__right) ).
fof(fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X190] :
( is_int(X190)
=> hAPP_int_int(plus_plus_int(X190),zero_zero_int) = X190 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_208_zmult__1,axiom,
! [X18] :
( is_int(X18)
=> hAPP_int_int(times_times_int(one_one_int),X18) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_zmult__1) ).
fof(fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X107] :
( is_int(X107)
=> hAPP_int_int(times_times_int(one_one_int),X107) = X107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(fact_204_add__Pls,axiom,
! [X23] :
( is_int(X23)
=> hAPP_int_int(plus_plus_int(pls),X23) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_add__Pls) ).
fof(fact_360_zadd__0,axiom,
! [X18] :
( is_int(X18)
=> hAPP_int_int(plus_plus_int(zero_zero_int),X18) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_360_zadd__0) ).
fof(fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X189] :
( is_int(X189)
=> hAPP_int_int(plus_plus_int(zero_zero_int),X189) = X189 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(fact_238_add__numeral__0__right,axiom,
! [X128] : hAPP_real_real(plus_plus_real(X128),number267125858f_real(pls)) = X128,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_add__numeral__0__right) ).
fof(fact_1155_zmod__minus1__right,axiom,
! [X5] : hAPP_int_int(div_mod_int(X5),number_number_of_int(min)) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1155_zmod__minus1__right) ).
fof(fact_886_diff__self__eq__0,axiom,
! [X177] : hAPP_nat_nat(minus_minus_nat(X177),X177) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_886_diff__self__eq__0) ).
fof(fact_1151_zmod__self,axiom,
! [X5] : hAPP_int_int(div_mod_int(X5),X5) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1151_zmod__self) ).
fof(fact_336_power__0__left,axiom,
! [X183] :
( ( X183 = zero_zero_nat
=> hAPP_nat_real(power_power_real(zero_zero_real),X183) = one_one_real )
& ( X183 != zero_zero_nat
=> hAPP_nat_real(power_power_real(zero_zero_real),X183) = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_336_power__0__left) ).
fof(fact_335_power__0__left,axiom,
! [X183] :
( ( X183 = zero_zero_nat
=> hAPP_nat_nat(power_power_nat(zero_zero_nat),X183) = one_one_nat )
& ( X183 != zero_zero_nat
=> hAPP_nat_nat(power_power_nat(zero_zero_nat),X183) = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_power__0__left) ).
fof(fact_334_power__0__left,axiom,
! [X183] :
( ( X183 = zero_zero_nat
=> hAPP_nat_int(power_power_int(zero_zero_int),X183) = one_one_int )
& ( X183 != zero_zero_nat
=> hAPP_nat_int(power_power_int(zero_zero_int),X183) = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_334_power__0__left) ).
fof(fact_424_power__one__right,axiom,
! [X222] : hAPP_nat_real(power_power_real(X222),one_one_nat) = X222,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_424_power__one__right) ).
fof(fact_45_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X29] : hAPP_nat_real(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_187_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X106] : hAPP_real_real(times_times_real(X106),one_one_real) = X106,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(fact_352_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X190] : hAPP_real_real(plus_plus_real(X190),zero_zero_real) = X190,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_352_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_885_minus__nat_Odiff__0,axiom,
! [X177] : hAPP_nat_nat(minus_minus_nat(X177),zero_zero_nat) = X177,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_885_minus__nat_Odiff__0) ).
fof(fact_1026_nat__mult__1__right,axiom,
! [X176] : hAPP_nat_nat(times_times_nat(X176),one_one_nat) = X176,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1026_nat__mult__1__right) ).
fof(fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X106] : hAPP_nat_nat(times_times_nat(X106),one_one_nat) = X106,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(fact_425_power__one__right,axiom,
! [X222] : hAPP_nat_nat(power_power_nat(X222),one_one_nat) = X222,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_425_power__one__right) ).
fof(fact_46_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X29] : hAPP_nat_nat(power_power_nat(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_962_Nat_Oadd__0__right,axiom,
! [X177] : hAPP_nat_nat(plus_plus_nat(X177),zero_zero_nat) = X177,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_962_Nat_Oadd__0__right) ).
fof(fact_351_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X190] : hAPP_nat_nat(plus_plus_nat(X190),zero_zero_nat) = X190,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_351_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_544_power__0,axiom,
! [X268] : hAPP_nat_real(power_power_real(X268),zero_zero_nat) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_544_power__0) ).
fof(fact_541_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X267] : hAPP_nat_real(power_power_real(X267),zero_zero_nat) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_541_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_706_mult__zero__right,axiom,
! [X314] : hAPP_real_real(times_times_real(X314),zero_zero_real) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_706_mult__zero__right) ).
fof(fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X188] : hAPP_real_real(times_times_real(X188),zero_zero_real) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_970_mult__0__right,axiom,
! [X177] : hAPP_nat_nat(times_times_nat(X177),zero_zero_nat) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_970_mult__0__right) ).
fof(fact_707_mult__zero__right,axiom,
! [X314] : hAPP_nat_nat(times_times_nat(X314),zero_zero_nat) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_707_mult__zero__right) ).
fof(fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X188] : hAPP_nat_nat(times_times_nat(X188),zero_zero_nat) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_545_power__0,axiom,
! [X268] : hAPP_nat_nat(power_power_nat(X268),zero_zero_nat) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_545_power__0) ).
fof(fact_542_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X267] : hAPP_nat_nat(power_power_nat(X267),zero_zero_nat) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_542_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_546_power__0,axiom,
! [X268] : hAPP_nat_int(power_power_int(X268),zero_zero_nat) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_546_power__0) ).
fof(fact_543_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X267] : hAPP_nat_int(power_power_int(X267),zero_zero_nat) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_543_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_708_mult__zero__right,axiom,
! [X314] : hAPP_int_int(times_times_int(X314),zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_708_mult__zero__right) ).
fof(fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X188] : hAPP_int_int(times_times_int(X188),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_690_real__mult__1,axiom,
! [X18] : hAPP_real_real(times_times_real(one_one_real),X18) = X18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_690_real__mult__1) ).
fof(fact_190_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X107] : hAPP_real_real(times_times_real(one_one_real),X107) = X107,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X189] : hAPP_real_real(plus_plus_real(zero_zero_real),X189) = X189,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(fact_1028_nat__mult__1,axiom,
! [X176] : hAPP_nat_nat(times_times_nat(one_one_nat),X176) = X176,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1028_nat__mult__1) ).
fof(fact_189_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X107] : hAPP_nat_nat(times_times_nat(one_one_nat),X107) = X107,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(fact_963_plus__nat_Oadd__0,axiom,
! [X176] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X176) = X176,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_963_plus__nat_Oadd__0) ).
fof(fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X189] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X189) = X189,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I5_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(gsy_c_IntFact_Ozfact,axiom,
! [X1] :
( is_int(X1)
=> is_int(zfact(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_IntFact_Ozfact) ).
fof(fact_466_power__one,axiom,
! [X237] : hAPP_nat_real(power_power_real(one_one_real),X237) = one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_466_power__one) ).
fof(fact_709_mult__zero__left,axiom,
! [X315] : hAPP_real_real(times_times_real(zero_zero_real),X315) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_709_mult__zero__left) ).
fof(fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X187] : hAPP_real_real(times_times_real(zero_zero_real),X187) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_884_diff__0__eq__0,axiom,
! [X176] : hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X176) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_884_diff__0__eq__0) ).
fof(fact_969_mult__0,axiom,
! [X176] : hAPP_nat_nat(times_times_nat(zero_zero_nat),X176) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_969_mult__0) ).
fof(fact_710_mult__zero__left,axiom,
! [X315] : hAPP_nat_nat(times_times_nat(zero_zero_nat),X315) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_710_mult__zero__left) ).
fof(fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X187] : hAPP_nat_nat(times_times_nat(zero_zero_nat),X187) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_467_power__one,axiom,
! [X237] : hAPP_nat_nat(power_power_nat(one_one_nat),X237) = one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_467_power__one) ).
fof(fact_468_power__one,axiom,
! [X237] : hAPP_nat_int(power_power_int(one_one_int),X237) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_468_power__one) ).
fof(fact_1152_zmod__zero,axiom,
! [X6] : hAPP_int_int(div_mod_int(zero_zero_int),X6) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1152_zmod__zero) ).
fof(fact_201_mult__Pls,axiom,
! [X17] : hAPP_int_int(times_times_int(pls),X17) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_mult__Pls) ).
fof(fact_711_mult__zero__left,axiom,
! [X315] : hAPP_int_int(times_times_int(zero_zero_int),X315) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_711_mult__zero__left) ).
fof(fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X187] : hAPP_int_int(times_times_int(zero_zero_int),X187) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_200_Bit0__Pls,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_Bit0__Pls) ).
fof(fact_144_number__of__is__id,axiom,
! [X23] :
( is_int(X23)
=> number_number_of_int(X23) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_number__of__is__id) ).
fof(gsy_c_TwoSquares__Mirabelle__enbualjaop_Osum2sq,axiom,
! [X1] : is_int(twoSqu1241645765sum2sq(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_TwoSquares__Mirabelle__enbualjaop_Osum2sq) ).
fof(fact_1064_number__of2,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1064_number__of2) ).
fof(fact_531_rel__simps_I6_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_531_rel__simps_I6_J) ).
fof(fact_533_bin__less__0__simps_I2_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_533_bin__less__0__simps_I2_J) ).
fof(fact_402_int__0__less__1,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_402_int__0__less__1) ).
fof(fact_70_rel__simps_I19_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_rel__simps_I19_J) ).
fof(fact_537_rel__simps_I23_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_537_rel__simps_I23_J) ).
fof(fact_526_rel__simps_I24_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),min)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_526_rel__simps_I24_J) ).
fof(fact_571_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_571_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J) ).
fof(fact_585_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_585_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J) ).
fof(fact_0_tpos,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(fact_539_eq__number__of__Pls__Min,axiom,
number_number_of_int(pls) != number_number_of_int(min),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_539_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_397_semiring__numeral__0__eq__0,axiom,
number267125858f_real(pls) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_397_semiring__numeral__0__eq__0) ).
fof(fact_394_number__of__Pls,axiom,
number267125858f_real(pls) = zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_394_number__of__Pls) ).
fof(fact_547_nat__number__of__Pls,axiom,
number_number_of_nat(pls) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_547_nat__number__of__Pls) ).
fof(fact_396_semiring__numeral__0__eq__0,axiom,
number_number_of_nat(pls) = zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_396_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_393_number__of__Pls,axiom,
number_number_of_int(pls) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_393_number__of__Pls) ).
fof(fact_392_semiring__norm_I112_J,axiom,
zero_zero_real = number267125858f_real(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_392_semiring__norm_I112_J) ).
fof(fact_548_semiring__norm_I113_J,axiom,
zero_zero_nat = number_number_of_nat(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_548_semiring__norm_I113_J) ).
fof(fact_401_zero__is__num__zero,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_401_zero__is__num__zero) ).
fof(fact_391_semiring__norm_I112_J,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_391_semiring__norm_I112_J) ).
fof(fact_715_one__neq__zero,axiom,
one_one_real != zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_715_one__neq__zero) ).
fof(fact_712_zero__neq__one,axiom,
zero_zero_real != one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_712_zero__neq__one) ).
fof(fact_684_real__zero__not__eq__one,axiom,
zero_zero_real != one_one_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_684_real__zero__not__eq__one) ).
fof(fact_716_one__neq__zero,axiom,
one_one_nat != zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_716_one__neq__zero) ).
fof(fact_713_zero__neq__one,axiom,
zero_zero_nat != one_one_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_713_zero__neq__one) ).
fof(fact_522_rel__simps_I40_J,axiom,
min != pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_522_rel__simps_I40_J) ).
fof(fact_521_rel__simps_I37_J,axiom,
pls != min,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_521_rel__simps_I37_J) ).
fof(fact_717_one__neq__zero,axiom,
one_one_int != zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_717_one__neq__zero) ).
fof(fact_714_zero__neq__one,axiom,
zero_zero_int != one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_714_zero__neq__one) ).
fof(fact_359_int__0__neq__1,axiom,
zero_zero_int != one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_359_int__0__neq__1) ).
fof(fact_358_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_358_Pls__def) ).
fof(i_0_1210,plain,
( ~ hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_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),hAPP_int_int(plus_plus_int(hAPP_int_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_610__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N]) ).
fof(i_0_1211,plain,
~ ! [X266] :
( is_int(X266)
=> ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X266),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ),
inference(fof_simplification,[status(thm)],[fact_512__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_1212,negated_conjecture,
~ ? [X3,X4] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_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_1213,plain,
! [X245,X246] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X245),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X246),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)),
inference(fof_simplification,[status(thm)],[fact_479_not__sum__power2__lt__zero]) ).
fof(i_0_1214,plain,
! [X245,X246] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X245),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X246),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)),
inference(fof_simplification,[status(thm)],[fact_480_not__sum__power2__lt__zero]) ).
fof(i_0_1215,plain,
! [X22,X21,X152] :
( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X22),number_number_of_nat(bit0(bit1(pls)))),X21),X152))
=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X22)) ) ),
inference(fof_simplification,[status(thm)],[fact_504_Euler_Oaux____1]) ).
fof(i_0_1216,plain,
! [X228] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X228),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)),
inference(fof_simplification,[status(thm)],[fact_451_power2__less__0]) ).
fof(i_0_1217,plain,
! [X228] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X228),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)),
inference(fof_simplification,[status(thm)],[fact_452_power2__less__0]) ).
fof(i_0_1218,plain,
! [X23,X5,X25,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X152,X25)),X25)),X23),hAPP_int_int(times_times_int(multInv(X152,X25)),X5)),X152))
=> hBOOL(hAPP_int_bool(zcong(X23,hAPP_int_int(times_times_int(X5),multInv(X152,X25))),X152)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1088_aux______4]) ).
fof(i_0_1219,plain,
! [X41,X17] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X17)))
=> hAPP_int_int(div_mod_int(number_number_of_int(bit1(X41))),number_number_of_int(bit0(X17))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X41)),number_number_of_int(X17)))),one_one_int) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X17)))
=> hAPP_int_int(div_mod_int(number_number_of_int(bit1(X41))),number_number_of_int(bit0(X17))) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(number_number_of_int(X41)),one_one_int)),number_number_of_int(X17)))),one_one_int) ) ),
inference(fof_simplification,[status(thm)],[fact_1135_zmod__number__of__Bit1]) ).
fof(i_0_1220,plain,
! [X25,X5,X23,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X23,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X25),X23),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X23)),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X25),X23),X5),X152)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1089_aux______2]) ).
fof(i_0_1221,plain,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(multInv(X152,multInv(X152,X21)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X21),multInv(X152,X21))),multInv(X152,multInv(X152,X21)))),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1093_Int2_Oaux____1]) ).
fof(i_0_1222,plain,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X21),multInv(X152,X21))),multInv(X152,multInv(X152,X21))),X21),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1092_Int2_Oaux____2]) ).
fof(i_0_1223,plain,
! [X25,X23,X5,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X23,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),multInv(X152,X25)),hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X152))
=> hBOOL(hAPP_int_bool(zcong(X25,X23),X152)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1091_MultInv__zcong__prop3]) ).
fof(i_0_1224,plain,
! [X5,X25,X23,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X23,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X25,hAPP_int_int(times_times_int(X5),multInv(X152,X23))),X152))
=> hBOOL(hAPP_int_bool(zcong(X23,hAPP_int_int(times_times_int(X5),multInv(X152,X25))),X152)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1090_MultInv__zcong__prop2]) ).
fof(i_0_1225,plain,
! [X25,X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X25,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(quadRes(X152),X5))
=> ~ hBOOL(hAPP_int_bool(zcong(X25,hAPP_int_int(times_times_int(X5),multInv(X152,X25))),X152)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1073_MultInvPair__distinct]) ).
fof(i_0_1226,plain,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(multInv(X152,X21)),X21),one_one_int),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1094_MultInv__prop2a]) ).
fof(i_0_1227,plain,
! [X22,X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X22,zero_zero_int),X152))
=> ( hBOOL(hAPP_int_bool(zcong(multInv(X152,X21),multInv(X152,X22)),X152))
=> hBOOL(hAPP_int_bool(zcong(X21,X22),X152)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1084_MultInv__prop5]) ).
fof(i_0_1228,plain,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X21),multInv(X152,X21)),one_one_int),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1095_MultInv__prop2]) ).
fof(i_0_1229,plain,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> hBOOL(hAPP_int_bool(zcong(multInv(X152,multInv(X152,X21)),X21),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1085_MultInv__prop4]) ).
fof(i_0_1230,plain,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ~ hBOOL(hAPP_int_bool(zcong(multInv(X152,X21),zero_zero_int),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1086_MultInv__prop3]) ).
fof(i_0_1231,plain,
! [X21,X152] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X152))
=> ( hBOOL(hAPP_int_bool(zcong(X21,number_number_of_int(min)),X152))
=> ~ hBOOL(hAPP_int_bool(zcong(X21,one_one_int),X152)) ) ),
inference(fof_simplification,[status(thm)],[fact_607_zcong__neg__1__impl__ne__1]) ).
fof(i_0_1232,plain,
! [X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X177))
=> ~ hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),X177)) ),
inference(fof_simplification,[status(thm)],[fact_608_one__not__neg__one__mod__m]) ).
fof(i_0_1233,plain,
! [X5557] : sr(X5557) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),cOMBC_int_int_bool(ord_less_int,X5557))),
inference(variable_rename,[status(thm)],[fact_1133_SR__def]) ).
fof(i_0_1234,plain,
! [X3348] : collect_int(X3348) = X3348,
inference(variable_rename,[status(thm)],[fact_119_Collect__def]) ).
fof(i_0_1235,plain,
! [X38,X161,X73] :
( epred1_3(X73,X161,X38)
<=> ( ( X38 = zero_zero_int
=> hBOOL(hAPP_int_bool(X73,X161)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X38))
=> ! [X435,X446] :
( ( is_int(X435)
& is_int(X446) )
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X446))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X446),X38))
& X161 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X38),X435)),X446) )
=> hBOOL(hAPP_int_bool(X73,X446)) ) ) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),zero_zero_int))
=> ! [X435,X446] :
( ( is_int(X435)
& is_int(X446) )
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X38),X446))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X446),zero_zero_int))
& X161 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X38),X435)),X446) )
=> hBOOL(hAPP_int_bool(X73,X446)) ) ) ) ) ),
introduced(definition) ).
fof(i_0_1236,plain,
! [X7,X262] :
( ~ hBOOL(hAPP_int_bool(zcong(X7,zero_zero_int),X262))
<=> standardRes(X262,X7) != zero_zero_int ),
inference(fof_simplification,[status(thm)],[fact_1190_StandardRes__prop3]) ).
fof(i_0_1237,plain,
! [X4364,X4365] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X4364),X4365)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X4364),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),hAPP_nat_int(power_power_int(X4364),number_number_of_nat(bit0(bit1(pls)))))),X4365))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),X4364)),hAPP_nat_int(power_power_int(X4365),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(X4365),number_number_of_nat(bit1(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_651_zdiff__power3]) ).
fof(i_0_1238,plain,
! [X3530] : bit0(X3530) = hAPP_int_int(plus_plus_int(X3530),X3530),
inference(variable_rename,[status(thm)],[fact_206_Bit0__def]) ).
fof(i_0_1239,plain,
! [X3625] : bit1(X3625) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X3625)),X3625),
inference(variable_rename,[status(thm)],[fact_253_Bit1__def]) ).
fof(i_0_1240,plain,
! [X3122,X3123] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X3122),X3123)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3122),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),hAPP_nat_int(power_power_int(X3122),number_number_of_nat(bit0(bit1(pls)))))),X3123))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),X3122)),hAPP_nat_int(power_power_int(X3123),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(X3123),number_number_of_nat(bit1(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_8_zadd__power3]) ).
fof(i_0_1241,plain,
! [X3685] :
( is_int(esk6_0)
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk6_0))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk6_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& hBOOL(hAPP_int_bool(zcong(s1,esk6_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& ( ~ is_int(X3685)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3685))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3685),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(zcong(s1,X3685),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
| X3685 = esk6_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_308__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_1242,plain,
( hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_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),hAPP_int_int(plus_plus_int(hAPP_int_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_1210]) ).
fof(i_0_1243,plain,
! [X4398] :
( ~ hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),X4398)),one_one_int)))
| legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),X4398)),one_one_int)) = one_one_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_665_Legendre__1mod4])]) ).
fof(i_0_1244,plain,
( is_int(esk9_0)
& hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(esk9_0),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_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_1211])])]) ).
fof(i_0_1245,plain,
( is_int(esk5_0)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_1246,plain,
( is_int(esk7_0)
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk7_0))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk7_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
& hBOOL(hAPP_int_bool(zcong(s1,esk7_0),hAPP_int_int(plus_plus_int(hAPP_int_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_309__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_1247,negated_conjecture,
! [X5742,X5743] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X5742),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X5743),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_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_1212])]) ).
fof(i_0_1248,plain,
! [X4362,X4363] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X4362),X4363)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X4362),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X4362)),X4363))),hAPP_nat_int(power_power_int(X4363),number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_650_zdiff__power2]) ).
fof(i_0_1249,plain,
! [X3120,X3121] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X3120),X3121)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3120),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X3120)),X3121))),hAPP_nat_int(power_power_int(X3121),number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_7_zadd__power2]) ).
fof(i_0_1250,plain,
! [X4007,X4008] :
( ( X4007 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4007),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4008),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))
| ~ is_int(X4007)
| ~ is_int(X4008) )
& ( X4008 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4007),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4008),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))
| ~ is_int(X4007)
| ~ is_int(X4008) )
& ( X4007 != zero_zero_int
| X4008 != zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4007),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4008),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))
| ~ is_int(X4007)
| ~ is_int(X4008) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_478_sum__power2__le__zero__iff])])]) ).
fof(i_0_1251,plain,
! [X4005,X4006] :
( ( X4005 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4005),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4006),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) )
& ( X4006 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4005),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4006),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) )
& ( X4005 != zero_zero_real
| X4006 != zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4005),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4006),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_477_sum__power2__le__zero__iff])])]) ).
fof(i_0_1252,plain,
! [X4009,X4010] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4009),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4010),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)),
inference(variable_rename,[status(thm)],[i_0_1213]) ).
fof(i_0_1253,plain,
! [X4011,X4012] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4011),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4012),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)),
inference(variable_rename,[status(thm)],[i_0_1214]) ).
fof(i_0_1254,plain,
! [X5471,X5472,X5473] :
( ~ hBOOL(hAPP_int_bool(zprime,X5473))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X5473))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5472),hAPP_int_int(minus_minus_int(X5473),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5471))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5471),hAPP_int_int(minus_minus_int(X5473),one_one_int)))
| ~ hBOOL(member_int(inv(X5473,X5471),wset(X5472,X5473)))
| hBOOL(member_int(X5471,wset(X5472,X5473))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1097_wset__inv__mem__mem])]) ).
fof(i_0_1255,plain,
! [X5468,X5469,X5470] :
( ~ hBOOL(hAPP_int_bool(zprime,X5470))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X5470))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5469),hAPP_int_int(minus_minus_int(X5470),one_one_int)))
| ~ hBOOL(member_int(X5468,wset(X5469,X5470)))
| hBOOL(member_int(inv(X5470,X5468),wset(X5469,X5470))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1096_wset__mem__inv__mem])]) ).
fof(i_0_1256,plain,
! [X5403,X5404] :
( ~ is_int(X5403)
| ~ hBOOL(hAPP_int_bool(zprime,X5404))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X5404))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5403))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5403),X5404))
| inv(X5404,inv(X5404,X5403)) = X5403 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1072_inv__inv])]) ).
fof(i_0_1257,plain,
( ( is_int(esk3_0)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) )
& ( is_int(esk4_0)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) )
& ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(esk3_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(esk4_0),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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_1258,plain,
( ( is_int(esk1_0)
| t != one_one_int )
& ( is_int(esk2_0)
| t != one_one_int )
& ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(esk1_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(esk2_0),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_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_1259,plain,
! [X4078,X4079] :
( ~ is_int(X4078)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X4078),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X4079))),zero_zero_int))
| X4078 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_507_even__power__le__0__imp__0])]) ).
fof(i_0_1260,plain,
! [X4076,X4077] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X4076),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X4077))),zero_zero_real))
| X4076 = zero_zero_real ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_506_even__power__le__0__imp__0])]) ).
fof(i_0_1261,plain,
! [X3650] :
( ~ is_int(X3650)
| ~ hBOOL(hAPP_int_bool(zprime,X3650))
| X3650 = number_number_of_int(bit0(bit1(pls)))
| X3650 = number_number_of_int(bit1(bit1(pls)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X3650)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_290_prime__g__5])]) ).
fof(i_0_1262,plain,
! [X4358,X4359] : hAPP_nat_real(power_power_real(hAPP_real_real(minus_minus_real(X4358),X4359)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4358),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4359),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X4358)),X4359)),
inference(variable_rename,[status(thm)],[fact_648_power2__diff]) ).
fof(i_0_1263,plain,
! [X3651,X3652] : hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X3651),X3652)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X3651),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3652),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X3651)),X3652)),
inference(variable_rename,[status(thm)],[fact_292_real__sum__squared__expand]) ).
fof(i_0_1264,plain,
! [X3128,X3129] : hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X3128),X3129)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X3128),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3129),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X3128)),X3129)),
inference(variable_rename,[status(thm)],[fact_11_power2__sum]) ).
fof(i_0_1265,plain,
! [X3126,X3127] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(plus_plus_nat(X3126),X3127)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(power_power_nat(X3126),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X3127),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3126)),X3127)),
inference(variable_rename,[status(thm)],[fact_10_power2__sum]) ).
fof(i_0_1266,plain,
! [X4360,X4361] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X4360),X4361)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4360),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4361),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X4360)),X4361)),
inference(variable_rename,[status(thm)],[fact_649_power2__diff]) ).
fof(i_0_1267,plain,
! [X3124,X3125] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X3124),X3125)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3124),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X3125),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X3124)),X3125)),
inference(variable_rename,[status(thm)],[fact_9_power2__sum]) ).
fof(i_0_1268,plain,
! [X4015,X4016] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4015),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4016),number_number_of_nat(bit0(bit1(pls)))))))
| X4015 != zero_zero_int
| X4016 != zero_zero_int
| ~ is_int(X4015)
| ~ is_int(X4016) )
& ( X4015 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4015),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4016),number_number_of_nat(bit0(bit1(pls)))))))
| ~ is_int(X4015)
| ~ is_int(X4016) )
& ( X4016 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4015),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4016),number_number_of_nat(bit0(bit1(pls)))))))
| ~ is_int(X4015)
| ~ is_int(X4016) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_482_sum__power2__gt__zero__iff])])]) ).
fof(i_0_1269,plain,
! [X4013,X4014] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4013),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4014),number_number_of_nat(bit0(bit1(pls)))))))
| X4013 != zero_zero_real
| X4014 != zero_zero_real )
& ( X4013 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4013),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4014),number_number_of_nat(bit0(bit1(pls))))))) )
& ( X4014 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4013),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4014),number_number_of_nat(bit0(bit1(pls))))))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_481_sum__power2__gt__zero__iff])])]) ).
fof(i_0_1270,plain,
! [X5558,X5559] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5559),zero_zero_int))
| hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5558))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5559)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(X5558),one_one_int)),X5559))),one_one_int) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1134_neg__zmod__mult__2])]) ).
fof(i_0_1271,plain,
! [X4001,X4002] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4001),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4002),number_number_of_nat(bit0(bit1(pls))))))),
inference(variable_rename,[status(thm)],[fact_475_sum__power2__ge__zero]) ).
fof(i_0_1272,plain,
! [X4003,X4004] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X4003),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4004),number_number_of_nat(bit0(bit1(pls))))))),
inference(variable_rename,[status(thm)],[fact_476_sum__power2__ge__zero]) ).
fof(i_0_1273,plain,
! [X5659,X5660] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5660))
| hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5659))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X5660)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(X5659),X5660))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1174_pos__zmod__mult__2])]) ).
fof(i_0_1274,plain,
! [X3653] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3653),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X3653)),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_293_four__x__squared]) ).
fof(i_0_1275,plain,
! [X3995,X3996] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3995),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3996),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3996))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3995),X3996)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_472_power2__less__imp__less])]) ).
fof(i_0_1276,plain,
! [X3939,X3940] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3939),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3940),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3940))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3939),X3940)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_445_power2__le__imp__le])]) ).
fof(i_0_1277,plain,
! [X3997,X3998] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3997),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X3998),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3998))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3997),X3998)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_473_power2__less__imp__less])]) ).
fof(i_0_1278,plain,
! [X3941,X3942] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3941),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X3942),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3942))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3941),X3942)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_446_power2__le__imp__le])]) ).
fof(i_0_1279,plain,
! [X3999,X4000] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3999),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4000),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4000))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3999),X4000)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_474_power2__less__imp__less])]) ).
fof(i_0_1280,plain,
! [X3943,X3944] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3943),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X3944),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3944))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3943),X3944)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_447_power2__le__imp__le])]) ).
fof(i_0_1281,plain,
! [X4401,X4402] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4401),X4402))
| X4402 = zero_zero_nat
| X4402 = X4401
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X4401)),X4402)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_667_divides__cases])]) ).
fof(i_0_1282,plain,
! [X4017,X4018] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X4017),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X4018)))),
inference(variable_rename,[status(thm)],[fact_483_zero__le__even__power_H]) ).
fof(i_0_1283,plain,
! [X4019,X4020] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X4019),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X4020)))),
inference(variable_rename,[status(thm)],[fact_484_zero__le__even__power_H]) ).
fof(i_0_1284,plain,
! [X4072,X4073,X4074] :
( hBOOL(hAPP_int_bool(zcong(X4073,zero_zero_int),X4074))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X4072),number_number_of_nat(bit0(bit1(pls)))),X4073),X4074))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4074),X4072)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1215])]) ).
fof(i_0_1285,plain,
! [X4403,X4404,X4406,X4407,X4408] :
( ( is_int(esk11_2(X4403,X4404))
| ~ hBOOL(hAPP_int_bool(quadRes(X4403),X4404)) )
& ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(esk11_2(X4403,X4404)),number_number_of_nat(bit0(bit1(pls)))),X4404),X4403))
| ~ hBOOL(hAPP_int_bool(quadRes(X4403),X4404)) )
& ( ~ is_int(X4408)
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X4408),number_number_of_nat(bit0(bit1(pls)))),X4407),X4406))
| hBOOL(hAPP_int_bool(quadRes(X4406),X4407)) ) ),
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_668_QuadRes__def])])])])])]) ).
fof(i_0_1286,plain,
! [X3951] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3951),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)),
inference(variable_rename,[status(thm)],[i_0_1216]) ).
fof(i_0_1287,plain,
! [X3952] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3952),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)),
inference(variable_rename,[status(thm)],[i_0_1217]) ).
fof(i_0_1288,plain,
! [X3639] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X3639),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(X3639),number_number_of_nat(bit0(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_274_quartic__square__square]) ).
fof(i_0_1289,plain,
! [X3957,X3958] :
( ( X3957 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3957),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X3958),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_int
| ~ is_int(X3957)
| ~ is_int(X3958) )
& ( X3958 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3957),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X3958),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_int
| ~ is_int(X3957)
| ~ is_int(X3958) )
& ( X3957 != zero_zero_int
| X3958 != zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X3957),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X3958),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int
| ~ is_int(X3957)
| ~ is_int(X3958) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_456_sum__power2__eq__zero__iff])])]) ).
fof(i_0_1290,plain,
! [X4409,X4410] :
( ( X4409 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4409),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4410),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X4410 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4409),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4410),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X4409 != zero_zero_real
| X4410 != zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X4409),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X4410),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_669_realpow__two__sum__zero__iff])])]) ).
fof(i_0_1291,plain,
! [X3955,X3956] :
( ( X3955 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X3955),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3956),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X3956 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X3955),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3956),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real )
& ( X3955 != zero_zero_real
| X3956 != zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X3955),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X3956),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_455_sum__power2__eq__zero__iff])])]) ).
fof(i_0_1292,plain,
! [X5444,X5445,X5446,X5447] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5447))
| ~ hBOOL(hAPP_int_bool(zprime,X5447))
| hBOOL(hAPP_int_bool(zcong(X5446,zero_zero_int),X5447))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X5447,X5446)),X5446)),X5444),hAPP_int_int(times_times_int(multInv(X5447,X5446)),X5445)),X5447))
| hBOOL(hAPP_int_bool(zcong(X5444,hAPP_int_int(times_times_int(X5445),multInv(X5447,X5446))),X5447)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1218])]) ).
fof(i_0_1293,plain,
! [X5560,X5561] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X5561)))
| hAPP_int_int(div_mod_int(number_number_of_int(bit1(X5560))),number_number_of_int(bit0(X5561))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X5560)),number_number_of_int(X5561)))),one_one_int) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X5561)))
| hAPP_int_int(div_mod_int(number_number_of_int(bit1(X5560))),number_number_of_int(bit0(X5561))) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(number_number_of_int(X5560)),one_one_int)),number_number_of_int(X5561)))),one_one_int) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1219])]) ).
fof(i_0_1294,plain,
! [X4890] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),X4890))),
inference(variable_rename,[status(thm)],[fact_871_two__realpow__ge__one]) ).
fof(i_0_1295,plain,
! [X5448,X5449,X5450,X5451] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5451))
| ~ hBOOL(hAPP_int_bool(zprime,X5451))
| hBOOL(hAPP_int_bool(zcong(X5450,zero_zero_int),X5451))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5448),X5450),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X5449),multInv(X5451,X5450))),X5450)),X5451))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5448),X5450),X5449),X5451)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1220])]) ).
fof(i_0_1296,plain,
! [X5462,X5463] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5463))
| ~ hBOOL(hAPP_int_bool(zprime,X5463))
| hBOOL(hAPP_int_bool(zcong(X5462,zero_zero_int),X5463))
| hBOOL(hAPP_int_bool(zcong(multInv(X5463,multInv(X5463,X5462)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X5462),multInv(X5463,X5462))),multInv(X5463,multInv(X5463,X5462)))),X5463)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1221])]) ).
fof(i_0_1297,plain,
! [X5460,X5461] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5461))
| ~ hBOOL(hAPP_int_bool(zprime,X5461))
| hBOOL(hAPP_int_bool(zcong(X5460,zero_zero_int),X5461))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X5460),multInv(X5461,X5460))),multInv(X5461,multInv(X5461,X5460))),X5460),X5461)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1222])]) ).
fof(i_0_1298,plain,
! [X5456,X5457,X5458,X5459] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5459))
| ~ hBOOL(hAPP_int_bool(zprime,X5459))
| hBOOL(hAPP_int_bool(zcong(X5458,zero_zero_int),X5459))
| hBOOL(hAPP_int_bool(zcong(X5457,zero_zero_int),X5459))
| hBOOL(hAPP_int_bool(zcong(X5456,zero_zero_int),X5459))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5458),multInv(X5459,X5456)),hAPP_int_int(times_times_int(X5458),multInv(X5459,X5457))),X5459))
| hBOOL(hAPP_int_bool(zcong(X5456,X5457),X5459)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1223])]) ).
fof(i_0_1299,plain,
! [X5452,X5453,X5454,X5455] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5455))
| ~ hBOOL(hAPP_int_bool(zprime,X5455))
| hBOOL(hAPP_int_bool(zcong(X5454,zero_zero_int),X5455))
| hBOOL(hAPP_int_bool(zcong(X5453,zero_zero_int),X5455))
| ~ hBOOL(hAPP_int_bool(zcong(X5453,hAPP_int_int(times_times_int(X5452),multInv(X5455,X5454))),X5455))
| hBOOL(hAPP_int_bool(zcong(X5454,hAPP_int_int(times_times_int(X5452),multInv(X5455,X5453))),X5455)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1224])]) ).
fof(i_0_1300,plain,
! [X5664,X5665,X5666] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5666))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(standardRes(X5666,X5664)),standardRes(X5666,X5665)),hAPP_int_int(times_times_int(X5664),X5665)),X5666)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1176_StandardRes__prop4])]) ).
fof(i_0_1301,plain,
! [X5686,X5687] : standardRes(X5686,X5687) = hAPP_int_int(div_mod_int(X5687),X5686),
inference(variable_rename,[status(thm)],[fact_1184_StandardRes__def]) ).
fof(i_0_1302,plain,
! [X5405,X5406,X5407] :
( ~ hBOOL(hAPP_int_bool(zprime,X5407))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5407))
| hBOOL(hAPP_int_bool(zcong(X5406,zero_zero_int),X5407))
| hBOOL(hAPP_int_bool(zcong(X5405,zero_zero_int),X5407))
| hBOOL(hAPP_int_bool(quadRes(X5407),X5406))
| ~ hBOOL(hAPP_int_bool(zcong(X5405,hAPP_int_int(times_times_int(X5406),multInv(X5407,X5405))),X5407)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1225])]) ).
fof(i_0_1303,plain,
! [X5431,X5432,X5433,X5434] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5434))
| ~ hBOOL(hAPP_int_bool(zcong(X5432,X5433),X5434))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5431),multInv(X5434,X5432)),hAPP_int_int(times_times_int(X5431),multInv(X5434,X5433))),X5434)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1083_MultInv__zcong__prop1])]) ).
fof(i_0_1304,plain,
! [X4250,X4251,X4252] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X4252))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),X4250),hAPP_nat_int(power_power_int(number_number_of_int(min)),X4251)),X4252))
| hAPP_nat_int(power_power_int(number_number_of_int(min)),X4250) = hAPP_nat_int(power_power_int(number_number_of_int(min)),X4251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_606_neg__one__power__eq__mod__m])]) ).
fof(i_0_1305,plain,
! [X5464,X5465] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5465))
| ~ hBOOL(hAPP_int_bool(zprime,X5465))
| hBOOL(hAPP_int_bool(zcong(X5464,zero_zero_int),X5465))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(multInv(X5465,X5464)),X5464),one_one_int),X5465)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1226])]) ).
fof(i_0_1306,plain,
! [X5435,X5436,X5437] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5437))
| ~ hBOOL(hAPP_int_bool(zprime,X5437))
| hBOOL(hAPP_int_bool(zcong(X5436,zero_zero_int),X5437))
| hBOOL(hAPP_int_bool(zcong(X5435,zero_zero_int),X5437))
| ~ hBOOL(hAPP_int_bool(zcong(multInv(X5437,X5436),multInv(X5437,X5435)),X5437))
| hBOOL(hAPP_int_bool(zcong(X5436,X5435),X5437)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1227])]) ).
fof(i_0_1307,plain,
! [X5466,X5467] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5467))
| ~ hBOOL(hAPP_int_bool(zprime,X5467))
| hBOOL(hAPP_int_bool(zcong(X5466,zero_zero_int),X5467))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5466),multInv(X5467,X5466)),one_one_int),X5467)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1228])]) ).
fof(i_0_1308,plain,
! [X5438,X5439] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5439))
| ~ hBOOL(hAPP_int_bool(zprime,X5439))
| hBOOL(hAPP_int_bool(zcong(X5438,zero_zero_int),X5439))
| hBOOL(hAPP_int_bool(zcong(multInv(X5439,multInv(X5439,X5438)),X5438),X5439)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1229])]) ).
fof(i_0_1309,plain,
! [X5426,X5427,X5428] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5428))
| ~ hBOOL(hAPP_int_bool(zcong(X5426,X5427),X5428))
| hBOOL(hAPP_int_bool(zcong(multInv(X5428,X5426),multInv(X5428,X5427)),X5428)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1081_MultInv__prop1])]) ).
fof(i_0_1310,plain,
! [X5440,X5441] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X5441))
| ~ hBOOL(hAPP_int_bool(zprime,X5441))
| hBOOL(hAPP_int_bool(zcong(X5440,zero_zero_int),X5441))
| ~ hBOOL(hAPP_int_bool(zcong(multInv(X5441,X5440),zero_zero_int),X5441)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1230])]) ).
fof(i_0_1311,plain,
! [X4253,X4254] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X4254))
| ~ hBOOL(hAPP_int_bool(zcong(X4253,number_number_of_int(min)),X4254))
| ~ hBOOL(hAPP_int_bool(zcong(X4253,one_one_int),X4254)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1231])]) ).
fof(i_0_1312,plain,
! [X4255] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X4255))
| ~ hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),X4255)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1232])]) ).
fof(i_0_1313,plain,
! [X3954] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X3954),number_number_of_nat(bit0(bit1(pls))))))
| X3954 != zero_zero_int
| ~ is_int(X3954) )
& ( X3954 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X3954),number_number_of_nat(bit0(bit1(pls))))))
| ~ is_int(X3954) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_454_zero__less__power2])])]) ).
fof(i_0_1314,plain,
! [X3953] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X3953),number_number_of_nat(bit0(bit1(pls))))))
| X3953 != zero_zero_real )
& ( X3953 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X3953),number_number_of_nat(bit0(bit1(pls)))))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_zero__less__power2])]) ).
fof(i_0_1315,plain,
! [X4467,X4468] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(power_power_nat(X4467),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X4468),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X4467),X4468)),hAPP_nat_nat(minus_minus_nat(X4467),X4468)),
inference(variable_rename,[status(thm)],[fact_697_diff__square]) ).
fof(i_0_1316,plain,
! [X4337,X4338] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X4337),X4338)),hAPP_int_int(minus_minus_int(X4337),X4338)) = hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X4337),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X4338),number_number_of_nat(bit0(bit1(pls))))),
inference(variable_rename,[status(thm)],[fact_642_zspecial__product]) ).
fof(i_0_1317,plain,
! [X3437,X3438] : hAPP_nat_real(power_power_real(X3437),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3438)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X3437),X3438)),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_160_power__even__eq]) ).
fof(i_0_1318,plain,
! [X3439,X3440] : hAPP_nat_nat(power_power_nat(X3439),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3440)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X3439),X3440)),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_161_power__even__eq]) ).
fof(i_0_1319,plain,
! [X3435,X3436] : hAPP_nat_int(power_power_int(X3435),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3436)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X3435),X3436)),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_159_power__even__eq]) ).
fof(i_0_1320,plain,
! [X3142,X3143] : hAPP_nat_real(power_power_real(X3142),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3143)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X3142),X3143)),hAPP_nat_real(power_power_real(X3142),X3143)),
inference(variable_rename,[status(thm)],[fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J]) ).
fof(i_0_1321,plain,
! [X3144,X3145] : hAPP_nat_nat(power_power_nat(X3144),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3145)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X3144),X3145)),hAPP_nat_nat(power_power_nat(X3144),X3145)),
inference(variable_rename,[status(thm)],[fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J]) ).
fof(i_0_1322,plain,
! [X3140,X3141] : hAPP_nat_int(power_power_int(X3140),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3141)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X3140),X3141)),hAPP_nat_int(power_power_int(X3140),X3141)),
inference(variable_rename,[status(thm)],[fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J]) ).
fof(i_0_1323,plain,
! [X3555] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3555),hAPP_nat_int(power_power_int(X3555),number_number_of_nat(bit0(bit1(pls)))))),
inference(variable_rename,[status(thm)],[fact_219_power2__ge__self]) ).
fof(i_0_1324,plain,
! [X3937] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X3937),number_number_of_nat(bit0(bit1(pls)))))),
inference(variable_rename,[status(thm)],[fact_443_zero__le__power2]) ).
fof(i_0_1325,plain,
! [X3938] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X3938),number_number_of_nat(bit0(bit1(pls)))))),
inference(variable_rename,[status(thm)],[fact_444_zero__le__power2]) ).
fof(i_0_1326,plain,
! [X5515] :
( ~ hBOOL(hAPP_int_bool(zprime,X5515))
| d22set(hAPP_int_int(minus_minus_int(X5515),number_number_of_int(bit0(bit1(pls))))) = wset(hAPP_int_int(minus_minus_int(X5515),number_number_of_int(bit0(bit1(pls)))),X5515) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1110_d22set__eq__wset])]) ).
fof(i_0_1327,plain,
! [X4188] : hAPP_nat_real(power_power_real(number267125858f_real(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X4188)) = one_one_real,
inference(variable_rename,[status(thm)],[fact_580_power__m1__even]) ).
fof(i_0_1328,plain,
! [X4189] : hAPP_nat_int(power_power_int(number_number_of_int(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X4189)) = one_one_int,
inference(variable_rename,[status(thm)],[fact_581_power__m1__even]) ).
fof(i_0_1329,plain,
! [X3133] : hAPP_int_int(times_times_int(X3133),hAPP_nat_int(power_power_int(X3133),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_int(power_power_int(X3133),number_number_of_nat(bit1(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_15_cube__square]) ).
fof(i_0_1330,plain,
! [X3949,X3950] :
( ~ is_int(X3949)
| ~ is_int(X3950)
| hAPP_nat_int(power_power_int(X3949),number_number_of_nat(bit0(bit1(pls)))) != hAPP_nat_int(power_power_int(X3950),number_number_of_nat(bit0(bit1(pls))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3949))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3950))
| X3949 = X3950 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_450_power2__eq__imp__eq])]) ).
fof(i_0_1331,plain,
! [X3945,X3946] :
( hAPP_nat_real(power_power_real(X3945),number_number_of_nat(bit0(bit1(pls)))) != hAPP_nat_real(power_power_real(X3946),number_number_of_nat(bit0(bit1(pls))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3945))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3946))
| X3945 = X3946 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_448_power2__eq__imp__eq])]) ).
fof(i_0_1332,plain,
! [X3947,X3948] :
( hAPP_nat_nat(power_power_nat(X3947),number_number_of_nat(bit0(bit1(pls)))) != hAPP_nat_nat(power_power_nat(X3948),number_number_of_nat(bit0(bit1(pls))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3947))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3948))
| X3947 = X3948 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_449_power2__eq__imp__eq])]) ).
fof(i_0_1333,plain,
! [X4075] :
( ~ is_int(X4075)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4075))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4075),number_number_of_int(bit0(bit1(pls)))))
| X4075 = zero_zero_int
| X4075 = one_one_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_505_int__pos__lt__two__imp__zero__or__one])]) ).
fof(i_0_1334,plain,
! [X5657] :
( ( hAPP_int_int(div_mod_int(X5657),number_number_of_int(bit0(bit1(pls)))) = zero_zero_int
| hAPP_int_int(div_mod_int(X5657),number_number_of_int(bit0(bit1(pls)))) = one_one_int )
& ( hAPP_int_int(div_mod_int(X5657),number_number_of_int(bit0(bit1(pls)))) != one_one_int
| hAPP_int_int(div_mod_int(X5657),number_number_of_int(bit0(bit1(pls)))) != zero_zero_int ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1172_neq__one__mod__two])]) ).
fof(i_0_1335,plain,
! [X5632,X5633] : hAPP_int_int(div_mod_int(number_number_of_int(bit0(X5632))),number_number_of_int(bit0(X5633))) = hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X5632)),number_number_of_int(X5633))),
inference(variable_rename,[status(thm)],[fact_1165_zmod__number__of__Bit0]) ).
fof(i_0_1336,plain,
! [X3644] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X3644) = hAPP_real_real(plus_plus_real(X3644),X3644),
inference(variable_rename,[status(thm)],[fact_279_mult__2]) ).
fof(i_0_1337,plain,
! [X3642] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X3642) = hAPP_real_real(plus_plus_real(X3642),X3642),
inference(variable_rename,[status(thm)],[fact_277_semiring__mult__2]) ).
fof(i_0_1338,plain,
! [X3641] : hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3641) = hAPP_nat_nat(plus_plus_nat(X3641),X3641),
inference(variable_rename,[status(thm)],[fact_276_semiring__mult__2]) ).
fof(i_0_1339,plain,
! [X3208] : hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X3208) = hAPP_nat_nat(plus_plus_nat(X3208),X3208),
inference(variable_rename,[status(thm)],[fact_60_nat__mult__2]) ).
fof(i_0_1340,plain,
! [X3643] : hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X3643) = hAPP_int_int(plus_plus_int(X3643),X3643),
inference(variable_rename,[status(thm)],[fact_278_mult__2]) ).
fof(i_0_1341,plain,
! [X3640] : hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X3640) = hAPP_int_int(plus_plus_int(X3640),X3640),
inference(variable_rename,[status(thm)],[fact_275_semiring__mult__2]) ).
fof(i_0_1342,plain,
! [X3637] : hAPP_nat_real(power_power_real(X3637),number_number_of_nat(bit1(bit1(pls)))) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3637),X3637)),X3637),
inference(variable_rename,[status(thm)],[fact_272_power3__eq__cube]) ).
fof(i_0_1343,plain,
! [X3638] : hAPP_nat_nat(power_power_nat(X3638),number_number_of_nat(bit1(bit1(pls)))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3638),X3638)),X3638),
inference(variable_rename,[status(thm)],[fact_273_power3__eq__cube]) ).
fof(i_0_1344,plain,
! [X3636] : hAPP_nat_int(power_power_int(X3636),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3636),X3636)),X3636),
inference(variable_rename,[status(thm)],[fact_271_power3__eq__cube]) ).
fof(i_0_1345,plain,
! [X3936] :
( ( hAPP_nat_int(power_power_int(X3936),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int
| X3936 = zero_zero_int
| ~ is_int(X3936) )
& ( X3936 != zero_zero_int
| hAPP_nat_int(power_power_int(X3936),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
| ~ is_int(X3936) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_442_zero__eq__power2])])]) ).
fof(i_0_1346,plain,
! [X3935] :
( ( hAPP_nat_real(power_power_real(X3935),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_real
| X3935 = zero_zero_real )
& ( X3935 != zero_zero_real
| hAPP_nat_real(power_power_real(X3935),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_441_zero__eq__power2])]) ).
fof(i_0_1347,plain,
! [X3131] : hAPP_nat_real(power_power_real(number267125858f_real(X3131)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(times_times_real(number267125858f_real(X3131)),number267125858f_real(X3131)),
inference(variable_rename,[status(thm)],[fact_13_power2__eq__square__number__of]) ).
fof(i_0_1348,plain,
! [X3132] : hAPP_nat_nat(power_power_nat(number_number_of_nat(X3132)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(number_number_of_nat(X3132)),number_number_of_nat(X3132)),
inference(variable_rename,[status(thm)],[fact_14_power2__eq__square__number__of]) ).
fof(i_0_1349,plain,
! [X3130] : hAPP_nat_int(power_power_int(number_number_of_int(X3130)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(number_number_of_int(X3130)),number_number_of_int(X3130)),
inference(variable_rename,[status(thm)],[fact_12_power2__eq__square__number__of]) ).
fof(i_0_1350,plain,
! [X3138] : hAPP_nat_real(power_power_real(X3138),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(times_times_real(X3138),X3138),
inference(variable_rename,[status(thm)],[fact_23_power2__eq__square]) ).
fof(i_0_1351,plain,
! [X3649] : hAPP_real_real(times_times_real(X3649),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(X3649),X3649),
inference(variable_rename,[status(thm)],[fact_284_mult__2__right]) ).
fof(i_0_1352,plain,
! [X3647] : hAPP_real_real(times_times_real(X3647),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(X3647),X3647),
inference(variable_rename,[status(thm)],[fact_282_semiring__mult__2__right]) ).
fof(i_0_1353,plain,
! [X3646] : hAPP_nat_nat(times_times_nat(X3646),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(X3646),X3646),
inference(variable_rename,[status(thm)],[fact_281_semiring__mult__2__right]) ).
fof(i_0_1354,plain,
! [X3209] : hAPP_nat_nat(times_times_nat(X3209),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(X3209),X3209),
inference(variable_rename,[status(thm)],[fact_61_nat__mult__2__right]) ).
fof(i_0_1355,plain,
! [X3139] : hAPP_nat_nat(power_power_nat(X3139),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(X3139),X3139),
inference(variable_rename,[status(thm)],[fact_24_power2__eq__square]) ).
fof(i_0_1356,plain,
! [X3137] : hAPP_nat_int(power_power_int(X3137),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(X3137),X3137),
inference(variable_rename,[status(thm)],[fact_22_power2__eq__square]) ).
fof(i_0_1357,plain,
! [X3648] : hAPP_int_int(times_times_int(X3648),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X3648),X3648),
inference(variable_rename,[status(thm)],[fact_283_mult__2__right]) ).
fof(i_0_1358,plain,
! [X3645] : hAPP_int_int(times_times_int(X3645),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X3645),X3645),
inference(variable_rename,[status(thm)],[fact_280_semiring__mult__2__right]) ).
fof(i_0_1359,plain,
! [X3135] : hAPP_real_real(times_times_real(X3135),X3135) = hAPP_nat_real(power_power_real(X3135),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_1360,plain,
! [X3136] : hAPP_nat_nat(times_times_nat(X3136),X3136) = hAPP_nat_nat(power_power_nat(X3136),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_1361,plain,
! [X3134] : hAPP_int_int(times_times_int(X3134),X3134) = hAPP_nat_int(power_power_int(X3134),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_1362,plain,
! [X219,X220] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X219),X219)),hAPP_real_real(times_times_real(X220),X220))),zero_zero_real)),
inference(fof_simplification,[status(thm)],[fact_417_not__sum__squares__lt__zero]) ).
fof(i_0_1363,plain,
! [X219,X220] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X219),X219)),hAPP_int_int(times_times_int(X220),X220))),zero_zero_int)),
inference(fof_simplification,[status(thm)],[fact_416_not__sum__squares__lt__zero]) ).
fof(i_0_1364,plain,
! [X3212,X3213] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3212)),bit1(X3213)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3212),X3213)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3212),X3213))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3212)),bit1(X3213))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_64_rel__simps_I17_J])]) ).
fof(i_0_1365,plain,
! [X3210,X3211] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3210)),bit1(X3211)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3210),X3211)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3210),X3211))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3210)),bit1(X3211))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_63_less__int__code_I16_J])]) ).
fof(i_0_1366,plain,
! [X3216,X3217] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3216)),bit1(X3217)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3216),X3217)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3216),X3217))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3216)),bit1(X3217))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_rel__simps_I34_J])]) ).
fof(i_0_1367,plain,
! [X3214,X3215] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3214)),bit1(X3215)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3214),X3215)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3214),X3215))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3214)),bit1(X3215))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_65_less__eq__int__code_I16_J])]) ).
fof(i_0_1368,plain,
! [X3422,X3423] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3422)),bit0(X3423)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3422),X3423)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3422),X3423))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3422)),bit0(X3423))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_150_rel__simps_I16_J])]) ).
fof(i_0_1369,plain,
! [X3420,X3421] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3420)),bit0(X3421)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3420),X3421)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3420),X3421))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3420)),bit0(X3421))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_149_less__int__code_I15_J])]) ).
fof(i_0_1370,plain,
! [X3242,X3243] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3242)),bit0(X3243)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3242),X3243)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3242),X3243))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3242)),bit0(X3243))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_83_rel__simps_I33_J])]) ).
fof(i_0_1371,plain,
! [X3240,X3241] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3240)),bit0(X3241)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3240),X3241)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3240),X3241))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3240)),bit0(X3241))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_82_less__eq__int__code_I15_J])]) ).
fof(i_0_1372,plain,
! [X3419] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3419)),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3419),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3419),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3419)),pls)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_148_rel__simps_I12_J])]) ).
fof(i_0_1373,plain,
! [X3238] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3238)),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3238),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3238),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X3238)),pls)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_80_rel__simps_I29_J])]) ).
fof(i_0_1374,plain,
! [X4104] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X4104)),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4104),min)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4104),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X4104)),min)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_528_rel__simps_I13_J])]) ).
fof(i_0_1375,plain,
! [X3875] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3875)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3875),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3875),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X3875)),zero_zero_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_398_bin__less__0__simps_I4_J])]) ).
fof(i_0_1376,plain,
! [X4107] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X4107)),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4107),min)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4107),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X4107)),min)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_534_rel__simps_I30_J])]) ).
fof(i_0_1377,plain,
! [X3444] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X3444)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X3444)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X3444))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X3444))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_165_less__special_I2_J])]) ).
fof(i_0_1378,plain,
! [X3448] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X3448)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X3448)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X3448))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X3448))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_169_le__special_I2_J])]) ).
fof(i_0_1379,plain,
! [X3443] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(X3443)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X3443)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X3443))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(X3443))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_164_less__special_I2_J])]) ).
fof(i_0_1380,plain,
! [X3447] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X3447)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X3447)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X3447))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X3447))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_168_le__special_I2_J])]) ).
fof(i_0_1381,plain,
! [X3246,X3247] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3246)),bit1(X3247)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3246),X3247)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3246),X3247))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3246)),bit1(X3247))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_85_rel__simps_I15_J])]) ).
fof(i_0_1382,plain,
! [X3244,X3245] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3244)),bit1(X3245)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3244),X3245)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3244),X3245))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3244)),bit1(X3245))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_84_less__int__code_I14_J])]) ).
fof(i_0_1383,plain,
! [X3429,X3430] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3429)),bit1(X3430)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3429),X3430)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3429),X3430))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3429)),bit1(X3430))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_155_rel__simps_I32_J])]) ).
fof(i_0_1384,plain,
! [X3427,X3428] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3427)),bit1(X3428)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3427),X3428)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3427),X3428))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3427)),bit1(X3428))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_154_less__eq__int__code_I14_J])]) ).
fof(i_0_1385,plain,
! [X3632,X3633] : hAPP_int_int(times_times_int(bit1(X3632)),X3633) = hAPP_int_int(plus_plus_int(bit0(hAPP_int_int(times_times_int(X3632),X3633))),X3633),
inference(variable_rename,[status(thm)],[fact_268_mult__Bit1]) ).
fof(i_0_1386,plain,
! [X5368] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(X5368))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X5368))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(X5368))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X5368))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1059_number__of1])])]) ).
fof(i_0_1387,plain,
! [X176,X6,X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),hAPP_int_int(times_times_int(X5),X6)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),X6)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_409_zprime__power__zdvd__cancel__left]) ).
fof(i_0_1388,plain,
! [X176,X5,X6,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X152),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),hAPP_int_int(times_times_int(X5),X6)))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X152),X176)),X5)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_410_zprime__power__zdvd__cancel__right]) ).
fof(i_0_1389,plain,
! [X4105] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(X4105)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X4105)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X4105))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(X4105))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_529_rel__simps_I9_J])]) ).
fof(i_0_1390,plain,
! [X3239] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(X3239)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3239)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3239))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(X3239))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_81_rel__simps_I5_J])]) ).
fof(i_0_1391,plain,
! [X3426] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(X3426)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3426)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3426))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(X3426))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_153_rel__simps_I22_J])]) ).
fof(i_0_1392,plain,
! [X4108] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit1(X4108)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),X4108)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),X4108))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit1(X4108))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_535_rel__simps_I26_J])]) ).
fof(i_0_1393,plain,
! [X5706,X5707] :
( ~ is_int(X5706)
| ~ hBOOL(member_int(X5706,sr(X5707)))
| standardRes(X5707,X5706) = X5706 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1193_StandardRes__SR__prop])]) ).
cnf(i_0_1394,plain,
sr(X1) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),cOMBC_int_int_bool(ord_less_int,X1))),
inference(split_conjunct,[status(thm)],[i_0_1233]) ).
cnf(i_0_1395,plain,
collect_int(X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1234]) ).
fof(i_0_1396,plain,
! [X3442] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3442)),one_one_real))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3442),bit1(pls))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3442),bit1(pls)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3442)),one_one_real)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_163_less__special_I4_J])]) ).
fof(i_0_1397,plain,
! [X3446] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3446)),one_one_real))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3446),bit1(pls))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3446),bit1(pls)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3446)),one_one_real)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_167_le__special_I4_J])]) ).
fof(i_0_1398,plain,
! [X3441] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3441)),one_one_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3441),bit1(pls))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3441),bit1(pls)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3441)),one_one_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_162_less__special_I4_J])]) ).
fof(i_0_1399,plain,
! [X3445] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3445)),one_one_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3445),bit1(pls))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3445),bit1(pls)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3445)),one_one_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_166_le__special_I4_J])]) ).
fof(i_0_1400,plain,
! [X3147] : hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X3147)) = number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),X3147)),
inference(variable_rename,[status(thm)],[fact_29_add__special_I2_J]) ).
fof(i_0_1401,plain,
! [X3146] : hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X3146)) = number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),X3146)),
inference(variable_rename,[status(thm)],[fact_28_add__special_I2_J]) ).
fof(i_0_1402,plain,
! [X4292,X4293] : hAPP_int_int(minus_minus_int(bit1(X4292)),bit0(X4293)) = bit1(hAPP_int_int(minus_minus_int(X4292),X4293)),
inference(variable_rename,[status(thm)],[fact_624_diff__bin__simps_I9_J]) ).
fof(i_0_1403,plain,
! [X3621,X3622] : hAPP_int_int(plus_plus_int(bit1(X3621)),bit0(X3622)) = bit1(hAPP_int_int(plus_plus_int(X3621),X3622)),
inference(variable_rename,[status(thm)],[fact_251_add__Bit1__Bit0]) ).
fof(i_0_1404,plain,
! [X6,X5,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
& ~ hBOOL(hAPP_int_bool(zcong(X6,zero_zero_int),X152)) )
=> ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5),X6),zero_zero_int),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_663_zcong__zprime__prod__zero__contra]) ).
fof(i_0_1405,plain,
! [X447,X448,X449,X22] :
( ( is_int(X448)
& is_int(X22) )
=> ( X447 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X448),X449)),X22)
=> ( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X448))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X22))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X22),X448)) ) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X448))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X448),X22))
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X22),zero_zero_int)) ) ) )
=> ( X448 != zero_zero_int
=> hAPP_int_int(div_mod_int(X447),X448) = X22 ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1171_divmod__int__rel__mod__eq]) ).
fof(i_0_1406,plain,
! [X4294,X4295] : hAPP_int_int(minus_minus_int(bit1(X4294)),bit1(X4295)) = bit0(hAPP_int_int(minus_minus_int(X4294),X4295)),
inference(variable_rename,[status(thm)],[fact_625_diff__bin__simps_I10_J]) ).
fof(i_0_1407,plain,
! [X3628] :
( ~ is_int(X3628)
| hAPP_int_int(times_times_int(number_number_of_int(bit1(pls))),X3628) = X3628 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_256_mult__numeral__1])]) ).
fof(i_0_1408,plain,
! [X3629] : hAPP_real_real(times_times_real(number267125858f_real(bit1(pls))),X3629) = X3629,
inference(variable_rename,[status(thm)],[fact_257_mult__numeral__1]) ).
fof(i_0_1409,plain,
! [X6,X177,X5] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X6))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X5))
=> ~ hBOOL(hAPP_int_bool(zcong(X5,X6),X177)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_588_zcong__not]) ).
fof(i_0_1410,plain,
! [X73,X101,X102] :
( hBOOL(hAPP_nat_bool(X73,hAPP_nat_nat(minus_minus_nat(X101),X102)))
<=> ~ ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X101),X102))
& ~ hBOOL(hAPP_nat_bool(X73,zero_zero_nat)) )
| ? [X434] :
( X101 = hAPP_nat_nat(plus_plus_nat(X102),X434)
& ~ hBOOL(hAPP_nat_bool(X73,X434)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1032_nat__diff__split__asm]) ).
fof(i_0_1411,plain,
! [X3220,X3221] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3220)),bit0(X3221)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3220),X3221)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3220),X3221))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3220)),bit0(X3221))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_69_rel__simps_I14_J])]) ).
fof(i_0_1412,plain,
! [X3218,X3219] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3218)),bit0(X3219)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3218),X3219)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3218),X3219))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3218)),bit0(X3219))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_68_less__int__code_I13_J])]) ).
fof(i_0_1413,plain,
! [X3224,X3225] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3224)),bit0(X3225)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3224),X3225)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3224),X3225))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3224)),bit0(X3225))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_rel__simps_I31_J])]) ).
fof(i_0_1414,plain,
! [X3222,X3223] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3222)),bit0(X3223)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3222),X3223)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3222),X3223))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3222)),bit0(X3223))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_71_less__eq__int__code_I13_J])]) ).
fof(i_0_1415,plain,
! [X22,X21,X152] :
( hBOOL(hAPP_int_bool(zprime,X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X152))
=> ( ~ hBOOL(hAPP_int_bool(zcong(X22,zero_zero_int),X152))
=> ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X21),X22),zero_zero_int),X152)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_661_zcong__zmult__prop3]) ).
fof(i_0_1416,plain,
! [X3623,X3624] : hAPP_int_int(plus_plus_int(bit0(X3623)),bit1(X3624)) = bit1(hAPP_int_int(plus_plus_int(X3623),X3624)),
inference(variable_rename,[status(thm)],[fact_252_add__Bit0__Bit1]) ).
fof(i_0_1417,plain,
! [X18,X21,X22] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X21)) )
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X22)) )
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X21)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_898_dvd_Oless__trans]) ).
fof(i_0_1418,plain,
! [X21,X265,X176,X264] :
( X21 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X265),X176)),X264)
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X264))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X264),X176))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X176),X21)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_870_divides__div__not]) ).
fof(i_0_1419,plain,
! [X102,X262,X101] :
( ( is_int(X102)
& is_int(X101) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X101))
=> ( ~ hBOOL(member_int(X102,wset(hAPP_int_int(minus_minus_int(X101),one_one_int),X262)))
=> ( hBOOL(member_int(X102,wset(X101,X262)))
=> ( X102 = X101
| X102 = inv(X262,X101) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1102_wset__mem__imp__or]) ).
fof(i_0_1420,plain,
! [X18,X21,X22] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X22)) )
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X21)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_909_dvd_Ole__less__trans]) ).
fof(i_0_1421,plain,
! [X18,X21,X22] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X21)) )
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X18))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X18))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X18),X21)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_900_dvd_Oless__le__trans]) ).
fof(i_0_1422,plain,
! [X177,X23,X176] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X177),X23)),X176))
=> ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X176))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X23),X176)) ) ),
inference(fof_simplification,[status(thm)],[fact_1005_add__leE]) ).
fof(i_0_1423,plain,
! [X3424] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3424)),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3424),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3424),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3424)),pls)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_151_rel__simps_I10_J])]) ).
fof(i_0_1424,plain,
! [X3876] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3876)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3876),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3876),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X3876)),zero_zero_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_400_bin__less__0__simps_I3_J])]) ).
fof(i_0_1425,plain,
! [X3431] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3431)),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3431),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3431),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X3431)),pls)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_156_rel__simps_I27_J])]) ).
fof(i_0_1426,plain,
! [X4120] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X4120)),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4120),min)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4120),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X4120)),min)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_550_rel__simps_I11_J])]) ).
fof(i_0_1427,plain,
! [X4109] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X4109)),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4109),min)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4109),min))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X4109)),min)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_538_rel__simps_I28_J])]) ).
fof(i_0_1428,plain,
! [X4319] : hAPP_int_int(minus_minus_int(pls),bit1(X4319)) = bit1(hAPP_int_int(minus_minus_int(min),X4319)),
inference(variable_rename,[status(thm)],[fact_634_diff__bin__simps_I4_J]) ).
fof(i_0_1429,plain,
! [X161,X73] :
( ~ hBOOL(hAPP_nat_bool(X73,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X73,X161))
=> ? [X278] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X278),X161))
& ! [X435] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X435),X278))
=> ~ hBOOL(hAPP_nat_bool(X73,X435)) )
& hBOOL(hAPP_nat_bool(X73,hAPP_nat_nat(plus_plus_nat(X278),one_one_nat))) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1043_ex__least__nat__less]) ).
fof(i_0_1430,plain,
! [X3149] : hAPP_real_real(plus_plus_real(number267125858f_real(X3149)),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(X3149),bit1(pls))),
inference(variable_rename,[status(thm)],[fact_31_add__special_I3_J]) ).
fof(i_0_1431,plain,
! [X3148] : hAPP_int_int(plus_plus_int(number_number_of_int(X3148)),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(X3148),bit1(pls))),
inference(variable_rename,[status(thm)],[fact_30_add__special_I3_J]) ).
fof(i_0_1432,plain,
! [X24,X25] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X24),X25)),X24)),
inference(fof_simplification,[status(thm)],[fact_974_not__add__less1]) ).
fof(i_0_1433,plain,
! [X25,X24] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X25),X24)),X24)),
inference(fof_simplification,[status(thm)],[fact_975_not__add__less2]) ).
fof(i_0_1434,plain,
! [X30,X20] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X30)),number267125858f_real(X20)))
<=> ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X20)),number267125858f_real(X30))) ),
inference(fof_simplification,[status(thm)],[fact_50_le__number__of__eq__not__less]) ).
fof(i_0_1435,plain,
! [X30,X20] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X30)),number_number_of_nat(X20)))
<=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(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_1436,plain,
! [X30,X20] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X30)),number_number_of_int(X20)))
<=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X20)),number_number_of_int(X30))) ),
inference(fof_simplification,[status(thm)],[fact_48_le__number__of__eq__not__less]) ).
fof(i_0_1437,plain,
! [X425] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X425),X425)),zero_zero_real)),
inference(fof_simplification,[status(thm)],[fact_855_not__square__less__zero]) ).
fof(i_0_1438,plain,
! [X425] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X425),X425)),zero_zero_int)),
inference(fof_simplification,[status(thm)],[fact_856_not__square__less__zero]) ).
fof(i_0_1439,plain,
! [X40,X23,X41] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X40)),X23)) = zero_zero_nat )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X40)),X23)) = hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(times_times_int(X41),X40))),X23) ) ),
inference(fof_simplification,[status(thm)],[fact_566_nat__number__of__mult__left]) ).
fof(i_0_1440,plain,
! [X176,X177] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X177))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X176),X177)) ) ),
inference(fof_simplification,[status(thm)],[fact_1029_nat__dvd__not__less]) ).
fof(i_0_1441,plain,
! [X176,X177] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X177))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X177),X176))
=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X176),X177)) ) ),
inference(fof_simplification,[status(thm)],[fact_326_zdvd__not__zless]) ).
fof(i_0_1442,plain,
! [X177,X21] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X21))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X21),X177))
=> ~ hBOOL(hAPP_int_bool(zcong(X21,zero_zero_int),X177)) ) ),
inference(fof_simplification,[status(thm)],[fact_653_zcong__not__zero]) ).
fof(i_0_1443,plain,
! [X5704,X5705] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5705))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,standardRes(X5705,X5704)),X5705)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1192_StandardRes__ubound])]) ).
fof(i_0_1444,plain,
! [X3630] :
( ~ is_int(X3630)
| hAPP_int_int(times_times_int(X3630),number_number_of_int(bit1(pls))) = X3630 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_258_mult__numeral__1__right])]) ).
fof(i_0_1445,plain,
! [X3631] : hAPP_real_real(times_times_real(X3631),number267125858f_real(bit1(pls))) = X3631,
inference(variable_rename,[status(thm)],[fact_259_mult__numeral__1__right]) ).
fof(i_0_1446,plain,
! [X30,X218] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X30)),number_number_of_nat(X218)))
<=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X30),X218))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X30),pls)) ) ),
inference(fof_simplification,[status(thm)],[fact_420_le__nat__number__of]) ).
fof(i_0_1447,plain,
! [X161,X73] :
( ~ hBOOL(hAPP_nat_bool(X73,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X73,X161))
=> ? [X278] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X278),X161))
& ! [X435] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X435),X278))
=> ~ hBOOL(hAPP_nat_bool(X73,X435)) )
& hBOOL(hAPP_nat_bool(X73,X278)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1111_ex__least__nat__le]) ).
fof(i_0_1448,plain,
! [X3425] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(X3425)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3425)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3425))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(X3425))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_152_rel__simps_I4_J])]) ).
fof(i_0_1449,plain,
! [X4106] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(X4106)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X4106)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X4106))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(X4106))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_532_rel__simps_I8_J])]) ).
fof(i_0_1450,plain,
! [X4119] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit0(X4119)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X4119)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X4119))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit0(X4119))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_549_rel__simps_I25_J])]) ).
fof(i_0_1451,plain,
! [X3432] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(X3432)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3432)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3432))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(X3432))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_157_rel__simps_I21_J])]) ).
fof(i_0_1452,plain,
! [X4321] : hAPP_int_int(minus_minus_int(min),bit1(X4321)) = bit0(hAPP_int_int(minus_minus_int(min),X4321)),
inference(variable_rename,[status(thm)],[fact_636_diff__bin__simps_I6_J]) ).
fof(i_0_1453,plain,
! [X4320] : hAPP_int_int(minus_minus_int(min),bit0(X4320)) = bit1(hAPP_int_int(minus_minus_int(min),X4320)),
inference(variable_rename,[status(thm)],[fact_635_diff__bin__simps_I5_J]) ).
fof(i_0_1454,plain,
! [X3627] : number267125858f_real(bit1(X3627)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X3627))),number267125858f_real(X3627)),
inference(variable_rename,[status(thm)],[fact_255_number__of__Bit1]) ).
fof(i_0_1455,plain,
! [X3626] : number_number_of_int(bit1(X3626)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X3626))),number_number_of_int(X3626)),
inference(variable_rename,[status(thm)],[fact_254_number__of__Bit1]) ).
fof(i_0_1456,plain,
! [X3401,X3402] :
( ( bit1(X3401) != bit1(X3402)
| X3401 = X3402
| ~ is_int(X3401)
| ~ is_int(X3402) )
& ( X3401 != X3402
| bit1(X3401) = bit1(X3402)
| ~ is_int(X3401)
| ~ is_int(X3402) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_140_rel__simps_I51_J])])]) ).
fof(i_0_1457,plain,
! [X5724,X5725,X5726] :
( ( standardRes(X5726,X5724) != standardRes(X5726,X5725)
| hBOOL(hAPP_int_bool(zcong(X5724,X5725),X5726))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5726)) )
& ( ~ hBOOL(hAPP_int_bool(zcong(X5724,X5725),X5726))
| standardRes(X5726,X5724) = standardRes(X5726,X5725)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5726)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1197_StandardRes__prop2])])]) ).
fof(i_0_1458,plain,
! [X4264,X4265] : hAPP_int_int(minus_minus_int(bit0(X4264)),bit0(X4265)) = bit0(hAPP_int_int(minus_minus_int(X4264),X4265)),
inference(variable_rename,[status(thm)],[fact_615_diff__bin__simps_I7_J]) ).
fof(i_0_1459,plain,
! [X3528,X3529] : hAPP_int_int(plus_plus_int(bit0(X3528)),bit0(X3529)) = bit0(hAPP_int_int(plus_plus_int(X3528),X3529)),
inference(variable_rename,[status(thm)],[fact_205_add__Bit0__Bit0]) ).
fof(i_0_1460,plain,
! [X5722,X5723] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5723))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),standardRes(X5723,X5722))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1196_StandardRes__lbound])]) ).
fof(i_0_1461,plain,
! [X7,X8] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X8),X7)) )
| X7 = X8 ) ),
inference(fof_simplification,[status(thm)],[fact_923_dvd_Ole__less]) ).
fof(i_0_1462,plain,
! [X7,X8] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X8),X7)) )
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X7),X8))
& X7 != X8 ) ),
inference(fof_simplification,[status(thm)],[fact_922_dvd_Oless__le]) ).
fof(i_0_1463,plain,
! [X5,X6] :
( X5 != X6
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X6),X5)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_920_dvd_Oneq__le__trans]) ).
fof(i_0_1464,plain,
! [X21,X22] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X21),X22))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X22),X21)) )
| X21 = X22 ) ),
inference(fof_simplification,[status(thm)],[fact_917_dvd_Ole__imp__less__or__eq]) ).
fof(i_0_1465,plain,
! [X5,X6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
=> ( X5 != X6
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),X6))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X6),X5)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_916_dvd_Ole__neq__trans]) ).
fof(i_0_1466,axiom,
! [X73,X161,X38] :
( ( is_int(X161)
& is_int(X38) )
=> ( hBOOL(hAPP_int_bool(X73,hAPP_int_int(div_mod_int(X161),X38)))
<=> epred1_3(X73,X161,X38) ) ),
inference(apply_def,[status(thm)],[fact_1166_split__zmod,c_0_1235]) ).
fof(i_0_1467,plain,
! [X5702,X5703] : hBOOL(hAPP_int_bool(zcong(X5702,standardRes(X5703,X5702)),X5703)),
inference(variable_rename,[status(thm)],[fact_1191_StandardRes__prop1]) ).
fof(i_0_1468,plain,
! [X7] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X7),X7)))
<=> X7 = zero_zero_real ),
inference(fof_simplification,[status(thm)],[fact_527_not__real__square__gt__zero]) ).
fof(i_0_1469,plain,
! [X3524,X3525] : hAPP_int_int(times_times_int(bit0(X3524)),X3525) = bit0(hAPP_int_int(times_times_int(X3524),X3525)),
inference(variable_rename,[status(thm)],[fact_202_mult__Bit0]) ).
fof(i_0_1470,plain,
! [X40,X41] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(X40) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X40),pls))
=> hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(X41) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X40),pls))
=> hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X41),X40)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_77_add__nat__number__of]) ).
fof(i_0_1471,plain,
! [X177,X176] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = X177 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X177),X176)),X176) ) ),
inference(fof_simplification,[status(thm)],[fact_1181_mod__if]) ).
fof(i_0_1472,plain,
! [X177,X176] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(div_mod_nat(X177),X176) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X177),X176)),X176) ),
inference(fof_simplification,[status(thm)],[fact_1180_mod__geq]) ).
fof(i_0_1473,plain,
! [X101,X102] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X101),X102))
=> ~ hBOOL(member_int(X102,d22set(X101))) ),
inference(fof_simplification,[status(thm)],[fact_1113_d22set__le__swap]) ).
fof(i_0_1474,plain,
! [X5] :
~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),one_one_nat))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X5)) ),
inference(fof_simplification,[status(thm)],[fact_1123_gcd__lcm__complete__lattice__nat_Onot__less__bot]) ).
fof(i_0_1475,plain,
! [X5] :
~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5),zero_zero_nat)) ),
inference(fof_simplification,[status(thm)],[fact_1122_gcd__lcm__complete__lattice__nat_Onot__top__less]) ).
fof(i_0_1476,hypothesis,
! [X3093] :
( ~ is_int(X3093)
| is_int(bit1(X3093)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Int_OBit1])]) ).
fof(i_0_1477,plain,
! [X176] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X176),zero_zero_int))
=> zfact(X176) = one_one_int )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X176),zero_zero_int))
=> zfact(X176) = hAPP_int_int(times_times_int(X176),zfact(hAPP_int_int(minus_minus_int(X176),one_one_int))) ) ),
inference(fof_simplification,[status(thm)],[fact_1071_zfact_Osimps]) ).
fof(i_0_1478,plain,
! [X4296] : hAPP_int_int(minus_minus_int(pls),bit0(X4296)) = bit0(hAPP_int_int(minus_minus_int(pls),X4296)),
inference(variable_rename,[status(thm)],[fact_626_diff__bin__simps_I3_J]) ).
fof(i_0_1479,plain,
! [X302,X303] :
( ( is_int(X302)
& is_int(X303) )
=> ( X302 != X303
=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X302),X303))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X303),X302)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_677_linorder__neqE__linordered__idom]) ).
fof(i_0_1480,plain,
! [X3517,X3518] : bit1(X3517) != bit0(X3518),
inference(variable_rename,[status(thm)],[fact_196_rel__simps_I50_J]) ).
fof(i_0_1481,plain,
! [X3519,X3520] : bit0(X3519) != bit1(X3520),
inference(variable_rename,[status(thm)],[fact_197_rel__simps_I49_J]) ).
fof(i_0_1482,plain,
! [X5,X152] :
( ( hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> legendre(X5,X152) = zero_zero_int )
& ( ~ hBOOL(hAPP_int_bool(zcong(X5,zero_zero_int),X152))
=> ( ( hBOOL(hAPP_int_bool(quadRes(X152),X5))
=> legendre(X5,X152) = one_one_int )
& ( ~ hBOOL(hAPP_int_bool(quadRes(X152),X5))
=> legendre(X5,X152) = number_number_of_int(min) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_666_Legendre__def]) ).
fof(i_0_1483,plain,
! [X3918] : number267125858f_real(bit0(X3918)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(X3918))),number267125858f_real(X3918)),
inference(variable_rename,[status(thm)],[fact_422_number__of__Bit0]) ).
fof(i_0_1484,plain,
! [X3917] : number_number_of_int(bit0(X3917)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(X3917))),number_number_of_int(X3917)),
inference(variable_rename,[status(thm)],[fact_421_number__of__Bit0]) ).
fof(i_0_1485,plain,
! [X302,X303] :
( X302 != X303
=> ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X302),X303))
=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X303),X302)) ) ),
inference(fof_simplification,[status(thm)],[fact_676_linorder__neqE__linordered__idom]) ).
fof(i_0_1486,plain,
! [X21,X22] :
( X21 != X22
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X21),X22))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X22),X21)) ) ),
inference(fof_simplification,[status(thm)],[fact_892_linorder__neqE__nat]) ).
fof(i_0_1487,plain,
! [X40,X41] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = zero_zero_nat )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X41),pls))
=> hAPP_nat_nat(times_times_nat(number_number_of_nat(X41)),number_number_of_nat(X40)) = number_number_of_nat(hAPP_int_int(times_times_int(X41),X40)) ) ),
inference(fof_simplification,[status(thm)],[fact_567_mult__nat__number__of]) ).
fof(i_0_1488,plain,
! [X4100] :
( ( min != bit1(X4100)
| min = X4100
| ~ is_int(X4100) )
& ( min != X4100
| min = bit1(X4100)
| ~ is_int(X4100) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_519_rel__simps_I43_J])])]) ).
fof(i_0_1489,plain,
! [X4099] :
( ( bit1(X4099) != min
| X4099 = min
| ~ is_int(X4099) )
& ( X4099 != min
| bit1(X4099) = min
| ~ is_int(X4099) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_518_rel__simps_I47_J])])]) ).
fof(i_0_1490,plain,
! [X5698,X5699] :
( ( standardRes(X5698,X5699) != zero_zero_int
| hBOOL(hAPP_int_bool(zcong(X5699,zero_zero_int),X5698)) )
& ( ~ hBOOL(hAPP_int_bool(zcong(X5699,zero_zero_int),X5698))
| standardRes(X5698,X5699) = zero_zero_int ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1189_StandardRes__eq__zcong])]) ).
fof(i_0_1491,plain,
! [X5700,X5701] :
( ( hBOOL(hAPP_int_bool(zcong(X5700,zero_zero_int),X5701))
| standardRes(X5701,X5700) != zero_zero_int )
& ( standardRes(X5701,X5700) = zero_zero_int
| ~ hBOOL(hAPP_int_bool(zcong(X5700,zero_zero_int),X5701)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1236])]) ).
fof(i_0_1492,plain,
! [X177,X176] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X177),X176))
=> hAPP_nat_nat(plus_plus_nat(X176),hAPP_nat_nat(minus_minus_nat(X177),X176)) = X177 ),
inference(fof_simplification,[status(thm)],[fact_983_add__diff__inverse]) ).
fof(i_0_1493,plain,
! [X3515] : bit1(X3515) != pls,
inference(variable_rename,[status(thm)],[fact_194_rel__simps_I46_J]) ).
fof(i_0_1494,plain,
! [X3516] : pls != bit1(X3516),
inference(variable_rename,[status(thm)],[fact_195_rel__simps_I39_J]) ).
fof(i_0_1495,plain,
! [X3635] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),number267125858f_real(X3635)) = number267125858f_real(bit0(X3635)),
inference(variable_rename,[status(thm)],[fact_270_double__number__of__Bit0]) ).
fof(i_0_1496,plain,
! [X3634] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),number_number_of_int(X3634)) = number_number_of_int(bit0(X3634)),
inference(variable_rename,[status(thm)],[fact_269_double__number__of__Bit0]) ).
fof(i_0_1497,plain,
! [X455,X454] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X455),X454))
| hBOOL(X455) ),
inference(fof_simplification,[status(thm)],[help_fconj_2_1_U]) ).
fof(i_0_1498,plain,
! [X455,X454] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X455),X454))
| hBOOL(X454) ),
inference(fof_simplification,[status(thm)],[help_fconj_3_1_U]) ).
fof(i_0_1499,plain,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),X176)),
inference(fof_simplification,[status(thm)],[fact_894_less__not__refl]) ).
fof(i_0_1500,plain,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),X176)),
inference(fof_simplification,[status(thm)],[fact_891_less__irrefl__nat]) ).
fof(i_0_1501,plain,
! [X101] :
( X101 != one_one_nat
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X101))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X101),one_one_nat)) ) ),
inference(fof_simplification,[status(thm)],[fact_1125_gcd__lcm__complete__lattice__nat_Obot__less]) ).
fof(i_0_1502,plain,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),zero_zero_nat)),
inference(fof_simplification,[status(thm)],[fact_957_not__less0]) ).
fof(i_0_1503,plain,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),zero_zero_nat)),
inference(fof_simplification,[status(thm)],[fact_955_less__nat__zero__code]) ).
fof(i_0_1504,plain,
! [X176] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X176),zero_zero_nat)),
inference(fof_simplification,[status(thm)],[fact_878_less__zeroE]) ).
fof(i_0_1505,plain,
! [X101] :
( X101 != zero_zero_nat
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X101),zero_zero_nat))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X101)) ) ),
inference(fof_simplification,[status(thm)],[fact_1120_gcd__lcm__complete__lattice__nat_Oless__top]) ).
fof(i_0_1506,plain,
! [X454,X455] :
( ~ hBOOL(X455)
| ~ hBOOL(X454)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X455),X454)) ),
inference(fof_simplification,[status(thm)],[help_fconj_1_1_U]) ).
fof(i_0_1507,plain,
! [X3403,X3404] :
( ( bit0(X3403) != bit0(X3404)
| X3403 = X3404
| ~ is_int(X3403)
| ~ is_int(X3404) )
& ( X3403 != X3404
| bit0(X3403) = bit0(X3404)
| ~ is_int(X3403)
| ~ is_int(X3404) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_141_rel__simps_I48_J])])]) ).
fof(i_0_1508,plain,
! [X3097,X3098] :
( ~ is_int(X3097)
| ~ is_int(X3098)
| is_int(standardRes(X3097,X3098)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Residues_OStandardRes])]) ).
fof(i_0_1509,hypothesis,
! [X3092] :
( ~ is_int(X3092)
| is_int(bit0(X3092)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Int_OBit0])]) ).
fof(i_0_1510,plain,
! [X3522] :
( ( pls != bit0(X3522)
| pls = X3522
| ~ is_int(X3522) )
& ( pls != X3522
| pls = bit0(X3522)
| ~ is_int(X3522) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_199_rel__simps_I38_J])])]) ).
fof(i_0_1511,plain,
! [X3521] :
( ( bit0(X3521) != pls
| X3521 = pls
| ~ is_int(X3521) )
& ( X3521 != pls
| bit0(X3521) = pls
| ~ is_int(X3521) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_198_rel__simps_I44_J])])]) ).
fof(i_0_1512,plain,
! [X4101] : bit0(X4101) != min,
inference(variable_rename,[status(thm)],[fact_523_rel__simps_I45_J]) ).
fof(i_0_1513,plain,
! [X4102] : min != bit0(X4102),
inference(variable_rename,[status(thm)],[fact_524_rel__simps_I42_J]) ).
cnf(i_0_1514,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X1),X2)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))))),X2))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),X1)),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit1(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_1237]) ).
cnf(i_0_1515,plain,
bit0(X1) = hAPP_int_int(plus_plus_int(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1238]) ).
cnf(i_0_1516,plain,
bit1(X1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1),
inference(split_conjunct,[status(thm)],[i_0_1239]) ).
cnf(i_0_1517,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X2)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))))),X2))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),X1)),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit1(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_1240]) ).
cnf(i_0_1518,plain,
hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_1519,plain,
( X1 = esk6_0
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(zcong(s1,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_1241]) ).
cnf(i_0_1520,plain,
( hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_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),hAPP_int_int(plus_plus_int(hAPP_int_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_1242]) ).
cnf(i_0_1521,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min)))),
inference(split_conjunct,[status(thm)],[fact_605__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096]) ).
cnf(i_0_1522,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_289__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096]) ).
cnf(i_0_1523,plain,
( legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),X1)),one_one_int)) = one_one_int
| ~ hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),X1)),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_1243]) ).
cnf(i_0_1524,plain,
hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_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_604__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096]) ).
cnf(i_0_1525,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_306__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_1526,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(esk9_0),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[i_0_1244]) ).
cnf(i_0_1527,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_503_s]) ).
cnf(i_0_1528,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_310_s1]) ).
cnf(i_0_1529,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_1245]) ).
cnf(i_0_1530,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_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_1531,plain,
hBOOL(hAPP_int_bool(zcong(s1,esk7_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[i_0_1246]) ).
cnf(i_0_1532,plain,
hBOOL(hAPP_int_bool(zcong(s1,esk6_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[i_0_1241]) ).
cnf(i_0_1533,plain,
hBOOL(hAPP_int_bool(zcong(s1,s),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_307_s0p]) ).
cnf(i_0_1534,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk7_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[i_0_1246]) ).
cnf(i_0_1535,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk6_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[i_0_1241]) ).
cnf(i_0_1536,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),hAPP_int_int(plus_plus_int(hAPP_int_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_1537,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_307_s0p]) ).
cnf(i_0_1538,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_288_p0]) ).
cnf(i_0_1539,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
inference(split_conjunct,[status(thm)],[fact_291__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096]) ).
cnf(i_0_1540,plain,
hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_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_1541,plain,
legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_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_513__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096]) ).
cnf(i_0_1542,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(split_conjunct,[status(thm)],[i_0_1247]) ).
cnf(i_0_1543,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)),X2))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_1248]) ).
cnf(i_0_1544,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)),X2))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_1249]) ).
cnf(i_0_1545,plain,
( X1 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_1250]) ).
cnf(i_0_1546,plain,
( X1 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_1250]) ).
cnf(i_0_1547,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1251]) ).
cnf(i_0_1548,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1251]) ).
cnf(i_0_1549,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)),
inference(split_conjunct,[status(thm)],[i_0_1252]) ).
cnf(i_0_1550,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)),
inference(split_conjunct,[status(thm)],[i_0_1253]) ).
cnf(i_0_1551,plain,
( hBOOL(member_int(X3,wset(X2,X1)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(member_int(inv(X1,X3),wset(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1254]) ).
cnf(i_0_1552,plain,
( hBOOL(member_int(inv(X1,X3),wset(X2,X1)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(member_int(X3,wset(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1255]) ).
cnf(i_0_1553,plain,
( inv(X2,inv(X2,X1)) = X1
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(zprime,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1256]) ).
cnf(i_0_1554,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(esk3_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(esk4_0),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(split_conjunct,[status(thm)],[i_0_1257]) ).
cnf(i_0_1555,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(esk1_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(esk2_0),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_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_1258]) ).
cnf(i_0_1556,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2))),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1259]) ).
cnf(i_0_1557,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2))),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1260]) ).
cnf(i_0_1558,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_1250]) ).
cnf(i_0_1559,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_1251]) ).
cnf(i_0_1560,plain,
( X1 = number_number_of_int(bit0(bit1(pls)))
| X1 = number_number_of_int(bit1(bit1(pls)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),X1))
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1261]) ).
cnf(i_0_1561,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(minus_minus_real(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1262]) ).
cnf(i_0_1562,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1263]) ).
cnf(i_0_1563,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1264]) ).
cnf(i_0_1564,plain,
hAPP_nat_nat(power_power_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1265]) ).
cnf(i_0_1565,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1266]) ).
cnf(i_0_1566,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1267]) ).
cnf(i_0_1567,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_1268]) ).
cnf(i_0_1568,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_1269]) ).
cnf(i_0_1569,plain,
( hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X2))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(X2),one_one_int)),X1))),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1270]) ).
cnf(i_0_1570,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls)))))))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1268]) ).
cnf(i_0_1571,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))))))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1268]) ).
cnf(i_0_1572,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))))) ),
inference(split_conjunct,[status(thm)],[i_0_1269]) ).
cnf(i_0_1573,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))))) ),
inference(split_conjunct,[status(thm)],[i_0_1269]) ).
cnf(i_0_1574,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))))),
inference(split_conjunct,[status(thm)],[i_0_1271]) ).
cnf(i_0_1575,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))))),
inference(split_conjunct,[status(thm)],[i_0_1272]) ).
cnf(i_0_1576,plain,
( hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X2))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(X2),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1273]) ).
cnf(i_0_1577,plain,
hAPP_real_real(times_times_real(number267125858f_real(bit0(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X1)),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1274]) ).
cnf(i_0_1578,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1275]) ).
cnf(i_0_1579,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1276]) ).
cnf(i_0_1580,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1277]) ).
cnf(i_0_1581,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1278]) ).
cnf(i_0_1582,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1279]) ).
cnf(i_0_1583,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1280]) ).
cnf(i_0_1584,plain,
( X2 = zero_zero_nat
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1281]) ).
cnf(i_0_1585,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)))),
inference(split_conjunct,[status(thm)],[i_0_1282]) ).
cnf(i_0_1586,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)))),
inference(split_conjunct,[status(thm)],[i_0_1283]) ).
cnf(i_0_1587,plain,
( hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X3),number_number_of_nat(bit0(bit1(pls)))),X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1284]) ).
cnf(i_0_1588,plain,
( hBOOL(hAPP_int_bool(quadRes(X3),X2))
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))),X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1285]) ).
cnf(i_0_1589,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)),
inference(split_conjunct,[status(thm)],[i_0_1286]) ).
cnf(i_0_1590,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)),
inference(split_conjunct,[status(thm)],[i_0_1287]) ).
cnf(i_0_1591,plain,
hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_1288]) ).
cnf(i_0_1592,plain,
( X1 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_1289]) ).
cnf(i_0_1593,plain,
( X1 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_1289]) ).
cnf(i_0_1594,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1290]) ).
cnf(i_0_1595,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1291]) ).
cnf(i_0_1596,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1290]) ).
cnf(i_0_1597,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1291]) ).
cnf(i_0_1598,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,hAPP_int_int(times_times_int(X4),multInv(X1,X2))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X1,X2)),X2)),X3),hAPP_int_int(times_times_int(multInv(X1,X2)),X4)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1292]) ).
cnf(i_0_1599,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1)))
| hAPP_int_int(div_mod_int(number_number_of_int(bit1(X2))),number_number_of_int(bit0(X1))) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(number_number_of_int(X2)),one_one_int)),number_number_of_int(X1)))),one_one_int) ),
inference(split_conjunct,[status(thm)],[i_0_1293]) ).
cnf(i_0_1600,plain,
( hAPP_int_int(div_mod_int(number_number_of_int(bit1(X2))),number_number_of_int(bit0(X1))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X2)),number_number_of_int(X1)))),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1293]) ).
cnf(i_0_1601,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(esk11_2(X1,X2)),number_number_of_nat(bit0(bit1(pls)))),X2),X1))
| ~ hBOOL(hAPP_int_bool(quadRes(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1285]) ).
cnf(i_0_1602,plain,
hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
inference(split_conjunct,[status(thm)],[fact_609__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096]) ).
cnf(i_0_1603,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),X1))),
inference(split_conjunct,[status(thm)],[i_0_1294]) ).
cnf(i_0_1604,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X3),X2),X4),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X3),X2),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X4),multInv(X1,X2))),X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1295]) ).
cnf(i_0_1605,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(multInv(X1,multInv(X1,X2)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),multInv(X1,X2))),multInv(X1,multInv(X1,X2)))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1296]) ).
cnf(i_0_1606,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),multInv(X1,X2))),multInv(X1,multInv(X1,X2))),X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1297]) ).
cnf(i_0_1607,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X4,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X4,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),multInv(X1,X4)),hAPP_int_int(times_times_int(X2),multInv(X1,X3))),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1298]) ).
cnf(i_0_1608,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,hAPP_int_int(times_times_int(X4),multInv(X1,X3))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(X3,hAPP_int_int(times_times_int(X4),multInv(X1,X2))),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1299]) ).
cnf(i_0_1609,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(standardRes(X1,X2)),standardRes(X1,X3)),hAPP_int_int(times_times_int(X2),X3)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1300]) ).
cnf(i_0_1610,plain,
standardRes(X1,X2) = hAPP_int_int(div_mod_int(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_1301]) ).
cnf(i_0_1611,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(quadRes(X1),X2))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X3,hAPP_int_int(times_times_int(X2),multInv(X1,X3))),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1302]) ).
cnf(i_0_1612,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4),multInv(X1,X2)),hAPP_int_int(times_times_int(X4),multInv(X1,X3))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1303]) ).
cnf(i_0_1613,plain,
( hAPP_nat_int(power_power_int(number_number_of_int(min)),X2) = hAPP_nat_int(power_power_int(number_number_of_int(min)),X3)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),X2),hAPP_nat_int(power_power_int(number_number_of_int(min)),X3)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1304]) ).
cnf(i_0_1614,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(multInv(X1,X2)),X2),one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1305]) ).
cnf(i_0_1615,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(multInv(X1,X2),multInv(X1,X3)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1306]) ).
cnf(i_0_1616,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),multInv(X1,X2)),one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1307]) ).
cnf(i_0_1617,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(multInv(X1,multInv(X1,X2)),X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1308]) ).
cnf(i_0_1618,plain,
( hBOOL(hAPP_int_bool(zcong(multInv(X1,X2),multInv(X1,X3)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1309]) ).
cnf(i_0_1619,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(multInv(X1,X2),zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1310]) ).
cnf(i_0_1620,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X2,number_number_of_int(min)),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X2,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1311]) ).
cnf(i_0_1621,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),X1))
| ~ hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1312]) ).
cnf(i_0_1622,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_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_1313]) ).
cnf(i_0_1623,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))))
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1314]) ).
cnf(i_0_1624,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1315]) ).
cnf(i_0_1625,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(minus_minus_int(X1),X2)) = hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[i_0_1316]) ).
cnf(i_0_1626,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(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_1289]) ).
cnf(i_0_1627,plain,
( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_1290]) ).
cnf(i_0_1628,plain,
( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(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_1291]) ).
cnf(i_0_1629,plain,
hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X1),X2)),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1317]) ).
cnf(i_0_1630,plain,
hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X1),X2)),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1318]) ).
cnf(i_0_1631,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),X2)),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1319]) ).
cnf(i_0_1632,plain,
hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1320]) ).
cnf(i_0_1633,plain,
hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1321]) ).
cnf(i_0_1634,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X2)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1322]) ).
cnf(i_0_1635,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1313]) ).
cnf(i_0_1636,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))))),
inference(split_conjunct,[status(thm)],[i_0_1323]) ).
cnf(i_0_1637,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls)))))) ),
inference(split_conjunct,[status(thm)],[i_0_1314]) ).
cnf(i_0_1638,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls)))))),
inference(split_conjunct,[status(thm)],[i_0_1324]) ).
cnf(i_0_1639,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))))),
inference(split_conjunct,[status(thm)],[i_0_1325]) ).
cnf(i_0_1640,plain,
( d22set(hAPP_int_int(minus_minus_int(X1),number_number_of_int(bit0(bit1(pls))))) = wset(hAPP_int_int(minus_minus_int(X1),number_number_of_int(bit0(bit1(pls)))),X1)
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1326]) ).
cnf(i_0_1641,plain,
hAPP_nat_real(power_power_real(number267125858f_real(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X1)) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_1327]) ).
cnf(i_0_1642,plain,
hAPP_nat_int(power_power_int(number_number_of_int(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X1)) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_1328]) ).
cnf(i_0_1643,plain,
hAPP_int_int(times_times_int(X1),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit1(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1329]) ).
cnf(i_0_1644,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))),
inference(split_conjunct,[status(thm)],[fact_596_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J]) ).
fof(i_0_1645,plain,
! [X5363,X5364,X5365,X5366,X5367] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5367),X5363)),X5364)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5366),X5363)),X5365)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5367),X5366)),X5363)),X5364)),X5365))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5366),X5367)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5367),X5366)),X5363)),X5364)),X5365))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5367),X5363)),X5364)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5366),X5363)),X5365)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5366),X5367)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1058_nat__less__add__iff1])])]) ).
fof(i_0_1646,plain,
! [X5333,X5334,X5335,X5336,X5337] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5337),X5333)),X5334)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5336),X5333)),X5335)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5337),X5336)),X5333)),X5334)),X5335))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5336),X5337)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5337),X5336)),X5333)),X5334)),X5335))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5337),X5333)),X5334)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5336),X5333)),X5335)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5336),X5337)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1052_nat__le__add__iff1])])]) ).
cnf(i_0_1647,plain,
( X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))) != hAPP_nat_int(power_power_int(X2),number_number_of_nat(bit0(bit1(pls))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1330]) ).
cnf(i_0_1648,plain,
( X1 = X2
| hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls)))) != hAPP_nat_real(power_power_real(X2),number_number_of_nat(bit0(bit1(pls))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1331]) ).
cnf(i_0_1649,plain,
( X1 = X2
| hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit0(bit1(pls)))) != hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(bit0(bit1(pls))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1332]) ).
cnf(i_0_1650,plain,
( X1 = zero_zero_int
| X1 = one_one_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),number_number_of_int(bit0(bit1(pls))))) ),
inference(split_conjunct,[status(thm)],[i_0_1333]) ).
cnf(i_0_1651,plain,
( hAPP_int_int(div_mod_int(X1),number_number_of_int(bit0(bit1(pls)))) != one_one_int
| hAPP_int_int(div_mod_int(X1),number_number_of_int(bit0(bit1(pls)))) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_1334]) ).
cnf(i_0_1652,plain,
hAPP_int_int(div_mod_int(number_number_of_int(bit0(X1))),number_number_of_int(bit0(X2))) = hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X1)),number_number_of_int(X2))),
inference(split_conjunct,[status(thm)],[i_0_1335]) ).
fof(i_0_1653,plain,
! [X5306,X5307,X5308,X5309,X5310] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5309),X5306)),X5307)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5310),X5306)),X5308)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5307),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5310),X5309)),X5306)),X5308)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5309),X5310)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5307),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5310),X5309)),X5306)),X5308)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5309),X5306)),X5307)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5310),X5306)),X5308)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5309),X5310)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1044_nat__less__add__iff2])])]) ).
fof(i_0_1654,plain,
! [X5348,X5349,X5350,X5351,X5352] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5351),X5348)),X5349)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5352),X5348)),X5350)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5349),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5352),X5351)),X5348)),X5350)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5351),X5352)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5349),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5352),X5351)),X5348)),X5350)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5351),X5348)),X5349)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5352),X5348)),X5350)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5351),X5352)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1055_nat__le__add__iff2])])]) ).
cnf(i_0_1655,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[fact_565_pos2]) ).
cnf(i_0_1656,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[fact_511_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J]) ).
cnf(i_0_1657,plain,
( hAPP_int_int(div_mod_int(X1),number_number_of_int(bit0(bit1(pls)))) = zero_zero_int
| hAPP_int_int(div_mod_int(X1),number_number_of_int(bit0(bit1(pls)))) = one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_1334]) ).
cnf(i_0_1658,plain,
hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X1) = hAPP_real_real(plus_plus_real(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1336]) ).
cnf(i_0_1659,plain,
hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X1) = hAPP_real_real(plus_plus_real(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1337]) ).
cnf(i_0_1660,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X1) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1338]) ).
cnf(i_0_1661,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X1) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1339]) ).
cnf(i_0_1662,plain,
hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1) = hAPP_int_int(plus_plus_int(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1340]) ).
cnf(i_0_1663,plain,
hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1) = hAPP_int_int(plus_plus_int(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1341]) ).
cnf(i_0_1664,plain,
hBOOL(hAPP_int_bool(zprime,number_number_of_int(bit0(bit1(pls))))),
inference(split_conjunct,[status(thm)],[fact_89_zprime__2]) ).
cnf(i_0_1665,plain,
hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit1(bit1(pls)))) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X1)),X1),
inference(split_conjunct,[status(thm)],[i_0_1342]) ).
cnf(i_0_1666,plain,
hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit1(bit1(pls)))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X1)),X1),
inference(split_conjunct,[status(thm)],[i_0_1343]) ).
cnf(i_0_1667,plain,
hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X1)),X1),
inference(split_conjunct,[status(thm)],[i_0_1344]) ).
fof(i_0_1668,plain,
! [X5408,X5409,X5410,X5411] :
( ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5408),X5409),X5410),X5411))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X5411,X5408)),X5408)),X5409),hAPP_int_int(times_times_int(multInv(X5411,X5408)),X5410)),X5411)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1074_aux______3])]) ).
fof(i_0_1669,plain,
! [X5510,X5511,X5512] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk29_3(X5510,X5511,X5512)),esk30_3(X5510,X5511,X5512)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X5512,X5510)),X5511)),hAPP_nat_nat(X5512,hAPP_nat_nat(plus_plus_nat(X5510),X5511)))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X5512,esk29_3(X5510,X5511,X5512))),hAPP_nat_nat(X5512,esk30_3(X5510,X5511,X5512))))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X5512,X5510)),X5511)),hAPP_nat_nat(X5512,hAPP_nat_nat(plus_plus_nat(X5510),X5511)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1109_mono__nat__linear__lb])])])]) ).
cnf(i_0_1670,plain,
( X1 = zero_zero_int
| hAPP_nat_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_1345]) ).
cnf(i_0_1671,plain,
( X1 = zero_zero_real
| hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1346]) ).
fof(i_0_1672,plain,
! [X4299,X4300,X4301,X4302,X4303,X4304,X4305] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X4299),hAPP_int_int(times_times_int(X4300),X4301))),X4302)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X4303),hAPP_int_int(times_times_int(X4300),X4304))),X4305)) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4299),X4302)),hAPP_int_int(times_times_int(X4303),X4305))),hAPP_int_int(times_times_int(X4300),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4301),X4302)),hAPP_int_int(times_times_int(X4304),X4305)))),
inference(variable_rename,[status(thm)],[fact_628_xzgcda__linear__aux1]) ).
fof(i_0_1673,plain,
! [X5412,X5413,X5414,X5415] :
( ~ hBOOL(hAPP_int_bool(zcong(X5412,hAPP_int_int(times_times_int(X5413),multInv(X5414,X5415))),X5414))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5412),X5415),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X5413),multInv(X5414,X5415))),X5415)),X5414)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1075_aux______1])]) ).
fof(i_0_1674,plain,
! [X5641,X5642,X5643,X5644] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5644))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5643))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5643),X5642))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5642),hAPP_int_int(div_mod_int(X5641),X5644))),X5643)),hAPP_int_int(times_times_int(X5642),X5644))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1168_zmult2__lemma__aux4])]) ).
fof(i_0_1675,plain,
! [X5649,X5650,X5651,X5652] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5652))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5650),X5651))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5651),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5650),hAPP_int_int(div_mod_int(X5649),X5652))),X5651)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1170_zmult2__lemma__aux2])]) ).
fof(i_0_1676,plain,
! [X5718,X5719,X5720,X5721] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5721))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5719),X5720))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5720),hAPP_nat_nat(div_mod_nat(X5718),X5721))),X5719)),hAPP_nat_nat(times_times_nat(X5720),X5721))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1195_mod__lemma])]) ).
fof(i_0_1677,plain,
! [X4225,X4226,X4227,X4228,X4229] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4225),X4226)),X4227)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4225),X4228)),X4229)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4229),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4225),X4229))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4225),X4227))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4228),X4226)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_598_unique__quotient__lemma__neg])]) ).
fof(i_0_1678,plain,
! [X4236,X4237,X4238,X4239,X4240] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4236),X4237)),X4238)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4236),X4239)),X4240)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4238))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4238),X4236))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4240),X4236))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4237),X4239)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_600_unique__quotient__lemma])]) ).
fof(i_0_1679,plain,
! [X5338,X5339,X5340,X5341,X5342] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5341),X5342))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5342),X5338)),X5339)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5341),X5338)),X5340)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5342),X5341)),X5338)),X5339)),X5340) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1053_nat__diff__add__eq1])]) ).
fof(i_0_1680,plain,
! [X4219,X4220,X4221,X4222,X4223,X4224] :
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4219),X4220)),X4221) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4222),X4223)),X4224)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4222),X4223)),X4224)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4221),X4219))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4224))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4222))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4222),X4219))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4223),X4220)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_597_zdiv__mono2__neg__lemma])]) ).
fof(i_0_1681,plain,
! [X5383,X5384,X5385,X5387] :
( ( is_int(esk20_3(X5383,X5384,X5385))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5383))
| ~ hBOOL(hAPP_int_bool(X5384,X5387))
| hBOOL(hAPP_int_bool(X5384,hAPP_int_int(minus_minus_int(X5387),hAPP_int_int(times_times_int(X5383),X5385))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5385)) )
& ( hBOOL(hAPP_int_bool(X5384,esk20_3(X5383,X5384,X5385)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5383))
| ~ hBOOL(hAPP_int_bool(X5384,X5387))
| hBOOL(hAPP_int_bool(X5384,hAPP_int_int(minus_minus_int(X5387),hAPP_int_int(times_times_int(X5383),X5385))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5385)) )
& ( ~ hBOOL(hAPP_int_bool(X5384,hAPP_int_int(minus_minus_int(esk20_3(X5383,X5384,X5385)),X5385)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5383))
| ~ hBOOL(hAPP_int_bool(X5384,X5387))
| hBOOL(hAPP_int_bool(X5384,hAPP_int_int(minus_minus_int(X5387),hAPP_int_int(times_times_int(X5383),X5385))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5385)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1065_decr__mult__lemma])])])])]) ).
fof(i_0_1682,plain,
! [X5388,X5389,X5390,X5392] :
( ( is_int(esk21_3(X5388,X5389,X5390))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5388))
| ~ hBOOL(hAPP_int_bool(X5389,X5392))
| hBOOL(hAPP_int_bool(X5389,hAPP_int_int(plus_plus_int(X5392),hAPP_int_int(times_times_int(X5388),X5390))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5390)) )
& ( hBOOL(hAPP_int_bool(X5389,esk21_3(X5388,X5389,X5390)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5388))
| ~ hBOOL(hAPP_int_bool(X5389,X5392))
| hBOOL(hAPP_int_bool(X5389,hAPP_int_int(plus_plus_int(X5392),hAPP_int_int(times_times_int(X5388),X5390))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5390)) )
& ( ~ hBOOL(hAPP_int_bool(X5389,hAPP_int_int(plus_plus_int(esk21_3(X5388,X5389,X5390)),X5390)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5388))
| ~ hBOOL(hAPP_int_bool(X5389,X5392))
| hBOOL(hAPP_int_bool(X5389,hAPP_int_int(plus_plus_int(X5392),hAPP_int_int(times_times_int(X5388),X5390))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5390)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1066_incr__mult__lemma])])])])]) ).
cnf(i_0_1683,plain,
hAPP_nat_real(power_power_real(number267125858f_real(X1)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(times_times_real(number267125858f_real(X1)),number267125858f_real(X1)),
inference(split_conjunct,[status(thm)],[i_0_1347]) ).
cnf(i_0_1684,plain,
hAPP_nat_nat(power_power_nat(number_number_of_nat(X1)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X1)),
inference(split_conjunct,[status(thm)],[i_0_1348]) ).
cnf(i_0_1685,plain,
hAPP_nat_int(power_power_int(number_number_of_int(X1)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(number_number_of_int(X1)),number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[i_0_1349]) ).
fof(i_0_1686,plain,
! [X3819,X3820,X3821,X3822,X3823] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3822),hAPP_int_int(plus_plus_int(X3820),X3821)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3822),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3820),hAPP_int_int(times_times_int(X3819),X3823))),X3821)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3822),X3823)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3822),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3820),hAPP_int_int(times_times_int(X3819),X3823))),X3821)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3822),hAPP_int_int(plus_plus_int(X3820),X3821)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3822),X3823)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_373_zdvd__period])])]) ).
cnf(i_0_1687,plain,
hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(times_times_real(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1350]) ).
cnf(i_0_1688,plain,
hAPP_real_real(times_times_real(X1),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1351]) ).
cnf(i_0_1689,plain,
hAPP_real_real(times_times_real(X1),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1352]) ).
cnf(i_0_1690,plain,
hAPP_nat_nat(times_times_nat(X1),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1353]) ).
cnf(i_0_1691,plain,
hAPP_nat_nat(times_times_nat(X1),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1354]) ).
cnf(i_0_1692,plain,
hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1355]) ).
cnf(i_0_1693,plain,
hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1356]) ).
cnf(i_0_1694,plain,
hAPP_int_int(times_times_int(X1),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1357]) ).
cnf(i_0_1695,plain,
hAPP_int_int(times_times_int(X1),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_1358]) ).
cnf(i_0_1696,plain,
hAPP_real_real(times_times_real(X1),X1) = hAPP_nat_real(power_power_real(X1),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1359]) ).
cnf(i_0_1697,plain,
hAPP_nat_nat(times_times_nat(X1),X1) = hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1360]) ).
cnf(i_0_1698,plain,
hAPP_int_int(times_times_int(X1),X1) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[i_0_1361]) ).
cnf(i_0_1699,plain,
( hAPP_nat_int(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_1345]) ).
cnf(i_0_1700,plain,
( hAPP_nat_real(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_1346]) ).
cnf(i_0_1701,plain,
hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real,
inference(split_conjunct,[status(thm)],[fact_438_zero__power2]) ).
cnf(i_0_1702,plain,
hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls)))) = one_one_real,
inference(split_conjunct,[status(thm)],[fact_18_one__power2]) ).
cnf(i_0_1703,plain,
hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_439_zero__power2]) ).
cnf(i_0_1704,plain,
hAPP_nat_nat(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_1705,plain,
hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_440_zero__power2]) ).
cnf(i_0_1706,plain,
hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls)))) = one_one_int,
inference(split_conjunct,[status(thm)],[fact_16_one__power2]) ).
fof(i_0_1707,plain,
! [X5495,X5496,X5497] :
( ( is_int(esk25_3(X5495,X5496,X5497))
| hBOOL(hAPP_int_bool(X5495,X5496))
| ~ hBOOL(hAPP_int_bool(X5495,hAPP_int_int(minus_minus_int(X5497),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5496),X5497)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk25_3(X5495,X5496,X5497)),X5497))
| hBOOL(hAPP_int_bool(X5495,X5496))
| ~ hBOOL(hAPP_int_bool(X5495,hAPP_int_int(minus_minus_int(X5497),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5496),X5497)) )
& ( hBOOL(hAPP_int_bool(X5495,esk25_3(X5495,X5496,X5497)))
| hBOOL(hAPP_int_bool(X5495,X5496))
| ~ hBOOL(hAPP_int_bool(X5495,hAPP_int_int(minus_minus_int(X5497),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5496),X5497)) )
& ( ~ hBOOL(hAPP_int_bool(X5495,hAPP_int_int(minus_minus_int(esk25_3(X5495,X5496,X5497)),one_one_int)))
| hBOOL(hAPP_int_bool(X5495,X5496))
| ~ hBOOL(hAPP_int_bool(X5495,hAPP_int_int(minus_minus_int(X5497),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5496),X5497)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1105_int__less__induct])])])]) ).
fof(i_0_1708,plain,
! [X5506,X5507,X5508] :
( ( is_int(esk28_3(X5506,X5507,X5508))
| hBOOL(hAPP_int_bool(X5506,X5508))
| ~ hBOOL(hAPP_int_bool(X5506,hAPP_int_int(plus_plus_int(X5507),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5507),X5508)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5507),esk28_3(X5506,X5507,X5508)))
| hBOOL(hAPP_int_bool(X5506,X5508))
| ~ hBOOL(hAPP_int_bool(X5506,hAPP_int_int(plus_plus_int(X5507),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5507),X5508)) )
& ( hBOOL(hAPP_int_bool(X5506,esk28_3(X5506,X5507,X5508)))
| hBOOL(hAPP_int_bool(X5506,X5508))
| ~ hBOOL(hAPP_int_bool(X5506,hAPP_int_int(plus_plus_int(X5507),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5507),X5508)) )
& ( ~ hBOOL(hAPP_int_bool(X5506,hAPP_int_int(plus_plus_int(esk28_3(X5506,X5507,X5508)),one_one_int)))
| hBOOL(hAPP_int_bool(X5506,X5508))
| ~ hBOOL(hAPP_int_bool(X5506,hAPP_int_int(plus_plus_int(X5507),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5507),X5508)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1108_int__gr__induct])])])]) ).
fof(i_0_1709,plain,
! [X3901,X3902] :
( ( X3901 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3901),X3901)),hAPP_int_int(times_times_int(X3902),X3902))),zero_zero_int))
| ~ is_int(X3901)
| ~ is_int(X3902) )
& ( X3902 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3901),X3901)),hAPP_int_int(times_times_int(X3902),X3902))),zero_zero_int))
| ~ is_int(X3901)
| ~ is_int(X3902) )
& ( X3901 != zero_zero_int
| X3902 != zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3901),X3901)),hAPP_int_int(times_times_int(X3902),X3902))),zero_zero_int))
| ~ is_int(X3901)
| ~ is_int(X3902) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_413_sum__squares__le__zero__iff])])]) ).
fof(i_0_1710,plain,
! [X3903,X3904] :
( ( X3903 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3903),X3903)),hAPP_real_real(times_times_real(X3904),X3904))),zero_zero_real)) )
& ( X3904 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3903),X3903)),hAPP_real_real(times_times_real(X3904),X3904))),zero_zero_real)) )
& ( X3903 != zero_zero_real
| X3904 != zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3903),X3903)),hAPP_real_real(times_times_real(X3904),X3904))),zero_zero_real)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_414_sum__squares__le__zero__iff])])]) ).
fof(i_0_1711,plain,
! [X3909,X3910] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3909),X3909)),hAPP_real_real(times_times_real(X3910),X3910))),zero_zero_real)),
inference(variable_rename,[status(thm)],[i_0_1362]) ).
fof(i_0_1712,plain,
! [X3907,X3908] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3907),X3907)),hAPP_int_int(times_times_int(X3908),X3908))),zero_zero_int)),
inference(variable_rename,[status(thm)],[i_0_1363]) ).
cnf(i_0_1713,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1364]) ).
cnf(i_0_1714,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1365]) ).
cnf(i_0_1715,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1366]) ).
cnf(i_0_1716,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1367]) ).
fof(i_0_1717,plain,
! [X5491,X5492,X5493] :
( ( is_int(esk24_3(X5491,X5492,X5493))
| hBOOL(hAPP_int_bool(X5491,X5492))
| ~ hBOOL(hAPP_int_bool(X5491,X5493))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5492),X5493)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk24_3(X5491,X5492,X5493)),X5493))
| hBOOL(hAPP_int_bool(X5491,X5492))
| ~ hBOOL(hAPP_int_bool(X5491,X5493))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5492),X5493)) )
& ( hBOOL(hAPP_int_bool(X5491,esk24_3(X5491,X5492,X5493)))
| hBOOL(hAPP_int_bool(X5491,X5492))
| ~ hBOOL(hAPP_int_bool(X5491,X5493))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5492),X5493)) )
& ( ~ hBOOL(hAPP_int_bool(X5491,hAPP_int_int(minus_minus_int(esk24_3(X5491,X5492,X5493)),one_one_int)))
| hBOOL(hAPP_int_bool(X5491,X5492))
| ~ hBOOL(hAPP_int_bool(X5491,X5493))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5492),X5493)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1104_int__le__induct])])])]) ).
fof(i_0_1718,plain,
! [X5502,X5503,X5504] :
( ( is_int(esk27_3(X5502,X5503,X5504))
| hBOOL(hAPP_int_bool(X5502,X5504))
| ~ hBOOL(hAPP_int_bool(X5502,X5503))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5503),X5504)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5503),esk27_3(X5502,X5503,X5504)))
| hBOOL(hAPP_int_bool(X5502,X5504))
| ~ hBOOL(hAPP_int_bool(X5502,X5503))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5503),X5504)) )
& ( hBOOL(hAPP_int_bool(X5502,esk27_3(X5502,X5503,X5504)))
| hBOOL(hAPP_int_bool(X5502,X5504))
| ~ hBOOL(hAPP_int_bool(X5502,X5503))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5503),X5504)) )
& ( ~ hBOOL(hAPP_int_bool(X5502,hAPP_int_int(plus_plus_int(esk27_3(X5502,X5503,X5504)),one_one_int)))
| hBOOL(hAPP_int_bool(X5502,X5504))
| ~ hBOOL(hAPP_int_bool(X5502,X5503))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5503),X5504)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1107_int__ge__induct])])])]) ).
fof(i_0_1719,plain,
! [X4411,X4412,X4413,X4414,X4415] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4414),X4415))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4413),X4415))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4412))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4411))
| hAPP_real_real(plus_plus_real(X4412),X4411) != one_one_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4412),X4414)),hAPP_real_real(times_times_real(X4411),X4413))),X4415)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_670_convex__bound__lt])]) ).
fof(i_0_1720,plain,
! [X4416,X4417,X4418,X4419,X4420] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4419),X4420))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4418),X4420))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4417))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4416))
| hAPP_int_int(plus_plus_int(X4417),X4416) != one_one_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4417),X4419)),hAPP_int_int(times_times_int(X4416),X4418))),X4420)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_671_convex__bound__lt])]) ).
fof(i_0_1721,plain,
! [X4241,X4242,X4243] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4241),X4242)),X4243)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4243))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4241))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4242),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_601_q__neg__lemma])]) ).
fof(i_0_1722,plain,
! [X5645,X5646,X5647,X5648] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5648))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5646),X5647))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5647),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X5646),X5648)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5646),hAPP_int_int(div_mod_int(X5645),X5648))),X5647))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1169_zmult2__lemma__aux1])]) ).
fof(i_0_1723,plain,
! [X4230,X4231,X4232,X4233,X4234,X4235] :
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4230),X4231)),X4232) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4233),X4234)),X4235)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4233),X4234)),X4235)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4235),X4233))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4232))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4233))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4233),X4230))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4231),X4234)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_599_zdiv__mono2__lemma])]) ).
fof(i_0_1724,plain,
! [X5353,X5354,X5355,X5356,X5357] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5356),X5357))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5356),X5353)),X5354)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5357),X5353)),X5355)) = hAPP_nat_nat(minus_minus_nat(X5354),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5357),X5356)),X5353)),X5355)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1056_nat__diff__add__eq2])]) ).
fof(i_0_1725,plain,
! [X5637,X5638,X5639,X5640] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5640))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5639))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5639),X5638))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5638),hAPP_int_int(div_mod_int(X5637),X5640))),X5639))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1167_zmult2__lemma__aux3])]) ).
fof(i_0_1726,plain,
! [X5744,X5745,X5746,X5747,X5748,X5749,X5750,X5751,X5752,X5753] :
( ( X5744 != zero_zero_int
| hBOOL(hAPP_int_bool(X5746,X5745))
| ~ epred1_3(X5746,X5745,X5744) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5744))
| ~ is_int(X5747)
| ~ is_int(X5748)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5748))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5748),X5744))
| X5745 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5744),X5747)),X5748)
| hBOOL(hAPP_int_bool(X5746,X5748))
| ~ epred1_3(X5746,X5745,X5744) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5744),zero_zero_int))
| ~ is_int(X5749)
| ~ is_int(X5750)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5744),X5750))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5750),zero_zero_int))
| X5745 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5744),X5749)),X5750)
| hBOOL(hAPP_int_bool(X5746,X5750))
| ~ epred1_3(X5746,X5745,X5744) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| is_int(esk38_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| is_int(esk38_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| is_int(esk38_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| is_int(esk38_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| is_int(esk38_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| is_int(esk38_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| is_int(esk38_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| is_int(esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| is_int(esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| is_int(esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| is_int(esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| is_int(esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| is_int(esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| is_int(esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| X5751 = zero_zero_int
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| is_int(esk38_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| is_int(esk38_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| is_int(esk38_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| is_int(esk38_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| is_int(esk38_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| is_int(esk38_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| is_int(esk38_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| is_int(esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| is_int(esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| is_int(esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| is_int(esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| is_int(esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| is_int(esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| is_int(esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X5751,X5752,X5753)),X5751))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk38_3(X5751,X5752,X5753))),esk39_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk40_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( is_int(esk41_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5751),esk41_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X5751,X5752,X5753)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( X5752 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5751),esk40_3(X5751,X5752,X5753))),esk41_3(X5751,X5752,X5753))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) )
& ( ~ hBOOL(hAPP_int_bool(X5753,esk41_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,esk39_3(X5751,X5752,X5753)))
| ~ hBOOL(hAPP_int_bool(X5753,X5752))
| epred1_3(X5753,X5752,X5751) ) ),
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)],[i_0_1235])])])])])]) ).
cnf(i_0_1727,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1368]) ).
cnf(i_0_1728,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1369]) ).
cnf(i_0_1729,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1370]) ).
cnf(i_0_1730,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1371]) ).
fof(i_0_1731,plain,
! [X4329,X4330,X4331,X4332] : hAPP_int_int(times_times_int(twoSqu1241645765sum2sq(product_Pair_int_int(X4329,X4330))),twoSqu1241645765sum2sq(product_Pair_int_int(X4331,X4332))) = twoSqu1241645765sum2sq(product_Pair_int_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4329),X4331)),hAPP_int_int(times_times_int(X4330),X4332)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X4329),X4332)),hAPP_int_int(times_times_int(X4330),X4331)))),
inference(variable_rename,[status(thm)],[fact_639_mult__sum2sq]) ).
cnf(i_0_1732,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1372]) ).
cnf(i_0_1733,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1373]) ).
cnf(i_0_1734,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1374]) ).
fof(i_0_1735,plain,
! [X3925] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X3925)),X3925)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3925),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3925),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X3925)),X3925)),zero_zero_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_428_odd__less__0])]) ).
cnf(i_0_1736,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1375]) ).
cnf(i_0_1737,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1376]) ).
cnf(i_0_1738,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1364]) ).
cnf(i_0_1739,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1365]) ).
cnf(i_0_1740,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1366]) ).
cnf(i_0_1741,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1367]) ).
cnf(i_0_1742,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1377]) ).
cnf(i_0_1743,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1378]) ).
cnf(i_0_1744,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1379]) ).
cnf(i_0_1745,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1380]) ).
fof(i_0_1746,plain,
! [X4322,X4323] :
( ( ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4322),hAPP_int_int(minus_minus_int(X4323),one_one_int)),one_one_int),X4323))
| hBOOL(hAPP_int_bool(zcong(X4322,hAPP_int_int(minus_minus_int(X4323),one_one_int)),X4323)) )
& ( ~ hBOOL(hAPP_int_bool(zcong(X4322,hAPP_int_int(minus_minus_int(X4323),one_one_int)),X4323))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4322),hAPP_int_int(minus_minus_int(X4323),one_one_int)),one_one_int),X4323)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_637_inv__not__p__minus__1__aux])]) ).
fof(i_0_1747,plain,
! [X4244,X4245,X4246] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4244),X4245)),X4246)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4246),X4244))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4244))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4245)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_602_q__pos__lemma])]) ).
fof(i_0_1748,plain,
! [X3911,X3912] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3911),X3911)),hAPP_int_int(times_times_int(X3912),X3912))))
| X3911 != zero_zero_int
| X3912 != zero_zero_int
| ~ is_int(X3911)
| ~ is_int(X3912) )
& ( X3911 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3911),X3911)),hAPP_int_int(times_times_int(X3912),X3912))))
| ~ is_int(X3911)
| ~ is_int(X3912) )
& ( X3912 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3911),X3911)),hAPP_int_int(times_times_int(X3912),X3912))))
| ~ is_int(X3911)
| ~ is_int(X3912) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_418_sum__squares__gt__zero__iff])])]) ).
cnf(i_0_1749,plain,
hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_287_semiring__one__add__one__is__two]) ).
cnf(i_0_1750,plain,
hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_33_one__add__one__is__two]) ).
cnf(i_0_1751,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_286_semiring__one__add__one__is__two]) ).
cnf(i_0_1752,plain,
hAPP_nat_nat(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_1753,plain,
hAPP_int_int(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_1754,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_32_one__add__one__is__two]) ).
cnf(i_0_1755,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1381]) ).
cnf(i_0_1756,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1382]) ).
cnf(i_0_1757,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1383]) ).
cnf(i_0_1758,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1384]) ).
fof(i_0_1759,plain,
! [X3913,X3914] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3913),X3913)),hAPP_real_real(times_times_real(X3914),X3914))))
| X3913 != zero_zero_real
| X3914 != zero_zero_real )
& ( X3913 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3913),X3913)),hAPP_real_real(times_times_real(X3914),X3914)))) )
& ( X3914 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3913),X3913)),hAPP_real_real(times_times_real(X3914),X3914)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_419_sum__squares__gt__zero__iff])])]) ).
fof(i_0_1760,plain,
! [X5343,X5344,X5345,X5346,X5347] :
( ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5347),X5343)),X5344) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5346),X5343)),X5345)
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5347),X5346)),X5343)),X5344) = X5345
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5346),X5347)) )
& ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5347),X5346)),X5343)),X5344) != X5345
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5347),X5343)),X5344) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5346),X5343)),X5345)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5346),X5347)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1054_nat__eq__add__iff1])])]) ).
fof(i_0_1761,plain,
! [X5358,X5359,X5360,X5361,X5362] :
( ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5361),X5358)),X5359) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5362),X5358)),X5360)
| X5359 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5362),X5361)),X5358)),X5360)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5361),X5362)) )
& ( X5359 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5362),X5361)),X5358)),X5360)
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5361),X5358)),X5359) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5362),X5358)),X5360)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5361),X5362)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1057_nat__eq__add__iff2])])]) ).
cnf(i_0_1762,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1368]) ).
cnf(i_0_1763,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1369]) ).
cnf(i_0_1764,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1370]) ).
cnf(i_0_1765,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1371]) ).
cnf(i_0_1766,plain,
hAPP_int_int(times_times_int(bit1(X1)),X2) = hAPP_int_int(plus_plus_int(bit0(hAPP_int_int(times_times_int(X1),X2))),X2),
inference(split_conjunct,[status(thm)],[i_0_1385]) ).
fof(i_0_1767,plain,
! [X3812,X3813,X3814,X3815] :
( ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X3813),X3814),one_one_int),X3815))
| hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X3813),hAPP_nat_nat(times_times_nat(X3814),X3812)),one_one_int),X3815)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_371_zcong__zpower__zmult])]) ).
cnf(i_0_1768,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(X1))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1386]) ).
cnf(i_0_1769,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1372]) ).
cnf(i_0_1770,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1374]) ).
cnf(i_0_1771,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1375]) ).
cnf(i_0_1772,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1373]) ).
cnf(i_0_1773,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1376]) ).
fof(i_0_1774,plain,
! [X3887,X3888] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3888))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3888),one_one_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3888),hAPP_nat_real(power_power_real(X3888),X3887))),hAPP_nat_real(power_power_real(X3888),X3887))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_408_power__Suc__less])]) ).
fof(i_0_1775,plain,
! [X3885,X3886] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3886))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3886),one_one_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X3886),hAPP_nat_nat(power_power_nat(X3886),X3885))),hAPP_nat_nat(power_power_nat(X3886),X3885))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_407_power__Suc__less])]) ).
fof(i_0_1776,plain,
! [X3883,X3884] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3884))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3884),one_one_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3884),hAPP_nat_int(power_power_int(X3884),X3883))),hAPP_nat_int(power_power_int(X3884),X3883))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_406_power__Suc__less])]) ).
fof(i_0_1777,plain,
! [X3889,X3890,X3891,X3892] :
( ~ hBOOL(hAPP_int_bool(zprime,X3892))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3892),X3891))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3892),X3889)),hAPP_int_int(times_times_int(X3891),X3890)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3892),X3889)),X3890)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1387])]) ).
fof(i_0_1778,plain,
! [X3893,X3894,X3895,X3896] :
( ~ hBOOL(hAPP_int_bool(zprime,X3896))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3896),X3895))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3896),X3893)),hAPP_int_int(times_times_int(X3894),X3895)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3896),X3893)),X3894)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1388])]) ).
fof(i_0_1779,plain,
! [X4333,X4334] :
( ~ hBOOL(hAPP_int_bool(zprime,X4334))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4333))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4333),X4333),one_one_int),X4334))
| hBOOL(hAPP_int_bool(zcong(X4333,one_one_int),X4334))
| hBOOL(hAPP_int_bool(zcong(X4333,hAPP_int_int(minus_minus_int(X4334),one_one_int)),X4334)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_640_zcong__square])]) ).
cnf(i_0_1780,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1377]) ).
cnf(i_0_1781,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1379]) ).
cnf(i_0_1782,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1378]) ).
cnf(i_0_1783,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1380]) ).
fof(i_0_1784,plain,
! [X5150,X5151,X5152] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X5152),X5151)),hAPP_nat_nat(minus_minus_nat(X5150),X5151)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5152),X5150))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5151),X5150))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5151),X5152)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5152),X5150))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X5152),X5151)),hAPP_nat_nat(minus_minus_nat(X5150),X5151)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5151),X5150))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5151),X5152)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_990_less__diff__iff])])]) ).
fof(i_0_1785,plain,
! [X5060,X5061,X5062] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X5062),X5061)),hAPP_nat_nat(minus_minus_nat(X5060),X5061)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5062),X5060))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5061),X5060))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5061),X5062)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5062),X5060))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X5062),X5061)),hAPP_nat_nat(minus_minus_nat(X5060),X5061)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5061),X5060))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5061),X5062)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_948_le__diff__iff])])]) ).
fof(i_0_1786,plain,
! [X5708,X5709,X5710,X5711,X5712,X5713,X5714,X5715] :
( ( X5710 != zero_zero_nat
| hBOOL(hAPP_nat_bool(X5708,X5709))
| ~ hBOOL(hAPP_nat_bool(X5708,hAPP_nat_nat(div_mod_nat(X5709),X5710))) )
& ( X5710 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5712),X5710))
| X5709 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5710),X5711)),X5712)
| hBOOL(hAPP_nat_bool(X5708,X5712))
| ~ hBOOL(hAPP_nat_bool(X5708,hAPP_nat_nat(div_mod_nat(X5709),X5710))) )
& ( X5715 != zero_zero_nat
| X5715 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk37_3(X5713,X5714,X5715)),X5715))
| X5715 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) )
& ( X5714 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5715),esk36_3(X5713,X5714,X5715))),esk37_3(X5713,X5714,X5715))
| X5715 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) )
& ( ~ hBOOL(hAPP_nat_bool(X5713,esk37_3(X5713,X5714,X5715)))
| X5715 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) )
& ( X5715 != zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(X5713,X5714))
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk37_3(X5713,X5714,X5715)),X5715))
| ~ hBOOL(hAPP_nat_bool(X5713,X5714))
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) )
& ( X5714 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5715),esk36_3(X5713,X5714,X5715))),esk37_3(X5713,X5714,X5715))
| ~ hBOOL(hAPP_nat_bool(X5713,X5714))
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) )
& ( ~ hBOOL(hAPP_nat_bool(X5713,esk37_3(X5713,X5714,X5715)))
| ~ hBOOL(hAPP_nat_bool(X5713,X5714))
| hBOOL(hAPP_nat_bool(X5713,hAPP_nat_nat(div_mod_nat(X5714),X5715))) ) ),
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_1194_split__mod])])])])])]) ).
fof(i_0_1787,plain,
! [X4657,X4658,X4659,X4660] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4659),X4660))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4657),X4658))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4659))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4657))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4659),X4657)),hAPP_real_real(times_times_real(X4660),X4658))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_778_mult__mono_H])]) ).
fof(i_0_1788,plain,
! [X4645,X4646,X4647,X4648] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4647),X4648))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4645),X4646))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4648))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4645))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4647),X4645)),hAPP_real_real(times_times_real(X4648),X4646))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_775_mult__mono])]) ).
fof(i_0_1789,plain,
! [X4661,X4662,X4663,X4664] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4663),X4664))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4661),X4662))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4663))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4663),X4661)),hAPP_nat_nat(times_times_nat(X4664),X4662))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_779_mult__mono_H])]) ).
fof(i_0_1790,plain,
! [X4649,X4650,X4651,X4652] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4651),X4652))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4649),X4650))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4652))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4649))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4651),X4649)),hAPP_nat_nat(times_times_nat(X4652),X4650))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_776_mult__mono])]) ).
fof(i_0_1791,plain,
! [X4665,X4666,X4667,X4668] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4667),X4668))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4665),X4666))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4667))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4665))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4667),X4665)),hAPP_int_int(times_times_int(X4668),X4666))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_780_mult__mono_H])]) ).
fof(i_0_1792,plain,
! [X4653,X4654,X4655,X4656] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4655),X4656))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4653),X4654))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4656))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4653))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4655),X4653)),hAPP_int_int(times_times_int(X4656),X4654))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_777_mult__mono])]) ).
fof(i_0_1793,plain,
! [X4345,X4346,X4347,X4348,X4349] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4345,hAPP_int_int(times_times_int(X4346),X4347)),X4349))
| hBOOL(hAPP_int_bool(zcong(X4345,hAPP_int_int(times_times_int(X4346),X4348)),X4349))
| ~ hBOOL(hAPP_int_bool(zcong(X4347,X4348),X4349)) )
& ( ~ hBOOL(hAPP_int_bool(zcong(X4345,hAPP_int_int(times_times_int(X4346),X4348)),X4349))
| hBOOL(hAPP_int_bool(zcong(X4345,hAPP_int_int(times_times_int(X4346),X4347)),X4349))
| ~ hBOOL(hAPP_int_bool(zcong(X4347,X4348),X4349)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_645_zcong__zmult__prop2])])]) ).
fof(i_0_1794,plain,
! [X4340,X4341,X4342,X4343,X4344] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4340,hAPP_int_int(times_times_int(X4342),X4341)),X4344))
| hBOOL(hAPP_int_bool(zcong(X4340,hAPP_int_int(times_times_int(X4343),X4341)),X4344))
| ~ hBOOL(hAPP_int_bool(zcong(X4342,X4343),X4344)) )
& ( ~ hBOOL(hAPP_int_bool(zcong(X4340,hAPP_int_int(times_times_int(X4343),X4341)),X4344))
| hBOOL(hAPP_int_bool(zcong(X4340,hAPP_int_int(times_times_int(X4342),X4341)),X4344))
| ~ hBOOL(hAPP_int_bool(zcong(X4342,X4343),X4344)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_644_zcong__zmult__prop1])])]) ).
fof(i_0_1795,plain,
! [X4366,X4367,X4368] :
( ~ is_int(X4367)
| ~ is_int(X4368)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4368))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4367))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4366))
| ~ hBOOL(hAPP_int_bool(zcong(X4368,X4367),X4366))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4368),X4366))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4367),X4366))
| X4368 = X4367 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_652_zcong__less__eq])]) ).
fof(i_0_1796,plain,
! [X5442,X5443] :
( ~ hBOOL(hAPP_int_bool(zprime,X5443))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5442))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5442),X5443))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X5442),inv(X5443,X5442)),one_one_int),X5443)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1087_inv__is__inv])]) ).
fof(i_0_1797,plain,
! [X3714,X3715,X3716,X3717] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X3715),X3716)),X3717))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3714),X3716))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X3715),X3714)),X3717)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_320_power__le__dvd])]) ).
fof(i_0_1798,plain,
! [X3722,X3723,X3724,X3725] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X3723),X3724)),X3725))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3722),X3724))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X3723),X3722)),X3725)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_322_power__le__dvd])]) ).
fof(i_0_1799,plain,
! [X3718,X3719,X3720,X3721] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3719),X3720)),X3721))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3718),X3720))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3719),X3718)),X3721)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_321_power__le__dvd])]) ).
cnf(i_0_1800,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1389]) ).
cnf(i_0_1801,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1390]) ).
cnf(i_0_1802,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1391]) ).
cnf(i_0_1803,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit1(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1392]) ).
cnf(i_0_1804,plain,
( standardRes(X2,X1) = X1
| ~ is_int(X1)
| ~ hBOOL(member_int(X1,sr(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1393]) ).
cnf(i_0_1805,plain,
sr(X1) = cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),cOMBC_int_int_bool(ord_less_int,X1)),
inference(rw,[status(thm)],[i_0_1394,c_0_1395]) ).
cnf(i_0_1806,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),one_one_real))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),bit1(pls))) ),
inference(split_conjunct,[status(thm)],[i_0_1396]) ).
cnf(i_0_1807,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),bit1(pls))) ),
inference(split_conjunct,[status(thm)],[i_0_1397]) ).
cnf(i_0_1808,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),one_one_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),bit1(pls))) ),
inference(split_conjunct,[status(thm)],[i_0_1398]) ).
cnf(i_0_1809,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),one_one_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),bit1(pls))) ),
inference(split_conjunct,[status(thm)],[i_0_1399]) ).
fof(i_0_1810,plain,
! [X5585,X5586,X5587] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X5585,X5586),X5587))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X5585),X5587),hAPP_int_int(div_mod_int(X5586),X5587)),X5587)) )
& ( ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X5585),X5587),hAPP_int_int(div_mod_int(X5586),X5587)),X5587))
| hBOOL(hAPP_int_bool(zcong(X5585,X5586),X5587)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1145_zcong__zmod])]) ).
fof(i_0_1811,plain,
! [X4491,X4492,X4493,X4494] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4491),X4492)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4493),X4492)),X4494)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X4491),X4493)),X4492)),X4494),
inference(variable_rename,[status(thm)],[fact_718_combine__common__factor]) ).
fof(i_0_1812,plain,
! [X5314,X5315,X5316,X5317] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5314),X5315)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5316),X5315)),X5317)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X5314),X5316)),X5315)),X5317),
inference(variable_rename,[status(thm)],[fact_1046_left__add__mult__distrib]) ).
fof(i_0_1813,plain,
! [X4495,X4496,X4497,X4498] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4495),X4496)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4497),X4496)),X4498)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X4495),X4497)),X4496)),X4498),
inference(variable_rename,[status(thm)],[fact_719_combine__common__factor]) ).
fof(i_0_1814,plain,
! [X4499,X4500,X4501,X4502] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4499),X4500)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4501),X4500)),X4502)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X4499),X4501)),X4500)),X4502),
inference(variable_rename,[status(thm)],[fact_720_combine__common__factor]) ).
cnf(i_0_1815,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1381]) ).
cnf(i_0_1816,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1382]) ).
cnf(i_0_1817,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1383]) ).
cnf(i_0_1818,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit1(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1384]) ).
fof(i_0_1819,plain,
! [X4795,X4796,X4797] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4797),X4795)),hAPP_real_real(times_times_real(X4797),X4796)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4796),X4795))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4797),zero_zero_real)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4796),X4795))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4797),X4795)),hAPP_real_real(times_times_real(X4797),X4796)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4797),zero_zero_real)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_832_mult__less__cancel__left__neg])])]) ).
fof(i_0_1820,plain,
! [X4798,X4799,X4800] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4800),X4798)),hAPP_int_int(times_times_int(X4800),X4799)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4799),X4798))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4800),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4799),X4798))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4800),X4798)),hAPP_int_int(times_times_int(X4800),X4799)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4800),zero_zero_int)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_833_mult__less__cancel__left__neg])])]) ).
cnf(i_0_1821,plain,
hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X1)) = number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),X1)),
inference(split_conjunct,[status(thm)],[i_0_1400]) ).
cnf(i_0_1822,plain,
hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X1)) = number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),X1)),
inference(split_conjunct,[status(thm)],[i_0_1401]) ).
fof(i_0_1823,plain,
! [X4862,X4863,X4864] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4862),X4864)),hAPP_real_real(times_times_real(X4863),X4864)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4862),X4863))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4864)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4862),X4863))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4862),X4864)),hAPP_real_real(times_times_real(X4863),X4864)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4864)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_861_real__mult__less__iff1])])]) ).
fof(i_0_1824,plain,
! [X3830,X3831,X3832] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3830),X3831)),hAPP_nat_real(power_power_real(X3832),X3831)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3832))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3830),X3832)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_376_power__less__imp__less__base])]) ).
fof(i_0_1825,plain,
! [X4831,X4832,X4833] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4833),X4831)),hAPP_real_real(times_times_real(X4833),X4832)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4831),X4832))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4833)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4831),X4832))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4833),X4831)),hAPP_real_real(times_times_real(X4833),X4832)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4833)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_849_mult__less__cancel__left__pos])])]) ).
fof(i_0_1826,plain,
! [X4865,X4866,X4867] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4865),X4867)),hAPP_real_real(times_times_real(X4866),X4867)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4865),X4866))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4867)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4865),X4866))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4865),X4867)),hAPP_real_real(times_times_real(X4866),X4867)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4867)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_862_real__mult__le__cancel__iff1])])]) ).
fof(i_0_1827,plain,
! [X4868,X4869,X4870] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4870),X4868)),hAPP_real_real(times_times_real(X4870),X4869)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4868),X4869))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4870)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4868),X4869))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4870),X4868)),hAPP_real_real(times_times_real(X4870),X4869)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4870)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_863_real__mult__le__cancel__iff2])])]) ).
fof(i_0_1828,plain,
! [X5327,X5328,X5329] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X5329),X5327)),hAPP_nat_nat(times_times_nat(X5329),X5328)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5327),X5328))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5329)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5327),X5328))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X5329),X5327)),hAPP_nat_nat(times_times_nat(X5329),X5328)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5329)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1050_nat__mult__dvd__cancel1])])]) ).
fof(i_0_1829,plain,
! [X5293,X5294,X5295] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X5293),X5294)),hAPP_nat_nat(times_times_nat(X5293),X5295)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5293))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5294),X5295)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1040_dvd__mult__cancel])]) ).
fof(i_0_1830,plain,
! [X3827,X3828,X3829] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3827),X3828)),hAPP_nat_nat(power_power_nat(X3829),X3828)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3829))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3827),X3829)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_375_power__less__imp__less__base])]) ).
fof(i_0_1831,plain,
! [X4054,X4055,X4056] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X4056))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X4056),X4054)),hAPP_nat_real(power_power_real(X4056),X4055)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4054),X4055)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_497_power__less__imp__less__exp])]) ).
fof(i_0_1832,plain,
! [X4045,X4046,X4047] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X4047),X4045)),hAPP_nat_real(power_power_real(X4047),X4046)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4045),X4046))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X4047)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4045),X4046))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X4047),X4045)),hAPP_nat_real(power_power_real(X4047),X4046)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X4047)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_494_power__strict__increasing__iff])])]) ).
fof(i_0_1833,plain,
! [X5321,X5322,X5323] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5323),X5321)),hAPP_nat_nat(times_times_nat(X5323),X5322)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5321),X5322))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5323)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5321),X5322))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5323),X5321)),hAPP_nat_nat(times_times_nat(X5323),X5322)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5323)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1048_nat__mult__less__cancel1])])]) ).
fof(i_0_1834,plain,
! [X4096,X4097,X4098] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4098))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X4098),X4096)),hAPP_nat_nat(power_power_nat(X4098),X4097)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4096),X4097)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_517_nat__power__less__imp__less])]) ).
fof(i_0_1835,plain,
! [X4057,X4058,X4059] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4059))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X4059),X4057)),hAPP_nat_nat(power_power_nat(X4059),X4058)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4057),X4058)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_498_power__less__imp__less__exp])]) ).
fof(i_0_1836,plain,
! [X4048,X4049,X4050] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X4050),X4048)),hAPP_nat_nat(power_power_nat(X4050),X4049)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4048),X4049))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4050)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4048),X4049))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X4050),X4048)),hAPP_nat_nat(power_power_nat(X4050),X4049)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4050)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_495_power__strict__increasing__iff])])]) ).
fof(i_0_1837,plain,
! [X4060,X4061,X4062] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4062))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X4062),X4060)),hAPP_nat_int(power_power_int(X4062),X4061)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4060),X4061)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_499_power__less__imp__less__exp])]) ).
fof(i_0_1838,plain,
! [X4051,X4052,X4053] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X4053),X4051)),hAPP_nat_int(power_power_int(X4053),X4052)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4051),X4052))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4053)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4051),X4052))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X4053),X4051)),hAPP_nat_int(power_power_int(X4053),X4052)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4053)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_496_power__strict__increasing__iff])])]) ).
fof(i_0_1839,plain,
! [X5299,X5300,X5301] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5299),X5300)),hAPP_nat_nat(times_times_nat(X5301),X5300)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5300))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5299),X5301)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5300))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5299),X5300)),hAPP_nat_nat(times_times_nat(X5301),X5300))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5299),X5301))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5299),X5300)),hAPP_nat_nat(times_times_nat(X5301),X5300))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1042_mult__le__cancel2])])]) ).
fof(i_0_1840,plain,
! [X3681,X3682,X3683] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3683),X3681)),hAPP_nat_real(power_power_real(X3683),X3682)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3681),X3682))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3683)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3681),X3682))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3683),X3681)),hAPP_nat_real(power_power_real(X3683),X3682)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3683)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_305_power__increasing__iff])])]) ).
fof(i_0_1841,plain,
! [X3672,X3673,X3674] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3674))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3674),X3672)),hAPP_nat_real(power_power_real(X3674),X3673)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3672),X3673)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_302_power__le__imp__le__exp])]) ).
fof(i_0_1842,plain,
! [X5330,X5331,X5332] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5332),X5330)),hAPP_nat_nat(times_times_nat(X5332),X5331)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5330),X5331))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5332)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5330),X5331))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5332),X5330)),hAPP_nat_nat(times_times_nat(X5332),X5331)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5332)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1051_nat__mult__le__cancel1])])]) ).
fof(i_0_1843,plain,
! [X5296,X5297,X5298] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5296),X5297)),hAPP_nat_nat(times_times_nat(X5296),X5298)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5296))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5297),X5298)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5296))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5296),X5297)),hAPP_nat_nat(times_times_nat(X5296),X5298))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5297),X5298))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5296),X5297)),hAPP_nat_nat(times_times_nat(X5296),X5298))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1041_mult__le__cancel1])])]) ).
fof(i_0_1844,plain,
! [X4110,X4111,X4112] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X4110),X4111)),hAPP_nat_nat(power_power_nat(X4110),X4112)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4110))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4111),X4112)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_540_power__dvd__imp__le])]) ).
fof(i_0_1845,plain,
! [X3678,X3679,X3680] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3680),X3678)),hAPP_nat_nat(power_power_nat(X3680),X3679)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3678),X3679))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3680)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3678),X3679))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3680),X3678)),hAPP_nat_nat(power_power_nat(X3680),X3679)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3680)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_304_power__increasing__iff])])]) ).
fof(i_0_1846,plain,
! [X3669,X3670,X3671] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3671))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3671),X3669)),hAPP_nat_nat(power_power_nat(X3671),X3670)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3669),X3670)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_301_power__le__imp__le__exp])]) ).
fof(i_0_1847,plain,
! [X3675,X3676,X3677] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3677),X3675)),hAPP_nat_int(power_power_int(X3677),X3676)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3675),X3676))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3677)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3675),X3676))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3677),X3675)),hAPP_nat_int(power_power_int(X3677),X3676)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3677)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_303_power__increasing__iff])])]) ).
fof(i_0_1848,plain,
! [X3666,X3667,X3668] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3668))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3668),X3666)),hAPP_nat_int(power_power_int(X3668),X3667)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3666),X3667)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_300_power__le__imp__le__exp])]) ).
fof(i_0_1849,plain,
! [X3824,X3825,X3826] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3824),X3825)),hAPP_nat_int(power_power_int(X3826),X3825)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3826))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3824),X3826)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_374_power__less__imp__less__base])]) ).
fof(i_0_1850,plain,
! [X4834,X4835,X4836] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4836),X4834)),hAPP_int_int(times_times_int(X4836),X4835)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4834),X4835))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4836)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4834),X4835))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4836),X4834)),hAPP_int_int(times_times_int(X4836),X4835)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4836)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_850_mult__less__cancel__left__pos])])]) ).
cnf(i_0_1851,plain,
hAPP_int_int(minus_minus_int(bit1(X1)),bit0(X2)) = bit1(hAPP_int_int(minus_minus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1402]) ).
cnf(i_0_1852,plain,
hAPP_int_int(plus_plus_int(bit1(X1)),bit0(X2)) = bit1(hAPP_int_int(plus_plus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1403]) ).
fof(i_0_1853,plain,
! [X4392,X4393,X4394] :
( ~ hBOOL(hAPP_int_bool(zprime,X4394))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4393))
| hBOOL(hAPP_int_bool(zcong(X4393,zero_zero_int),X4394))
| hBOOL(hAPP_int_bool(zcong(X4392,zero_zero_int),X4394))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4393),X4392),zero_zero_int),X4394)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1404])]) ).
fof(i_0_1854,plain,
! [X4389,X4390,X4391] :
( ~ hBOOL(hAPP_int_bool(zprime,X4391))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4390))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4390),X4389),zero_zero_int),X4391))
| hBOOL(hAPP_int_bool(zcong(X4390,zero_zero_int),X4391))
| hBOOL(hAPP_int_bool(zcong(X4389,zero_zero_int),X4391)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_662_zcong__zprime__prod__zero])]) ).
fof(i_0_1855,plain,
! [X4335,X4336] :
( ~ is_int(X4335)
| ~ hBOOL(hAPP_int_bool(zprime,X4336))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4335))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4335),X4336))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4335),X4335),one_one_int),X4336))
| X4335 = one_one_int
| X4335 = hAPP_int_int(minus_minus_int(X4336),one_one_int) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_641_zcong__square__zless])]) ).
fof(i_0_1856,plain,
! [X5653,X5654,X5655,X5656] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5654))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5654))
| X5654 = zero_zero_int
| hAPP_int_int(div_mod_int(X5653),X5654) = X5656
| X5653 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5654),X5655)),X5656)
| ~ is_int(X5654)
| ~ is_int(X5656) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5654),X5656))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5656),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5654))
| X5654 = zero_zero_int
| hAPP_int_int(div_mod_int(X5653),X5654) = X5656
| X5653 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5654),X5655)),X5656)
| ~ is_int(X5654)
| ~ is_int(X5656) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5654))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5656))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5656),X5654))
| X5654 = zero_zero_int
| hAPP_int_int(div_mod_int(X5653),X5654) = X5656
| X5653 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5654),X5655)),X5656)
| ~ is_int(X5654)
| ~ is_int(X5656) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5654),X5656))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5656),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5656))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5656),X5654))
| X5654 = zero_zero_int
| hAPP_int_int(div_mod_int(X5653),X5654) = X5656
| X5653 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X5654),X5655)),X5656)
| ~ is_int(X5654)
| ~ is_int(X5656) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1405])])]) ).
cnf(i_0_1857,plain,
hAPP_int_int(minus_minus_int(bit1(X1)),bit1(X2)) = bit0(hAPP_int_int(minus_minus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1406]) ).
fof(i_0_1858,plain,
! [X3848,X3849,X3850] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3849),X3850))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3848))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3848),one_one_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3848),X3850)),hAPP_nat_real(power_power_real(X3848),X3849))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_382_power__strict__decreasing])]) ).
fof(i_0_1859,plain,
! [X3839,X3840,X3841] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3840),X3841))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3839))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3839),one_one_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3839),X3841)),hAPP_nat_real(power_power_real(X3839),X3840))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_379_power__decreasing])]) ).
fof(i_0_1860,plain,
! [X3845,X3846,X3847] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3846),X3847))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3845))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3845),one_one_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3845),X3847)),hAPP_nat_nat(power_power_nat(X3845),X3846))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_381_power__strict__decreasing])]) ).
fof(i_0_1861,plain,
! [X3836,X3837,X3838] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3837),X3838))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3836))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3836),one_one_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3836),X3838)),hAPP_nat_nat(power_power_nat(X3836),X3837))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_378_power__decreasing])]) ).
fof(i_0_1862,plain,
! [X3842,X3843,X3844] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3843),X3844))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3842))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3842),one_one_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3842),X3844)),hAPP_nat_int(power_power_int(X3842),X3843))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_380_power__strict__decreasing])]) ).
fof(i_0_1863,plain,
! [X3833,X3834,X3835] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3834),X3835))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3833))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3833),one_one_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3833),X3835)),hAPP_nat_int(power_power_int(X3833),X3834))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_377_power__decreasing])]) ).
fof(i_0_1864,plain,
! [X4272,X4273,X4274,X4275,X4276] :
( ~ hBOOL(hAPP_int_bool(zcong(X4274,X4275),X4276))
| ~ hBOOL(hAPP_int_bool(zcong(X4272,X4273),X4276))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(minus_minus_int(X4274),X4272),hAPP_int_int(minus_minus_int(X4275),X4273)),X4276)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_618_zcong__zdiff])]) ).
fof(i_0_1865,plain,
! [X4167,X4168,X4169,X4170,X4171] :
( ~ hBOOL(hAPP_int_bool(zcong(X4169,X4170),X4171))
| ~ hBOOL(hAPP_int_bool(zcong(X4167,X4168),X4171))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4169),X4167),hAPP_int_int(times_times_int(X4170),X4168)),X4171)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_575_zcong__zmult])]) ).
fof(i_0_1866,plain,
! [X4183,X4184,X4185,X4186,X4187] :
( ~ hBOOL(hAPP_int_bool(zcong(X4185,X4186),X4187))
| ~ hBOOL(hAPP_int_bool(zcong(X4183,X4184),X4187))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(X4185),X4183),hAPP_int_int(plus_plus_int(X4186),X4184)),X4187)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_579_zcong__zadd])]) ).
fof(i_0_1867,plain,
! [X3766,X3767,X3768] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3767),X3768))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3767))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3766))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3767),X3766)),hAPP_nat_real(power_power_real(X3768),X3766))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_340_power__strict__mono])]) ).
fof(i_0_1868,plain,
! [X3763,X3764,X3765] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3764),X3765))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3764))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3763))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3764),X3763)),hAPP_nat_nat(power_power_nat(X3765),X3763))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_339_power__strict__mono])]) ).
fof(i_0_1869,plain,
! [X3760,X3761,X3762] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3761),X3762))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3761))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3760))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3761),X3760)),hAPP_nat_int(power_power_int(X3762),X3760))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_338_power__strict__mono])]) ).
cnf(i_0_1870,plain,
( hAPP_int_int(times_times_int(number_number_of_int(bit1(pls))),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1407]) ).
cnf(i_0_1871,plain,
hAPP_real_real(times_times_real(number267125858f_real(bit1(pls))),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1408]) ).
fof(i_0_1872,plain,
! [X5424,X5425] :
( ~ hBOOL(hAPP_int_bool(zprime,X5425))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5424))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5424),hAPP_int_int(minus_minus_int(X5425),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,inv(X5425,X5424)),hAPP_int_int(minus_minus_int(X5425),one_one_int))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1080_inv__less__p__minus__1])]) ).
fof(i_0_1873,plain,
! [X5213,X5214,X5215] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5213),hAPP_nat_nat(minus_minus_nat(X5215),X5214)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5213),X5214)),X5215))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5214),X5215)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5213),X5214)),X5215))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5213),hAPP_nat_nat(minus_minus_nat(X5215),X5214)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5214),X5215)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1011_le__diff__conv2])])]) ).
fof(i_0_1874,plain,
! [X4843,X4844,X4845] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4844),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4844))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4843),X4844)),hAPP_real_real(times_times_real(X4845),X4844))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4845),X4843))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4844))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4843),X4844)),hAPP_real_real(times_times_real(X4845),X4844))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4844),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4843),X4845))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4843),X4844)),hAPP_real_real(times_times_real(X4845),X4844))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4845),X4843))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4843),X4845))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4843),X4844)),hAPP_real_real(times_times_real(X4845),X4844))) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4844))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4843),X4845))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4843),X4844)),hAPP_real_real(times_times_real(X4845),X4844))) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4844),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4845),X4843))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4843),X4844)),hAPP_real_real(times_times_real(X4845),X4844))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_853_mult__less__cancel__right__disj])])]) ).
fof(i_0_1875,plain,
! [X4837,X4838,X4839] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4837),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4837))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4837),X4838)),hAPP_real_real(times_times_real(X4837),X4839))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4839),X4838))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4837))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4837),X4838)),hAPP_real_real(times_times_real(X4837),X4839))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4837),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4838),X4839))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4837),X4838)),hAPP_real_real(times_times_real(X4837),X4839))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4839),X4838))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4838),X4839))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4837),X4838)),hAPP_real_real(times_times_real(X4837),X4839))) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4837))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4838),X4839))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4837),X4838)),hAPP_real_real(times_times_real(X4837),X4839))) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4837),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4839),X4838))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4837),X4838)),hAPP_real_real(times_times_real(X4837),X4839))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_851_mult__less__cancel__left__disj])])]) ).
fof(i_0_1876,plain,
! [X4846,X4847,X4848] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4847),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4847))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4846),X4847)),hAPP_int_int(times_times_int(X4848),X4847))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4848),X4846))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4847))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4846),X4847)),hAPP_int_int(times_times_int(X4848),X4847))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4847),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4846),X4848))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4846),X4847)),hAPP_int_int(times_times_int(X4848),X4847))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4848),X4846))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4846),X4848))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4846),X4847)),hAPP_int_int(times_times_int(X4848),X4847))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4847))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4846),X4848))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4846),X4847)),hAPP_int_int(times_times_int(X4848),X4847))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4847),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4848),X4846))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4846),X4847)),hAPP_int_int(times_times_int(X4848),X4847))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_854_mult__less__cancel__right__disj])])]) ).
fof(i_0_1877,plain,
! [X4840,X4841,X4842] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4840),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4840))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4840),X4841)),hAPP_int_int(times_times_int(X4840),X4842))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4842),X4841))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4840))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4840),X4841)),hAPP_int_int(times_times_int(X4840),X4842))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4840),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4841),X4842))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4840),X4841)),hAPP_int_int(times_times_int(X4840),X4842))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4842),X4841))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4841),X4842))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4840),X4841)),hAPP_int_int(times_times_int(X4840),X4842))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4840))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4841),X4842))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4840),X4841)),hAPP_int_int(times_times_int(X4840),X4842))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4840),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4842),X4841))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4840),X4841)),hAPP_int_int(times_times_int(X4840),X4842))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_852_mult__less__cancel__left__disj])])]) ).
fof(i_0_1878,plain,
! [X4214,X4215,X4216] :
( ~ is_int(X4214)
| ~ is_int(X4216)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4216))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4216),X4215))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4214))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4214),X4215))
| ~ hBOOL(hAPP_int_bool(zcong(X4216,X4214),X4215))
| X4216 = X4214 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_594_zcong__zless__imp__eq])]) ).
fof(i_0_1879,plain,
! [X3899,X3900] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3899),X3899)),hAPP_real_real(times_times_real(X3900),X3900)))),
inference(variable_rename,[status(thm)],[fact_412_sum__squares__ge__zero]) ).
fof(i_0_1880,plain,
! [X3897,X3898] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3897),X3897)),hAPP_int_int(times_times_int(X3898),X3898)))),
inference(variable_rename,[status(thm)],[fact_411_sum__squares__ge__zero]) ).
fof(i_0_1881,plain,
! [X4200,X4201,X4202] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4202))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4202),X4201))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4200))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4200),X4202))
| ~ hBOOL(hAPP_int_bool(zcong(X4202,X4200),X4201)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1409])]) ).
fof(i_0_1882,plain,
! [X5488,X5489,X5490] :
( ~ hBOOL(hAPP_int_bool(zprime,X5490))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5489),hAPP_int_int(minus_minus_int(X5490),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5488))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5488),X5489))
| hBOOL(member_int(X5488,wset(X5489,X5490))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1103_wset__mem])]) ).
fof(i_0_1883,plain,
! [X5205,X5206,X5207] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5206),X5207))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5205),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5207),X5205)),X5206))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1008_le__add__diff])]) ).
fof(i_0_1884,plain,
! [X3658,X3659] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3659))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3659),X3658)),hAPP_real_real(times_times_real(X3659),hAPP_nat_real(power_power_real(X3659),X3658)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_296_power__less__power__Suc])]) ).
fof(i_0_1885,plain,
! [X3656,X3657] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3657))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3657),X3656)),hAPP_nat_nat(times_times_nat(X3657),hAPP_nat_nat(power_power_nat(X3657),X3656)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_295_power__less__power__Suc])]) ).
fof(i_0_1886,plain,
! [X3654,X3655] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3655))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3655),X3654)),hAPP_int_int(times_times_int(X3655),hAPP_nat_int(power_power_int(X3655),X3654)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_294_power__less__power__Suc])]) ).
fof(i_0_1887,plain,
! [X5267,X5268,X5269,X5270,X5271,X5272,X5273] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5268),X5269))
| hBOOL(hAPP_nat_bool(X5267,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X5267,hAPP_nat_nat(minus_minus_nat(X5268),X5269))) )
& ( X5268 != hAPP_nat_nat(plus_plus_nat(X5269),X5270)
| hBOOL(hAPP_nat_bool(X5267,X5270))
| ~ hBOOL(hAPP_nat_bool(X5267,hAPP_nat_nat(minus_minus_nat(X5268),X5269))) )
& ( X5272 = hAPP_nat_nat(plus_plus_nat(X5273),esk16_3(X5271,X5272,X5273))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5272),X5273))
| hBOOL(hAPP_nat_bool(X5271,hAPP_nat_nat(minus_minus_nat(X5272),X5273))) )
& ( ~ hBOOL(hAPP_nat_bool(X5271,esk16_3(X5271,X5272,X5273)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5272),X5273))
| hBOOL(hAPP_nat_bool(X5271,hAPP_nat_nat(minus_minus_nat(X5272),X5273))) )
& ( X5272 = hAPP_nat_nat(plus_plus_nat(X5273),esk16_3(X5271,X5272,X5273))
| ~ hBOOL(hAPP_nat_bool(X5271,zero_zero_nat))
| hBOOL(hAPP_nat_bool(X5271,hAPP_nat_nat(minus_minus_nat(X5272),X5273))) )
& ( ~ hBOOL(hAPP_nat_bool(X5271,esk16_3(X5271,X5272,X5273)))
| ~ hBOOL(hAPP_nat_bool(X5271,zero_zero_nat))
| hBOOL(hAPP_nat_bool(X5271,hAPP_nat_nat(minus_minus_nat(X5272),X5273))) ) ),
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)],[i_0_1410])])])])])]) ).
fof(i_0_1888,plain,
! [X5259,X5260,X5261,X5262,X5263,X5264,X5265] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5260),X5261))
| hBOOL(hAPP_nat_bool(X5259,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X5259,hAPP_nat_nat(minus_minus_nat(X5260),X5261))) )
& ( X5260 != hAPP_nat_nat(plus_plus_nat(X5261),X5262)
| hBOOL(hAPP_nat_bool(X5259,X5262))
| ~ hBOOL(hAPP_nat_bool(X5259,hAPP_nat_nat(minus_minus_nat(X5260),X5261))) )
& ( X5264 = hAPP_nat_nat(plus_plus_nat(X5265),esk15_3(X5263,X5264,X5265))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5264),X5265))
| hBOOL(hAPP_nat_bool(X5263,hAPP_nat_nat(minus_minus_nat(X5264),X5265))) )
& ( ~ hBOOL(hAPP_nat_bool(X5263,esk15_3(X5263,X5264,X5265)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5264),X5265))
| hBOOL(hAPP_nat_bool(X5263,hAPP_nat_nat(minus_minus_nat(X5264),X5265))) )
& ( X5264 = hAPP_nat_nat(plus_plus_nat(X5265),esk15_3(X5263,X5264,X5265))
| ~ hBOOL(hAPP_nat_bool(X5263,zero_zero_nat))
| hBOOL(hAPP_nat_bool(X5263,hAPP_nat_nat(minus_minus_nat(X5264),X5265))) )
& ( ~ hBOOL(hAPP_nat_bool(X5263,esk15_3(X5263,X5264,X5265)))
| ~ hBOOL(hAPP_nat_bool(X5263,zero_zero_nat))
| hBOOL(hAPP_nat_bool(X5263,hAPP_nat_nat(minus_minus_nat(X5264),X5265))) ) ),
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_1031_nat__diff__split])])])])])]) ).
fof(i_0_1889,plain,
! [X5380,X5381,X5382] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5380),X5381))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X5382),X5380)),hAPP_int_int(times_times_int(X5382),X5381)))
| X5382 = zero_zero_int
| ~ is_int(X5382) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X5382),X5380)),hAPP_int_int(times_times_int(X5382),X5381)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5380),X5381))
| X5382 = zero_zero_int
| ~ is_int(X5382) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1063_zdvd__mono])])]) ).
fof(i_0_1890,plain,
! [X3739,X3740,X3741] :
( ~ is_int(X3739)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X3739),X3740)),hAPP_int_int(times_times_int(X3739),X3741)))
| X3739 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3740),X3741)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_328_zdvd__mult__cancel])]) ).
fof(i_0_1891,plain,
! [X5324,X5325,X5326] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X5324),X5325)),hAPP_nat_nat(times_times_nat(X5324),X5326)))
| X5324 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5325),X5326)) )
& ( X5324 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X5324),X5325)),hAPP_nat_nat(times_times_nat(X5324),X5326))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5325),X5326))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X5324),X5325)),hAPP_nat_nat(times_times_nat(X5324),X5326))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1049_nat__mult__dvd__cancel__disj])])]) ).
fof(i_0_1892,plain,
! [X4859,X4860,X4861] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4859),X4860)),hAPP_nat_nat(times_times_nat(X4861),X4860)))
| X4860 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4859),X4861)) )
& ( X4860 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4859),X4860)),hAPP_nat_nat(times_times_nat(X4861),X4860))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4859),X4861))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4859),X4860)),hAPP_nat_nat(times_times_nat(X4861),X4860))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_860_nat__mult__dvd__cancel__disj_H])])]) ).
fof(i_0_1893,plain,
! [X5546,X5547,X5548] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X5546),X5548)),hAPP_nat_nat(power_power_nat(X5547),X5548)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5546),X5547))
| X5548 = zero_zero_nat )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5546),X5547))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X5546),X5548)),hAPP_nat_nat(power_power_nat(X5547),X5548)))
| X5548 = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1129_pow__divides__eq__nat])])]) ).
fof(i_0_1894,plain,
! [X4881,X4882,X4883] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X4881),X4882)),hAPP_nat_nat(power_power_nat(X4883),X4882)))
| X4882 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4881),X4883)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_868_divides__rev])]) ).
fof(i_0_1895,plain,
! [X5549,X5550,X5551] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X5549),X5550)),hAPP_nat_int(power_power_int(X5551),X5550)))
| X5550 = zero_zero_nat
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5549),X5551)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1130_pow__divides__pow__int])]) ).
fof(i_0_1896,plain,
! [X5531,X5532,X5533] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X5531),X5533)),hAPP_nat_int(power_power_int(X5532),X5533)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5531),X5532))
| X5533 = zero_zero_nat )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5531),X5532))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X5531),X5533)),hAPP_nat_int(power_power_int(X5532),X5533)))
| X5533 = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1117_pow__divides__eq__int])])]) ).
fof(i_0_1897,plain,
! [X5161,X5162,X5163] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5161),hAPP_nat_nat(minus_minus_nat(X5162),X5163)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5161),X5163))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5163),X5162))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5161),X5162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_994_dvd__diffD])]) ).
fof(i_0_1898,plain,
! [X5158,X5159,X5160] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5158),hAPP_nat_nat(minus_minus_nat(X5159),X5160)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5158),X5159))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5160),X5159))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5158),X5160)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_993_dvd__diffD1])]) ).
fof(i_0_1899,plain,
! [X5281,X5282,X5283] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5282))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5281),X5282)),hAPP_nat_nat(times_times_nat(X5283),X5282))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5281),X5283))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5281),X5282)),hAPP_nat_nat(times_times_nat(X5283),X5282))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5282))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5281),X5283))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5281),X5282)),hAPP_nat_nat(times_times_nat(X5283),X5282))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1035_mult__less__cancel2])])]) ).
fof(i_0_1900,plain,
! [X5284,X5285,X5286] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5284))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5284),X5285)),hAPP_nat_nat(times_times_nat(X5284),X5286))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5285),X5286))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5284),X5285)),hAPP_nat_nat(times_times_nat(X5284),X5286))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5284))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5285),X5286))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5284),X5285)),hAPP_nat_nat(times_times_nat(X5284),X5286))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1036_mult__less__cancel1])])]) ).
fof(i_0_1901,plain,
! [X5112,X5113,X5114] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5112),X5113)),hAPP_nat_nat(plus_plus_nat(X5112),X5114)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5113),X5114)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5113),X5114))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5112),X5113)),hAPP_nat_nat(plus_plus_nat(X5112),X5114))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_976_nat__add__left__cancel__less])]) ).
fof(i_0_1902,plain,
! [X5174,X5175,X5176] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5174),X5175)),hAPP_nat_nat(plus_plus_nat(X5174),X5176)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5175),X5176)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5175),X5176))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5174),X5175)),hAPP_nat_nat(plus_plus_nat(X5174),X5176))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_998_nat__add__left__cancel__le])]) ).
cnf(i_0_1903,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1411]) ).
cnf(i_0_1904,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1412]) ).
cnf(i_0_1905,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1413]) ).
cnf(i_0_1906,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit0(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1414]) ).
fof(i_0_1907,plain,
! [X3816,X3817,X3818] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3816),hAPP_int_int(plus_plus_int(X3817),hAPP_int_int(times_times_int(X3816),X3818))))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3816),X3817)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3816),X3817))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3816),hAPP_int_int(plus_plus_int(X3817),hAPP_int_int(times_times_int(X3816),X3818)))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_372_zdvd__reduce])]) ).
fof(i_0_1908,plain,
! [X4386,X4387,X4388] :
( ~ hBOOL(hAPP_int_bool(zprime,X4388))
| hBOOL(hAPP_int_bool(zcong(X4387,zero_zero_int),X4388))
| hBOOL(hAPP_int_bool(zcong(X4386,zero_zero_int),X4388))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4387),X4386),zero_zero_int),X4388)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1415])]) ).
fof(i_0_1909,plain,
! [X5479,X5480,X5481] :
( ~ hBOOL(hAPP_int_bool(zprime,X5481))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5480),hAPP_int_int(minus_minus_int(X5481),one_one_int)))
| ~ hBOOL(member_int(X5479,wset(X5480,X5481)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5479),hAPP_int_int(minus_minus_int(X5481),one_one_int))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1100_wset__less])]) ).
fof(i_0_1910,plain,
! [X4247,X4248,X4249] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4249))
| ~ hBOOL(hAPP_int_bool(zprime,X4248))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4248),hAPP_int_int(times_times_int(X4249),X4247)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4248),X4249))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4248),X4247)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_603_zprime__zdvd__zmult])]) ).
fof(i_0_1911,plain,
! [X3702,X3703,X3704,X3705] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X3704),X3705))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3702),X3703))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X3704),X3702)),hAPP_nat_real(power_power_real(X3705),X3703))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_317_dvd__power__le])]) ).
fof(i_0_1912,plain,
! [X4550,X4551,X4552,X4553] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4552),X4553))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4550),X4551))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X4552),X4550)),hAPP_real_real(times_times_real(X4553),X4551))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_738_mult__dvd__mono])]) ).
fof(i_0_1913,plain,
! [X4554,X4555,X4556,X4557] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4556),X4557))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4554),X4555))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4556),X4554)),hAPP_nat_nat(times_times_nat(X4557),X4555))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_739_mult__dvd__mono])]) ).
fof(i_0_1914,plain,
! [X3710,X3711,X3712,X3713] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3712),X3713))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3710),X3711))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X3712),X3710)),hAPP_nat_nat(power_power_nat(X3713),X3711))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_319_dvd__power__le])]) ).
fof(i_0_1915,plain,
! [X5153,X5154,X5155] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5154),X5155))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5153),X5154))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X5154),X5153)),hAPP_nat_nat(minus_minus_nat(X5155),X5153))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_991_diff__less__mono])]) ).
fof(i_0_1916,plain,
! [X4934,X4935,X4936] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4935),X4936))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4935),X4934))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X4934),X4936)),hAPP_nat_nat(minus_minus_nat(X4934),X4935))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_895_diff__less__mono2])]) ).
fof(i_0_1917,plain,
! [X5124,X5125,X5126,X5127] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5126),X5127))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5124),X5125))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5126),X5124)),hAPP_nat_nat(plus_plus_nat(X5127),X5125))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_980_add__less__mono])]) ).
fof(i_0_1918,plain,
! [X5237,X5238,X5239,X5240] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5239),X5240))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5237),X5238))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5239),X5237)),hAPP_nat_nat(times_times_nat(X5240),X5238))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1020_mult__le__mono])]) ).
fof(i_0_1919,plain,
! [X5186,X5187,X5188,X5189] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5188),X5189))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5186),X5187))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5188),X5186)),hAPP_nat_nat(plus_plus_nat(X5189),X5187))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1002_add__le__mono])]) ).
fof(i_0_1920,plain,
! [X3706,X3707,X3708,X3709] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3708),X3709))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3706),X3707))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3708),X3706)),hAPP_nat_int(power_power_int(X3709),X3707))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_318_dvd__power__le])]) ).
fof(i_0_1921,plain,
! [X4558,X4559,X4560,X4561] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4560),X4561))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4558),X4559))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X4560),X4558)),hAPP_int_int(times_times_int(X4561),X4559))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_740_mult__dvd__mono])]) ).
fof(i_0_1922,plain,
! [X3192,X3193,X3194,X3195] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3194),X3195))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3192),X3193))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X3194),X3192)),hAPP_int_int(plus_plus_int(X3195),X3193))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_55_zadd__zless__mono])]) ).
fof(i_0_1923,plain,
! [X5476,X5477,X5478] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5478))
| ~ hBOOL(member_int(X5476,wset(hAPP_int_int(minus_minus_int(X5478),one_one_int),X5477)))
| hBOOL(member_int(X5476,wset(X5478,X5477))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1099_wset__subset])]) ).
fof(i_0_1924,plain,
! [X4752,X4753,X4754] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4753),X4754))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4752),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4754),X4752)),hAPP_real_real(times_times_real(X4753),X4752))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_816_mult__strict__right__mono__neg])]) ).
fof(i_0_1925,plain,
! [X4746,X4747,X4748] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4747),X4748))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4746),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4746),X4748)),hAPP_real_real(times_times_real(X4746),X4747))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_814_mult__strict__left__mono__neg])]) ).
fof(i_0_1926,plain,
! [X4675,X4676,X4677] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4676),X4677))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4675),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4677),X4675)),hAPP_real_real(times_times_real(X4676),X4675))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_783_mult__right__mono__neg])]) ).
fof(i_0_1927,plain,
! [X4669,X4670,X4671] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4670),X4671))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4669),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4669),X4671)),hAPP_real_real(times_times_real(X4669),X4670))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_781_mult__left__mono__neg])]) ).
fof(i_0_1928,plain,
! [X4755,X4756,X4757] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4756),X4757))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4755),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4757),X4755)),hAPP_int_int(times_times_int(X4756),X4755))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_817_mult__strict__right__mono__neg])]) ).
fof(i_0_1929,plain,
! [X4749,X4750,X4751] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4750),X4751))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4749),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4749),X4751)),hAPP_int_int(times_times_int(X4749),X4750))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_815_mult__strict__left__mono__neg])]) ).
fof(i_0_1930,plain,
! [X4678,X4679,X4680] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4679),X4680))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4678),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4680),X4678)),hAPP_int_int(times_times_int(X4679),X4678))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_784_mult__right__mono__neg])]) ).
fof(i_0_1931,plain,
! [X4672,X4673,X4674] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4673),X4674))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4672),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4672),X4674)),hAPP_int_int(times_times_int(X4672),X4673))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_782_mult__left__mono__neg])]) ).
cnf(i_0_1932,plain,
hAPP_int_int(plus_plus_int(bit0(X1)),bit1(X2)) = bit1(hAPP_int_int(plus_plus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1416]) ).
fof(i_0_1933,plain,
! [X4063,X4064,X4065] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4064),X4065))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X4063))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X4063),X4064)),hAPP_nat_real(power_power_real(X4063),X4065))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_500_power__strict__increasing])]) ).
fof(i_0_1934,plain,
! [X4873,X4874,X4875] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4875))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4873),X4874))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4875),X4873)),hAPP_real_real(times_times_real(X4875),X4874))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_865_real__mult__less__mono2])]) ).
fof(i_0_1935,plain,
! [X4776,X4777,X4778] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4777),X4778))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4776))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4777),X4776)),hAPP_real_real(times_times_real(X4778),X4776))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_824_mult__strict__right__mono])]) ).
fof(i_0_1936,plain,
! [X4767,X4768,X4769] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4768),X4769))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4767))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4767),X4768)),hAPP_real_real(times_times_real(X4767),X4769))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_821_mult__strict__left__mono])]) ).
fof(i_0_1937,plain,
! [X4758,X4759,X4760] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4759),X4760))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4758))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4758),X4759)),hAPP_real_real(times_times_real(X4758),X4760))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_818_comm__mult__strict__left__mono])]) ).
fof(i_0_1938,plain,
! [X3803,X3804,X3805] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3804),X3805))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3804))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3804),X3803)),hAPP_nat_real(power_power_real(X3805),X3803))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_367_power__mono])]) ).
fof(i_0_1939,plain,
! [X4027,X4028,X4029] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4028),X4029))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X4027))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X4027),X4028)),hAPP_nat_real(power_power_real(X4027),X4029))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_power__increasing])]) ).
fof(i_0_1940,plain,
! [X4699,X4700,X4701] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4700),X4701))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4699))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4700),X4699)),hAPP_real_real(times_times_real(X4701),X4699))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_791_mult__right__mono])]) ).
fof(i_0_1941,plain,
! [X4690,X4691,X4692] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4691),X4692))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4690))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4690),X4691)),hAPP_real_real(times_times_real(X4690),X4692))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_788_mult__left__mono])]) ).
fof(i_0_1942,plain,
! [X4681,X4682,X4683] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4682),X4683))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4681))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4681),X4682)),hAPP_real_real(times_times_real(X4681),X4683))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_785_comm__mult__left__mono])]) ).
fof(i_0_1943,plain,
! [X5278,X5279,X5280] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5279),X5280))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5278))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5279),X5278)),hAPP_nat_nat(times_times_nat(X5280),X5278))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1034_mult__less__mono1])]) ).
fof(i_0_1944,plain,
! [X4779,X4780,X4781] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4780),X4781))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4779))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X4780),X4779)),hAPP_nat_nat(times_times_nat(X4781),X4779))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_825_mult__strict__right__mono])]) ).
fof(i_0_1945,plain,
! [X5275,X5276,X5277] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5276),X5277))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5275))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X5275),X5276)),hAPP_nat_nat(times_times_nat(X5275),X5277))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1033_mult__less__mono2])]) ).
fof(i_0_1946,plain,
! [X4770,X4771,X4772] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4771),X4772))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4770))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X4770),X4771)),hAPP_nat_nat(times_times_nat(X4770),X4772))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_822_mult__strict__left__mono])]) ).
fof(i_0_1947,plain,
! [X4761,X4762,X4763] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4762),X4763))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4761))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X4761),X4762)),hAPP_nat_nat(times_times_nat(X4761),X4763))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_819_comm__mult__strict__left__mono])]) ).
fof(i_0_1948,plain,
! [X4066,X4067,X4068] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4067),X4068))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4066))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X4066),X4067)),hAPP_nat_nat(power_power_nat(X4066),X4068))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_501_power__strict__increasing])]) ).
fof(i_0_1949,plain,
! [X4702,X4703,X4704] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4703),X4704))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4702))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4703),X4702)),hAPP_nat_nat(times_times_nat(X4704),X4702))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_792_mult__right__mono])]) ).
fof(i_0_1950,plain,
! [X4693,X4694,X4695] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4694),X4695))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4693))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4693),X4694)),hAPP_nat_nat(times_times_nat(X4693),X4695))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_789_mult__left__mono])]) ).
fof(i_0_1951,plain,
! [X4684,X4685,X4686] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4685),X4686))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4684))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4684),X4685)),hAPP_nat_nat(times_times_nat(X4684),X4686))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_786_comm__mult__left__mono])]) ).
fof(i_0_1952,plain,
! [X3800,X3801,X3802] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3801),X3802))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3801))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3801),X3800)),hAPP_nat_nat(power_power_nat(X3802),X3800))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_366_power__mono])]) ).
fof(i_0_1953,plain,
! [X4030,X4031,X4032] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4031),X4032))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X4030))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X4030),X4031)),hAPP_nat_nat(power_power_nat(X4030),X4032))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_489_power__increasing])]) ).
fof(i_0_1954,plain,
! [X4069,X4070,X4071] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4070),X4071))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4069))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X4069),X4070)),hAPP_nat_int(power_power_int(X4069),X4071))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_502_power__strict__increasing])]) ).
fof(i_0_1955,plain,
! [X4782,X4783,X4784] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4783),X4784))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4782))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4783),X4782)),hAPP_int_int(times_times_int(X4784),X4782))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_826_mult__strict__right__mono])]) ).
fof(i_0_1956,plain,
! [X4773,X4774,X4775] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4774),X4775))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4773))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4773),X4774)),hAPP_int_int(times_times_int(X4773),X4775))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_823_mult__strict__left__mono])]) ).
fof(i_0_1957,plain,
! [X4764,X4765,X4766] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4765),X4766))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4764))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4764),X4765)),hAPP_int_int(times_times_int(X4764),X4766))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_820_comm__mult__strict__left__mono])]) ).
fof(i_0_1958,plain,
! [X3879,X3880,X3881] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3880),X3881))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3879))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3879),X3880)),hAPP_int_int(times_times_int(X3879),X3881))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_404_zmult__zless__mono2])]) ).
fof(i_0_1959,plain,
! [X3797,X3798,X3799] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3798),X3799))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3798))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3798),X3797)),hAPP_nat_int(power_power_int(X3799),X3797))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_365_power__mono])]) ).
fof(i_0_1960,plain,
! [X4033,X4034,X4035] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4034),X4035))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X4033))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X4033),X4034)),hAPP_nat_int(power_power_int(X4033),X4035))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_490_power__increasing])]) ).
fof(i_0_1961,plain,
! [X4705,X4706,X4707] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4706),X4707))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4705))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4706),X4705)),hAPP_int_int(times_times_int(X4707),X4705))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_793_mult__right__mono])]) ).
fof(i_0_1962,plain,
! [X4696,X4697,X4698] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4697),X4698))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4696))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4696),X4697)),hAPP_int_int(times_times_int(X4696),X4698))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_790_mult__left__mono])]) ).
fof(i_0_1963,plain,
! [X4687,X4688,X4689] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4688),X4689))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4687))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4687),X4688)),hAPP_int_int(times_times_int(X4687),X4689))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_787_comm__mult__left__mono])]) ).
cnf(i_0_1964,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),bit1(pls)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),one_one_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1396]) ).
cnf(i_0_1965,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),bit1(pls)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1398]) ).
cnf(i_0_1966,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),bit1(pls)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1397]) ).
cnf(i_0_1967,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),bit1(pls)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1399]) ).
fof(i_0_1968,plain,
! [X5499,X5500] :
( ( is_int(esk26_2(X5499,X5500))
| hBOOL(hAPP_int_bool(X5500,X5499)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),esk26_2(X5499,X5500)))
| hBOOL(hAPP_int_bool(X5500,hAPP_int_int(minus_minus_int(esk26_2(X5499,X5500)),one_one_int)))
| hBOOL(hAPP_int_bool(X5500,X5499)) )
& ( ~ hBOOL(hAPP_int_bool(X5500,esk26_2(X5499,X5500)))
| hBOOL(hAPP_int_bool(X5500,X5499)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1106_d22set__induct__old])])])]) ).
fof(i_0_1969,plain,
! [X4354,X4355,X4356,X4357] :
( ~ hBOOL(hAPP_int_bool(zcong(X4355,X4356),X4357))
| hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X4355),X4354),hAPP_nat_int(power_power_int(X4356),X4354)),X4357)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_647_zcong__zpower])]) ).
fof(i_0_1970,plain,
! [X4176,X4177,X4178,X4179] :
( ~ hBOOL(hAPP_int_bool(zcong(X4177,X4178),X4179))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4177),X4176),hAPP_int_int(times_times_int(X4178),X4176)),X4179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_577_zcong__scalar])]) ).
fof(i_0_1971,plain,
! [X4172,X4173,X4174,X4175] :
( ~ hBOOL(hAPP_int_bool(zcong(X4173,X4174),X4175))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4172),X4173),hAPP_int_int(times_times_int(X4172),X4174)),X4175)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_576_zcong__scalar2])]) ).
fof(i_0_1972,plain,
! [X4350,X4351,X4352,X4353] :
( ~ hBOOL(hAPP_int_bool(zcong(X4351,X4352),X4353))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(X4351),X4350),hAPP_int_int(plus_plus_int(X4352),X4350)),X4353)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_646_zcong__shift])]) ).
cnf(i_0_1973,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1390]) ).
cnf(i_0_1974,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1389]) ).
cnf(i_0_1975,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1391]) ).
cnf(i_0_1976,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit1(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1392]) ).
fof(i_0_1977,plain,
! [X4942,X4943,X4944] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4943),X4942))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4944),X4942))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4942),X4944))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4943),X4944))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4944),X4943)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4942),X4943))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4944),X4942))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4942),X4944))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4943),X4944))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4944),X4943)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1417])])]) ).
fof(i_0_1978,plain,
! [X5137,X5138,X5139] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5137),hAPP_nat_nat(minus_minus_nat(X5138),X5139)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5137),X5139)),X5138)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5137),X5139)),X5138))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5137),hAPP_nat_nat(minus_minus_nat(X5138),X5139))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_984_less__diff__conv])]) ).
fof(i_0_1979,plain,
! [X5202,X5203,X5204] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X5202),X5203)),X5204))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5202),hAPP_nat_nat(plus_plus_nat(X5204),X5203))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5202),hAPP_nat_nat(plus_plus_nat(X5204),X5203)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X5202),X5203)),X5204)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1007_le__diff__conv])]) ).
fof(i_0_1980,plain,
! [X5422,X5423] :
( ~ hBOOL(hAPP_int_bool(zprime,X5423))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5422))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5422),hAPP_int_int(minus_minus_int(X5423),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),inv(X5423,X5422))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1079_inv__g__1])]) ).
fof(i_0_1981,plain,
! [X5630,X5631] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5631))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X5631),X5630)),zero_zero_int))
| hAPP_int_int(div_mod_int(X5631),X5630) = hAPP_int_int(plus_plus_int(X5631),X5630) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1164_mod__pos__neg__trivial])]) ).
fof(i_0_1982,plain,
! [X4886,X4887,X4888,X4889] :
( X4886 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4887),X4888)),X4889)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4889))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4889),X4888))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4888),X4886)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1418])]) ).
fof(i_0_1983,plain,
! [X4736,X4737] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4736),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4736))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4736),X4737)),zero_zero_real)) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4737))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4736))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4736),X4737)),zero_zero_real)) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4736),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4737),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4736),X4737)),zero_zero_real)) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4737))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4737),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4736),X4737)),zero_zero_real)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4736))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4737),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4736),X4737)),zero_zero_real)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4736),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4737))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4736),X4737)),zero_zero_real)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_808_mult__le__0__iff])])]) ).
fof(i_0_1984,plain,
! [X4738,X4739] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4738),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4738))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4738),X4739)),zero_zero_int)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4739))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4738))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4738),X4739)),zero_zero_int)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4738),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4739),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4738),X4739)),zero_zero_int)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4739))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4739),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4738),X4739)),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4738))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4739),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4738),X4739)),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4738),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4739))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4738),X4739)),zero_zero_int)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_809_mult__le__0__iff])])]) ).
fof(i_0_1985,plain,
! [X5594,X5595,X5596] : hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(hAPP_int_int(div_mod_int(X5594),X5595)),X5596)),X5595) = hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(X5594),X5596)),X5595),
inference(variable_rename,[status(thm)],[fact_1148_zpower__zmod]) ).
fof(i_0_1986,plain,
! [X5608,X5609,X5610] : hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(hAPP_int_int(div_mod_int(X5608),X5609)),X5610)),X5609) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X5608),X5610)),X5609),
inference(variable_rename,[status(thm)],[fact_1154_zdiff__zmod__left]) ).
fof(i_0_1987,plain,
! [X5485,X5486,X5487] :
( ~ is_int(X5485)
| ~ is_int(X5487)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5487))
| hBOOL(member_int(X5485,wset(hAPP_int_int(minus_minus_int(X5487),one_one_int),X5486)))
| ~ hBOOL(member_int(X5485,wset(X5487,X5486)))
| X5485 = X5487
| X5485 = inv(X5486,X5487) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1419])]) ).
fof(i_0_1988,plain,
! [X5395,X5396,X5398] :
( ( is_int(esk23_2(X5395,X5396))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5396)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X5395,X5396)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5396)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk23_2(X5395,X5396)),X5396))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5396)) )
& ( hBOOL(hAPP_int_bool(zcong(X5395,esk23_2(X5395,X5396)),X5396))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5396)) )
& ( ~ is_int(X5398)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5398))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5398),X5396))
| ~ hBOOL(hAPP_int_bool(zcong(X5395,X5398),X5396))
| X5398 = esk23_2(X5395,X5396)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5396)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1068_zcong__zless__unique])])])])]) ).
fof(i_0_1989,plain,
! [X3737,X3738] :
( ~ is_int(X3737)
| ~ is_int(X3738)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3738))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3737))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3738),X3737))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3737),X3738))
| X3738 = X3737 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_327_zdvd__antisym__nonneg])]) ).
fof(i_0_1990,plain,
! [X5482,X5483,X5484] :
( ~ hBOOL(hAPP_int_bool(zprime,X5484))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5483),hAPP_int_int(minus_minus_int(X5484),one_one_int)))
| ~ hBOOL(member_int(X5482,wset(X5483,X5484)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5482)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1101_wset__g__1])]) ).
fof(i_0_1991,plain,
! [X4898,X4899] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4898),X4899)),X4899))
| X4898 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4899)) )
& ( X4898 != one_one_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4898),X4899)),X4899))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4899)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_874_dvd__mult__cancel2])])]) ).
fof(i_0_1992,plain,
! [X4900,X4901] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4901),X4900)),X4901))
| X4900 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4901)) )
& ( X4900 != one_one_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4901),X4900)),X4901))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4901)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_875_dvd__mult__cancel1])])]) ).
fof(i_0_1993,plain,
! [X4395,X4396,X4397] :
( ~ hBOOL(hAPP_int_bool(zprime,X4397))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4397),hAPP_nat_int(power_power_int(X4395),X4396)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4396))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4397),X4395)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_664_zpower__zdvd__prop2])]) ).
fof(i_0_1994,plain,
! [X3449,X3450,X3451,X3452] :
( ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3449),X3450)),hAPP_int_int(times_times_int(X3451),X3452)) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3449),X3452)),hAPP_int_int(times_times_int(X3451),X3450))
| X3449 = X3451
| X3450 = X3452
| ~ is_int(X3449)
| ~ is_int(X3450)
| ~ is_int(X3451)
| ~ is_int(X3452) )
& ( X3449 != X3451
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3449),X3450)),hAPP_int_int(times_times_int(X3451),X3452)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3449),X3452)),hAPP_int_int(times_times_int(X3451),X3450))
| ~ is_int(X3449)
| ~ is_int(X3450)
| ~ is_int(X3451)
| ~ is_int(X3452) )
& ( X3450 != X3452
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3449),X3450)),hAPP_int_int(times_times_int(X3451),X3452)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3449),X3452)),hAPP_int_int(times_times_int(X3451),X3450))
| ~ is_int(X3449)
| ~ is_int(X3450)
| ~ is_int(X3451)
| ~ is_int(X3452) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_170_crossproduct__eq])])]) ).
fof(i_0_1995,plain,
! [X3479,X3480,X3481,X3482] :
( ( X3481 = X3482
| X3479 = X3480
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3481),X3479)),hAPP_int_int(times_times_int(X3482),X3480)) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3481),X3480)),hAPP_int_int(times_times_int(X3482),X3479))
| ~ is_int(X3479)
| ~ is_int(X3480)
| ~ is_int(X3481)
| ~ is_int(X3482) )
& ( X3481 != X3482
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3481),X3479)),hAPP_int_int(times_times_int(X3482),X3480)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3481),X3480)),hAPP_int_int(times_times_int(X3482),X3479))
| ~ is_int(X3479)
| ~ is_int(X3480)
| ~ is_int(X3481)
| ~ is_int(X3482) )
& ( X3479 != X3480
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3481),X3479)),hAPP_int_int(times_times_int(X3482),X3480)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3481),X3480)),hAPP_int_int(times_times_int(X3482),X3479))
| ~ is_int(X3479)
| ~ is_int(X3480)
| ~ is_int(X3481)
| ~ is_int(X3482) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_179_crossproduct__noteq])])]) ).
fof(i_0_1996,plain,
! [X4789,X4790] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4790),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4789))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4790),X4789)),zero_zero_real)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_829_mult__neg__pos])]) ).
fof(i_0_1997,plain,
! [X4819,X4820] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4820))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4819),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4820),X4819)),zero_zero_real)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_843_mult__pos__neg])]) ).
fof(i_0_1998,plain,
! [X4813,X4814] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4814))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4813),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4813),X4814)),zero_zero_real)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_840_mult__pos__neg2])]) ).
fof(i_0_1999,plain,
! [X4712,X4713] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4713),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4712))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4713),X4712)),zero_zero_real)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_796_mult__nonpos__nonneg])]) ).
fof(i_0_2000,plain,
! [X4635,X4636] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4636))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4635),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4636),X4635)),zero_zero_real)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4636),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4635))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4636),X4635)),zero_zero_real)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_770_split__mult__neg__le])])]) ).
fof(i_0_2001,plain,
! [X4724,X4725] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4725))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4724),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4725),X4724)),zero_zero_real)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_802_mult__nonneg__nonpos])]) ).
fof(i_0_2002,plain,
! [X4718,X4719] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4719))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4718),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X4718),X4719)),zero_zero_real)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_799_mult__nonneg__nonpos2])]) ).
fof(i_0_2003,plain,
! [X4791,X4792] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4792),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4791))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X4792),X4791)),zero_zero_nat)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_830_mult__neg__pos])]) ).
fof(i_0_2004,plain,
! [X4821,X4822] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4822))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4821),zero_zero_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X4822),X4821)),zero_zero_nat)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_844_mult__pos__neg])]) ).
fof(i_0_2005,plain,
! [X4815,X4816] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4816))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4815),zero_zero_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X4815),X4816)),zero_zero_nat)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_841_mult__pos__neg2])]) ).
fof(i_0_2006,plain,
! [X4714,X4715] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4715),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4714))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4715),X4714)),zero_zero_nat)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_797_mult__nonpos__nonneg])]) ).
fof(i_0_2007,plain,
! [X4637,X4638] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4638))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4637),zero_zero_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4638),X4637)),zero_zero_nat)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4638),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4637))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4638),X4637)),zero_zero_nat)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_771_split__mult__neg__le])])]) ).
fof(i_0_2008,plain,
! [X4726,X4727] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4727))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4726),zero_zero_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4727),X4726)),zero_zero_nat)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_803_mult__nonneg__nonpos])]) ).
fof(i_0_2009,plain,
! [X4720,X4721] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4721))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4720),zero_zero_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X4720),X4721)),zero_zero_nat)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_800_mult__nonneg__nonpos2])]) ).
fof(i_0_2010,plain,
! [X4793,X4794] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4794),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4793))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4794),X4793)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_831_mult__neg__pos])]) ).
fof(i_0_2011,plain,
! [X4823,X4824] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4824))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4823),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4824),X4823)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_845_mult__pos__neg])]) ).
fof(i_0_2012,plain,
! [X4817,X4818] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4818))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4817),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4817),X4818)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_842_mult__pos__neg2])]) ).
fof(i_0_2013,plain,
! [X4716,X4717] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4717),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4716))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4717),X4716)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_798_mult__nonpos__nonneg])]) ).
fof(i_0_2014,plain,
! [X4639,X4640] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4640))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4639),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4640),X4639)),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4640),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4639))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4640),X4639)),zero_zero_int)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_772_split__mult__neg__le])])]) ).
fof(i_0_2015,plain,
! [X4728,X4729] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4729))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4728),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4729),X4728)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_804_mult__nonneg__nonpos])]) ).
fof(i_0_2016,plain,
! [X4722,X4723] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4723))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4722),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X4722),X4723)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_801_mult__nonneg__nonpos2])]) ).
fof(i_0_2017,plain,
! [X5080,X5081] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5081))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5080))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X5080),X5081)),X5080)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_958_diff__less])]) ).
fof(i_0_2018,plain,
! [X5401] :
( ~ hBOOL(hAPP_int_bool(zprime,X5401))
| hBOOL(hAPP_int_bool(zcong(zfact(hAPP_int_int(minus_minus_int(X5401),one_one_int)),number_number_of_int(min)),X5401)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1070_Wilson__Russ])]) ).
fof(i_0_2019,plain,
! [X4878,X4879,X4880] :
( X4880 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X4878),X4880)),X4879))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4878),X4879)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_867_divides__exp2])]) ).
fof(i_0_2020,plain,
! [X4968,X4969,X4970] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4969),X4968))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4970),X4968))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4968),X4970))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4969),X4970)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4968),X4969))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4970),X4968))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4968),X4970))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4969),X4970)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1420])])]) ).
fof(i_0_2021,plain,
! [X4947,X4948,X4949] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4948),X4947))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4949),X4947))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4948),X4949))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4949),X4948)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4947),X4948))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4949),X4947))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4948),X4949))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4949),X4948)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1421])])]) ).
fof(i_0_2022,plain,
! [X4616,X4617,X4618] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4617),X4618))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4617),hAPP_nat_nat(plus_plus_nat(X4618),X4616)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4617),X4616)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_763_divides__add__revr])]) ).
fof(i_0_2023,plain,
! [X5588,X5589,X5590] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5588),hAPP_int_int(div_mod_int(X5589),X5590)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5588),X5590))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5588),X5589)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1146_zdvd__zmod__imp__zdvd])]) ).
fof(i_0_2024,plain,
! [X4277,X4278,X4279] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4277),hAPP_int_int(minus_minus_int(X4278),X4279)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4277),X4279))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4277),X4278)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_619_zdvd__zdiffD])]) ).
fof(i_0_2025,plain,
! [X4532,X4533,X4534] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X4532),X4533)),X4534))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4532),X4534)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_732_dvd__mult__left])]) ).
fof(i_0_2026,plain,
! [X4523,X4524,X4525] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X4523),X4524)),X4525))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4524),X4525)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_729_dvd__mult__right])]) ).
fof(i_0_2027,plain,
! [X4535,X4536,X4537] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4535),X4536)),X4537))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4535),X4537)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_733_dvd__mult__left])]) ).
fof(i_0_2028,plain,
! [X4526,X4527,X4528] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4526),X4527)),X4528))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4527),X4528)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_730_dvd__mult__right])]) ).
fof(i_0_2029,plain,
! [X5132,X5133,X5134] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5132),X5133)),X5134))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5132),X5134)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_982_add__lessD1])]) ).
fof(i_0_2030,plain,
! [X5196,X5197,X5198] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5196),X5198))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5196),X5197)),X5198)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5197),X5198))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5196),X5197)),X5198)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1422])])]) ).
fof(i_0_2031,plain,
! [X5193,X5194,X5195] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5193),X5194)),X5195))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5193),X5195)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1004_add__leD1])]) ).
fof(i_0_2032,plain,
! [X5190,X5191,X5192] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5190),X5191)),X5192))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5191),X5192)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1003_add__leD2])]) ).
fof(i_0_2033,plain,
! [X4538,X4539,X4540] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X4538),X4539)),X4540))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4538),X4540)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_734_dvd__mult__left])]) ).
fof(i_0_2034,plain,
! [X4529,X4530,X4531] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X4529),X4530)),X4531))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4530),X4531)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_731_dvd__mult__right])]) ).
fof(i_0_2035,plain,
! [X4377,X4378,X4379] :
( ~ hBOOL(hAPP_int_bool(zprime,X4379))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4379),hAPP_int_int(times_times_int(X4377),X4378)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4379),X4377))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4379),X4378)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_657_zprime__zdvd__zmult__better])]) ).
fof(i_0_2036,plain,
! [X5420,X5421] :
( ~ hBOOL(hAPP_int_bool(zprime,X5421))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5420))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5420),hAPP_int_int(minus_minus_int(X5421),one_one_int)))
| inv(X5421,X5420) != hAPP_int_int(minus_minus_int(X5421),one_one_int) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1078_inv__not__p__minus__1])]) ).
fof(i_0_2037,plain,
! [X4424,X4425] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4424),X4425))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(minus_minus_real(X4424),X4425)),zero_zero_real)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(minus_minus_real(X4424),X4425)),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4424),X4425)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_675_real__le__eq__diff])]) ).
fof(i_0_2038,plain,
! [X4297,X4298] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4297),X4298))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X4297),X4298)),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X4297),X4298)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4297),X4298)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_627_less__bin__lemma])]) ).
fof(i_0_2039,plain,
! [X3852] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X3852),X3852)),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3852),zero_zero_real)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3852),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X3852),X3852)),zero_zero_real)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_384_even__less__0__iff])]) ).
cnf(i_0_2040,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1423]) ).
cnf(i_0_2041,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1424]) ).
fof(i_0_2042,plain,
! [X3851] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X3851),X3851)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3851),zero_zero_int)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3851),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X3851),X3851)),zero_zero_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_383_even__less__0__iff])]) ).
cnf(i_0_2043,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1425]) ).
cnf(i_0_2044,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1426]) ).
cnf(i_0_2045,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1427]) ).
cnf(i_0_2046,plain,
hAPP_int_int(minus_minus_int(pls),bit1(X1)) = bit1(hAPP_int_int(minus_minus_int(min),X1)),
inference(split_conjunct,[status(thm)],[i_0_1428]) ).
fof(i_0_2047,plain,
! [X3457,X3458,X3459,X3460] :
( ( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3457),X3458)),hAPP_real_real(times_times_real(X3459),X3460)) != hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3457),X3460)),hAPP_real_real(times_times_real(X3459),X3458))
| X3457 = X3459
| X3458 = X3460 )
& ( X3457 != X3459
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3457),X3458)),hAPP_real_real(times_times_real(X3459),X3460)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3457),X3460)),hAPP_real_real(times_times_real(X3459),X3458)) )
& ( X3458 != X3460
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3457),X3458)),hAPP_real_real(times_times_real(X3459),X3460)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3457),X3460)),hAPP_real_real(times_times_real(X3459),X3458)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_172_crossproduct__eq])])]) ).
fof(i_0_2048,plain,
! [X3453,X3454,X3455,X3456] :
( ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3453),X3454)),hAPP_nat_nat(times_times_nat(X3455),X3456)) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3453),X3456)),hAPP_nat_nat(times_times_nat(X3455),X3454))
| X3453 = X3455
| X3454 = X3456 )
& ( X3453 != X3455
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3453),X3454)),hAPP_nat_nat(times_times_nat(X3455),X3456)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3453),X3456)),hAPP_nat_nat(times_times_nat(X3455),X3454)) )
& ( X3454 != X3456
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3453),X3454)),hAPP_nat_nat(times_times_nat(X3455),X3456)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3453),X3456)),hAPP_nat_nat(times_times_nat(X3455),X3454)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_171_crossproduct__eq])])]) ).
fof(i_0_2049,plain,
! [X3487,X3488,X3489,X3490] :
( ( X3489 = X3490
| X3487 = X3488
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3489),X3487)),hAPP_real_real(times_times_real(X3490),X3488)) != hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3489),X3488)),hAPP_real_real(times_times_real(X3490),X3487)) )
& ( X3489 != X3490
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3489),X3487)),hAPP_real_real(times_times_real(X3490),X3488)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3489),X3488)),hAPP_real_real(times_times_real(X3490),X3487)) )
& ( X3487 != X3488
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3489),X3487)),hAPP_real_real(times_times_real(X3490),X3488)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3489),X3488)),hAPP_real_real(times_times_real(X3490),X3487)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_181_crossproduct__noteq])])]) ).
fof(i_0_2050,plain,
! [X3483,X3484,X3485,X3486] :
( ( X3485 = X3486
| X3483 = X3484
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3485),X3483)),hAPP_nat_nat(times_times_nat(X3486),X3484)) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3485),X3484)),hAPP_nat_nat(times_times_nat(X3486),X3483)) )
& ( X3485 != X3486
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3485),X3483)),hAPP_nat_nat(times_times_nat(X3486),X3484)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3485),X3484)),hAPP_nat_nat(times_times_nat(X3486),X3483)) )
& ( X3483 != X3484
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3485),X3483)),hAPP_nat_nat(times_times_nat(X3486),X3484)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3485),X3484)),hAPP_nat_nat(times_times_nat(X3486),X3483)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_180_crossproduct__noteq])])]) ).
fof(i_0_2051,plain,
! [X3742,X3743,X3744] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X3743),X3744))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X3743),X3742)),hAPP_nat_real(power_power_real(X3744),X3742))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_329_dvd__power__same])]) ).
fof(i_0_2052,plain,
! [X3693,X3694,X3695] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3694),X3695))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X3693),X3694)),hAPP_nat_real(power_power_real(X3693),X3695))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_314_le__imp__power__dvd])]) ).
fof(i_0_2053,plain,
! [X4454,X4455,X4456] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4455),X4456))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X4454),X4455)),hAPP_real_real(plus_plus_real(X4454),X4456))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_691_real__add__left__mono])]) ).
fof(i_0_2054,plain,
! [X4622,X4623,X4624] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4623),X4624))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4623),X4622)),hAPP_nat_nat(times_times_nat(X4624),X4622))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_765_divides__mul__r])]) ).
fof(i_0_2055,plain,
! [X4619,X4620,X4621] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4620),X4621))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X4619),X4620)),hAPP_nat_nat(times_times_nat(X4619),X4621))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_764_divides__mul__l])]) ).
fof(i_0_2056,plain,
! [X4632,X4633,X4634] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4633),X4634))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X4633),X4632)),hAPP_nat_nat(power_power_nat(X4634),X4632))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_769_divides__exp])]) ).
fof(i_0_2057,plain,
! [X3748,X3749,X3750] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3749),X3750))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X3749),X3748)),hAPP_nat_nat(power_power_nat(X3750),X3748))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_331_dvd__power__same])]) ).
fof(i_0_2058,plain,
! [X3699,X3700,X3701] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3700),X3701))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X3699),X3700)),hAPP_nat_nat(power_power_nat(X3699),X3701))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_316_le__imp__power__dvd])]) ).
fof(i_0_2059,plain,
! [X5121,X5122,X5123] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5122),X5123))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5122),X5121)),hAPP_nat_nat(plus_plus_nat(X5123),X5121))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_979_add__less__mono1])]) ).
fof(i_0_2060,plain,
! [X5049,X5050,X5051] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5050),X5051))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X5050),X5049)),hAPP_nat_nat(minus_minus_nat(X5051),X5049))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_944_diff__le__mono])]) ).
fof(i_0_2061,plain,
! [X5046,X5047,X5048] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5047),X5048))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X5046),X5048)),hAPP_nat_nat(minus_minus_nat(X5046),X5047))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_943_diff__le__mono2])]) ).
fof(i_0_2062,plain,
! [X5244,X5245,X5246] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5245),X5246))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5245),X5244)),hAPP_nat_nat(times_times_nat(X5246),X5244))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1022_mult__le__mono1])]) ).
fof(i_0_2063,plain,
! [X5241,X5242,X5243] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5242),X5243))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X5241),X5242)),hAPP_nat_nat(times_times_nat(X5241),X5243))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1021_mult__le__mono2])]) ).
fof(i_0_2064,plain,
! [X5183,X5184,X5185] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5184),X5185))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X5184),X5183)),hAPP_nat_nat(plus_plus_nat(X5185),X5183))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1001_add__le__mono1])]) ).
fof(i_0_2065,plain,
! [X3745,X3746,X3747] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3746),X3747))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3746),X3745)),hAPP_nat_int(power_power_int(X3747),X3745))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_330_dvd__power__same])]) ).
fof(i_0_2066,plain,
! [X3696,X3697,X3698] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3697),X3698))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3696),X3697)),hAPP_nat_int(power_power_int(X3696),X3698))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_315_le__imp__power__dvd])]) ).
cnf(i_0_2067,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1411]) ).
cnf(i_0_2068,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1412]) ).
fof(i_0_2069,plain,
! [X3230,X3231,X3232] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3231),X3232))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X3231),X3230)),hAPP_int_int(plus_plus_int(X3232),X3230))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_75_zadd__strict__right__mono])]) ).
cnf(i_0_2070,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1413]) ).
cnf(i_0_2071,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),bit0(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1414]) ).
fof(i_0_2072,plain,
! [X3233,X3234,X3235] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3234),X3235))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X3233),X3234)),hAPP_int_int(plus_plus_int(X3233),X3235))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_76_zadd__left__mono])]) ).
fof(i_0_2073,plain,
! [X5681,X5682,X5683] : hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5681),X5682)),X5683)),X5682) = hAPP_nat_nat(div_mod_nat(X5683),X5682),
inference(variable_rename,[status(thm)],[fact_1182_mod__mult__self3]) ).
fof(i_0_2074,plain,
! [X3250,X3251] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X3250),one_one_int)),X3251))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3250),X3251)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3250),X3251))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X3250),one_one_int)),X3251)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_87_add1__zle__eq])]) ).
fof(i_0_2075,plain,
! [X3726,X3727,X3728] :
( ~ is_int(X3726)
| ~ is_int(X3728)
| hAPP_nat_int(power_power_int(X3726),X3727) != hAPP_nat_int(power_power_int(X3728),X3727)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3726))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3728))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3727))
| X3726 = X3728 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_323_power__eq__imp__eq__base])]) ).
fof(i_0_2076,plain,
! [X4801,X4802] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X4801),X4802)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4802))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4801)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_834_zero__less__mult__pos2])]) ).
fof(i_0_2077,plain,
! [X4807,X4808] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X4807),X4808)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4807))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4808)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_837_zero__less__mult__pos])]) ).
fof(i_0_2078,plain,
! [X4803,X4804] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X4803),X4804)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4804))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4803)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_835_zero__less__mult__pos2])]) ).
fof(i_0_2079,plain,
! [X4809,X4810] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X4809),X4810)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4809))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4810)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_838_zero__less__mult__pos])]) ).
fof(i_0_2080,plain,
! [X4805,X4806] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X4805),X4806)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4806))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4805)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_836_zero__less__mult__pos2])]) ).
fof(i_0_2081,plain,
! [X4811,X4812] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X4811),X4812)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4811))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4812)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_839_zero__less__mult__pos])]) ).
fof(i_0_2082,plain,
! [X3877,X3878] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3878))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X3878),X3877)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3877)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_403_pos__zmult__pos])]) ).
fof(i_0_2083,plain,
! [X4205,X4206,X4207,X4209,X4210] :
( ( is_int(esk10_3(X4205,X4206,X4207))
| ~ hBOOL(hAPP_int_bool(zcong(X4205,X4206),X4207))
| ~ is_int(X4206) )
& ( X4206 = hAPP_int_int(plus_plus_int(X4205),hAPP_int_int(times_times_int(X4207),esk10_3(X4205,X4206,X4207)))
| ~ hBOOL(hAPP_int_bool(zcong(X4205,X4206),X4207))
| ~ is_int(X4206) )
& ( ~ is_int(X4210)
| X4206 != hAPP_int_int(plus_plus_int(X4205),hAPP_int_int(times_times_int(X4209),X4210))
| hBOOL(hAPP_int_bool(zcong(X4205,X4206),X4209))
| ~ is_int(X4206) ) ),
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_590_zcong__iff__lin])])])])])]) ).
fof(i_0_2084,plain,
! [X3664,X3665] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3665))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(times_times_real(X3665),hAPP_nat_real(power_power_real(X3665),X3664)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_299_power__gt1__lemma])]) ).
fof(i_0_2085,plain,
! [X3662,X3663] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3663))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(times_times_nat(X3663),hAPP_nat_nat(power_power_nat(X3663),X3662)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_298_power__gt1__lemma])]) ).
fof(i_0_2086,plain,
! [X3660,X3661] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3661))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(times_times_int(X3661),hAPP_nat_int(power_power_int(X3661),X3660)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_power__gt1__lemma])]) ).
fof(i_0_2087,plain,
! [X5416,X5417] :
( ~ hBOOL(hAPP_int_bool(zprime,X5417))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5416))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5416),hAPP_int_int(minus_minus_int(X5417),one_one_int)))
| X5416 != inv(X5417,X5416) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1076_inv__distinct])]) ).
fof(i_0_2088,plain,
! [X5429,X5430] :
( ~ hBOOL(hAPP_int_bool(zprime,X5430))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5429))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5429),hAPP_int_int(minus_minus_int(X5430),one_one_int)))
| inv(X5430,X5429) != zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1082_inv__not__0])]) ).
fof(i_0_2089,plain,
! [X5418,X5419] :
( ~ hBOOL(hAPP_int_bool(zprime,X5419))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5418))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5418),hAPP_int_int(minus_minus_int(X5419),one_one_int)))
| inv(X5419,X5418) != one_one_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1077_inv__not__1])]) ).
fof(i_0_2090,plain,
! [X4315,X4316] :
( ~ is_int(X4316)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4316))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4316),X4315))
| X4316 = hAPP_int_int(minus_minus_int(X4315),one_one_int)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4316),hAPP_int_int(minus_minus_int(X4315),one_one_int))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_632_Euler_Oaux1])]) ).
fof(i_0_2091,plain,
! [X3732,X3733,X3734] :
( hAPP_nat_real(power_power_real(X3732),X3733) != hAPP_nat_real(power_power_real(X3734),X3733)
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3732))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3734))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3733))
| X3732 = X3734 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_325_power__eq__imp__eq__base])]) ).
fof(i_0_2092,plain,
! [X3729,X3730,X3731] :
( hAPP_nat_nat(power_power_nat(X3729),X3730) != hAPP_nat_nat(power_power_nat(X3731),X3730)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3729))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3731))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3730))
| X3729 = X3731 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_324_power__eq__imp__eq__base])]) ).
fof(i_0_2093,plain,
! [X5057,X5058,X5059] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5058),X5059))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5058),X5057))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X5059),X5058)),hAPP_nat_nat(minus_minus_nat(X5057),X5058)) = hAPP_nat_nat(minus_minus_nat(X5059),X5057) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_947_Nat_Odiff__diff__eq])]) ).
fof(i_0_2094,plain,
! [X4086,X4087,X4088] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4088))
| X4088 != hAPP_int_int(plus_plus_int(X4086),hAPP_int_int(times_times_int(X4088),X4087))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4086),X4088))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X4087)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_510_self__quotient__aux1])]) ).
fof(i_0_2095,plain,
! [X4160,X4161,X4162] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4161),X4162))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4160),X4162))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4161),X4160))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4160),X4161)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_572_Euler_Oaux2])]) ).
fof(i_0_2096,plain,
! [X4604,X4605,X4606] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4605),X4606))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4605),X4604))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4605),hAPP_real_real(minus_minus_real(X4606),X4604))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_759_dvd__diff])]) ).
fof(i_0_2097,plain,
! [X4592,X4593,X4594] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4593),X4594))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4593),X4592))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4593),hAPP_real_real(plus_plus_real(X4594),X4592))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_753_dvd__add])]) ).
fof(i_0_2098,plain,
! [X5004,X5005,X5006] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5005),X5006))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5005),X5004))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5005),hAPP_nat_nat(minus_minus_nat(X5006),X5004))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_926_dvd__diff__nat])]) ).
fof(i_0_2099,plain,
! [X4595,X4596,X4597] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4596),X4597))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4596),X4595))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4596),hAPP_nat_nat(plus_plus_nat(X4597),X4595))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_754_dvd__add])]) ).
fof(i_0_2100,plain,
! [X5591,X5592,X5593] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5592),X5593))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5592),X5591))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5592),hAPP_int_int(div_mod_int(X5593),X5591))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1147_zdvd__zmod])]) ).
fof(i_0_2101,plain,
! [X4607,X4608,X4609] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4608),X4609))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4608),X4607))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4608),hAPP_int_int(minus_minus_int(X4609),X4607))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_760_dvd__diff])]) ).
fof(i_0_2102,plain,
! [X4598,X4599,X4600] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4599),X4600))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4599),X4598))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4599),hAPP_int_int(plus_plus_int(X4600),X4598))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_755_dvd__add])]) ).
fof(i_0_2103,plain,
! [X4180,X4181,X4182] : hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4180),X4181),hAPP_int_int(times_times_int(X4182),X4181)),X4181)),
inference(variable_rename,[status(thm)],[fact_578_zcong__zmult__self]) ).
fof(i_0_2104,plain,
! [X4083,X4084,X4085] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4085))
| X4085 != hAPP_int_int(plus_plus_int(X4083),hAPP_int_int(times_times_int(X4085),X4084))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4083))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4084),one_one_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_509_self__quotient__aux2])]) ).
fof(i_0_2105,plain,
! [X5302,X5303,X5305] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk17_2(X5302,X5303)),X5302))
| ~ hBOOL(hAPP_nat_bool(X5303,X5302))
| hBOOL(hAPP_nat_bool(X5303,zero_zero_nat)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5305),esk17_2(X5302,X5303)))
| ~ hBOOL(hAPP_nat_bool(X5303,X5305))
| ~ hBOOL(hAPP_nat_bool(X5303,X5302))
| hBOOL(hAPP_nat_bool(X5303,zero_zero_nat)) )
& ( hBOOL(hAPP_nat_bool(X5303,hAPP_nat_nat(plus_plus_nat(esk17_2(X5302,X5303)),one_one_nat)))
| ~ hBOOL(hAPP_nat_bool(X5303,X5302))
| hBOOL(hAPP_nat_bool(X5303,zero_zero_nat)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1429])])])])]) ).
fof(i_0_2106,plain,
! [X4851,X4852,X4853] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4853))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4851),X4852))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4851),hAPP_nat_nat(plus_plus_nat(X4853),X4852))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_857_pos__add__strict])]) ).
fof(i_0_2107,plain,
! [X4382,X4383,X4384] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4384))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4382),X4383))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4382),hAPP_nat_int(power_power_int(X4383),X4384))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_659_zpower__zdvd__prop1])]) ).
fof(i_0_2108,plain,
! [X4854,X4855,X4856] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4856))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4854),X4855))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4854),hAPP_int_int(plus_plus_int(X4856),X4855))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_858_pos__add__strict])]) ).
fof(i_0_2109,plain,
! [X4894,X4895,X4897] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk13_2(X4894,X4895)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4894))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4895)) )
& ( hAPP_nat_real(power_power_real(esk13_2(X4894,X4895)),X4895) = X4894
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4894))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4895)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4897))
| hAPP_nat_real(power_power_real(X4897),X4895) != X4894
| X4897 = esk13_2(X4894,X4895)
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4894))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4895)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_873_realpow__pos__nth__unique])])])])]) ).
fof(i_0_2110,plain,
! [X4785,X4786] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4786),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4785),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X4786),X4785))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_827_mult__neg__neg])]) ).
fof(i_0_2111,plain,
! [X4740,X4741] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4740),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4740))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4740),X4741))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4741),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4740))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4740),X4741))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4740),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4741))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4740),X4741))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4741),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4741))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4740),X4741))) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4740))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4741))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4740),X4741))) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4740),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4741),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4740),X4741))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_810_zero__le__mult__iff])])]) ).
fof(i_0_2112,plain,
! [X4708,X4709] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4709),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4708),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4709),X4708))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_794_mult__nonpos__nonpos])]) ).
fof(i_0_2113,plain,
! [X4641,X4642] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4642))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4641))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4642),X4641))) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4642),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4641),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4642),X4641))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_773_split__mult__pos__le])])]) ).
fof(i_0_2114,plain,
! [X4787,X4788] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4788),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4787),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X4788),X4787))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_828_mult__neg__neg])]) ).
fof(i_0_2115,plain,
! [X4742,X4743] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4742),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4742))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4742),X4743))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4743),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4742))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4742),X4743))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4742),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4743))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4742),X4743))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4743),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4743))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4742),X4743))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4742))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4743))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4742),X4743))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4742),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4743),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4742),X4743))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_811_zero__le__mult__iff])])]) ).
fof(i_0_2116,plain,
! [X4710,X4711] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4711),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4710),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4711),X4710))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_795_mult__nonpos__nonpos])]) ).
fof(i_0_2117,plain,
! [X4643,X4644] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4644))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4643))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4644),X4643))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4644),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4643),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4644),X4643))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_774_split__mult__pos__le])])]) ).
cnf(i_0_2118,plain,
hAPP_real_real(plus_plus_real(number267125858f_real(X1)),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(X1),bit1(pls))),
inference(split_conjunct,[status(thm)],[i_0_1430]) ).
cnf(i_0_2119,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(X1)),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(X1),bit1(pls))),
inference(split_conjunct,[status(thm)],[i_0_1431]) ).
fof(i_0_2120,plain,
! [X5257,X5258] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X5257),X5258)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5257))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5258)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5257))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X5257),X5258))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5258))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X5257),X5258))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1030_add__gr__0])])]) ).
fof(i_0_2121,plain,
! [X3905,X3906] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3905),X3906))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3906))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X3905)),number_number_of_nat(X3906))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3905),X3906))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X3905)),number_number_of_nat(X3906))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3905),X3906))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3905),X3906))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X3905)),number_number_of_nat(X3906))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3906))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3905),X3906))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X3905)),number_number_of_nat(X3906))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_415_less__nat__number__of])])]) ).
fof(i_0_2122,plain,
! [X4459,X4460] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4460))
| hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X4459),hAPP_nat_nat(minus_minus_nat(X4460),one_one_nat))),X4459) = hAPP_nat_real(power_power_real(X4459),X4460) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_693_realpow__minus__mult])]) ).
fof(i_0_2123,plain,
! [X4457,X4458] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4458))
| hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X4457),hAPP_nat_nat(minus_minus_nat(X4458),one_one_nat))),X4457) = hAPP_nat_nat(power_power_nat(X4457),X4458) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_692_realpow__minus__mult])]) ).
fof(i_0_2124,plain,
! [X4461,X4462] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4462))
| hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X4461),hAPP_nat_nat(minus_minus_nat(X4462),one_one_nat))),X4461) = hAPP_nat_int(power_power_int(X4461),X4462) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_694_realpow__minus__mult])]) ).
fof(i_0_2125,plain,
! [X4871,X4872] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4872))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4871))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X4872),X4871))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_864_real__mult__order])]) ).
fof(i_0_2126,plain,
! [X4825,X4826] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4826))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4825))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X4826),X4825))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_846_mult__pos__pos])]) ).
fof(i_0_2127,plain,
! [X4125,X4126] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X4126))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4125))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(X4126),X4125))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_553_one__less__power])]) ).
fof(i_0_2128,plain,
! [X4730,X4731] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4731))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4730))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4731),X4730))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_805_mult__nonneg__nonneg])]) ).
fof(i_0_2129,plain,
! [X5287,X5288] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5287))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X5287),X5288))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5288))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X5287),X5288))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5287))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5288))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X5287),X5288))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1037_nat__0__less__mult__iff])])]) ).
fof(i_0_2130,plain,
! [X4827,X4828] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4828))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4827))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X4828),X4827))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_847_mult__pos__pos])]) ).
fof(i_0_2131,plain,
! [X4127,X4128] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4128))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4127))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X4128),X4127))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_554_one__less__power])]) ).
fof(i_0_2132,plain,
! [X4732,X4733] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4733))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4732))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X4733),X4732))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_806_mult__nonneg__nonneg])]) ).
fof(i_0_2133,plain,
! [X4829,X4830] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4830))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4829))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X4830),X4829))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_848_mult__pos__pos])]) ).
fof(i_0_2134,plain,
! [X4129,X4130] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4130))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4129))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(X4130),X4129))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_555_one__less__power])]) ).
fof(i_0_2135,plain,
! [X5568,X5569] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5569))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5568))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X5569),X5568))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1139_Divides_Otransfer__nat__int__function__closures_I2_J])]) ).
fof(i_0_2136,plain,
! [X4734,X4735] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4735))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4734))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4735),X4734))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_807_mult__nonneg__nonneg])]) ).
fof(i_0_2137,plain,
! [X4196,X4197] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4197))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4196))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4197),X4196))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_586_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J])]) ).
fof(i_0_2138,plain,
! [X4198,X4199] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4199))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4198))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(X4199),X4198))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_587_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J])]) ).
cnf(i_0_2139,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(X1))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1386]) ).
fof(i_0_2140,plain,
! [X5108,X5109] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5108),X5109)),X5108)),
inference(variable_rename,[status(thm)],[i_0_1432]) ).
fof(i_0_2141,plain,
! [X5110,X5111] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X5110),X5111)),X5111)),
inference(variable_rename,[status(thm)],[i_0_1433]) ).
fof(i_0_2142,plain,
! [X3872,X3873,X3874] :
( ~ hBOOL(hAPP_int_bool(zprime,X3874))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3874),hAPP_nat_int(power_power_int(X3872),X3873)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3874),X3872)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_390_zprime__zdvd__power])]) ).
fof(i_0_2143,plain,
! [X4380,X4381] :
( ~ is_int(X4381)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4381))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4381),X4380))
| ~ hBOOL(hAPP_int_bool(zcong(X4381,zero_zero_int),X4380))
| X4381 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_658_Int2_Ozcong__zero])]) ).
fof(i_0_2144,plain,
! [X4217,X4218] :
( ~ is_int(X4218)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4218))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4218),X4217))
| ~ hBOOL(hAPP_int_bool(zcong(X4218,zero_zero_int),X4217))
| X4218 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_595_zcong__zless__0])]) ).
fof(i_0_2145,plain,
! [X3182,X3183] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3182)),number267125858f_real(X3183)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3183)),number267125858f_real(X3182))) )
& ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3183)),number267125858f_real(X3182)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3182)),number267125858f_real(X3183))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1434])]) ).
fof(i_0_2146,plain,
! [X3180,X3181] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X3180)),number_number_of_nat(X3181)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X3181)),number_number_of_nat(X3180))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X3181)),number_number_of_nat(X3180)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X3180)),number_number_of_nat(X3181))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1435])]) ).
fof(i_0_2147,plain,
! [X3178,X3179] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3178)),number_number_of_int(X3179)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3179)),number_number_of_int(X3178))) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3179)),number_number_of_int(X3178)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3178)),number_number_of_int(X3179))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1436])]) ).
fof(i_0_2148,plain,
! [X4849] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X4849),X4849)),zero_zero_real)),
inference(variable_rename,[status(thm)],[i_0_1437]) ).
fof(i_0_2149,plain,
! [X4850] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X4850),X4850)),zero_zero_int)),
inference(variable_rename,[status(thm)],[i_0_1438]) ).
fof(i_0_2150,plain,
! [X4149,X4150,X4151] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4151),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X4151)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X4149)),X4150)) = zero_zero_nat )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4151),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X4151)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X4149)),X4150)) = hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(times_times_int(X4151),X4149))),X4150) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1439])]) ).
fof(i_0_2151,plain,
! [X5255,X5256] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5256))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5256),X5255))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5255),X5256)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1440])]) ).
fof(i_0_2152,plain,
! [X3735,X3736] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3736))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3736),X3735))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3735),X3736)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1441])]) ).
fof(i_0_2153,plain,
! [X4369,X4370] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4370))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4370),X4369))
| ~ hBOOL(hAPP_int_bool(zcong(X4370,zero_zero_int),X4369)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1442])]) ).
fof(i_0_2154,plain,
! [X4937,X4938,X4939] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4938),X4939))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X4938),X4937)),X4939)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_896_less__imp__diff__less])]) ).
fof(i_0_2155,plain,
! [X5612,X5613,X5614] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5614))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5614),X5613))
| hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X5612),X5613)),X5614) = hAPP_int_int(div_mod_int(X5612),X5614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1156_zmod__zdvd__zmod])]) ).
fof(i_0_2156,plain,
! [X3276,X3277,X3278,X3279] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3276),X3277)),hAPP_real_real(times_times_real(X3278),X3279)) = hAPP_real_real(times_times_real(X3278),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3276),X3277)),X3279)),
inference(variable_rename,[status(thm)],[fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J]) ).
fof(i_0_2157,plain,
! [X3272,X3273,X3274,X3275] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3272),X3273)),hAPP_nat_nat(times_times_nat(X3274),X3275)) = hAPP_nat_nat(times_times_nat(X3274),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3272),X3273)),X3275)),
inference(variable_rename,[status(thm)],[fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J]) ).
fof(i_0_2158,plain,
! [X3268,X3269,X3270,X3271] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3268),X3269)),hAPP_int_int(times_times_int(X3270),X3271)) = hAPP_int_int(times_times_int(X3270),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3268),X3269)),X3271)),
inference(variable_rename,[status(thm)],[fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J]) ).
fof(i_0_2159,plain,
! [X5605,X5606,X5607] : hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X5605),hAPP_int_int(div_mod_int(X5606),X5607))),X5607) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X5605),X5606)),X5607),
inference(variable_rename,[status(thm)],[fact_1153_zdiff__zmod__right]) ).
fof(i_0_2160,plain,
! [X5600,X5601,X5602] : hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5600),hAPP_int_int(div_mod_int(X5601),X5602))),X5602) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5600),X5601)),X5602),
inference(variable_rename,[status(thm)],[fact_1150_zmod__simps_I3_J]) ).
fof(i_0_2161,plain,
! [X5597,X5598,X5599] : hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5597),X5598)),X5599) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X5597),hAPP_int_int(div_mod_int(X5598),X5599))),X5599),
inference(variable_rename,[status(thm)],[fact_1149_zmod__zmult1__eq]) ).
fof(i_0_2162,plain,
! [X4324,X4325,X4326,X4327,X4328] :
( ~ hBOOL(hAPP_int_bool(zcong(X4326,X4327),X4328))
| X4327 != X4325
| ~ hBOOL(hAPP_int_bool(zcong(X4325,X4324),X4328))
| hBOOL(hAPP_int_bool(zcong(X4326,X4324),X4328)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_638_zcong__eq__trans])]) ).
fof(i_0_2163,plain,
! [X4094,X4095] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4094),number_number_of_nat(X4095))))
| number_number_of_nat(X4095) = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4094)) )
& ( number_number_of_nat(X4095) != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4094),number_number_of_nat(X4095)))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4094))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4094),number_number_of_nat(X4095)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_516_zero__less__power__nat__eq__number__of])])]) ).
fof(i_0_2164,plain,
! [X4891,X4892] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk12_2(X4891,X4892)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4891))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4892)) )
& ( hAPP_nat_real(power_power_real(esk12_2(X4891,X4892)),X4892) = X4891
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X4891))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4892)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_872_realpow__pos__nth])])])]) ).
fof(i_0_2165,plain,
! [X4145,X4146,X4147,X4148] :
( ~ hBOOL(hAPP_int_bool(zcong(X4146,X4147),X4148))
| ~ hBOOL(hAPP_int_bool(zcong(X4147,X4145),X4148))
| hBOOL(hAPP_int_bool(zcong(X4146,X4145),X4148)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_564_zcong__trans])]) ).
cnf(i_0_2166,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1423]) ).
cnf(i_0_2167,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1426]) ).
cnf(i_0_2168,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1424]) ).
fof(i_0_2169,plain,
! [X5626,X5627] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X5626),X5627)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5627),zero_zero_int)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5627),hAPP_int_int(div_mod_int(X5626),X5627)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5627),zero_zero_int)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1162_neg__mod__conj])])]) ).
fof(i_0_2170,plain,
! [X5624,X5625] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5625),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X5624),X5625)),zero_zero_int)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1161_neg__mod__sign])]) ).
cnf(i_0_2171,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_1425]) ).
cnf(i_0_2172,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min)) ),
inference(split_conjunct,[status(thm)],[i_0_1427]) ).
fof(i_0_2173,plain,
! [X5669,X5670] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5670))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X5669),X5670)),X5670)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1178_mod__less__divisor])]) ).
fof(i_0_2174,plain,
! [X5667,X5668] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5668))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X5667),X5668)),X5668)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1177_mod__le__divisor])]) ).
fof(i_0_2175,plain,
! [X5620,X5621] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X5620),X5621)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5621)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(X5620),X5621)),X5621))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5621)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1159_pos__mod__conj])])]) ).
cnf(i_0_2176,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,standardRes(X1,X2)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1443]) ).
fof(i_0_2177,plain,
! [X5566,X5567] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5567))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(X5566),X5567)),X5567)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1138_pos__mod__bound])]) ).
fof(i_0_2178,plain,
! [X5570,X5571] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5571))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X5571),X5570)),X5571)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1140_zmod__le__nonneg__dividend])]) ).
cnf(i_0_2179,plain,
( hAPP_int_int(times_times_int(X1),number_number_of_int(bit1(pls))) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1444]) ).
fof(i_0_2180,plain,
! [X3248,X3249] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3248),X3249))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X3248),one_one_int)),X3249)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_86_zless__imp__add1__zle])]) ).
cnf(i_0_2181,plain,
hAPP_real_real(times_times_real(X1),number267125858f_real(bit1(pls))) = X1,
inference(split_conjunct,[status(thm)],[i_0_1445]) ).
fof(i_0_2182,plain,
! [X3915,X3916] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X3915)),number_number_of_nat(X3916)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3915),X3916))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3915),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3915),X3916))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X3915)),number_number_of_nat(X3916))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3915),pls))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X3915)),number_number_of_nat(X3916))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1446])])]) ).
fof(i_0_2183,plain,
! [X5516,X5517,X5519] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk31_2(X5516,X5517)),X5516))
| ~ hBOOL(hAPP_nat_bool(X5517,X5516))
| hBOOL(hAPP_nat_bool(X5517,zero_zero_nat)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5519),esk31_2(X5516,X5517)))
| ~ hBOOL(hAPP_nat_bool(X5517,X5519))
| ~ hBOOL(hAPP_nat_bool(X5517,X5516))
| hBOOL(hAPP_nat_bool(X5517,zero_zero_nat)) )
& ( hBOOL(hAPP_nat_bool(X5517,esk31_2(X5516,X5517)))
| ~ hBOOL(hAPP_nat_bool(X5517,X5516))
| hBOOL(hAPP_nat_bool(X5517,zero_zero_nat)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1447])])])])]) ).
fof(i_0_2184,plain,
! [X3433,X3434] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3433),hAPP_int_int(plus_plus_int(X3434),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3433),X3434))
| X3433 = X3434
| ~ is_int(X3433)
| ~ is_int(X3434) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3433),X3434))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3433),hAPP_int_int(plus_plus_int(X3434),one_one_int)))
| ~ is_int(X3433)
| ~ is_int(X3434) )
& ( X3433 != X3434
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3433),hAPP_int_int(plus_plus_int(X3434),one_one_int)))
| ~ is_int(X3433)
| ~ is_int(X3434) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_158_zless__add1__eq])])]) ).
fof(i_0_2185,plain,
! [X4306,X4307,X4308] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4306,X4307),X4308))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4308),hAPP_int_int(minus_minus_int(X4306),X4307))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4308),hAPP_int_int(minus_minus_int(X4306),X4307)))
| hBOOL(hAPP_int_bool(zcong(X4306,X4307),X4308)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_629_zcong__def])]) ).
fof(i_0_2186,plain,
! [X4433,X4434,X4435] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4434),X4435))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4435),X4433))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4434),X4433)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_681_dvd__trans])]) ).
fof(i_0_2187,plain,
! [X4911,X4912,X4913] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4912),X4913))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4913),X4911))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4912),X4911)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_882_real__le__trans])]) ).
fof(i_0_2188,plain,
! [X4974,X4975,X4976] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4975),X4976))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4976),X4974))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4975),X4974)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_911_dvd_Oorder__trans])]) ).
fof(i_0_2189,plain,
! [X4436,X4437,X4438] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4437),X4438))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4438),X4436))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4437),X4436)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_682_dvd__trans])]) ).
fof(i_0_2190,plain,
! [X5039,X5040,X5041] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5040),X5041))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5041),X5039))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5040),X5039)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_940_le__trans])]) ).
fof(i_0_2191,plain,
! [X4439,X4440,X4441] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4440),X4441))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4441),X4439))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4440),X4439)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_683_dvd__trans])]) ).
fof(i_0_2192,plain,
! [X3158,X3159,X3160] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3159),X3160))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3160),X3158))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3159),X3158)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_39_zle__trans])]) ).
fof(i_0_2193,plain,
! [X5156,X5157] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5156),hAPP_nat_nat(plus_plus_nat(X5157),X5156)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5156),X5157)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5156),X5157))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5156),hAPP_nat_nat(plus_plus_nat(X5157),X5156))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_992_dvd__reduce])]) ).
fof(i_0_2194,plain,
! [X5227,X5228,X5229] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5228),X5229))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5229),X5227)),X5228) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X5229),X5228)),X5227) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1016_diff__add__assoc2])]) ).
fof(i_0_2195,plain,
! [X5224,X5225,X5226] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5225),X5226))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X5226),X5225)),X5224) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5226),X5224)),X5225) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1015_add__diff__assoc2])]) ).
fof(i_0_2196,plain,
! [X5291,X5292] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5291),X5292))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5292))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5291),X5292)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1039_dvd__imp__le])]) ).
fof(i_0_2197,plain,
! [X3758,X3759] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3758),X3759))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3759))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3758),X3759)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_337_zdvd__imp__le])]) ).
fof(i_0_2198,plain,
! [X5082,X5083] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X5082),X5083)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5083),X5082)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5083),X5082))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X5082),X5083))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_959_zero__less__diff])]) ).
fof(i_0_2199,plain,
! [X5399,X5400] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5399),hAPP_int_int(minus_minus_int(X5400),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5399),X5400)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1069_norR__mem__unique__aux])]) ).
fof(i_0_2200,plain,
! [X4317,X4318] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4317),hAPP_int_int(minus_minus_int(X4318),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4317),X4318)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4317),X4318))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4317),hAPP_int_int(minus_minus_int(X4318),one_one_int))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_633_zle__diff1__eq])]) ).
fof(i_0_2201,plain,
! [X3252,X3253] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3252),hAPP_int_int(plus_plus_int(X3253),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3252),X3253)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3252),X3253))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3252),hAPP_int_int(plus_plus_int(X3253),one_one_int))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_88_zle__add1__eq__le])]) ).
fof(i_0_2202,plain,
! [X5054,X5055,X5056] :
( ( hAPP_nat_nat(minus_minus_nat(X5056),X5055) != hAPP_nat_nat(minus_minus_nat(X5054),X5055)
| X5056 = X5054
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5055),X5054))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5055),X5056)) )
& ( X5056 != X5054
| hAPP_nat_nat(minus_minus_nat(X5056),X5055) = hAPP_nat_nat(minus_minus_nat(X5054),X5055)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5055),X5054))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5055),X5056)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_946_eq__diff__iff])])]) ).
fof(i_0_2203,plain,
! [X5247] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5247),hAPP_nat_nat(times_times_nat(X5247),hAPP_nat_nat(times_times_nat(X5247),X5247)))),
inference(variable_rename,[status(thm)],[fact_1023_le__cube]) ).
fof(i_0_2204,plain,
! [X4092,X4093] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4092),X4093)))
| X4093 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4092)) )
& ( X4093 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4092),X4093))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4092))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4092),X4093))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_515_zero__less__power__nat__eq])])]) ).
fof(i_0_2205,plain,
! [X4090,X4091] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4090),X4091)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4090))
| X4091 = zero_zero_nat )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4090))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4090),X4091))) )
& ( X4091 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X4090),X4091))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_514_nat__zero__less__power__iff])])]) ).
fof(i_0_2206,plain,
! [X3547,X3548] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3548))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3547))
| hAPP_real_real(times_times_real(number267125858f_real(X3548)),number267125858f_real(X3547)) = number267125858f_real(hAPP_int_int(times_times_int(X3548),X3547)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_semiring__mult__number__of])]) ).
fof(i_0_2207,plain,
! [X3553,X3554] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3554))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3553))
| hAPP_real_real(plus_plus_real(number267125858f_real(X3554)),number267125858f_real(X3553)) = number267125858f_real(hAPP_int_int(plus_plus_int(X3554),X3553)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_218_semiring__add__number__of])]) ).
fof(i_0_2208,plain,
! [X3545,X3546] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3546))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3545))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X3546)),number_number_of_nat(X3545)) = number_number_of_nat(hAPP_int_int(times_times_int(X3546),X3545)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_214_semiring__mult__number__of])]) ).
fof(i_0_2209,plain,
! [X3551,X3552] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3552))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3551))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X3552)),number_number_of_nat(X3551)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X3552),X3551)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_217_semiring__add__number__of])]) ).
fof(i_0_2210,plain,
! [X3543,X3544] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3544))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3543))
| hAPP_int_int(times_times_int(number_number_of_int(X3544)),number_number_of_int(X3543)) = number_number_of_int(hAPP_int_int(times_times_int(X3544),X3543)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_213_semiring__mult__number__of])]) ).
fof(i_0_2211,plain,
! [X3549,X3550] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3550))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3549))
| hAPP_int_int(plus_plus_int(number_number_of_int(X3550)),number_number_of_int(X3549)) = number_number_of_int(hAPP_int_int(plus_plus_int(X3550),X3549)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_216_semiring__add__number__of])]) ).
fof(i_0_2212,plain,
! [X5544,X5545] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5545))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5544),X5545))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5544)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1128_dvd__pos__nat])]) ).
cnf(i_0_2213,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1448]) ).
cnf(i_0_2214,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1449]) ).
cnf(i_0_2215,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit0(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1450]) ).
cnf(i_0_2216,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1451]) ).
cnf(i_0_2217,plain,
hAPP_int_int(minus_minus_int(min),bit1(X1)) = bit0(hAPP_int_int(minus_minus_int(min),X1)),
inference(split_conjunct,[status(thm)],[i_0_1452]) ).
cnf(i_0_2218,plain,
hAPP_int_int(minus_minus_int(min),bit0(X1)) = bit1(hAPP_int_int(minus_minus_int(min),X1)),
inference(split_conjunct,[status(thm)],[i_0_1453]) ).
fof(i_0_2219,plain,
! [X4080,X4081] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4080))
| ~ hBOOL(hAPP_int_bool(zprime,X4080))
| ~ is_int(X4080) )
& ( ~ is_int(X4081)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4081))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4081),X4080))
| X4081 = one_one_int
| X4081 = X4080
| ~ hBOOL(hAPP_int_bool(zprime,X4080))
| ~ is_int(X4080) )
& ( is_int(esk8_1(X4080))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4080))
| hBOOL(hAPP_int_bool(zprime,X4080))
| ~ is_int(X4080) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk8_1(X4080)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4080))
| hBOOL(hAPP_int_bool(zprime,X4080))
| ~ is_int(X4080) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,esk8_1(X4080)),X4080))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4080))
| hBOOL(hAPP_int_bool(zprime,X4080))
| ~ is_int(X4080) )
& ( esk8_1(X4080) != one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4080))
| hBOOL(hAPP_int_bool(zprime,X4080))
| ~ is_int(X4080) )
& ( esk8_1(X4080) != X4080
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4080))
| hBOOL(hAPP_int_bool(zprime,X4080))
| ~ is_int(X4080) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_508_zprime__def])])])])]) ).
cnf(i_0_2220,plain,
number267125858f_real(bit1(X1)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X1))),number267125858f_real(X1)),
inference(split_conjunct,[status(thm)],[i_0_1454]) ).
cnf(i_0_2221,plain,
number_number_of_int(bit1(X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X1))),number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[i_0_1455]) ).
cnf(i_0_2222,plain,
( X1 = X2
| bit1(X1) != bit1(X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1456]) ).
cnf(i_0_2223,plain,
( standardRes(X3,X1) = standardRes(X3,X2)
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1457]) ).
fof(i_0_2224,plain,
! [X5615,X5616,X5617] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X5615,X5616),X5617))
| hAPP_int_int(div_mod_int(X5615),X5617) = hAPP_int_int(div_mod_int(X5616),X5617)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5617)) )
& ( hAPP_int_int(div_mod_int(X5615),X5617) != hAPP_int_int(div_mod_int(X5616),X5617)
| hBOOL(hAPP_int_bool(zcong(X5615,X5616),X5617))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5617)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1157_zcong__zmod__eq])])]) ).
fof(i_0_2225,plain,
! [X5577,X5578,X5579] :
( ( hAPP_int_int(div_mod_int(X5577),X5578) != hAPP_int_int(div_mod_int(X5579),X5578)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5578),hAPP_int_int(minus_minus_int(X5577),X5579))) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X5578),hAPP_int_int(minus_minus_int(X5577),X5579)))
| hAPP_int_int(div_mod_int(X5577),X5578) = hAPP_int_int(div_mod_int(X5579),X5578) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1142_zmod__eq__dvd__iff])]) ).
fof(i_0_2226,plain,
! [X3596,X3597,X3598] : hAPP_real_real(times_times_real(number267125858f_real(X3596)),hAPP_real_real(times_times_real(number267125858f_real(X3597)),X3598)) = hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(times_times_int(X3596),X3597))),X3598),
inference(variable_rename,[status(thm)],[fact_240_mult__number__of__left]) ).
fof(i_0_2227,plain,
! [X4309,X4310,X4311] : hAPP_real_real(plus_plus_real(number267125858f_real(X4309)),hAPP_real_real(minus_minus_real(number267125858f_real(X4310)),X4311)) = hAPP_real_real(minus_minus_real(number267125858f_real(hAPP_int_int(plus_plus_int(X4309),X4310))),X4311),
inference(variable_rename,[status(thm)],[fact_630_add__number__of__diff1]) ).
fof(i_0_2228,plain,
! [X3610,X3611,X3612] : hAPP_real_real(plus_plus_real(number267125858f_real(X3610)),hAPP_real_real(plus_plus_real(number267125858f_real(X3611)),X3612)) = hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(X3610),X3611))),X3612),
inference(variable_rename,[status(thm)],[fact_246_add__number__of__left]) ).
fof(i_0_2229,plain,
! [X3593,X3594,X3595] : hAPP_int_int(times_times_int(number_number_of_int(X3593)),hAPP_int_int(times_times_int(number_number_of_int(X3594)),X3595)) = hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(X3593),X3594))),X3595),
inference(variable_rename,[status(thm)],[fact_239_mult__number__of__left]) ).
fof(i_0_2230,plain,
! [X4312,X4313,X4314] : hAPP_int_int(plus_plus_int(number_number_of_int(X4312)),hAPP_int_int(minus_minus_int(number_number_of_int(X4313)),X4314)) = hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(X4312),X4313))),X4314),
inference(variable_rename,[status(thm)],[fact_631_add__number__of__diff1]) ).
fof(i_0_2231,plain,
! [X3607,X3608,X3609] : hAPP_int_int(plus_plus_int(number_number_of_int(X3607)),hAPP_int_int(plus_plus_int(number_number_of_int(X3608)),X3609)) = hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(X3607),X3608))),X3609),
inference(variable_rename,[status(thm)],[fact_245_add__number__of__left]) ).
fof(i_0_2232,plain,
! [X4280,X4281,X4282] : hAPP_real_real(times_times_real(number267125858f_real(X4280)),hAPP_real_real(minus_minus_real(X4281),X4282)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(number267125858f_real(X4280)),X4281)),hAPP_real_real(times_times_real(number267125858f_real(X4280)),X4282)),
inference(variable_rename,[status(thm)],[fact_620_right__diff__distrib__number__of]) ).
fof(i_0_2233,plain,
! [X3571,X3572,X3573] : hAPP_real_real(times_times_real(number267125858f_real(X3571)),hAPP_real_real(plus_plus_real(X3572),X3573)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(number267125858f_real(X3571)),X3572)),hAPP_real_real(times_times_real(number267125858f_real(X3571)),X3573)),
inference(variable_rename,[status(thm)],[fact_225_right__distrib__number__of]) ).
fof(i_0_2234,plain,
! [X3568,X3569,X3570] : hAPP_nat_nat(times_times_nat(number_number_of_nat(X3568)),hAPP_nat_nat(plus_plus_nat(X3569),X3570)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(X3568)),X3569)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X3568)),X3570)),
inference(variable_rename,[status(thm)],[fact_224_right__distrib__number__of]) ).
fof(i_0_2235,plain,
! [X4283,X4284,X4285] : hAPP_int_int(times_times_int(number_number_of_int(X4283)),hAPP_int_int(minus_minus_int(X4284),X4285)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(X4283)),X4284)),hAPP_int_int(times_times_int(number_number_of_int(X4283)),X4285)),
inference(variable_rename,[status(thm)],[fact_621_right__diff__distrib__number__of]) ).
fof(i_0_2236,plain,
! [X3565,X3566,X3567] : hAPP_int_int(times_times_int(number_number_of_int(X3565)),hAPP_int_int(plus_plus_int(X3566),X3567)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(X3565)),X3566)),hAPP_int_int(times_times_int(number_number_of_int(X3565)),X3567)),
inference(variable_rename,[status(thm)],[fact_223_right__distrib__number__of]) ).
fof(i_0_2237,plain,
! [X5221,X5222,X5223] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5222),X5223))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5221),X5223)),X5222) = hAPP_nat_nat(plus_plus_nat(X5221),hAPP_nat_nat(minus_minus_nat(X5223),X5222)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1014_diff__add__assoc])]) ).
fof(i_0_2238,plain,
! [X5199,X5200,X5201] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5200),X5201))
| hAPP_nat_nat(minus_minus_nat(X5199),hAPP_nat_nat(minus_minus_nat(X5201),X5200)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5199),X5200)),X5201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1006_diff__diff__right])]) ).
fof(i_0_2239,plain,
! [X5210,X5211,X5212] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5211),X5212))
| hAPP_nat_nat(plus_plus_nat(X5210),hAPP_nat_nat(minus_minus_nat(X5212),X5211)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5210),X5212)),X5211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1010_add__diff__assoc])]) ).
fof(i_0_2240,plain,
! [X4286,X4287,X4288] : hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X4286),X4287)),number267125858f_real(X4288)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X4286),number267125858f_real(X4288))),hAPP_real_real(times_times_real(X4287),number267125858f_real(X4288))),
inference(variable_rename,[status(thm)],[fact_622_left__diff__distrib__number__of]) ).
fof(i_0_2241,plain,
! [X3562,X3563,X3564] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X3562),X3563)),number267125858f_real(X3564)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3562),number267125858f_real(X3564))),hAPP_real_real(times_times_real(X3563),number267125858f_real(X3564))),
inference(variable_rename,[status(thm)],[fact_222_left__distrib__number__of]) ).
fof(i_0_2242,plain,
! [X3559,X3560,X3561] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X3559),X3560)),number_number_of_nat(X3561)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3559),number_number_of_nat(X3561))),hAPP_nat_nat(times_times_nat(X3560),number_number_of_nat(X3561))),
inference(variable_rename,[status(thm)],[fact_221_left__distrib__number__of]) ).
fof(i_0_2243,plain,
! [X4289,X4290,X4291] : hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X4289),X4290)),number_number_of_int(X4291)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X4289),number_number_of_int(X4291))),hAPP_int_int(times_times_int(X4290),number_number_of_int(X4291))),
inference(variable_rename,[status(thm)],[fact_623_left__diff__distrib__number__of]) ).
fof(i_0_2244,plain,
! [X3556,X3557,X3558] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X3556),X3557)),number_number_of_int(X3558)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3556),number_number_of_int(X3558))),hAPP_int_int(times_times_int(X3557),number_number_of_int(X3558))),
inference(variable_rename,[status(thm)],[fact_220_left__distrib__number__of]) ).
fof(i_0_2245,plain,
! [X5526,X5527] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5527))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5527),X5526))
| hBOOL(member_int(X5527,d22set(X5526))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1115_d22set__mem])]) ).
fof(i_0_2246,plain,
! [X4571,X4572,X4573] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4572),X4573))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4572),hAPP_real_real(times_times_real(X4573),X4571))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_744_dvd__mult2])]) ).
fof(i_0_2247,plain,
! [X4562,X4563,X4564] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4563),X4564))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4563),hAPP_real_real(times_times_real(X4562),X4564))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_741_dvd__mult])]) ).
fof(i_0_2248,plain,
! [X4574,X4575,X4576] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4575),X4576))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4575),hAPP_nat_nat(times_times_nat(X4576),X4574))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_745_dvd__mult2])]) ).
fof(i_0_2249,plain,
! [X4565,X4566,X4567] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4566),X4567))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4566),hAPP_nat_nat(times_times_nat(X4565),X4567))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_742_dvd__mult])]) ).
fof(i_0_2250,plain,
! [X5115,X5116,X5117] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5116),X5117))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5116),hAPP_nat_nat(plus_plus_nat(X5117),X5115))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_977_trans__less__add1])]) ).
fof(i_0_2251,plain,
! [X5118,X5119,X5120] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5119),X5120))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5119),hAPP_nat_nat(plus_plus_nat(X5118),X5120))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_978_trans__less__add2])]) ).
fof(i_0_2252,plain,
! [X5177,X5178,X5179] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5178),X5179))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5178),hAPP_nat_nat(plus_plus_nat(X5179),X5177))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_999_trans__le__add1])]) ).
fof(i_0_2253,plain,
! [X5180,X5181,X5182] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5181),X5182))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5181),hAPP_nat_nat(plus_plus_nat(X5180),X5182))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1000_trans__le__add2])]) ).
fof(i_0_2254,plain,
! [X4577,X4578,X4579] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4578),X4579))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4578),hAPP_int_int(times_times_int(X4579),X4577))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_746_dvd__mult2])]) ).
fof(i_0_2255,plain,
! [X4568,X4569,X4570] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4569),X4570))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4569),hAPP_int_int(times_times_int(X4568),X4570))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_743_dvd__mult])]) ).
fof(i_0_2256,plain,
! [X4371,X4372] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4371),X4372))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4372),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4371),X4372)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_654_zdvd__bounds])]) ).
fof(i_0_2257,plain,
! [X4515,X4516,X4517,X4518] : hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(X4515),X4516)),hAPP_real_real(plus_plus_real(X4517),X4518)) = hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(X4515),X4517)),hAPP_real_real(minus_minus_real(X4516),X4518)),
inference(variable_rename,[status(thm)],[fact_727_add__diff__add]) ).
fof(i_0_2258,plain,
! [X3264,X3265,X3266,X3267] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3264),X3265)),hAPP_real_real(times_times_real(X3266),X3267)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3264),X3266)),hAPP_real_real(times_times_real(X3265),X3267)),
inference(variable_rename,[status(thm)],[fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J]) ).
fof(i_0_2259,plain,
! [X3342,X3343,X3344,X3345] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X3342),X3343)),hAPP_real_real(plus_plus_real(X3344),X3345)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X3342),X3344)),hAPP_real_real(plus_plus_real(X3343),X3345)),
inference(variable_rename,[status(thm)],[fact_117_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J]) ).
fof(i_0_2260,plain,
! [X3260,X3261,X3262,X3263] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3260),X3261)),hAPP_nat_nat(times_times_nat(X3262),X3263)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3260),X3262)),hAPP_nat_nat(times_times_nat(X3261),X3263)),
inference(variable_rename,[status(thm)],[fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J]) ).
fof(i_0_2261,plain,
! [X3338,X3339,X3340,X3341] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X3338),X3339)),hAPP_nat_nat(plus_plus_nat(X3340),X3341)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X3338),X3340)),hAPP_nat_nat(plus_plus_nat(X3339),X3341)),
inference(variable_rename,[status(thm)],[fact_116_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J]) ).
cnf(i_0_2262,plain,
hAPP_int_int(minus_minus_int(bit0(X1)),bit0(X2)) = bit0(hAPP_int_int(minus_minus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1458]) ).
fof(i_0_2263,plain,
! [X4519,X4520,X4521,X4522] : hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X4519),X4520)),hAPP_int_int(plus_plus_int(X4521),X4522)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X4519),X4521)),hAPP_int_int(minus_minus_int(X4520),X4522)),
inference(variable_rename,[status(thm)],[fact_728_add__diff__add]) ).
fof(i_0_2264,plain,
! [X3256,X3257,X3258,X3259] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3256),X3257)),hAPP_int_int(times_times_int(X3258),X3259)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3256),X3258)),hAPP_int_int(times_times_int(X3257),X3259)),
inference(variable_rename,[status(thm)],[fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J]) ).
cnf(i_0_2265,plain,
hAPP_int_int(plus_plus_int(bit0(X1)),bit0(X2)) = bit0(hAPP_int_int(plus_plus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1459]) ).
fof(i_0_2266,plain,
! [X3334,X3335,X3336,X3337] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3334),X3335)),hAPP_int_int(plus_plus_int(X3336),X3337)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3334),X3336)),hAPP_int_int(plus_plus_int(X3335),X3337)),
inference(variable_rename,[status(thm)],[fact_115_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J]) ).
fof(i_0_2267,plain,
! [X3288,X3289,X3290,X3291] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3288),X3289)),hAPP_real_real(times_times_real(X3290),X3291)) = hAPP_real_real(times_times_real(X3288),hAPP_real_real(times_times_real(X3289),hAPP_real_real(times_times_real(X3290),X3291))),
inference(variable_rename,[status(thm)],[fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J]) ).
fof(i_0_2268,plain,
! [X3284,X3285,X3286,X3287] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3284),X3285)),hAPP_nat_nat(times_times_nat(X3286),X3287)) = hAPP_nat_nat(times_times_nat(X3284),hAPP_nat_nat(times_times_nat(X3285),hAPP_nat_nat(times_times_nat(X3286),X3287))),
inference(variable_rename,[status(thm)],[fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J]) ).
fof(i_0_2269,plain,
! [X3280,X3281,X3282,X3283] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3280),X3281)),hAPP_int_int(times_times_int(X3282),X3283)) = hAPP_int_int(times_times_int(X3280),hAPP_int_int(times_times_int(X3281),hAPP_int_int(times_times_int(X3282),X3283))),
inference(variable_rename,[status(thm)],[fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J]) ).
fof(i_0_2270,plain,
! [X5564,X5565] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5565),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5565),hAPP_int_int(div_mod_int(X5564),X5565))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1137_neg__mod__bound])]) ).
fof(i_0_2271,plain,
! [X5628,X5629] :
( ~ is_int(X5629)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5629),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5628),X5629))
| hAPP_int_int(div_mod_int(X5629),X5628) = X5629 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1163_mod__neg__neg__trivial])]) ).
fof(i_0_2272,plain,
! [X4131,X4132] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4132))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4131),hAPP_nat_real(power_power_real(X4131),X4132))) )
& ( X4131 != one_one_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4131),hAPP_nat_real(power_power_real(X4131),X4132))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_556_dvd__power])])]) ).
fof(i_0_2273,plain,
! [X4133,X4134] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4134))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4133),hAPP_nat_nat(power_power_nat(X4133),X4134))) )
& ( X4133 != one_one_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4133),hAPP_nat_nat(power_power_nat(X4133),X4134))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_557_dvd__power])])]) ).
fof(i_0_2274,plain,
! [X4135,X4136] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4136))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4135),hAPP_nat_int(power_power_int(X4135),X4136))) )
& ( X4135 != one_one_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4135),hAPP_nat_int(power_power_int(X4135),X4136))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_558_dvd__power])])]) ).
fof(i_0_2275,plain,
! [X5128,X5129,X5130,X5131] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5130),X5131))
| hAPP_nat_nat(plus_plus_nat(X5128),X5131) != hAPP_nat_nat(plus_plus_nat(X5130),X5129)
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5128),X5129)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_981_less__add__eq__less])]) ).
fof(i_0_2276,plain,
! [X5622,X5623] :
( ~ is_int(X5623)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5623))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5623),X5622))
| hAPP_int_int(div_mod_int(X5623),X5622) = X5623 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1160_mod__pos__pos__trivial])]) ).
fof(i_0_2277,plain,
! [X3810,X3811] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3811))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X3811),X3810))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_370_zero__less__power])]) ).
fof(i_0_2278,plain,
! [X3795,X3796] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3796))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X3796),X3795))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_364_zero__le__power])]) ).
fof(i_0_2279,plain,
! [X4021,X4022] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X4022))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(X4022),X4021))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_485_one__le__power])]) ).
fof(i_0_2280,plain,
! [X3808,X3809] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3809))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X3809),X3808))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_369_zero__less__power])]) ).
fof(i_0_2281,plain,
! [X3793,X3794] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3794))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X3794),X3793))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_363_zero__le__power])]) ).
fof(i_0_2282,plain,
! [X4023,X4024] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X4024))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X4024),X4023))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_486_one__le__power])]) ).
cnf(i_0_2283,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1448]) ).
cnf(i_0_2284,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1449]) ).
fof(i_0_2285,plain,
! [X3806,X3807] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3807))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X3807),X3806))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_368_zero__less__power])]) ).
cnf(i_0_2286,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1451]) ).
cnf(i_0_2287,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit0(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1450]) ).
fof(i_0_2288,plain,
! [X4203,X4204] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4204))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X4204),X4203))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_589_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J])]) ).
fof(i_0_2289,plain,
! [X3791,X3792] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3792))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X3792),X3791))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_362_zero__le__power])]) ).
cnf(i_0_2290,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),standardRes(X1,X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1460]) ).
fof(i_0_2291,plain,
! [X5618,X5619] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5619))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X5618),X5619))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1158_pos__mod__sign])]) ).
fof(i_0_2292,plain,
! [X4025,X4026] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X4026))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_nat_int(power_power_int(X4026),X4025))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_487_one__le__power])]) ).
fof(i_0_2293,plain,
! [X3161,X3162] :
( ~ is_int(X3161)
| ~ is_int(X3162)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3161),X3162))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3162),X3161))
| X3161 = X3162 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_40_zle__antisym])]) ).
cnf(i_0_2294,plain,
( hBOOL(hAPP_int_bool(zcong(X2,X3),X1))
| standardRes(X1,X2) != standardRes(X1,X3)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1457]) ).
fof(i_0_2295,plain,
! [X3186,X3187] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3186)),number267125858f_real(X3187)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3186),X3187)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3186),X3187))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3186)),number267125858f_real(X3187))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_52_less__number__of])]) ).
fof(i_0_2296,plain,
! [X3226,X3227] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3226)),number_number_of_int(X3227)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3226),X3227)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3226),X3227))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3226)),number_number_of_int(X3227))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_73_less__number__of__int__code])]) ).
fof(i_0_2297,plain,
! [X3184,X3185] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3184)),number_number_of_int(X3185)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3184),X3185)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3184),X3185))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3184)),number_number_of_int(X3185))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_51_less__number__of])]) ).
fof(i_0_2298,plain,
! [X3190,X3191] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3190)),number267125858f_real(X3191)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3190),X3191)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3190),X3191))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3190)),number267125858f_real(X3191))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_54_le__number__of])]) ).
fof(i_0_2299,plain,
! [X3228,X3229] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3228)),number_number_of_int(X3229)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3228),X3229)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3228),X3229))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3228)),number_number_of_int(X3229))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_74_less__eq__number__of__int__code])]) ).
fof(i_0_2300,plain,
! [X3188,X3189] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3188)),number_number_of_int(X3189)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3188),X3189)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3188),X3189))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3188)),number_number_of_int(X3189))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_le__number__of])]) ).
fof(i_0_2301,plain,
! [X3934] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3934))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),X3934))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_437_le__imp__0__less])]) ).
fof(i_0_2302,plain,
! [X4914,X4915] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4914),X4915))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4915),X4914))
| X4914 = X4915 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_883_real__le__antisym])]) ).
fof(i_0_2303,plain,
! [X5001,X5002] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5001),X5002))
| X5001 != X5002 )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5002),X5001))
| X5001 != X5002 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5001),X5002))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5002),X5001))
| X5001 = X5002 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_924_dvd_Oeq__iff])])]) ).
fof(i_0_2304,plain,
! [X4999,X5000] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4999),X5000))
| X4999 = X5000
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4999),X5000)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5000),X4999))
| X4999 = X5000
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4999),X5000)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4999),X5000))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5000),X4999))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4999),X5000)) )
& ( X4999 != X5000
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4999),X5000)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1461])])]) ).
fof(i_0_2305,plain,
! [X4997,X4998] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4997),X4998))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4997),X4998))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4998),X4997)) )
& ( X4997 != X4998
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4997),X4998))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4998),X4997)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4997),X4998))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4997),X4998))
| X4997 = X4998 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4998),X4997))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4997),X4998))
| X4997 = X4998 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1462])])]) ).
fof(i_0_2306,plain,
! [X4995,X4996] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4995),X4996))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4995),X4996))
| X4995 = X4996 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4996),X4995))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4995),X4996))
| X4995 = X4996 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1463])])]) ).
fof(i_0_2307,plain,
! [X4991,X4992] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4992),X4991))
| X4992 = X4991
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4991),X4992)) )
& ( X4992 != X4991
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4992),X4991))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4991),X4992)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_918_dvd_Oantisym__conv])])]) ).
fof(i_0_2308,plain,
! [X4989,X4990] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4989),X4990))
| X4989 = X4990
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4989),X4990)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4990),X4989))
| X4989 = X4990
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4989),X4990)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1464])])]) ).
fof(i_0_2309,plain,
! [X4987,X4988] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4987),X4988))
| X4987 = X4988
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4987),X4988)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4988),X4987))
| X4987 = X4988
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4987),X4988)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1465])])]) ).
fof(i_0_2310,plain,
! [X4979,X4980] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4979),X4980))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4980),X4979))
| X4979 = X4980 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_913_dvd__antisym])]) ).
fof(i_0_2311,plain,
! [X4977,X4978] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4977),X4978))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4978),X4977))
| X4977 = X4978 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_912_dvd_Oantisym])]) ).
fof(i_0_2312,plain,
! [X4446,X4447] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4446),X4447))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4447),X4446))
| X4446 = X4447 )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4446),X4447))
| X4446 != X4447 )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4447),X4446))
| X4446 != X4447 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_687_divides__antisym])])]) ).
fof(i_0_2313,plain,
! [X5042,X5043] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5042),X5043))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5043),X5042))
| X5042 = X5043 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_941_le__antisym])]) ).
fof(i_0_2314,plain,
! [X5528,X5529] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(X5528,X5529)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5528),X5529)) )
& ( hAPP_nat_nat(plus_plus_nat(X5528),esk32_2(X5528,X5529)) = X5529
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5528),X5529)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1116_less__imp__add__positive])])])]) ).
fof(i_0_2315,plain,
! [X4921,X4922,X4923] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| X4922 = X4923
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4922),X4923)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| X4922 = X4923
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4922),X4923)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4922),X4923)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4922),X4923)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| X4922 = X4923
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| X4922 = X4923
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X4921,X4923),X4922)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_888_nat__less__cases])])]) ).
fof(i_0_2316,plain,
! [X5634,X5635,X5636] :
( ( ~ hBOOL(hAPP_int_bool(X5634,hAPP_int_int(div_mod_int(X5635),X5636)))
| epred1_3(X5634,X5635,X5636)
| ~ is_int(X5635)
| ~ is_int(X5636) )
& ( ~ epred1_3(X5634,X5635,X5636)
| hBOOL(hAPP_int_bool(X5634,hAPP_int_int(div_mod_int(X5635),X5636)))
| ~ is_int(X5635)
| ~ is_int(X5636) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1466])])]) ).
fof(i_0_2317,plain,
! [X5684,X5685] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5684),X5685))
| hAPP_nat_nat(div_mod_nat(X5685),X5684) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X5685),X5684)),X5684) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1183_le__mod__geq])]) ).
cnf(i_0_2318,plain,
hBOOL(hAPP_int_bool(zcong(X1,standardRes(X2,X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1467]) ).
fof(i_0_2319,plain,
! [X5583,X5584] : hBOOL(hAPP_int_bool(zcong(X5583,hAPP_int_int(div_mod_int(X5583),X5584)),X5584)),
inference(variable_rename,[status(thm)],[fact_1144_mod__mod__is__mod]) ).
fof(i_0_2320,plain,
! [X4103] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X4103),X4103)))
| X4103 = zero_zero_real )
& ( X4103 != zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X4103),X4103))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1468])]) ).
fof(i_0_2321,plain,
! [X3467,X3468,X3469] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3467),X3468)),hAPP_real_real(times_times_real(X3469),X3468)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X3467),X3469)),X3468),
inference(variable_rename,[status(thm)],[fact_175_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J]) ).
fof(i_0_2322,plain,
! [X3464,X3465,X3466] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3464),X3465)),hAPP_nat_nat(times_times_nat(X3466),X3465)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X3464),X3466)),X3465),
inference(variable_rename,[status(thm)],[fact_174_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J]) ).
fof(i_0_2323,plain,
! [X3461,X3462,X3463] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3461),X3462)),hAPP_int_int(times_times_int(X3463),X3462)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X3461),X3463)),X3462),
inference(variable_rename,[status(thm)],[fact_173_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J]) ).
fof(i_0_2324,plain,
! [X3968,X3969,X3970] : hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(X3968),X3969)),X3970) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X3968),X3970)),hAPP_nat_real(power_power_real(X3969),X3970)),
inference(variable_rename,[status(thm)],[fact_461_power__mult__distrib]) ).
fof(i_0_2325,plain,
! [X3509,X3510,X3511] : hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(X3509),X3510)),X3511) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X3509),X3511)),hAPP_nat_real(power_power_real(X3510),X3511)),
inference(variable_rename,[status(thm)],[fact_192_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J]) ).
fof(i_0_2326,plain,
! [X4627,X4628,X4629] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X4627),X4628)),X4629) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4627),X4629)),hAPP_real_real(times_times_real(X4628),X4629)),
inference(variable_rename,[status(thm)],[fact_767_real__add__mult__distrib]) ).
fof(i_0_2327,plain,
! [X4503,X4504,X4505] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X4503),X4504)),X4505) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4503),X4505)),hAPP_real_real(times_times_real(X4504),X4505)),
inference(variable_rename,[status(thm)],[fact_721_comm__semiring__class_Odistrib]) ).
fof(i_0_2328,plain,
! [X3476,X3477,X3478] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X3476),X3477)),X3478) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3476),X3478)),hAPP_real_real(times_times_real(X3477),X3478)),
inference(variable_rename,[status(thm)],[fact_178_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J]) ).
fof(i_0_2329,plain,
! [X5688,X5689,X5690] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(div_mod_nat(X5688),X5689)),X5690) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X5688),X5690)),hAPP_nat_nat(times_times_nat(X5689),X5690)),
inference(variable_rename,[status(thm)],[fact_1185_mod__mult__distrib]) ).
fof(i_0_2330,plain,
! [X5068,X5069,X5070] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X5068),X5069)),X5070) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X5068),X5070)),hAPP_nat_nat(times_times_nat(X5069),X5070)),
inference(variable_rename,[status(thm)],[fact_951_diff__mult__distrib]) ).
fof(i_0_2331,plain,
! [X5230,X5231,X5232] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X5230),X5231)),X5232) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5230),X5232)),hAPP_nat_nat(times_times_nat(X5231),X5232)),
inference(variable_rename,[status(thm)],[fact_1017_add__mult__distrib]) ).
fof(i_0_2332,plain,
! [X4506,X4507,X4508] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X4506),X4507)),X4508) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4506),X4508)),hAPP_nat_nat(times_times_nat(X4507),X4508)),
inference(variable_rename,[status(thm)],[fact_722_comm__semiring__class_Odistrib]) ).
fof(i_0_2333,plain,
! [X3473,X3474,X3475] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X3473),X3474)),X3475) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3473),X3475)),hAPP_nat_nat(times_times_nat(X3474),X3475)),
inference(variable_rename,[status(thm)],[fact_177_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J]) ).
fof(i_0_2334,plain,
! [X3965,X3966,X3967] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X3965),X3966)),X3967) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X3965),X3967)),hAPP_nat_nat(power_power_nat(X3966),X3967)),
inference(variable_rename,[status(thm)],[fact_460_power__mult__distrib]) ).
fof(i_0_2335,plain,
! [X3512,X3513,X3514] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X3512),X3513)),X3514) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X3512),X3514)),hAPP_nat_nat(power_power_nat(X3513),X3514)),
inference(variable_rename,[status(thm)],[fact_193_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J]) ).
fof(i_0_2336,plain,
! [X3971,X3972,X3973] : hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(X3971),X3972)),X3973) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X3971),X3973)),hAPP_nat_int(power_power_int(X3972),X3973)),
inference(variable_rename,[status(thm)],[fact_462_power__mult__distrib]) ).
fof(i_0_2337,plain,
! [X3506,X3507,X3508] : hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(X3506),X3507)),X3508) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X3506),X3508)),hAPP_nat_int(power_power_int(X3507),X3508)),
inference(variable_rename,[status(thm)],[fact_191_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J]) ).
fof(i_0_2338,plain,
! [X4269,X4270,X4271] : hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X4269),X4270)),X4271) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X4269),X4271)),hAPP_int_int(times_times_int(X4270),X4271)),
inference(variable_rename,[status(thm)],[fact_617_zdiff__zmult__distrib]) ).
cnf(i_0_2339,plain,
hAPP_int_int(times_times_int(bit0(X1)),X2) = bit0(hAPP_int_int(times_times_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1469]) ).
fof(i_0_2340,plain,
! [X4509,X4510,X4511] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X4509),X4510)),X4511) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4509),X4511)),hAPP_int_int(times_times_int(X4510),X4511)),
inference(variable_rename,[status(thm)],[fact_723_comm__semiring__class_Odistrib]) ).
fof(i_0_2341,plain,
! [X3535,X3536,X3537] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X3535),X3536)),X3537) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3535),X3537)),hAPP_int_int(times_times_int(X3536),X3537)),
inference(variable_rename,[status(thm)],[fact_210_zadd__zmult__distrib]) ).
fof(i_0_2342,plain,
! [X3470,X3471,X3472] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X3470),X3471)),X3472) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3470),X3472)),hAPP_int_int(times_times_int(X3471),X3472)),
inference(variable_rename,[status(thm)],[fact_176_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J]) ).
fof(i_0_2343,plain,
! [X3236,X3237] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3237),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X3237)),number_number_of_nat(X3236)) = number_number_of_nat(X3236) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3236),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X3237)),number_number_of_nat(X3236)) = number_number_of_nat(X3237)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3237),pls)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3236),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X3237)),number_number_of_nat(X3236)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X3237),X3236))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3237),pls)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1470])])]) ).
fof(i_0_2344,plain,
! [X5696,X5697] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X5696),X5697)),X5696)),
inference(variable_rename,[status(thm)],[fact_1188_mod__less__eq__dividend]) ).
fof(i_0_2345,plain,
! [X5044,X5045] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X5044),X5045)),X5044)),
inference(variable_rename,[status(thm)],[fact_942_Nat_Odiff__le__self]) ).
fof(i_0_2346,plain,
! [X3853,X3854] :
( ( X3853 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3853),X3853)),hAPP_int_int(times_times_int(X3854),X3854)) != zero_zero_int
| ~ is_int(X3853)
| ~ is_int(X3854) )
& ( X3854 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3853),X3853)),hAPP_int_int(times_times_int(X3854),X3854)) != zero_zero_int
| ~ is_int(X3853)
| ~ is_int(X3854) )
& ( X3853 != zero_zero_int
| X3854 != zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3853),X3853)),hAPP_int_int(times_times_int(X3854),X3854)) = zero_zero_int
| ~ is_int(X3853)
| ~ is_int(X3854) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_385_sum__squares__eq__zero__iff])])]) ).
fof(i_0_2347,plain,
! [X3929] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3929)),zero_zero_real))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3929),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3929),pls))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X3929)),zero_zero_real)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_432_less__special_I3_J])]) ).
fof(i_0_2348,plain,
! [X3928] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3928)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3928),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3928),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X3928)),zero_zero_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_431_less__special_I3_J])]) ).
fof(i_0_2349,plain,
! [X3932] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3932)),zero_zero_real))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3932),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3932),pls))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X3932)),zero_zero_real)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_435_le__special_I3_J])]) ).
fof(i_0_2350,plain,
! [X3933] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3933)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3933),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3933),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X3933)),zero_zero_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_436_le__special_I3_J])]) ).
fof(i_0_2351,plain,
! [X4463,X4464] :
( ( X4464 != zero_zero_nat
| hAPP_nat_nat(times_times_nat(X4464),X4463) = zero_zero_nat )
& ( X4464 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X4464),X4463) = hAPP_nat_nat(plus_plus_nat(X4463),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X4464),one_one_nat)),X4463)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_695_mult__eq__if])]) ).
fof(i_0_2352,plain,
! [X5216,X5217] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5216),X5217))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X5217),X5216)),X5216) = X5217 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1012_le__add__diff__inverse2])]) ).
fof(i_0_2353,plain,
! [X5562,X5563] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,number_number_of_int(X5562)),number_number_of_int(X5563)))
| hAPP_int_int(div_mod_int(number_number_of_int(X5563)),number_number_of_int(X5562)) = zero_zero_int )
& ( hAPP_int_int(div_mod_int(number_number_of_int(X5563)),number_number_of_int(X5562)) != zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,number_number_of_int(X5562)),number_number_of_int(X5563))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1136_zdvd__iff__zmod__eq__0__number__of])]) ).
fof(i_0_2354,plain,
! [X4876,X4877] :
( ( X4876 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4876),X4876)),hAPP_real_real(times_times_real(X4877),X4877)) != zero_zero_real )
& ( X4877 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4876),X4876)),hAPP_real_real(times_times_real(X4877),X4877)) != zero_zero_real )
& ( X4876 != zero_zero_real
| X4877 != zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4876),X4876)),hAPP_real_real(times_times_real(X4877),X4877)) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_866_real__two__squares__add__zero__iff])])]) ).
fof(i_0_2355,plain,
! [X3855,X3856] :
( ( X3855 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3855),X3855)),hAPP_real_real(times_times_real(X3856),X3856)) != zero_zero_real )
& ( X3856 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3855),X3855)),hAPP_real_real(times_times_real(X3856),X3856)) != zero_zero_real )
& ( X3855 != zero_zero_real
| X3856 != zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3855),X3855)),hAPP_real_real(times_times_real(X3856),X3856)) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_386_sum__squares__eq__zero__iff])])]) ).
fof(i_0_2356,plain,
! [X4158,X4159] :
( ~ is_int(X4158)
| ~ is_int(X4159)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4158),X4159))
| X4158 = X4159
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4158),X4159)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_570_order__le__neq__implies__less])]) ).
fof(i_0_2357,plain,
! [X3154,X3155] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3154),X3155))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3154),X3155))
| ~ is_int(X3154)
| ~ is_int(X3155) )
& ( X3154 != X3155
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3154),X3155))
| ~ is_int(X3154)
| ~ is_int(X3155) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3154),X3155))
| X3154 = X3155
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3154),X3155))
| ~ is_int(X3154)
| ~ is_int(X3155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_37_zless__le])])]) ).
fof(i_0_2358,plain,
! [X3857,X3858,X3859,X3860,X3861] :
( ~ is_int(X3857)
| ~ is_int(X3858)
| ~ is_int(X3861)
| X3861 = zero_zero_int
| X3859 != X3860
| X3857 = X3858
| hAPP_int_int(plus_plus_int(X3859),hAPP_int_int(times_times_int(X3861),X3857)) != hAPP_int_int(plus_plus_int(X3860),hAPP_int_int(times_times_int(X3861),X3858)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_387_add__scale__eq__noteq])]) ).
fof(i_0_2359,plain,
! [X4140,X4141,X4142] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4140,X4141),X4142))
| hBOOL(hAPP_int_bool(zcong(X4141,X4140),X4142)) )
& ( ~ hBOOL(hAPP_int_bool(zcong(X4141,X4140),X4142))
| hBOOL(hAPP_int_bool(zcong(X4140,X4141),X4142)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_562_zcong__sym])]) ).
fof(i_0_2360,plain,
! [X5393] :
( ( is_int(esk22_1(X5393))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5393)) )
& ( hBOOL(hAPP_int_bool(zprime,esk22_1(X5393)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5393)) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,esk22_1(X5393)),X5393))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5393)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1067_zprime__factor__exists])])])]) ).
fof(i_0_2361,plain,
! [X3927] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X3927)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3927)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3927))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X3927))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_430_less__special_I1_J])]) ).
fof(i_0_2362,plain,
! [X4137] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X4137)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X4137)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X4137))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X4137))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_559_less__0__number__of])]) ).
fof(i_0_2363,plain,
! [X3926] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X3926)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3926)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X3926))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X3926))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_429_less__special_I1_J])]) ).
fof(i_0_2364,plain,
! [X3930] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X3930)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3930)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3930))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X3930))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_433_le__special_I1_J])]) ).
fof(i_0_2365,plain,
! [X3931] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X3931)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3931)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3931))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X3931))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_434_le__special_I1_J])]) ).
fof(i_0_2366,plain,
! [X4444,X4445] :
( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4444),X4445))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4444),X4445)) )
& ( X4444 != X4445
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4444),X4445)) )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4444),X4445))
| X4444 = X4445
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4444),X4445)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_686_real__less__def])])]) ).
fof(i_0_2367,plain,
! [X4442,X4443] :
( ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4442),X4443))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4442),X4443))
| X4442 = X4443 )
& ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4442),X4443))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4442),X4443)) )
& ( X4442 != X4443
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4442),X4443)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_685_less__eq__real__def])])]) ).
fof(i_0_2368,plain,
! [X4154,X4155] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4154),X4155))
| X4154 = X4155
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4154),X4155)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_568_order__le__neq__implies__less])]) ).
fof(i_0_2369,plain,
! [X5146,X5147] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5146),X5147))
| X5146 = X5147
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5146),X5147)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_988_le__neq__implies__less])]) ).
fof(i_0_2370,plain,
! [X5142,X5143] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5142),X5143))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5142),X5143))
| X5142 = X5143 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5142),X5143))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5142),X5143)) )
& ( X5142 != X5143
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5142),X5143)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_986_le__eq__less__or__eq])])]) ).
fof(i_0_2371,plain,
! [X5140,X5141] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5140),X5141))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5140),X5141)) )
& ( X5140 != X5141
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5140),X5141)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5140),X5141))
| X5140 = X5141
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5140),X5141)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_985_nat__less__le])])]) ).
fof(i_0_2372,plain,
! [X4156,X4157] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4156),X4157))
| X4156 = X4157
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4156),X4157)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_569_order__le__neq__implies__less])]) ).
fof(i_0_2373,plain,
! [X5552,X5553] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5552),X5553))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5552),X5553))
| X5553 = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1131_divides__le])]) ).
fof(i_0_2374,plain,
! [X4857,X4858] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4857),X4858))
| X4858 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4857),X4858)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_859_divides__ge])]) ).
fof(i_0_2375,plain,
! [X5148,X5149] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5148),X5149))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5148),X5149)) )
& ( X5148 != X5149
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5148),X5149)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_989_less__or__eq__imp__le])])]) ).
fof(i_0_2376,plain,
! [X5144,X5145] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5144),X5145))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5144),X5145)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_987_less__imp__le__nat])]) ).
fof(i_0_2377,plain,
! [X4375,X4376] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4375,zero_zero_int),X4376))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4376),X4375)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4376),X4375))
| hBOOL(hAPP_int_bool(zcong(X4375,zero_zero_int),X4376)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_656_zcong__zero__equiv__div])]) ).
fof(i_0_2378,plain,
! [X4373,X4374] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4373,zero_zero_int),X4374))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4374),X4373)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4374),X4373))
| hBOOL(hAPP_int_bool(zcong(X4373,zero_zero_int),X4374)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_655_zcong__eq__zdvd__prop])]) ).
fof(i_0_2379,plain,
! [X5679,X5680] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5679),X5680))
| hAPP_nat_nat(div_mod_nat(X5679),X5680) = X5679 )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5679),X5680))
| hAPP_nat_nat(div_mod_nat(X5679),X5680) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X5679),X5680)),X5680) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1471])]) ).
fof(i_0_2380,plain,
! [X5677,X5678] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5677),X5678))
| hAPP_nat_nat(div_mod_nat(X5677),X5678) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X5677),X5678)),X5678) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1472])]) ).
fof(i_0_2381,plain,
! [X3199,X3200,X3201] : hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X3199),X3200)),hAPP_nat_real(power_power_real(X3199),X3201)) = hAPP_nat_real(power_power_real(X3199),hAPP_nat_nat(plus_plus_nat(X3200),X3201)),
inference(variable_rename,[status(thm)],[fact_57_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J]) ).
fof(i_0_2382,plain,
! [X3202,X3203,X3204] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X3202),X3203)),hAPP_nat_nat(power_power_nat(X3202),X3204)) = hAPP_nat_nat(power_power_nat(X3202),hAPP_nat_nat(plus_plus_nat(X3203),X3204)),
inference(variable_rename,[status(thm)],[fact_58_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J]) ).
fof(i_0_2383,plain,
! [X3196,X3197,X3198] : hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X3196),X3197)),hAPP_nat_int(power_power_int(X3196),X3198)) = hAPP_nat_int(power_power_int(X3196),hAPP_nat_nat(plus_plus_nat(X3197),X3198)),
inference(variable_rename,[status(thm)],[fact_56_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J]) ).
fof(i_0_2384,plain,
! [X3977,X3978,X3979] : hAPP_nat_real(power_power_real(X3977),hAPP_nat_nat(plus_plus_nat(X3978),X3979)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X3977),X3978)),hAPP_nat_real(power_power_real(X3977),X3979)),
inference(variable_rename,[status(thm)],[fact_464_power__add]) ).
fof(i_0_2385,plain,
! [X3497,X3498,X3499] : hAPP_real_real(times_times_real(X3497),hAPP_real_real(plus_plus_real(X3498),X3499)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3497),X3498)),hAPP_real_real(times_times_real(X3497),X3499)),
inference(variable_rename,[status(thm)],[fact_184_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J]) ).
fof(i_0_2386,plain,
! [X5691,X5692,X5693] : hAPP_nat_nat(times_times_nat(X5691),hAPP_nat_nat(div_mod_nat(X5692),X5693)) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X5691),X5692)),hAPP_nat_nat(times_times_nat(X5691),X5693)),
inference(variable_rename,[status(thm)],[fact_1186_mod__mult__distrib2]) ).
fof(i_0_2387,plain,
! [X5071,X5072,X5073] : hAPP_nat_nat(times_times_nat(X5071),hAPP_nat_nat(minus_minus_nat(X5072),X5073)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X5071),X5072)),hAPP_nat_nat(times_times_nat(X5071),X5073)),
inference(variable_rename,[status(thm)],[fact_952_diff__mult__distrib2]) ).
fof(i_0_2388,plain,
! [X5233,X5234,X5235] : hAPP_nat_nat(times_times_nat(X5233),hAPP_nat_nat(plus_plus_nat(X5234),X5235)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X5233),X5234)),hAPP_nat_nat(times_times_nat(X5233),X5235)),
inference(variable_rename,[status(thm)],[fact_1018_add__mult__distrib2]) ).
fof(i_0_2389,plain,
! [X3494,X3495,X3496] : hAPP_nat_nat(times_times_nat(X3494),hAPP_nat_nat(plus_plus_nat(X3495),X3496)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3494),X3495)),hAPP_nat_nat(times_times_nat(X3494),X3496)),
inference(variable_rename,[status(thm)],[fact_183_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J]) ).
fof(i_0_2390,plain,
! [X3974,X3975,X3976] : hAPP_nat_nat(power_power_nat(X3974),hAPP_nat_nat(plus_plus_nat(X3975),X3976)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X3974),X3975)),hAPP_nat_nat(power_power_nat(X3974),X3976)),
inference(variable_rename,[status(thm)],[fact_463_power__add]) ).
fof(i_0_2391,plain,
! [X3980,X3981,X3982] : hAPP_nat_int(power_power_int(X3980),hAPP_nat_nat(plus_plus_nat(X3981),X3982)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X3980),X3981)),hAPP_nat_int(power_power_int(X3980),X3982)),
inference(variable_rename,[status(thm)],[fact_465_power__add]) ).
fof(i_0_2392,plain,
! [X3205,X3206,X3207] : hAPP_nat_int(power_power_int(X3205),hAPP_nat_nat(plus_plus_nat(X3206),X3207)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X3205),X3206)),hAPP_nat_int(power_power_int(X3205),X3207)),
inference(variable_rename,[status(thm)],[fact_59_zpower__zadd__distrib]) ).
fof(i_0_2393,plain,
! [X4266,X4267,X4268] : hAPP_int_int(times_times_int(X4266),hAPP_int_int(minus_minus_int(X4267),X4268)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X4266),X4267)),hAPP_int_int(times_times_int(X4266),X4268)),
inference(variable_rename,[status(thm)],[fact_616_zdiff__zmult__distrib2]) ).
fof(i_0_2394,plain,
! [X3538,X3539,X3540] : hAPP_int_int(times_times_int(X3538),hAPP_int_int(plus_plus_int(X3539),X3540)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3538),X3539)),hAPP_int_int(times_times_int(X3538),X3540)),
inference(variable_rename,[status(thm)],[fact_211_zadd__zmult__distrib2]) ).
fof(i_0_2395,plain,
! [X3491,X3492,X3493] : hAPP_int_int(times_times_int(X3491),hAPP_int_int(plus_plus_int(X3492),X3493)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3491),X3492)),hAPP_int_int(times_times_int(X3491),X3493)),
inference(variable_rename,[status(thm)],[fact_182_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J]) ).
fof(i_0_2396,plain,
! [X3298,X3299,X3300] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3298),X3299)),X3300) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3298),X3300)),X3299),
inference(variable_rename,[status(thm)],[fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(i_0_2397,plain,
! [X3355,X3356,X3357] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X3355),X3356)),X3357) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X3355),X3357)),X3356),
inference(variable_rename,[status(thm)],[fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J]) ).
fof(i_0_2398,plain,
! [X4905,X4906,X4907] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X4905),X4906)),X4907) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X4905),X4907)),X4906),
inference(variable_rename,[status(thm)],[fact_879_diff__commute]) ).
fof(i_0_2399,plain,
! [X3295,X3296,X3297] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3295),X3296)),X3297) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3295),X3297)),X3296),
inference(variable_rename,[status(thm)],[fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(i_0_2400,plain,
! [X3352,X3353,X3354] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X3352),X3353)),X3354) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X3352),X3354)),X3353),
inference(variable_rename,[status(thm)],[fact_121_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J]) ).
fof(i_0_2401,plain,
! [X3292,X3293,X3294] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3292),X3293)),X3294) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3292),X3294)),X3293),
inference(variable_rename,[status(thm)],[fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(i_0_2402,plain,
! [X3349,X3350,X3351] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3349),X3350)),X3351) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3349),X3351)),X3350),
inference(variable_rename,[status(thm)],[fact_120_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J]) ).
fof(i_0_2403,plain,
! [X5474,X5475] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5475))
| hBOOL(member_int(X5475,wset(X5475,X5474))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1098_wset__mem__mem])]) ).
fof(i_0_2404,plain,
! [X3867,X3868,X3869,X3870,X3871] :
( X3871 = zero_zero_real
| X3869 != X3870
| X3867 = X3868
| hAPP_real_real(plus_plus_real(X3869),hAPP_real_real(times_times_real(X3871),X3867)) != hAPP_real_real(plus_plus_real(X3870),hAPP_real_real(times_times_real(X3871),X3868)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_389_add__scale__eq__noteq])]) ).
fof(i_0_2405,plain,
! [X3862,X3863,X3864,X3865,X3866] :
( X3866 = zero_zero_nat
| X3864 != X3865
| X3862 = X3863
| hAPP_nat_nat(plus_plus_nat(X3864),hAPP_nat_nat(times_times_nat(X3866),X3862)) != hAPP_nat_nat(plus_plus_nat(X3865),hAPP_nat_nat(times_times_nat(X3866),X3863)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_388_add__scale__eq__noteq])]) ).
fof(i_0_2406,plain,
! [X3254,X3255] :
( ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X3255))
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X3254))
| hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(X3255),X3254))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_90_is__mult__sum2sq])]) ).
fof(i_0_2407,plain,
! [X5522,X5523] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5522),X5523))
| ~ hBOOL(member_int(X5523,d22set(X5522))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1473])]) ).
fof(i_0_2408,plain,
! [X3578,X3579] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3578),X3579)),X3579) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X3578),one_one_real)),X3579),
inference(variable_rename,[status(thm)],[fact_228_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J]) ).
fof(i_0_2409,plain,
! [X3576,X3577] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3576),X3577)),X3577) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X3576),one_one_nat)),X3577),
inference(variable_rename,[status(thm)],[fact_227_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J]) ).
fof(i_0_2410,plain,
! [X3574,X3575] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3574),X3575)),X3575) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X3574),one_one_int)),X3575),
inference(variable_rename,[status(thm)],[fact_226_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J]) ).
fof(i_0_2411,plain,
! [X5539] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5539),one_one_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X5539)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1474])]) ).
fof(i_0_2412,plain,
! [X5538] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5538))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5538),zero_zero_nat)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1475])]) ).
fof(i_0_2413,plain,
! [X3922] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X3922))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3922)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3922))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X3922)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_426_int__one__le__iff__zero__less])]) ).
fof(i_0_2414,plain,
! [X5052,X5053] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5052),X5053))
| hAPP_nat_nat(minus_minus_nat(X5053),hAPP_nat_nat(minus_minus_nat(X5053),X5052)) = X5052 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_945_diff__diff__cancel])]) ).
fof(i_0_2415,plain,
! [X5208,X5209] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5208),X5209))
| hAPP_nat_nat(plus_plus_nat(X5208),hAPP_nat_nat(minus_minus_nat(X5209),X5208)) = X5209 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1009_le__add__diff__inverse])]) ).
cnf(i_0_2416,hypothesis,
( is_int(bit1(X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1476]) ).
fof(i_0_2417,plain,
! [X4036,X4037,X4038] :
( ( hAPP_nat_real(power_power_real(X4038),X4036) != hAPP_nat_real(power_power_real(X4038),X4037)
| X4036 = X4037
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X4038)) )
& ( X4036 != X4037
| hAPP_nat_real(power_power_real(X4038),X4036) = hAPP_nat_real(power_power_real(X4038),X4037)
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X4038)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_491_power__inject__exp])])]) ).
fof(i_0_2418,plain,
! [X5554,X5555,X5556] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5556))
| hAPP_nat_nat(times_times_nat(X5556),X5554) != hAPP_nat_nat(times_times_nat(X5556),X5555)
| X5554 = X5555 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1132_mult__left__cancel])]) ).
fof(i_0_2419,plain,
! [X5318,X5319,X5320] :
( ( hAPP_nat_nat(times_times_nat(X5320),X5318) != hAPP_nat_nat(times_times_nat(X5320),X5319)
| X5318 = X5319
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5320)) )
& ( X5318 != X5319
| hAPP_nat_nat(times_times_nat(X5320),X5318) = hAPP_nat_nat(times_times_nat(X5320),X5319)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5320)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1047_nat__mult__eq__cancel1])])]) ).
fof(i_0_2420,plain,
! [X4039,X4040,X4041] :
( ( hAPP_nat_nat(power_power_nat(X4041),X4039) != hAPP_nat_nat(power_power_nat(X4041),X4040)
| X4039 = X4040
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4041)) )
& ( X4039 != X4040
| hAPP_nat_nat(power_power_nat(X4041),X4039) = hAPP_nat_nat(power_power_nat(X4041),X4040)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X4041)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_492_power__inject__exp])])]) ).
fof(i_0_2421,plain,
! [X4042,X4043,X4044] :
( ( hAPP_nat_int(power_power_int(X4044),X4042) != hAPP_nat_int(power_power_int(X4044),X4043)
| X4042 = X4043
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4044)) )
& ( X4042 != X4043
| hAPP_nat_int(power_power_int(X4044),X4042) = hAPP_nat_int(power_power_int(X4044),X4043)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X4044)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_493_power__inject__exp])])]) ).
fof(i_0_2422,plain,
! [X5218,X5219,X5220] :
( ( hAPP_nat_nat(minus_minus_nat(X5220),X5219) != X5218
| X5220 = hAPP_nat_nat(plus_plus_nat(X5218),X5219)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5219),X5220)) )
& ( X5220 != hAPP_nat_nat(plus_plus_nat(X5218),X5219)
| hAPP_nat_nat(minus_minus_nat(X5220),X5219) = X5218
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5219),X5220)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1013_le__imp__diff__is__add])])]) ).
fof(i_0_2423,plain,
! [X5402] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5402),zero_zero_int))
| zfact(X5402) = one_one_int )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5402),zero_zero_int))
| zfact(X5402) = hAPP_int_int(times_times_int(X5402),zfact(hAPP_int_int(minus_minus_int(X5402),one_one_int))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1477])]) ).
cnf(i_0_2424,plain,
hAPP_int_int(minus_minus_int(pls),bit0(X1)) = bit0(hAPP_int_int(minus_minus_int(pls),X1)),
inference(split_conjunct,[status(thm)],[i_0_1478]) ).
fof(i_0_2425,plain,
! [X4428,X4429] :
( ~ is_int(X4428)
| ~ is_int(X4429)
| X4428 = X4429
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4428),X4429))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4429),X4428)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1479])]) ).
fof(i_0_2426,plain,
! [X3156,X3157] :
( ~ is_int(X3156)
| ~ is_int(X3157)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3156),X3157))
| X3156 = X3157
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3157),X3156)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_38_zless__linear])]) ).
fof(i_0_2427,plain,
! [X5168,X5169,X5171,X5172,X5173] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5168),X5169))
| X5169 = hAPP_nat_nat(plus_plus_nat(X5168),esk14_2(X5168,X5169)) )
& ( X5172 != hAPP_nat_nat(plus_plus_nat(X5171),X5173)
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5171),X5172)) ) ),
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_997_le__iff__add])])])])]) ).
cnf(i_0_2428,plain,
bit1(X1) != bit0(X2),
inference(split_conjunct,[status(thm)],[i_0_1480]) ).
cnf(i_0_2429,plain,
bit0(X1) != bit1(X2),
inference(split_conjunct,[status(thm)],[i_0_1481]) ).
fof(i_0_2430,plain,
! [X3923,X3924] :
( ( X3924 = one_one_int
| hAPP_int_int(times_times_int(X3924),X3923) != one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3924))
| ~ is_int(X3923)
| ~ is_int(X3924) )
& ( X3923 = one_one_int
| hAPP_int_int(times_times_int(X3924),X3923) != one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3924))
| ~ is_int(X3923)
| ~ is_int(X3924) )
& ( X3924 != one_one_int
| X3923 != one_one_int
| hAPP_int_int(times_times_int(X3924),X3923) = one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3924))
| ~ is_int(X3923)
| ~ is_int(X3924) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_427_pos__zmult__eq__1__iff])])]) ).
fof(i_0_2431,plain,
! [X4399,X4400] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4399,zero_zero_int),X4400))
| legendre(X4399,X4400) = zero_zero_int )
& ( ~ hBOOL(hAPP_int_bool(quadRes(X4400),X4399))
| legendre(X4399,X4400) = one_one_int
| hBOOL(hAPP_int_bool(zcong(X4399,zero_zero_int),X4400)) )
& ( hBOOL(hAPP_int_bool(quadRes(X4400),X4399))
| legendre(X4399,X4400) = number_number_of_int(min)
| hBOOL(hAPP_int_bool(zcong(X4399,zero_zero_int),X4400)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1482])])]) ).
cnf(i_0_2432,plain,
number267125858f_real(bit0(X1)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(X1))),number267125858f_real(X1)),
inference(split_conjunct,[status(thm)],[i_0_1483]) ).
cnf(i_0_2433,plain,
number_number_of_int(bit0(X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(X1))),number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[i_0_1484]) ).
cnf(i_0_2434,plain,
number267125858f_real(bit1(pls)) = one_one_real,
inference(split_conjunct,[status(thm)],[fact_264_numeral__1__eq__1]) ).
cnf(i_0_2435,plain,
number267125858f_real(bit1(pls)) = one_one_real,
inference(split_conjunct,[status(thm)],[fact_262_semiring__numeral__1__eq__1]) ).
cnf(i_0_2436,plain,
number_number_of_nat(bit1(pls)) = one_one_nat,
inference(split_conjunct,[status(thm)],[fact_261_semiring__numeral__1__eq__1]) ).
cnf(i_0_2437,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_2438,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(split_conjunct,[status(thm)],[fact_263_numeral__1__eq__1]) ).
cnf(i_0_2439,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_2440,plain,
one_one_real = number267125858f_real(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_266_semiring__norm_I110_J]) ).
cnf(i_0_2441,plain,
one_one_nat = number_number_of_nat(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_79_Numeral1__eq1__nat]) ).
cnf(i_0_2442,plain,
one_one_int = number_number_of_int(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_267_one__is__num__one]) ).
cnf(i_0_2443,plain,
one_one_int = number_number_of_int(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_265_semiring__norm_I110_J]) ).
fof(i_0_2444,plain,
! [X5658] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X5658))
| hAPP_int_int(div_mod_int(number_number_of_int(min)),X5658) = hAPP_int_int(minus_minus_int(X5658),one_one_int) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1173_zmod__minus1])]) ).
fof(i_0_2445,plain,
! [X4426,X4427] :
( X4426 = X4427
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4426),X4427))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X4427),X4426)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1485])]) ).
fof(i_0_2446,plain,
! [X4931,X4932] :
( ( X4931 = X4932
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4931),X4932))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4932),X4931)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4931),X4932))
| X4931 != X4932 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4932),X4931))
| X4931 != X4932 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_893_nat__neq__iff])])]) ).
fof(i_0_2447,plain,
! [X4929,X4930] :
( X4929 = X4930
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4929),X4930))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4930),X4929)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1486])]) ).
fof(i_0_2448,plain,
! [X5028,X5029,X5030] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5028),X5029)),hAPP_nat_nat(plus_plus_nat(X5028),X5030)) = hAPP_nat_nat(minus_minus_nat(X5029),X5030),
inference(variable_rename,[status(thm)],[fact_935_Nat_Odiff__cancel]) ).
fof(i_0_2449,plain,
! [X5031,X5032,X5033] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5031),X5032)),hAPP_nat_nat(plus_plus_nat(X5033),X5032)) = hAPP_nat_nat(minus_minus_nat(X5031),X5033),
inference(variable_rename,[status(thm)],[fact_936_diff__cancel2]) ).
fof(i_0_2450,plain,
! [X3166,X3167,X3168] : hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X3166),X3167)),X3168) = hAPP_nat_real(power_power_real(X3166),hAPP_nat_nat(times_times_nat(X3167),X3168)),
inference(variable_rename,[status(thm)],[fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J]) ).
fof(i_0_2451,plain,
! [X3961,X3962] : hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X3961),X3962)),X3961) = hAPP_real_real(times_times_real(X3961),hAPP_nat_real(power_power_real(X3961),X3962)),
inference(variable_rename,[status(thm)],[fact_458_power__commutes]) ).
fof(i_0_2452,plain,
! [X4448,X4449,X4450] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X4448),X4449)),X4450) = hAPP_real_real(times_times_real(X4448),hAPP_real_real(times_times_real(X4449),X4450)),
inference(variable_rename,[status(thm)],[fact_688_real__mult__assoc]) ).
fof(i_0_2453,plain,
! [X3307,X3308,X3309] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3307),X3308)),X3309) = hAPP_real_real(times_times_real(X3307),hAPP_real_real(times_times_real(X3308),X3309)),
inference(variable_rename,[status(thm)],[fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J]) ).
fof(i_0_2454,plain,
! [X3364,X3365,X3366] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X3364),X3365)),X3366) = hAPP_real_real(plus_plus_real(X3364),hAPP_real_real(plus_plus_real(X3365),X3366)),
inference(variable_rename,[status(thm)],[fact_125_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J]) ).
fof(i_0_2455,plain,
! [X5025,X5026,X5027] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X5025),X5026)),X5027) = hAPP_nat_nat(minus_minus_nat(X5025),hAPP_nat_nat(plus_plus_nat(X5026),X5027)),
inference(variable_rename,[status(thm)],[fact_934_diff__diff__left]) ).
fof(i_0_2456,plain,
! [X5063,X5064,X5065] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X5063),X5064)),X5065) = hAPP_nat_nat(times_times_nat(X5063),hAPP_nat_nat(times_times_nat(X5064),X5065)),
inference(variable_rename,[status(thm)],[fact_949_nat__mult__assoc]) ).
fof(i_0_2457,plain,
! [X3304,X3305,X3306] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3304),X3305)),X3306) = hAPP_nat_nat(times_times_nat(X3304),hAPP_nat_nat(times_times_nat(X3305),X3306)),
inference(variable_rename,[status(thm)],[fact_104_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J]) ).
fof(i_0_2458,plain,
! [X3959,X3960] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X3959),X3960)),X3959) = hAPP_nat_nat(times_times_nat(X3959),hAPP_nat_nat(power_power_nat(X3959),X3960)),
inference(variable_rename,[status(thm)],[fact_457_power__commutes]) ).
fof(i_0_2459,plain,
! [X3169,X3170,X3171] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X3169),X3170)),X3171) = hAPP_nat_nat(power_power_nat(X3169),hAPP_nat_nat(times_times_nat(X3170),X3171)),
inference(variable_rename,[status(thm)],[fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J]) ).
fof(i_0_2460,plain,
! [X5012,X5013,X5014] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X5012),X5013)),X5014) = hAPP_nat_nat(plus_plus_nat(X5012),hAPP_nat_nat(plus_plus_nat(X5013),X5014)),
inference(variable_rename,[status(thm)],[fact_929_nat__add__assoc]) ).
fof(i_0_2461,plain,
! [X3361,X3362,X3363] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X3361),X3362)),X3363) = hAPP_nat_nat(plus_plus_nat(X3361),hAPP_nat_nat(plus_plus_nat(X3362),X3363)),
inference(variable_rename,[status(thm)],[fact_124_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J]) ).
fof(i_0_2462,plain,
! [X3175,X3176,X3177] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X3175),X3176)),X3177) = hAPP_nat_int(power_power_int(X3175),hAPP_nat_nat(times_times_nat(X3176),X3177)),
inference(variable_rename,[status(thm)],[fact_47_zpower__zpower]) ).
fof(i_0_2463,plain,
! [X3163,X3164,X3165] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X3163),X3164)),X3165) = hAPP_nat_int(power_power_int(X3163),hAPP_nat_nat(times_times_nat(X3164),X3165)),
inference(variable_rename,[status(thm)],[fact_41_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J]) ).
fof(i_0_2464,plain,
! [X3963,X3964] : hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X3963),X3964)),X3963) = hAPP_int_int(times_times_int(X3963),hAPP_nat_int(power_power_int(X3963),X3964)),
inference(variable_rename,[status(thm)],[fact_459_power__commutes]) ).
fof(i_0_2465,plain,
! [X3405,X3406,X3407] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3405),X3406)),X3407) = hAPP_int_int(times_times_int(X3405),hAPP_int_int(times_times_int(X3406),X3407)),
inference(variable_rename,[status(thm)],[fact_142_zmult__assoc]) ).
fof(i_0_2466,plain,
! [X3301,X3302,X3303] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3301),X3302)),X3303) = hAPP_int_int(times_times_int(X3301),hAPP_int_int(times_times_int(X3302),X3303)),
inference(variable_rename,[status(thm)],[fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J]) ).
fof(i_0_2467,plain,
! [X3411,X3412,X3413] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3411),X3412)),X3413) = hAPP_int_int(plus_plus_int(X3411),hAPP_int_int(plus_plus_int(X3412),X3413)),
inference(variable_rename,[status(thm)],[fact_145_zadd__assoc]) ).
fof(i_0_2468,plain,
! [X3358,X3359,X3360] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3358),X3359)),X3360) = hAPP_int_int(plus_plus_int(X3358),hAPP_int_int(plus_plus_int(X3359),X3360)),
inference(variable_rename,[status(thm)],[fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J]) ).
fof(i_0_2469,plain,
! [X3989,X3990,X3991] : hAPP_nat_real(power_power_real(X3989),hAPP_nat_nat(times_times_nat(X3990),X3991)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X3989),X3990)),X3991),
inference(variable_rename,[status(thm)],[fact_470_power__mult]) ).
fof(i_0_2470,plain,
! [X3316,X3317,X3318] : hAPP_real_real(times_times_real(X3316),hAPP_real_real(times_times_real(X3317),X3318)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X3316),X3317)),X3318),
inference(variable_rename,[status(thm)],[fact_108_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J]) ).
fof(i_0_2471,plain,
! [X3373,X3374,X3375] : hAPP_real_real(plus_plus_real(X3373),hAPP_real_real(plus_plus_real(X3374),X3375)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X3373),X3374)),X3375),
inference(variable_rename,[status(thm)],[fact_128_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
fof(i_0_2472,plain,
! [X3313,X3314,X3315] : hAPP_nat_nat(times_times_nat(X3313),hAPP_nat_nat(times_times_nat(X3314),X3315)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X3313),X3314)),X3315),
inference(variable_rename,[status(thm)],[fact_107_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J]) ).
fof(i_0_2473,plain,
! [X3986,X3987,X3988] : hAPP_nat_nat(power_power_nat(X3986),hAPP_nat_nat(times_times_nat(X3987),X3988)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X3986),X3987)),X3988),
inference(variable_rename,[status(thm)],[fact_469_power__mult]) ).
fof(i_0_2474,plain,
! [X3370,X3371,X3372] : hAPP_nat_nat(plus_plus_nat(X3370),hAPP_nat_nat(plus_plus_nat(X3371),X3372)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X3370),X3371)),X3372),
inference(variable_rename,[status(thm)],[fact_127_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
fof(i_0_2475,plain,
! [X3992,X3993,X3994] : hAPP_nat_int(power_power_int(X3992),hAPP_nat_nat(times_times_nat(X3993),X3994)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X3992),X3993)),X3994),
inference(variable_rename,[status(thm)],[fact_471_power__mult]) ).
fof(i_0_2476,plain,
! [X3310,X3311,X3312] : hAPP_int_int(times_times_int(X3310),hAPP_int_int(times_times_int(X3311),X3312)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X3310),X3311)),X3312),
inference(variable_rename,[status(thm)],[fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J]) ).
fof(i_0_2477,plain,
! [X3367,X3368,X3369] : hAPP_int_int(plus_plus_int(X3367),hAPP_int_int(plus_plus_int(X3368),X3369)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3367),X3368)),X3369),
inference(variable_rename,[status(thm)],[fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).
fof(i_0_2478,plain,
! [X4152,X4153] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4153),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X4153)),number_number_of_nat(X4152)) = zero_zero_nat )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X4153),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X4153)),number_number_of_nat(X4152)) = number_number_of_nat(hAPP_int_int(times_times_int(X4153),X4152)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1487])]) ).
fof(i_0_2479,plain,
! [X4909,X4910] :
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4909),X4910))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4910),X4909)) ),
inference(variable_rename,[status(thm)],[fact_881_real__le__linear]) ).
fof(i_0_2480,plain,
! [X5035,X5036] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5035),X5036))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5036),X5035)) ),
inference(variable_rename,[status(thm)],[fact_938_nat__le__linear]) ).
fof(i_0_2481,plain,
! [X3152,X3153] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3152),X3153))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3153),X3152)) ),
inference(variable_rename,[status(thm)],[fact_36_zle__linear]) ).
fof(i_0_2482,plain,
! [X4586,X4587] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4586),hAPP_real_real(times_times_real(X4586),X4587))),
inference(variable_rename,[status(thm)],[fact_750_dvd__triv__left]) ).
fof(i_0_2483,plain,
! [X4580,X4581] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4580),hAPP_real_real(times_times_real(X4581),X4580))),
inference(variable_rename,[status(thm)],[fact_747_dvd__triv__right]) ).
fof(i_0_2484,plain,
! [X4588,X4589] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4588),hAPP_nat_nat(times_times_nat(X4588),X4589))),
inference(variable_rename,[status(thm)],[fact_751_dvd__triv__left]) ).
fof(i_0_2485,plain,
! [X4582,X4583] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4582),hAPP_nat_nat(times_times_nat(X4583),X4582))),
inference(variable_rename,[status(thm)],[fact_748_dvd__triv__right]) ).
fof(i_0_2486,plain,
! [X5248] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5248),hAPP_nat_nat(times_times_nat(X5248),X5248))),
inference(variable_rename,[status(thm)],[fact_1024_le__square]) ).
fof(i_0_2487,plain,
! [X5166,X5167] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5166),hAPP_nat_nat(plus_plus_nat(X5166),X5167))),
inference(variable_rename,[status(thm)],[fact_996_le__add1]) ).
fof(i_0_2488,plain,
! [X5164,X5165] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5164),hAPP_nat_nat(plus_plus_nat(X5165),X5164))),
inference(variable_rename,[status(thm)],[fact_995_le__add2]) ).
fof(i_0_2489,plain,
! [X4590,X4591] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4590),hAPP_int_int(times_times_int(X4590),X4591))),
inference(variable_rename,[status(thm)],[fact_752_dvd__triv__left]) ).
fof(i_0_2490,plain,
! [X4584,X4585] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4584),hAPP_int_int(times_times_int(X4585),X4584))),
inference(variable_rename,[status(thm)],[fact_749_dvd__triv__right]) ).
fof(i_0_2491,plain,
! [X4465,X4466] :
( ( X4466 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4465),X4466) = one_one_nat )
& ( X4466 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4465),X4466) = hAPP_nat_nat(times_times_nat(X4465),hAPP_nat_nat(power_power_nat(X4465),hAPP_nat_nat(minus_minus_nat(X4466),one_one_nat))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_696_power__eq__if])]) ).
fof(i_0_2492,plain,
! [X3584,X3585] : hAPP_real_real(plus_plus_real(X3584),hAPP_real_real(times_times_real(X3585),X3584)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X3585),one_one_real)),X3584),
inference(variable_rename,[status(thm)],[fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(i_0_2493,plain,
! [X3582,X3583] : hAPP_nat_nat(plus_plus_nat(X3582),hAPP_nat_nat(times_times_nat(X3583),X3582)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X3583),one_one_nat)),X3582),
inference(variable_rename,[status(thm)],[fact_230_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(i_0_2494,plain,
! [X3580,X3581] : hAPP_int_int(plus_plus_int(X3580),hAPP_int_int(times_times_int(X3581),X3580)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X3581),one_one_int)),X3580),
inference(variable_rename,[status(thm)],[fact_229_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(i_0_2495,plain,
! [X4744] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X4744),X4744))),
inference(variable_rename,[status(thm)],[fact_812_zero__le__square]) ).
fof(i_0_2496,plain,
! [X4745] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X4745),X4745))),
inference(variable_rename,[status(thm)],[fact_813_zero__le__square]) ).
fof(i_0_2497,plain,
! [X5580,X5581,X5582] :
( hAPP_int_int(div_mod_int(X5580),X5581) != hAPP_int_int(div_mod_int(X5582),X5581)
| hBOOL(hAPP_int_bool(zcong(X5580,X5582),X5581)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1143_Residues_Oaux])]) ).
fof(i_0_2498,plain,
! [X5520,X5521] :
( ~ hBOOL(member_int(X5520,d22set(X5521)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5520),X5521)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1112_d22set__le])]) ).
cnf(i_0_2499,plain,
( min = X1
| min != bit1(X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1488]) ).
cnf(i_0_2500,plain,
( X1 = min
| bit1(X1) != min
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1489]) ).
fof(i_0_2501,plain,
! [X4163,X4164] :
( ( ~ hBOOL(hAPP_int_bool(zcong(X4163,X4164),zero_zero_int))
| X4163 = X4164
| ~ is_int(X4163)
| ~ is_int(X4164) )
& ( X4163 != X4164
| hBOOL(hAPP_int_bool(zcong(X4163,X4164),zero_zero_int))
| ~ is_int(X4163)
| ~ is_int(X4164) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_573_IntPrimes_Ozcong__zero])])]) ).
fof(i_0_2502,plain,
! [X5694,X5695] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5694),X5695))
| hAPP_nat_nat(div_mod_nat(X5694),X5695) = X5694 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1187_mod__less])]) ).
fof(i_0_2503,plain,
! [X5096,X5097] :
( ( hAPP_nat_nat(minus_minus_nat(X5096),X5097) != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5096),X5097)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5096),X5097))
| hAPP_nat_nat(minus_minus_nat(X5096),X5097) = zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_968_diff__is__0__eq])]) ).
fof(i_0_2504,plain,
! [X5094,X5095] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5094),X5095))
| hAPP_nat_nat(minus_minus_nat(X5094),X5095) = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_967_diff__is__0__eq_H])]) ).
cnf(i_0_2505,plain,
( standardRes(X2,X1) = zero_zero_int
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1490]) ).
cnf(i_0_2506,plain,
( standardRes(X1,X2) = zero_zero_int
| ~ hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1491]) ).
fof(i_0_2507,plain,
! [X5524,X5525] :
( ~ hBOOL(member_int(X5524,d22set(X5525)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X5524)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1114_d22set__g__1])]) ).
fof(i_0_2508,plain,
! [X5135,X5136] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5135),X5136))
| hAPP_nat_nat(plus_plus_nat(X5136),hAPP_nat_nat(minus_minus_nat(X5135),X5136)) = X5135 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1492])]) ).
cnf(i_0_2509,plain,
bit1(X1) != pls,
inference(split_conjunct,[status(thm)],[i_0_1493]) ).
fof(i_0_2510,plain,
! [X3882] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X3882)),X3882) != zero_zero_int,
inference(variable_rename,[status(thm)],[fact_405_odd__nonzero]) ).
cnf(i_0_2511,plain,
pls != bit1(X1),
inference(split_conjunct,[status(thm)],[i_0_1494]) ).
cnf(i_0_2512,plain,
hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),number267125858f_real(X1)) = number267125858f_real(bit0(X1)),
inference(split_conjunct,[status(thm)],[i_0_1495]) ).
cnf(i_0_2513,plain,
hAPP_int_int(times_times_int(hAPP_int_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_1496]) ).
fof(i_0_2514,plain,
! [X5729,X5730] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X5729),X5730))
| hBOOL(X5729) ),
inference(variable_rename,[status(thm)],[i_0_1497]) ).
fof(i_0_2515,plain,
! [X5731,X5732] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X5731),X5732))
| hBOOL(X5732) ),
inference(variable_rename,[status(thm)],[i_0_1498]) ).
fof(i_0_2516,plain,
! [X4926,X4927] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4926),X4927))
| X4927 != X4926 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_890_less__not__refl2])]) ).
fof(i_0_2517,plain,
! [X4924,X4925] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4924),X4925))
| X4924 != X4925 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_889_less__not__refl3])]) ).
fof(i_0_2518,plain,
! [X5075,X5076] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5075),X5076))
| X5076 != zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_954_gr__implies__not0])]) ).
fof(i_0_2519,plain,
! [X4933] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4933),X4933)),
inference(variable_rename,[status(thm)],[i_0_1499]) ).
fof(i_0_2520,plain,
! [X4928] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4928),X4928)),
inference(variable_rename,[status(thm)],[i_0_1500]) ).
fof(i_0_2521,plain,
! [X4138] :
( ( number_number_of_nat(X4138) != zero_zero_nat
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4138),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4138),pls))
| number_number_of_nat(X4138) = zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_560_eq__number__of__0])]) ).
fof(i_0_2522,plain,
! [X4139] :
( ( zero_zero_nat != number_number_of_nat(X4139)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4139),pls)) )
& ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4139),pls))
| zero_zero_nat = number_number_of_nat(X4139) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_561_eq__0__number__of])]) ).
fof(i_0_2523,plain,
! [X4514] :
( ~ is_int(X4514)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,zero_zero_int),X4514))
| X4514 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_726_dvd__0__left])]) ).
fof(i_0_2524,plain,
! [X3325,X3326,X3327] : hAPP_real_real(times_times_real(X3325),hAPP_real_real(times_times_real(X3326),X3327)) = hAPP_real_real(times_times_real(X3326),hAPP_real_real(times_times_real(X3325),X3327)),
inference(variable_rename,[status(thm)],[fact_111_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(i_0_2525,plain,
! [X3382,X3383,X3384] : hAPP_real_real(plus_plus_real(X3382),hAPP_real_real(plus_plus_real(X3383),X3384)) = hAPP_real_real(plus_plus_real(X3383),hAPP_real_real(plus_plus_real(X3382),X3384)),
inference(variable_rename,[status(thm)],[fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J]) ).
fof(i_0_2526,plain,
! [X3322,X3323,X3324] : hAPP_nat_nat(times_times_nat(X3322),hAPP_nat_nat(times_times_nat(X3323),X3324)) = hAPP_nat_nat(times_times_nat(X3323),hAPP_nat_nat(times_times_nat(X3322),X3324)),
inference(variable_rename,[status(thm)],[fact_110_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(i_0_2527,plain,
! [X5009,X5010,X5011] : hAPP_nat_nat(plus_plus_nat(X5009),hAPP_nat_nat(plus_plus_nat(X5010),X5011)) = hAPP_nat_nat(plus_plus_nat(X5010),hAPP_nat_nat(plus_plus_nat(X5009),X5011)),
inference(variable_rename,[status(thm)],[fact_928_nat__add__left__commute]) ).
fof(i_0_2528,plain,
! [X3379,X3380,X3381] : hAPP_nat_nat(plus_plus_nat(X3379),hAPP_nat_nat(plus_plus_nat(X3380),X3381)) = hAPP_nat_nat(plus_plus_nat(X3380),hAPP_nat_nat(plus_plus_nat(X3379),X3381)),
inference(variable_rename,[status(thm)],[fact_130_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J]) ).
fof(i_0_2529,plain,
! [X3319,X3320,X3321] : hAPP_int_int(times_times_int(X3319),hAPP_int_int(times_times_int(X3320),X3321)) = hAPP_int_int(times_times_int(X3320),hAPP_int_int(times_times_int(X3319),X3321)),
inference(variable_rename,[status(thm)],[fact_109_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(i_0_2530,plain,
! [X3414,X3415,X3416] : hAPP_int_int(plus_plus_int(X3414),hAPP_int_int(plus_plus_int(X3415),X3416)) = hAPP_int_int(plus_plus_int(X3415),hAPP_int_int(plus_plus_int(X3414),X3416)),
inference(variable_rename,[status(thm)],[fact_146_zadd__left__commute]) ).
fof(i_0_2531,plain,
! [X3376,X3377,X3378] : hAPP_int_int(plus_plus_int(X3376),hAPP_int_int(plus_plus_int(X3377),X3378)) = hAPP_int_int(plus_plus_int(X3377),hAPP_int_int(plus_plus_int(X3376),X3378)),
inference(variable_rename,[status(thm)],[fact_129_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J]) ).
fof(i_0_2532,plain,
! [X5092] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5092),zero_zero_nat))
| X5092 = zero_zero_nat )
& ( X5092 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5092),zero_zero_nat)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_965_le__0__eq])]) ).
fof(i_0_2533,plain,
! [X5543] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5543),one_one_nat))
| X5543 = one_one_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1127_gcd__lcm__complete__lattice__nat_Ole__bot])]) ).
fof(i_0_2534,plain,
! [X5542] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5542),one_one_nat))
| X5542 = one_one_nat )
& ( X5542 != one_one_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5542),one_one_nat)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1126_gcd__lcm__complete__lattice__nat_Obot__unique])]) ).
fof(i_0_2535,plain,
! [X5541] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X5541))
| X5541 = one_one_nat )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5541),one_one_nat))
| X5541 = one_one_nat )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X5541))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5541),one_one_nat))
| X5541 != one_one_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1501])])]) ).
fof(i_0_2536,plain,
! [X5236] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5236),one_one_nat))
| X5236 = one_one_nat )
& ( X5236 != one_one_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5236),one_one_nat)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1019_nat__dvd__1__iff__1])]) ).
fof(i_0_2537,plain,
! [X5079] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5079),zero_zero_nat)),
inference(variable_rename,[status(thm)],[i_0_1502]) ).
fof(i_0_2538,plain,
! [X5077] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5077),zero_zero_nat)),
inference(variable_rename,[status(thm)],[i_0_1503]) ).
fof(i_0_2539,plain,
! [X4904] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4904),zero_zero_nat)),
inference(variable_rename,[status(thm)],[i_0_1504]) ).
fof(i_0_2540,plain,
! [X5078] :
( ( X5078 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5078)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5078))
| X5078 != zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_956_neq0__conv])]) ).
fof(i_0_2541,plain,
! [X4512] :
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),X4512))
| X4512 = zero_zero_real ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_724_dvd__0__left])]) ).
fof(i_0_2542,plain,
! [X5536] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5536),zero_zero_nat))
| X5536 = zero_zero_nat )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5536))
| X5536 = zero_zero_nat )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5536),zero_zero_nat))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5536))
| X5536 != zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1505])])]) ).
fof(i_0_2543,plain,
! [X5535] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5535))
| X5535 = zero_zero_nat )
& ( X5535 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5535)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1119_gcd__lcm__complete__lattice__nat_Otop__unique])]) ).
fof(i_0_2544,plain,
! [X5534] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X5534))
| X5534 = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1118_gcd__lcm__complete__lattice__nat_Otop__le])]) ).
fof(i_0_2545,plain,
! [X4513] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X4513))
| X4513 = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_725_dvd__0__left])]) ).
fof(i_0_2546,plain,
! [X4541,X4542,X4543] :
( X4541 != hAPP_real_real(times_times_real(X4542),X4543)
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4542),X4541)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_735_dvdI])]) ).
fof(i_0_2547,plain,
! [X4544,X4545,X4546] :
( X4544 != hAPP_nat_nat(times_times_nat(X4545),X4546)
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4545),X4544)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_736_dvdI])]) ).
fof(i_0_2548,plain,
! [X4547,X4548,X4549] :
( X4547 != hAPP_int_int(times_times_int(X4548),X4549)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4548),X4547)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_737_dvdI])]) ).
cnf(i_0_2549,plain,
( hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| standardRes(X2,X1) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_1491]) ).
cnf(i_0_2550,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| standardRes(X1,X2) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_1490]) ).
fof(i_0_2551,plain,
! [X5369,X5372,X5373] :
( ( is_int(esk18_1(X5369))
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X5369))
| ~ is_int(X5369) )
& ( is_int(esk19_1(X5369))
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X5369))
| ~ is_int(X5369) )
& ( twoSqu1241645765sum2sq(product_Pair_int_int(esk18_1(X5369),esk19_1(X5369))) = X5369
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X5369))
| ~ is_int(X5369) )
& ( ~ is_int(X5372)
| ~ is_int(X5373)
| twoSqu1241645765sum2sq(product_Pair_int_int(X5372,X5373)) != X5369
| hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X5369))
| ~ is_int(X5369) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1060_is__sum2sq__def])])])])]) ).
fof(i_0_2552,plain,
! [X5736,X5737,X5738] : hAPP_int_bool(cOMBS_int_bool_bool(X5736,X5737),X5738) = hAPP_bool_bool(hAPP_i68813070l_bool(X5736,X5738),hAPP_int_bool(X5737,X5738)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Int__Oint_000tc__HOL__Obool_000tc__HOL__Obool_U]) ).
fof(i_0_2553,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
inference(fof_simplification,[status(thm)],[fact_67_rel__simps_I2_J]) ).
fof(i_0_2554,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)),
inference(fof_simplification,[status(thm)],[fact_530_rel__simps_I3_J]) ).
fof(i_0_2555,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)),
inference(fof_simplification,[status(thm)],[fact_399_bin__less__0__simps_I1_J]) ).
fof(i_0_2556,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)),
inference(fof_simplification,[status(thm)],[fact_525_rel__simps_I7_J]) ).
fof(i_0_2557,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min)),
inference(fof_simplification,[status(thm)],[fact_536_rel__simps_I20_J]) ).
fof(i_0_2558,plain,
! [X3588] : hAPP_real_real(plus_plus_real(X3588),X3588) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),X3588),
inference(variable_rename,[status(thm)],[fact_234_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(i_0_2559,plain,
! [X3587] : hAPP_nat_nat(plus_plus_nat(X3587),X3587) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)),X3587),
inference(variable_rename,[status(thm)],[fact_233_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(i_0_2560,plain,
! [X3586] : hAPP_int_int(plus_plus_int(X3586),X3586) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),X3586),
inference(variable_rename,[status(thm)],[fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(i_0_2561,plain,
! [X5023,X5024] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5023),X5024)),X5023) = X5024,
inference(variable_rename,[status(thm)],[fact_933_diff__add__inverse]) ).
fof(i_0_2562,plain,
! [X5021,X5022] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5021),X5022)),X5022) = X5021,
inference(variable_rename,[status(thm)],[fact_932_diff__add__inverse2]) ).
cnf(i_0_2563,plain,
( bit1(X1) = min
| X1 != min
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1489]) ).
cnf(i_0_2564,plain,
( min = bit1(X1)
| min != X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1488]) ).
fof(i_0_2565,plain,
! [X5727,X5728] :
( ~ hBOOL(X5728)
| ~ hBOOL(X5727)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X5728),X5727)) ),
inference(variable_rename,[status(thm)],[i_0_1506]) ).
fof(i_0_2566,plain,
! [X5661,X5662] :
( ( is_int(esk34_2(X5661,X5662))
| hAPP_int_int(div_mod_int(X5661),X5662) != zero_zero_int
| ~ is_int(X5661) )
& ( X5661 = hAPP_int_int(times_times_int(X5662),esk34_2(X5661,X5662))
| hAPP_int_int(div_mod_int(X5661),X5662) != zero_zero_int
| ~ is_int(X5661) ) ),
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_1175_zmod__eq__0D])])])])])]) ).
fof(i_0_2567,plain,
! [X5572,X5573,X5575,X5576] :
( ( is_int(esk33_2(X5572,X5573))
| hAPP_int_int(div_mod_int(X5572),X5573) != zero_zero_int
| ~ is_int(X5572) )
& ( X5572 = hAPP_int_int(times_times_int(X5573),esk33_2(X5572,X5573))
| hAPP_int_int(div_mod_int(X5572),X5573) != zero_zero_int
| ~ is_int(X5572) )
& ( ~ is_int(X5576)
| X5572 != hAPP_int_int(times_times_int(X5575),X5576)
| hAPP_int_int(div_mod_int(X5572),X5575) = zero_zero_int
| ~ is_int(X5572) ) ),
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_1141_zmod__eq__0__iff])])])])])]) ).
fof(i_0_2568,plain,
! [X4143,X4144] : hBOOL(hAPP_int_bool(zcong(X4143,X4143),X4144)),
inference(variable_rename,[status(thm)],[fact_563_zcong__refl]) ).
fof(i_0_2569,plain,
! [X3601,X3602] : hAPP_real_real(times_times_real(number267125858f_real(X3601)),number267125858f_real(X3602)) = number267125858f_real(hAPP_int_int(times_times_int(X3601),X3602)),
inference(variable_rename,[status(thm)],[fact_242_arith__simps_I32_J]) ).
fof(i_0_2570,plain,
! [X3615,X3616] : hAPP_real_real(plus_plus_real(number267125858f_real(X3615)),number267125858f_real(X3616)) = number267125858f_real(hAPP_int_int(plus_plus_int(X3615),X3616)),
inference(variable_rename,[status(thm)],[fact_248_add__number__of__eq]) ).
fof(i_0_2571,plain,
! [X3599,X3600] : hAPP_int_int(times_times_int(number_number_of_int(X3599)),number_number_of_int(X3600)) = number_number_of_int(hAPP_int_int(times_times_int(X3599),X3600)),
inference(variable_rename,[status(thm)],[fact_241_arith__simps_I32_J]) ).
fof(i_0_2572,plain,
! [X3533,X3534] : hAPP_int_int(times_times_int(number_number_of_int(X3533)),number_number_of_int(X3534)) = number_number_of_int(hAPP_int_int(times_times_int(X3533),X3534)),
inference(variable_rename,[status(thm)],[fact_209_times__numeral__code_I5_J]) ).
fof(i_0_2573,plain,
! [X3613,X3614] : hAPP_int_int(plus_plus_int(number_number_of_int(X3613)),number_number_of_int(X3614)) = number_number_of_int(hAPP_int_int(plus_plus_int(X3613),X3614)),
inference(variable_rename,[status(thm)],[fact_247_add__number__of__eq]) ).
fof(i_0_2574,plain,
! [X3541,X3542] : hAPP_int_int(plus_plus_int(number_number_of_int(X3541)),number_number_of_int(X3542)) = number_number_of_int(hAPP_int_int(plus_plus_int(X3541),X3542)),
inference(variable_rename,[status(thm)],[fact_212_plus__numeral__code_I9_J]) ).
fof(i_0_2575,plain,
! [X4259,X4260] : number267125858f_real(hAPP_int_int(minus_minus_int(X4259),X4260)) = hAPP_real_real(minus_minus_real(number267125858f_real(X4259)),number267125858f_real(X4260)),
inference(variable_rename,[status(thm)],[fact_612_number__of__diff]) ).
fof(i_0_2576,plain,
! [X3605,X3606] : number267125858f_real(hAPP_int_int(times_times_int(X3605),X3606)) = hAPP_real_real(times_times_real(number267125858f_real(X3605)),number267125858f_real(X3606)),
inference(variable_rename,[status(thm)],[fact_244_number__of__mult]) ).
fof(i_0_2577,plain,
! [X3619,X3620] : number267125858f_real(hAPP_int_int(plus_plus_int(X3619),X3620)) = hAPP_real_real(plus_plus_real(number267125858f_real(X3619)),number267125858f_real(X3620)),
inference(variable_rename,[status(thm)],[fact_250_number__of__add]) ).
fof(i_0_2578,plain,
! [X4261,X4262] : number_number_of_int(hAPP_int_int(minus_minus_int(X4261),X4262)) = hAPP_int_int(minus_minus_int(number_number_of_int(X4261)),number_number_of_int(X4262)),
inference(variable_rename,[status(thm)],[fact_613_number__of__diff]) ).
fof(i_0_2579,plain,
! [X3603,X3604] : number_number_of_int(hAPP_int_int(times_times_int(X3603),X3604)) = hAPP_int_int(times_times_int(number_number_of_int(X3603)),number_number_of_int(X3604)),
inference(variable_rename,[status(thm)],[fact_243_number__of__mult]) ).
fof(i_0_2580,plain,
! [X3617,X3618] : number_number_of_int(hAPP_int_int(plus_plus_int(X3617),X3618)) = hAPP_int_int(plus_plus_int(number_number_of_int(X3617)),number_number_of_int(X3618)),
inference(variable_rename,[status(thm)],[fact_249_number__of__add]) ).
cnf(i_0_2581,plain,
( X1 = X2
| bit0(X1) != bit0(X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1507]) ).
fof(i_0_2582,plain,
! [X5733,X5734,X5735] : hAPP_int_bool(cOMBC_int_int_bool(X5733,X5734),X5735) = hAPP_int_bool(hAPP_i1948725293t_bool(X5733,X5735),X5734),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U]) ).
fof(i_0_2583,plain,
! [X5739,X5740,X5741] : hAPP_i68813070l_bool(cOMBB_1652995168ol_int(X5739,X5740),X5741) = hAPP_b589554111l_bool(X5739,hAPP_int_bool(X5740,X5741)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo]) ).
fof(i_0_2584,plain,
! [X4993,X4994] :
( X4993 != X4994
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4993),X4994)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_919_dvd_Oeq__refl])]) ).
fof(i_0_2585,plain,
! [X5037,X5038] :
( X5037 != X5038
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5037),X5038)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_939_eq__imp__le])]) ).
fof(i_0_2586,plain,
! [X5671,X5672,X5674,X5675,X5676] :
( ( hAPP_nat_nat(div_mod_nat(X5671),X5672) != zero_zero_nat
| X5671 = hAPP_nat_nat(times_times_nat(X5672),esk35_2(X5671,X5672)) )
& ( X5674 != hAPP_nat_nat(times_times_nat(X5675),X5676)
| hAPP_nat_nat(div_mod_nat(X5674),X5675) = zero_zero_nat ) ),
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_1179_mod__eq__0__iff])])])])]) ).
fof(i_0_2587,plain,
! [X4165,X4166] : hBOOL(hAPP_int_bool(zcong(X4165,X4166),one_one_int)),
inference(variable_rename,[status(thm)],[fact_574_zcong__1]) ).
fof(i_0_2588,plain,
! [X3346,X3347] :
( ( ~ hBOOL(member_int(X3346,X3347))
| hBOOL(hAPP_int_bool(X3347,X3346)) )
& ( ~ hBOOL(hAPP_int_bool(X3347,X3346))
| hBOOL(member_int(X3346,X3347)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_118_mem__def])]) ).
cnf(i_0_2589,plain,
bit1(min) = min,
inference(split_conjunct,[status(thm)],[fact_520_Bit1__Min]) ).
fof(i_0_2590,plain,
! [X4430] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4430),X4430)),
inference(variable_rename,[status(thm)],[fact_678_dvd__refl]) ).
fof(i_0_2591,plain,
! [X4908] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X4908),X4908)),
inference(variable_rename,[status(thm)],[fact_880_real__le__refl]) ).
fof(i_0_2592,plain,
! [X4903] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4903),X4903)),
inference(variable_rename,[status(thm)],[fact_877_dvd_Oorder__refl]) ).
fof(i_0_2593,plain,
! [X4431] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4431),X4431)),
inference(variable_rename,[status(thm)],[fact_679_dvd__refl]) ).
fof(i_0_2594,plain,
! [X5034] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5034),X5034)),
inference(variable_rename,[status(thm)],[fact_937_le__refl]) ).
fof(i_0_2595,plain,
! [X4432] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4432),X4432)),
inference(variable_rename,[status(thm)],[fact_680_dvd__refl]) ).
fof(i_0_2596,plain,
! [X3151] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3151),X3151)),
inference(variable_rename,[status(thm)],[fact_35_zle__refl]) ).
fof(i_0_2597,plain,
! [X4339] : hBOOL(hAPP_int_bool(zcong(X4339,zero_zero_int),X4339)),
inference(variable_rename,[status(thm)],[fact_643_zcong__id]) ).
fof(i_0_2598,plain,
! [X4421] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X4421),zero_zero_real)),
inference(variable_rename,[status(thm)],[fact_672_dvd__0__right]) ).
fof(i_0_2599,plain,
! [X5537] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X5537),zero_zero_nat)),
inference(variable_rename,[status(thm)],[fact_1121_gcd__lcm__complete__lattice__nat_Otop__greatest]) ).
fof(i_0_2600,plain,
! [X4422] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X4422),zero_zero_nat)),
inference(variable_rename,[status(thm)],[fact_673_dvd__0__right]) ).
fof(i_0_2601,plain,
! [X4423] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X4423),zero_zero_int)),
inference(variable_rename,[status(thm)],[fact_674_dvd__0__right]) ).
fof(i_0_2602,plain,
! [X5074] :
( X5074 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X5074)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_953_gr0I])]) ).
fof(i_0_2603,plain,
! [X4601] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,one_one_real),X4601)),
inference(variable_rename,[status(thm)],[fact_756_one__dvd]) ).
fof(i_0_2604,plain,
! [X5540] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X5540)),
inference(variable_rename,[status(thm)],[fact_1124_gcd__lcm__complete__lattice__nat_Obot__least]) ).
fof(i_0_2605,plain,
! [X4602] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X4602)),
inference(variable_rename,[status(thm)],[fact_757_one__dvd]) ).
fof(i_0_2606,plain,
! [X5093] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X5093)),
inference(variable_rename,[status(thm)],[fact_966_less__eq__nat_Osimps_I1_J]) ).
fof(i_0_2607,plain,
! [X4902] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X4902)),
inference(variable_rename,[status(thm)],[fact_876_le0]) ).
fof(i_0_2608,plain,
! [X4603] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),X4603)),
inference(variable_rename,[status(thm)],[fact_758_one__dvd]) ).
fof(i_0_2609,plain,
! [X4610,X4611,X4612] :
( ( hAPP_real_real(times_times_real(X4610),X4612) != hAPP_real_real(times_times_real(X4611),X4612)
| X4610 = X4611
| X4612 = zero_zero_real )
& ( X4610 != X4611
| hAPP_real_real(times_times_real(X4610),X4612) = hAPP_real_real(times_times_real(X4611),X4612)
| X4612 = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_761_real__mult__right__cancel])])]) ).
fof(i_0_2610,plain,
! [X5105,X5106,X5107] :
( ( hAPP_nat_nat(times_times_nat(X5105),X5106) != hAPP_nat_nat(times_times_nat(X5107),X5106)
| X5105 = X5107
| X5106 = zero_zero_nat )
& ( X5105 != X5107
| hAPP_nat_nat(times_times_nat(X5105),X5106) = hAPP_nat_nat(times_times_nat(X5107),X5106) )
& ( X5106 != zero_zero_nat
| hAPP_nat_nat(times_times_nat(X5105),X5106) = hAPP_nat_nat(times_times_nat(X5107),X5106) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_973_mult__cancel2])])]) ).
fof(i_0_2611,plain,
! [X4613,X4614,X4615] :
( ( hAPP_real_real(times_times_real(X4615),X4613) != hAPP_real_real(times_times_real(X4615),X4614)
| X4613 = X4614
| X4615 = zero_zero_real )
& ( X4613 != X4614
| hAPP_real_real(times_times_real(X4615),X4613) = hAPP_real_real(times_times_real(X4615),X4614)
| X4615 = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_762_real__mult__left__cancel])])]) ).
fof(i_0_2612,plain,
! [X5311,X5312,X5313] :
( ( hAPP_nat_nat(times_times_nat(X5311),X5312) != hAPP_nat_nat(times_times_nat(X5311),X5313)
| X5311 = zero_zero_nat
| X5312 = X5313 )
& ( X5311 != zero_zero_nat
| hAPP_nat_nat(times_times_nat(X5311),X5312) = hAPP_nat_nat(times_times_nat(X5311),X5313) )
& ( X5312 != X5313
| hAPP_nat_nat(times_times_nat(X5311),X5312) = hAPP_nat_nat(times_times_nat(X5311),X5313) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1045_nat__mult__eq__cancel__disj])])]) ).
fof(i_0_2613,plain,
! [X5102,X5103,X5104] :
( ( hAPP_nat_nat(times_times_nat(X5102),X5103) != hAPP_nat_nat(times_times_nat(X5102),X5104)
| X5103 = X5104
| X5102 = zero_zero_nat )
& ( X5103 != X5104
| hAPP_nat_nat(times_times_nat(X5102),X5103) = hAPP_nat_nat(times_times_nat(X5102),X5104) )
& ( X5102 != zero_zero_nat
| hAPP_nat_nat(times_times_nat(X5102),X5103) = hAPP_nat_nat(times_times_nat(X5102),X5104) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_972_mult__cancel1])])]) ).
fof(i_0_2614,plain,
! [X4919,X4920] :
( hAPP_nat_nat(minus_minus_nat(X4919),X4920) != zero_zero_nat
| hAPP_nat_nat(minus_minus_nat(X4920),X4919) != zero_zero_nat
| X4919 = X4920 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_887_diffs0__imp__equal])]) ).
fof(i_0_2615,plain,
! [X5018,X5019,X5020] :
( ( hAPP_nat_nat(plus_plus_nat(X5018),X5019) != hAPP_nat_nat(plus_plus_nat(X5020),X5019)
| X5018 = X5020 )
& ( X5018 != X5020
| hAPP_nat_nat(plus_plus_nat(X5018),X5019) = hAPP_nat_nat(plus_plus_nat(X5020),X5019) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_931_nat__add__right__cancel])]) ).
fof(i_0_2616,plain,
! [X5015,X5016,X5017] :
( ( hAPP_nat_nat(plus_plus_nat(X5015),X5016) != hAPP_nat_nat(plus_plus_nat(X5015),X5017)
| X5016 = X5017 )
& ( X5016 != X5017
| hAPP_nat_nat(plus_plus_nat(X5015),X5016) = hAPP_nat_nat(plus_plus_nat(X5015),X5017) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_930_nat__add__left__cancel])]) ).
fof(i_0_2617,plain,
! [X4256,X4257,X4258] :
( ~ is_int(X4256)
| hAPP_int_int(minus_minus_int(X4256),X4257) != X4258
| X4256 = hAPP_int_int(plus_plus_int(X4258),X4257) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_611_Int2_Oaux1])]) ).
fof(i_0_2618,plain,
! [X5090,X5091] : hAPP_nat_nat(minus_minus_nat(X5090),hAPP_nat_nat(plus_plus_nat(X5090),X5091)) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_964_diff__add__0]) ).
cnf(i_0_2619,plain,
( is_int(standardRes(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1508]) ).
fof(i_0_2620,plain,
! [X4194,X4195] :
( ( X4194 = zero_zero_int
| hAPP_nat_int(power_power_int(X4194),number_number_of_nat(X4195)) != zero_zero_int
| ~ is_int(X4194) )
& ( number_number_of_nat(X4195) != zero_zero_nat
| hAPP_nat_int(power_power_int(X4194),number_number_of_nat(X4195)) != zero_zero_int
| ~ is_int(X4194) )
& ( X4194 != zero_zero_int
| number_number_of_nat(X4195) = zero_zero_nat
| hAPP_nat_int(power_power_int(X4194),number_number_of_nat(X4195)) = zero_zero_int
| ~ is_int(X4194) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_584_power__eq__0__iff__number__of])])]) ).
fof(i_0_2621,plain,
! [X4385] :
( hAPP_nat_int(power_power_int(number_number_of_int(min)),X4385) = one_one_int
| hAPP_nat_int(power_power_int(number_number_of_int(min)),X4385) = number_number_of_int(min) ),
inference(variable_rename,[status(thm)],[fact_660_neg__one__power]) ).
fof(i_0_2622,plain,
! [X4123,X4124] :
( ( X4123 = number_number_of_int(min)
| X4123 = one_one_int
| hAPP_int_int(times_times_int(X4123),X4124) != one_one_int
| ~ is_int(X4123)
| ~ is_int(X4124) )
& ( X4124 = number_number_of_int(min)
| X4123 = one_one_int
| hAPP_int_int(times_times_int(X4123),X4124) != one_one_int
| ~ is_int(X4123)
| ~ is_int(X4124) )
& ( X4123 = number_number_of_int(min)
| X4124 = one_one_int
| hAPP_int_int(times_times_int(X4123),X4124) != one_one_int
| ~ is_int(X4123)
| ~ is_int(X4124) )
& ( X4124 = number_number_of_int(min)
| X4124 = one_one_int
| hAPP_int_int(times_times_int(X4123),X4124) != one_one_int
| ~ is_int(X4123)
| ~ is_int(X4124) )
& ( X4123 != one_one_int
| X4124 != one_one_int
| hAPP_int_int(times_times_int(X4123),X4124) = one_one_int
| ~ is_int(X4123)
| ~ is_int(X4124) )
& ( X4123 != number_number_of_int(min)
| X4124 != number_number_of_int(min)
| hAPP_int_int(times_times_int(X4123),X4124) = one_one_int
| ~ is_int(X4123)
| ~ is_int(X4124) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_552_zmult__eq__1__iff])])]) ).
cnf(i_0_2623,hypothesis,
( is_int(bit0(X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1509]) ).
fof(i_0_2624,plain,
! [X4483,X4484] :
( ( hAPP_int_int(times_times_int(X4483),X4484) != zero_zero_int
| X4483 = zero_zero_int
| X4484 = zero_zero_int
| ~ is_int(X4483)
| ~ is_int(X4484) )
& ( X4483 != zero_zero_int
| hAPP_int_int(times_times_int(X4483),X4484) = zero_zero_int
| ~ is_int(X4483)
| ~ is_int(X4484) )
& ( X4484 != zero_zero_int
| hAPP_int_int(times_times_int(X4483),X4484) = zero_zero_int
| ~ is_int(X4483)
| ~ is_int(X4484) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_705_mult__eq__0__iff])])]) ).
fof(i_0_2625,plain,
! [X4473,X4474] :
( ~ is_int(X4473)
| ~ is_int(X4474)
| hAPP_int_int(times_times_int(X4473),X4474) != zero_zero_int
| X4473 = zero_zero_int
| X4474 = zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_700_divisors__zero])]) ).
fof(i_0_2626,plain,
! [X4479,X4480] :
( ~ is_int(X4479)
| ~ is_int(X4480)
| X4480 = zero_zero_int
| X4479 = zero_zero_int
| hAPP_int_int(times_times_int(X4480),X4479) != zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_703_no__zero__divisors])]) ).
fof(i_0_2627,plain,
! [X3781,X3782] :
( ( X3781 != hAPP_int_int(plus_plus_int(X3781),X3782)
| X3782 = zero_zero_int
| ~ is_int(X3781)
| ~ is_int(X3782) )
& ( X3782 != zero_zero_int
| X3781 = hAPP_int_int(plus_plus_int(X3781),X3782)
| ~ is_int(X3781)
| ~ is_int(X3782) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_353_add__0__iff])])]) ).
fof(i_0_2628,plain,
! [X4190,X4191] :
( ( X4190 = zero_zero_real
| hAPP_nat_real(power_power_real(X4190),number_number_of_nat(X4191)) != zero_zero_real )
& ( number_number_of_nat(X4191) != zero_zero_nat
| hAPP_nat_real(power_power_real(X4190),number_number_of_nat(X4191)) != zero_zero_real )
& ( X4190 != zero_zero_real
| number_number_of_nat(X4191) = zero_zero_nat
| hAPP_nat_real(power_power_real(X4190),number_number_of_nat(X4191)) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_582_power__eq__0__iff__number__of])])]) ).
fof(i_0_2629,plain,
! [X4192,X4193] :
( ( X4192 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4192),number_number_of_nat(X4193)) != zero_zero_nat )
& ( number_number_of_nat(X4193) != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4192),number_number_of_nat(X4193)) != zero_zero_nat )
& ( X4192 != zero_zero_nat
| number_number_of_nat(X4193) = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4192),number_number_of_nat(X4193)) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_583_power__eq__0__iff__number__of])])]) ).
fof(i_0_2630,plain,
! [X4121,X4122] :
( ~ is_int(X4121)
| hAPP_int_int(times_times_int(X4121),X4122) != one_one_int
| X4121 = one_one_int
| X4121 = number_number_of_int(min) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_551_pos__zmult__eq__1__iff__lemma])]) ).
fof(i_0_2631,plain,
! [X3100,X3101] :
( ~ is_int(X3100)
| ~ is_int(X3101)
| is_int(inv(X3100,X3101)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_WilsonRuss_Oinv])]) ).
fof(i_0_2632,plain,
! [X3095,X3096] :
( ~ is_int(X3095)
| ~ is_int(X3096)
| is_int(legendre(X3095,X3096)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Residues_OLegendre])]) ).
fof(i_0_2633,plain,
! [X3089,X3090] :
( ~ is_int(X3089)
| ~ is_int(X3090)
| is_int(multInv(X3089,X3090)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Int2_OMultInv])]) ).
fof(i_0_2634,plain,
! [X3687,X3688] :
( ( X3687 = zero_zero_int
| hAPP_nat_int(power_power_int(X3687),X3688) != zero_zero_int
| ~ is_int(X3687) )
& ( X3688 != zero_zero_nat
| hAPP_nat_int(power_power_int(X3687),X3688) != zero_zero_int
| ~ is_int(X3687) )
& ( X3687 != zero_zero_int
| X3688 = zero_zero_nat
| hAPP_nat_int(power_power_int(X3687),X3688) = zero_zero_int
| ~ is_int(X3687) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_311_power__eq__0__iff])])]) ).
cnf(i_0_2635,plain,
( pls = X1
| pls != bit0(X1)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1510]) ).
cnf(i_0_2636,plain,
( X1 = pls
| bit0(X1) != pls
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1511]) ).
fof(i_0_2637,plain,
! [X3751,X3752] :
( ~ is_int(X3752)
| X3752 = zero_zero_int
| hAPP_nat_int(power_power_int(X3752),X3751) != zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_332_field__power__not__zero])]) ).
fof(i_0_2638,plain,
! [X3787] :
( ( hAPP_int_int(plus_plus_int(X3787),X3787) != zero_zero_int
| X3787 = zero_zero_int
| ~ is_int(X3787) )
& ( X3787 != zero_zero_int
| hAPP_int_int(plus_plus_int(X3787),X3787) = zero_zero_int
| ~ is_int(X3787) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_356_double__eq__0__iff])])]) ).
fof(i_0_2639,plain,
! [X4451,X4452] : hAPP_real_real(times_times_real(X4451),X4452) = hAPP_real_real(times_times_real(X4452),X4451),
inference(variable_rename,[status(thm)],[fact_689_real__mult__commute]) ).
fof(i_0_2640,plain,
! [X3332,X3333] : hAPP_real_real(times_times_real(X3332),X3333) = hAPP_real_real(times_times_real(X3333),X3332),
inference(variable_rename,[status(thm)],[fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
fof(i_0_2641,plain,
! [X3389,X3390] : hAPP_real_real(plus_plus_real(X3389),X3390) = hAPP_real_real(plus_plus_real(X3390),X3389),
inference(variable_rename,[status(thm)],[fact_134_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
fof(i_0_2642,plain,
! [X5066,X5067] : hAPP_nat_nat(times_times_nat(X5066),X5067) = hAPP_nat_nat(times_times_nat(X5067),X5066),
inference(variable_rename,[status(thm)],[fact_950_nat__mult__commute]) ).
fof(i_0_2643,plain,
! [X3330,X3331] : hAPP_nat_nat(times_times_nat(X3330),X3331) = hAPP_nat_nat(times_times_nat(X3331),X3330),
inference(variable_rename,[status(thm)],[fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
fof(i_0_2644,plain,
! [X5007,X5008] : hAPP_nat_nat(plus_plus_nat(X5007),X5008) = hAPP_nat_nat(plus_plus_nat(X5008),X5007),
inference(variable_rename,[status(thm)],[fact_927_nat__add__commute]) ).
fof(i_0_2645,plain,
! [X3387,X3388] : hAPP_nat_nat(plus_plus_nat(X3387),X3388) = hAPP_nat_nat(plus_plus_nat(X3388),X3387),
inference(variable_rename,[status(thm)],[fact_133_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
fof(i_0_2646,plain,
! [X3408,X3409] : hAPP_int_int(times_times_int(X3408),X3409) = hAPP_int_int(times_times_int(X3409),X3408),
inference(variable_rename,[status(thm)],[fact_143_zmult__commute]) ).
fof(i_0_2647,plain,
! [X3328,X3329] : hAPP_int_int(times_times_int(X3328),X3329) = hAPP_int_int(times_times_int(X3329),X3328),
inference(variable_rename,[status(thm)],[fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
fof(i_0_2648,plain,
! [X3417,X3418] : hAPP_int_int(plus_plus_int(X3417),X3418) = hAPP_int_int(plus_plus_int(X3418),X3417),
inference(variable_rename,[status(thm)],[fact_147_zadd__commute]) ).
fof(i_0_2649,plain,
! [X3385,X3386] : hAPP_int_int(plus_plus_int(X3385),X3386) = hAPP_int_int(plus_plus_int(X3386),X3385),
inference(variable_rename,[status(thm)],[fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
fof(i_0_2650,plain,
! [X3114,X3115] :
( ~ is_int(X3114)
| is_bool(member_int(X3114,X3115)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_member_000tc__Int__Oint])]) ).
fof(i_0_2651,plain,
! [X3104,X3105] :
( ~ is_int(X3105)
| is_bool(hAPP_int_bool(X3104,X3105)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool])]) ).
fof(i_0_2652,plain,
! [X3102,X3103] :
( ~ is_bool(X3103)
| is_bool(hAPP_bool_bool(X3102,X3103)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool])]) ).
fof(i_0_2653,hypothesis,
! [X3106,X3107] :
( ~ is_int(X3107)
| is_int(hAPP_int_int(X3106,X3107)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint])]) ).
fof(i_0_2654,plain,
! [X5289,X5290] :
( X5289 != hAPP_nat_nat(times_times_nat(X5289),X5290)
| X5290 = one_one_nat
| X5289 = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1038_mult__eq__self__implies__10])]) ).
fof(i_0_2655,plain,
! [X4481,X4482] :
( ( hAPP_real_real(times_times_real(X4481),X4482) != zero_zero_real
| X4481 = zero_zero_real
| X4482 = zero_zero_real )
& ( X4481 != zero_zero_real
| hAPP_real_real(times_times_real(X4481),X4482) = zero_zero_real )
& ( X4482 != zero_zero_real
| hAPP_real_real(times_times_real(X4481),X4482) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_704_mult__eq__0__iff])])]) ).
fof(i_0_2656,plain,
! [X4475,X4476] :
( X4476 = zero_zero_real
| X4475 = zero_zero_real
| hAPP_real_real(times_times_real(X4476),X4475) != zero_zero_real ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_701_no__zero__divisors])]) ).
fof(i_0_2657,plain,
! [X4469,X4470] :
( hAPP_real_real(times_times_real(X4469),X4470) != zero_zero_real
| X4469 = zero_zero_real
| X4470 = zero_zero_real ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_698_divisors__zero])]) ).
fof(i_0_2658,plain,
! [X5100,X5101] :
( ( hAPP_nat_nat(times_times_nat(X5100),X5101) != zero_zero_nat
| X5100 = zero_zero_nat
| X5101 = zero_zero_nat )
& ( X5100 != zero_zero_nat
| hAPP_nat_nat(times_times_nat(X5100),X5101) = zero_zero_nat )
& ( X5101 != zero_zero_nat
| hAPP_nat_nat(times_times_nat(X5100),X5101) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_971_mult__is__0])])]) ).
fof(i_0_2659,plain,
! [X4477,X4478] :
( X4478 = zero_zero_nat
| X4477 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X4478),X4477) != zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_702_no__zero__divisors])]) ).
fof(i_0_2660,plain,
! [X4471,X4472] :
( hAPP_nat_nat(times_times_nat(X4471),X4472) != zero_zero_nat
| X4471 = zero_zero_nat
| X4472 = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_699_divisors__zero])]) ).
fof(i_0_2661,plain,
! [X4884,X4885] :
( ( hAPP_nat_nat(power_power_nat(X4884),X4885) != one_one_nat
| X4884 = one_one_nat
| X4885 = zero_zero_nat )
& ( X4884 != one_one_nat
| hAPP_nat_nat(power_power_nat(X4884),X4885) = one_one_nat )
& ( X4885 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4884),X4885) = one_one_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_869_exp__eq__1])])]) ).
fof(i_0_2662,plain,
! [X5084,X5085] :
( hAPP_nat_nat(plus_plus_nat(X5084),X5085) != X5084
| X5085 = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_960_add__eq__self__zero])]) ).
fof(i_0_2663,plain,
! [X3785,X3786] :
( ( X3785 != hAPP_real_real(plus_plus_real(X3785),X3786)
| X3786 = zero_zero_real )
& ( X3786 != zero_zero_real
| X3785 = hAPP_real_real(plus_plus_real(X3785),X3786) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_355_add__0__iff])]) ).
fof(i_0_2664,plain,
! [X3783,X3784] :
( ( X3783 != hAPP_nat_nat(plus_plus_nat(X3783),X3784)
| X3784 = zero_zero_nat )
& ( X3784 != zero_zero_nat
| X3783 = hAPP_nat_nat(plus_plus_nat(X3783),X3784) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_354_add__0__iff])]) ).
fof(i_0_2665,plain,
! [X3691,X3692] :
( ( X3691 = zero_zero_real
| hAPP_nat_real(power_power_real(X3691),X3692) != zero_zero_real )
& ( X3692 != zero_zero_nat
| hAPP_nat_real(power_power_real(X3691),X3692) != zero_zero_real )
& ( X3691 != zero_zero_real
| X3692 = zero_zero_nat
| hAPP_nat_real(power_power_real(X3691),X3692) = zero_zero_real ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_313_power__eq__0__iff])])]) ).
fof(i_0_2666,plain,
! [X4630,X4631] :
( ( X4631 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4630),X4631) != zero_zero_nat )
& ( X4630 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4630),X4631) != zero_zero_nat )
& ( X4631 = zero_zero_nat
| X4630 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X4630),X4631) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_768_nat__power__eq__0__iff])])]) ).
fof(i_0_2667,plain,
! [X3689,X3690] :
( ( X3689 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X3689),X3690) != zero_zero_nat )
& ( X3690 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X3689),X3690) != zero_zero_nat )
& ( X3689 != zero_zero_nat
| X3690 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X3689),X3690) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_312_power__eq__0__iff])])]) ).
fof(i_0_2668,plain,
! [X3589] :
( ~ is_int(X3589)
| hAPP_int_int(plus_plus_int(number_number_of_int(pls)),X3589) = X3589 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_235_add__numeral__0])]) ).
fof(i_0_2669,plain,
! [X3753,X3754] :
( X3754 = zero_zero_real
| hAPP_nat_real(power_power_real(X3754),X3753) != zero_zero_real ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_333_field__power__not__zero])]) ).
fof(i_0_2670,plain,
! [X3788] :
( ( hAPP_real_real(plus_plus_real(X3788),X3788) != zero_zero_real
| X3788 = zero_zero_real )
& ( X3788 != zero_zero_real
| hAPP_real_real(plus_plus_real(X3788),X3788) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_357_double__eq__0__iff])]) ).
fof(i_0_2671,plain,
! [X5086,X5087] :
( ( X5086 = zero_zero_nat
| hAPP_nat_nat(plus_plus_nat(X5086),X5087) != zero_zero_nat )
& ( X5087 = zero_zero_nat
| hAPP_nat_nat(plus_plus_nat(X5086),X5087) != zero_zero_nat )
& ( X5086 != zero_zero_nat
| X5087 != zero_zero_nat
| hAPP_nat_nat(plus_plus_nat(X5086),X5087) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_961_add__is__0])])]) ).
fof(i_0_2672,plain,
! [X5249,X5250] :
( ( X5249 = one_one_nat
| hAPP_nat_nat(times_times_nat(X5249),X5250) != one_one_nat )
& ( X5250 = one_one_nat
| hAPP_nat_nat(times_times_nat(X5249),X5250) != one_one_nat )
& ( X5249 != one_one_nat
| X5250 != one_one_nat
| hAPP_nat_nat(times_times_nat(X5249),X5250) = one_one_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1025_nat__mult__eq__1__iff])])]) ).
fof(i_0_2673,plain,
! [X4625,X4626] :
( ( X4625 = one_one_nat
| hAPP_nat_nat(times_times_nat(X4625),X4626) != one_one_nat )
& ( X4626 = one_one_nat
| hAPP_nat_nat(times_times_nat(X4625),X4626) != one_one_nat )
& ( X4625 != one_one_nat
| X4626 != one_one_nat
| hAPP_nat_nat(times_times_nat(X4625),X4626) = one_one_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_766_nat__mult__eq__one])])]) ).
fof(i_0_2674,plain,
! [X5252,X5253] :
( ( X5252 = one_one_nat
| one_one_nat != hAPP_nat_nat(times_times_nat(X5252),X5253) )
& ( X5253 = one_one_nat
| one_one_nat != hAPP_nat_nat(times_times_nat(X5252),X5253) )
& ( X5252 != one_one_nat
| X5253 != one_one_nat
| one_one_nat = hAPP_nat_nat(times_times_nat(X5252),X5253) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1027_nat__1__eq__mult__iff])])]) ).
cnf(i_0_2675,plain,
bit0(X1) != min,
inference(split_conjunct,[status(thm)],[i_0_1512]) ).
cnf(i_0_2676,plain,
min != bit0(X1),
inference(split_conjunct,[status(thm)],[i_0_1513]) ).
fof(i_0_2677,plain,
! [X3591] :
( ~ is_int(X3591)
| hAPP_int_int(plus_plus_int(X3591),number_number_of_int(pls)) = X3591 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_237_add__numeral__0__right])]) ).
fof(i_0_2678,plain,
! [X4211] :
( ( number_number_of_nat(X4211) != zero_zero_nat
| hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(X4211)) = one_one_real )
& ( number_number_of_nat(X4211) = zero_zero_nat
| hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(X4211)) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_591_power__0__left__number__of])]) ).
fof(i_0_2679,plain,
! [X4212] :
( ( number_number_of_nat(X4212) != zero_zero_nat
| hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(X4212)) = one_one_nat )
& ( number_number_of_nat(X4212) = zero_zero_nat
| hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(X4212)) = zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_592_power__0__left__number__of])]) ).
fof(i_0_2680,plain,
! [X4213] :
( ( number_number_of_nat(X4213) != zero_zero_nat
| hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(X4213)) = one_one_int )
& ( number_number_of_nat(X4213) = zero_zero_nat
| hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(X4213)) = zero_zero_int ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_593_power__0__left__number__of])]) ).
fof(i_0_2681,plain,
! [X3112,X3113] : is_bool(hAPP_real_bool(X3112,X3113)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__RealDef__Oreal_000tc__HOL__Obool]) ).
fof(i_0_2682,plain,
! [X3108,X3109] : is_bool(hAPP_nat_bool(X3108,X3109)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool]) ).
fof(i_0_2683,hypothesis,
! [X3110,X3111] : is_int(hAPP_nat_int(X3110,X3111)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint]) ).
cnf(i_0_2684,plain,
( bit0(X1) = pls
| X1 != pls
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1511]) ).
cnf(i_0_2685,plain,
( pls = bit0(X1)
| pls != X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1510]) ).
fof(i_0_2686,plain,
! [X3393,X3394] :
( ( number267125858f_real(X3393) != number267125858f_real(X3394)
| X3393 = X3394
| ~ is_int(X3393)
| ~ is_int(X3394) )
& ( X3393 != X3394
| number267125858f_real(X3393) = number267125858f_real(X3394)
| ~ is_int(X3393)
| ~ is_int(X3394) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_136_eq__number__of])])]) ).
fof(i_0_2687,plain,
! [X3391,X3392] :
( ( number_number_of_int(X3391) != number_number_of_int(X3392)
| X3391 = X3392
| ~ is_int(X3391)
| ~ is_int(X3392) )
& ( X3391 != X3392
| number_number_of_int(X3391) = number_number_of_int(X3392)
| ~ is_int(X3391)
| ~ is_int(X3392) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_135_eq__number__of])])]) ).
fof(i_0_2688,plain,
! [X3590] : hAPP_real_real(plus_plus_real(number267125858f_real(pls)),X3590) = X3590,
inference(variable_rename,[status(thm)],[fact_236_add__numeral__0]) ).
fof(i_0_2689,plain,
! [X3919] :
( ~ is_int(X3919)
| hAPP_nat_int(power_power_int(X3919),one_one_nat) = X3919 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_423_power__one__right])]) ).
fof(i_0_2690,plain,
! [X3172] :
( ~ is_int(X3172)
| hAPP_nat_int(power_power_int(X3172),one_one_nat) = X3172 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])]) ).
fof(i_0_2691,plain,
! [X4263] :
( ~ is_int(X4263)
| hAPP_int_int(minus_minus_int(X4263),pls) = X4263 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_614_diff__bin__simps_I1_J])]) ).
fof(i_0_2692,plain,
! [X3531] :
( ~ is_int(X3531)
| hAPP_int_int(times_times_int(X3531),one_one_int) = X3531 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_207_zmult__1__right])]) ).
fof(i_0_2693,plain,
! [X3500] :
( ~ is_int(X3500)
| hAPP_int_int(times_times_int(X3500),one_one_int) = X3500 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_185_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])]) ).
fof(i_0_2694,plain,
! [X3526] :
( ~ is_int(X3526)
| hAPP_int_int(plus_plus_int(X3526),pls) = X3526 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_203_add__Pls__right])]) ).
fof(i_0_2695,plain,
! [X3790] :
( ~ is_int(X3790)
| hAPP_int_int(plus_plus_int(X3790),zero_zero_int) = X3790 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_361_zadd__0__right])]) ).
fof(i_0_2696,plain,
! [X3778] :
( ~ is_int(X3778)
| hAPP_int_int(plus_plus_int(X3778),zero_zero_int) = X3778 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])]) ).
fof(i_0_2697,plain,
! [X3532] :
( ~ is_int(X3532)
| hAPP_int_int(times_times_int(one_one_int),X3532) = X3532 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_208_zmult__1])]) ).
fof(i_0_2698,plain,
! [X3503] :
( ~ is_int(X3503)
| hAPP_int_int(times_times_int(one_one_int),X3503) = X3503 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])]) ).
fof(i_0_2699,plain,
! [X3527] :
( ~ is_int(X3527)
| hAPP_int_int(plus_plus_int(pls),X3527) = X3527 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_204_add__Pls])]) ).
fof(i_0_2700,plain,
! [X3789] :
( ~ is_int(X3789)
| hAPP_int_int(plus_plus_int(zero_zero_int),X3789) = X3789 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_360_zadd__0])]) ).
fof(i_0_2701,plain,
! [X3775] :
( ~ is_int(X3775)
| hAPP_int_int(plus_plus_int(zero_zero_int),X3775) = X3775 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J])]) ).
fof(i_0_2702,plain,
! [X3592] : hAPP_real_real(plus_plus_real(X3592),number267125858f_real(pls)) = X3592,
inference(variable_rename,[status(thm)],[fact_238_add__numeral__0__right]) ).
fof(i_0_2703,plain,
! [X5611] : hAPP_int_int(div_mod_int(X5611),number_number_of_int(min)) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_1155_zmod__minus1__right]) ).
fof(i_0_2704,plain,
! [X4918] : hAPP_nat_nat(minus_minus_nat(X4918),X4918) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_886_diff__self__eq__0]) ).
fof(i_0_2705,plain,
! [X5603] : hAPP_int_int(div_mod_int(X5603),X5603) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_1151_zmod__self]) ).
fof(i_0_2706,plain,
! [X3757] :
( ( X3757 != zero_zero_nat
| hAPP_nat_real(power_power_real(zero_zero_real),X3757) = one_one_real )
& ( X3757 = zero_zero_nat
| hAPP_nat_real(power_power_real(zero_zero_real),X3757) = zero_zero_real ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_336_power__0__left])]) ).
fof(i_0_2707,plain,
! [X3756] :
( ( X3756 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(zero_zero_nat),X3756) = one_one_nat )
& ( X3756 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(zero_zero_nat),X3756) = zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_335_power__0__left])]) ).
fof(i_0_2708,plain,
! [X3755] :
( ( X3755 != zero_zero_nat
| hAPP_nat_int(power_power_int(zero_zero_int),X3755) = one_one_int )
& ( X3755 = zero_zero_nat
| hAPP_nat_int(power_power_int(zero_zero_int),X3755) = zero_zero_int ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_334_power__0__left])]) ).
fof(i_0_2709,plain,
! [X3920] : hAPP_nat_real(power_power_real(X3920),one_one_nat) = X3920,
inference(variable_rename,[status(thm)],[fact_424_power__one__right]) ).
fof(i_0_2710,plain,
! [X3173] : hAPP_nat_real(power_power_real(X3173),one_one_nat) = X3173,
inference(variable_rename,[status(thm)],[fact_45_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J]) ).
fof(i_0_2711,plain,
! [X3502] : hAPP_real_real(times_times_real(X3502),one_one_real) = X3502,
inference(variable_rename,[status(thm)],[fact_187_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J]) ).
fof(i_0_2712,plain,
! [X3780] : hAPP_real_real(plus_plus_real(X3780),zero_zero_real) = X3780,
inference(variable_rename,[status(thm)],[fact_352_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J]) ).
fof(i_0_2713,plain,
! [X4917] : hAPP_nat_nat(minus_minus_nat(X4917),zero_zero_nat) = X4917,
inference(variable_rename,[status(thm)],[fact_885_minus__nat_Odiff__0]) ).
fof(i_0_2714,plain,
! [X5251] : hAPP_nat_nat(times_times_nat(X5251),one_one_nat) = X5251,
inference(variable_rename,[status(thm)],[fact_1026_nat__mult__1__right]) ).
fof(i_0_2715,plain,
! [X3501] : hAPP_nat_nat(times_times_nat(X3501),one_one_nat) = X3501,
inference(variable_rename,[status(thm)],[fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J]) ).
fof(i_0_2716,plain,
! [X3921] : hAPP_nat_nat(power_power_nat(X3921),one_one_nat) = X3921,
inference(variable_rename,[status(thm)],[fact_425_power__one__right]) ).
fof(i_0_2717,plain,
! [X3174] : hAPP_nat_nat(power_power_nat(X3174),one_one_nat) = X3174,
inference(variable_rename,[status(thm)],[fact_46_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J]) ).
fof(i_0_2718,plain,
! [X5088] : hAPP_nat_nat(plus_plus_nat(X5088),zero_zero_nat) = X5088,
inference(variable_rename,[status(thm)],[fact_962_Nat_Oadd__0__right]) ).
fof(i_0_2719,plain,
! [X3779] : hAPP_nat_nat(plus_plus_nat(X3779),zero_zero_nat) = X3779,
inference(variable_rename,[status(thm)],[fact_351_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J]) ).
fof(i_0_2720,plain,
! [X4116] : hAPP_nat_real(power_power_real(X4116),zero_zero_nat) = one_one_real,
inference(variable_rename,[status(thm)],[fact_544_power__0]) ).
fof(i_0_2721,plain,
! [X4113] : hAPP_nat_real(power_power_real(X4113),zero_zero_nat) = one_one_real,
inference(variable_rename,[status(thm)],[fact_541_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J]) ).
fof(i_0_2722,plain,
! [X4485] : hAPP_real_real(times_times_real(X4485),zero_zero_real) = zero_zero_real,
inference(variable_rename,[status(thm)],[fact_706_mult__zero__right]) ).
fof(i_0_2723,plain,
! [X3774] : hAPP_real_real(times_times_real(X3774),zero_zero_real) = zero_zero_real,
inference(variable_rename,[status(thm)],[fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(i_0_2724,plain,
! [X5099] : hAPP_nat_nat(times_times_nat(X5099),zero_zero_nat) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_970_mult__0__right]) ).
fof(i_0_2725,plain,
! [X4486] : hAPP_nat_nat(times_times_nat(X4486),zero_zero_nat) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_707_mult__zero__right]) ).
fof(i_0_2726,plain,
! [X3773] : hAPP_nat_nat(times_times_nat(X3773),zero_zero_nat) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(i_0_2727,plain,
! [X4117] : hAPP_nat_nat(power_power_nat(X4117),zero_zero_nat) = one_one_nat,
inference(variable_rename,[status(thm)],[fact_545_power__0]) ).
fof(i_0_2728,plain,
! [X4114] : hAPP_nat_nat(power_power_nat(X4114),zero_zero_nat) = one_one_nat,
inference(variable_rename,[status(thm)],[fact_542_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J]) ).
fof(i_0_2729,plain,
! [X4118] : hAPP_nat_int(power_power_int(X4118),zero_zero_nat) = one_one_int,
inference(variable_rename,[status(thm)],[fact_546_power__0]) ).
fof(i_0_2730,plain,
! [X4115] : hAPP_nat_int(power_power_int(X4115),zero_zero_nat) = one_one_int,
inference(variable_rename,[status(thm)],[fact_543_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J]) ).
fof(i_0_2731,plain,
! [X4487] : hAPP_int_int(times_times_int(X4487),zero_zero_int) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_708_mult__zero__right]) ).
fof(i_0_2732,plain,
! [X3772] : hAPP_int_int(times_times_int(X3772),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_2733,plain,
! [X4453] : hAPP_real_real(times_times_real(one_one_real),X4453) = X4453,
inference(variable_rename,[status(thm)],[fact_690_real__mult__1]) ).
fof(i_0_2734,plain,
! [X3505] : hAPP_real_real(times_times_real(one_one_real),X3505) = X3505,
inference(variable_rename,[status(thm)],[fact_190_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J]) ).
fof(i_0_2735,plain,
! [X3777] : hAPP_real_real(plus_plus_real(zero_zero_real),X3777) = X3777,
inference(variable_rename,[status(thm)],[fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J]) ).
fof(i_0_2736,plain,
! [X5254] : hAPP_nat_nat(times_times_nat(one_one_nat),X5254) = X5254,
inference(variable_rename,[status(thm)],[fact_1028_nat__mult__1]) ).
fof(i_0_2737,plain,
! [X3504] : hAPP_nat_nat(times_times_nat(one_one_nat),X3504) = X3504,
inference(variable_rename,[status(thm)],[fact_189_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J]) ).
fof(i_0_2738,plain,
! [X5089] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X5089) = X5089,
inference(variable_rename,[status(thm)],[fact_963_plus__nat_Oadd__0]) ).
fof(i_0_2739,plain,
! [X3776] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X3776) = X3776,
inference(variable_rename,[status(thm)],[fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J]) ).
fof(i_0_2740,hypothesis,
! [X3094] :
( ~ is_int(X3094)
| is_int(number_number_of_int(X3094)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Int_Onumber__class_Onumber__of_000tc__Int__Oint])]) ).
fof(i_0_2741,plain,
! [X3091] :
( ~ is_int(X3091)
| is_int(zfact(X3091)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_IntFact_Ozfact])]) ).
fof(i_0_2742,plain,
! [X3983] : hAPP_nat_real(power_power_real(one_one_real),X3983) = one_one_real,
inference(variable_rename,[status(thm)],[fact_466_power__one]) ).
fof(i_0_2743,plain,
! [X4488] : hAPP_real_real(times_times_real(zero_zero_real),X4488) = zero_zero_real,
inference(variable_rename,[status(thm)],[fact_709_mult__zero__left]) ).
fof(i_0_2744,plain,
! [X3771] : hAPP_real_real(times_times_real(zero_zero_real),X3771) = zero_zero_real,
inference(variable_rename,[status(thm)],[fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J]) ).
fof(i_0_2745,plain,
! [X4916] : hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X4916) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_884_diff__0__eq__0]) ).
fof(i_0_2746,plain,
! [X5098] : hAPP_nat_nat(times_times_nat(zero_zero_nat),X5098) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_969_mult__0]) ).
fof(i_0_2747,plain,
! [X4489] : hAPP_nat_nat(times_times_nat(zero_zero_nat),X4489) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_710_mult__zero__left]) ).
fof(i_0_2748,plain,
! [X3770] : hAPP_nat_nat(times_times_nat(zero_zero_nat),X3770) = zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J]) ).
fof(i_0_2749,plain,
! [X3984] : hAPP_nat_nat(power_power_nat(one_one_nat),X3984) = one_one_nat,
inference(variable_rename,[status(thm)],[fact_467_power__one]) ).
fof(i_0_2750,plain,
! [X3985] : hAPP_nat_int(power_power_int(one_one_int),X3985) = one_one_int,
inference(variable_rename,[status(thm)],[fact_468_power__one]) ).
fof(i_0_2751,plain,
! [X5604] : hAPP_int_int(div_mod_int(zero_zero_int),X5604) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_1152_zmod__zero]) ).
fof(i_0_2752,plain,
! [X3523] : hAPP_int_int(times_times_int(pls),X3523) = pls,
inference(variable_rename,[status(thm)],[fact_201_mult__Pls]) ).
fof(i_0_2753,plain,
! [X4490] : hAPP_int_int(times_times_int(zero_zero_int),X4490) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_711_mult__zero__left]) ).
fof(i_0_2754,plain,
! [X3769] : hAPP_int_int(times_times_int(zero_zero_int),X3769) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J]) ).
cnf(i_0_2755,plain,
bit0(pls) = pls,
inference(split_conjunct,[status(thm)],[fact_200_Bit0__Pls]) ).
fof(i_0_2756,plain,
! [X3410] :
( ~ is_int(X3410)
| number_number_of_int(X3410) = X3410 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_144_number__of__is__id])]) ).
fof(i_0_2757,plain,
! [X3099] : is_int(twoSqu1241645765sum2sq(X3099)),
inference(variable_rename,[status(thm)],[gsy_c_TwoSquares__Mirabelle__enbualjaop_Osum2sq]) ).
cnf(i_0_2758,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),X2))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_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_1514,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2759,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),X2))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_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_1517,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2760,plain,
hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1518,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2761,plain,
( X1 = esk6_0
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(zcong(s1,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1519,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2762,plain,
( hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),number_number_of_int(min)))
| legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1520,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2763,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1521,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2764,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1522,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2765,plain,
( legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1)),one_one_int)) = one_one_int
| ~ hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1523,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2766,plain,
hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1524,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2767,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_nat_int(power_power_int(s1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1525,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2768,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(esk9_0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1526,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2769,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1527,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2770,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1528,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2771,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1529,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2772,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1530,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2773,plain,
hBOOL(hAPP_int_bool(zcong(s1,esk7_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1531,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2774,plain,
hBOOL(hAPP_int_bool(zcong(s1,esk6_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1532,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2775,plain,
hBOOL(hAPP_int_bool(zcong(s1,s),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1533,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2776,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk7_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1534,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2777,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk6_0),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1535,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2778,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1536,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2779,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1537,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2780,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1538,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2781,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1539,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2782,plain,
hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1540,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2783,plain,
legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1541,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2784,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1542,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2785,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),X2))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1543,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2786,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),X2))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1544,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2787,plain,
( X1 = zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1545,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2788,plain,
( X1 = zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1546,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2789,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1547,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2790,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1548,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2791,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1549,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2792,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1550,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2793,plain,
( hBOOL(member_int(X3,wset(X2,X1)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3))
| ~ hBOOL(member_int(inv(X1,X3),wset(X2,X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1551,c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2794,plain,
( hBOOL(member_int(inv(X1,X3),wset(X2,X1)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(member_int(X3,wset(X2,X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1552,c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2795,plain,
( inv(X2,inv(X2,X1)) = X1
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(zprime,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1553,c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2796,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(esk3_0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(esk4_0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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_1554,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2797,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(esk1_0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(esk2_0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1555,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2798,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1556,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2799,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1557,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2800,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1558,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2801,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1559,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2802,plain,
( X1 = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| X1 = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1))
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(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_1560,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2803,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(minus_minus_real(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1561,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2804,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1562,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2805,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1563,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2806,plain,
hAPP_nat_nat(power_power_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1564,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2807,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1565,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2808,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1566,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2809,plain,
( X2 != zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1567,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2810,plain,
( X2 != zero_zero_real
| X1 != zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1568,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2811,plain,
( hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2))),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(X2),one_one_int)),X1))),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1569,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2812,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1570,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2813,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1571,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2814,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1572,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2815,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1573,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2816,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1574,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2817,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1575,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2818,plain,
( hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2))),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(div_mod_int(X2),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1576,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2819,plain,
hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1577,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2820,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1578,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2821,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1579,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2822,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1580,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2823,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1581,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2824,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1582,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2825,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1583,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2826,plain,
( X1 = X2
| X2 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1584,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2827,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1585,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2828,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1586,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2829,plain,
( hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X3),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1587,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2830,plain,
( hBOOL(hAPP_int_bool(quadRes(X3),X2))
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1588,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2831,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1589,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2832,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1590,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2833,plain,
hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1591,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2834,plain,
( X1 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1592,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2835,plain,
( X1 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1593,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2836,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1594,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2837,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1595,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2838,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1596,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2839,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1597,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2840,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,hAPP_int_int(times_times_int(X4),multInv(X1,X2))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X1,X2)),X2)),X3),hAPP_int_int(times_times_int(multInv(X1,X2)),X4)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1598,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2841,plain,
( hAPP_int_int(div_mod_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))),number_number_of_int(hAPP_int_int(plus_plus_int(X1),X1))) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(number_number_of_int(X2)),one_one_int)),number_number_of_int(X1)))),one_one_int)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1599,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2842,plain,
( hAPP_int_int(div_mod_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))),number_number_of_int(hAPP_int_int(plus_plus_int(X1),X1))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X2)),number_number_of_int(X1)))),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1600,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2843,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(esk11_2(X1,X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2),X1))
| ~ hBOOL(hAPP_int_bool(quadRes(X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1601,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2844,plain,
hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),number_number_of_int(min)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1602,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2845,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1603,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2846,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X3),X2),X4),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X3),X2),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X4),multInv(X1,X2))),X2)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1604,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2847,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(multInv(X1,multInv(X1,X2)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),multInv(X1,X2))),multInv(X1,multInv(X1,X2)))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1605,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2848,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),multInv(X1,X2))),multInv(X1,multInv(X1,X2))),X2),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1606,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2849,plain,
( hBOOL(hAPP_int_bool(zcong(X4,X3),X1))
| hBOOL(hAPP_int_bool(zcong(X4,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),multInv(X1,X4)),hAPP_int_int(times_times_int(X2),multInv(X1,X3))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1607,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2850,plain,
( hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,hAPP_int_int(times_times_int(X4),multInv(X1,X3))),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(X3,hAPP_int_int(times_times_int(X4),multInv(X1,X2))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1608,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2851,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(div_mod_int(X2),X1)),hAPP_int_int(div_mod_int(X3),X1)),hAPP_int_int(times_times_int(X2),X3)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1609,c_0_1515]),c_0_1610]),c_0_1610]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2852,plain,
( hBOOL(hAPP_int_bool(quadRes(X1),X2))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(X3,hAPP_int_int(times_times_int(X2),multInv(X1,X3))),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1611,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2853,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4),multInv(X1,X2)),hAPP_int_int(times_times_int(X4),multInv(X1,X3))),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1612,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2854,plain,
( hAPP_nat_int(power_power_int(number_number_of_int(min)),X2) = hAPP_nat_int(power_power_int(number_number_of_int(min)),X3)
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),X2),hAPP_nat_int(power_power_int(number_number_of_int(min)),X3)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1613,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2855,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(multInv(X1,X2)),X2),one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1614,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2856,plain,
( hBOOL(hAPP_int_bool(zcong(X2,X3),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(multInv(X1,X2),multInv(X1,X3)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1615,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2857,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),multInv(X1,X2)),one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1616,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2858,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(multInv(X1,multInv(X1,X2)),X2),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1617,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2859,plain,
( hBOOL(hAPP_int_bool(zcong(multInv(X1,X2),multInv(X1,X3)),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1618,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2860,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(multInv(X1,X2),zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1619,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2861,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X2,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X2,number_number_of_int(min)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1620,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2862,plain,
( ~ hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1621,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2863,plain,
( X1 != zero_zero_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1622,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2864,plain,
( X1 != zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1623,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2865,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(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_1624,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2866,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(minus_minus_int(X1),X2)) = hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1625,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2867,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1626,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2868,plain,
( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1627,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2869,plain,
( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1628,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2870,plain,
hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1629,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2871,plain,
hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1630,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2872,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),X2)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1631,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2873,plain,
hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1632,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2874,plain,
hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1633,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2875,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1634,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2876,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1635,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2877,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1636,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2878,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1637,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2879,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1638,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2880,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1639,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2881,plain,
( d22set(hAPP_int_int(minus_minus_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = wset(hAPP_int_int(minus_minus_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)
| ~ hBOOL(hAPP_int_bool(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)],[i_0_1640,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2882,plain,
hAPP_nat_real(power_power_real(number267125858f_real(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1641,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2883,plain,
hAPP_nat_int(power_power_int(number_number_of_int(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1642,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2884,plain,
hAPP_int_int(times_times_int(X1),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_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_1643,c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2885,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1644,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2886,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1645]),
[final] ).
cnf(i_0_2887,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1646]),
[final] ).
cnf(i_0_2888,plain,
( X1 = X2
| hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) != hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))
| ~ is_int(X2)
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(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_1647,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2889,plain,
( X1 = X2
| hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) != hAPP_nat_real(power_power_real(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(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_1648,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2890,plain,
( X1 = X2
| hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) != hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(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_1649,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2891,plain,
( X1 = one_one_int
| X1 = zero_zero_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1650,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2892,plain,
( hAPP_int_int(div_mod_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) != one_one_int
| hAPP_int_int(div_mod_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1651,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2893,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X4)),X2)),X3)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4),X2)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1645]),
[final] ).
cnf(i_0_2894,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X4)),X2)),X3)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4),X2)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1646]),
[final] ).
cnf(i_0_2895,plain,
hAPP_int_int(div_mod_int(number_number_of_int(hAPP_int_int(plus_plus_int(X1),X1))),number_number_of_int(hAPP_int_int(plus_plus_int(X2),X2))) = hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(div_mod_int(number_number_of_int(X1)),number_number_of_int(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1652,c_0_1515]),c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2896,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1653]),
[final] ).
cnf(i_0_2897,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1654]),
[final] ).
cnf(i_0_2898,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1655,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2899,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1656,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2900,plain,
( hAPP_int_int(div_mod_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = one_one_int
| hAPP_int_int(div_mod_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1657,c_0_1515]),c_0_1515]),c_0_1516]),c_0_1516]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2901,plain,
hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1) = hAPP_real_real(plus_plus_real(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1658,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2902,plain,
hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1) = hAPP_real_real(plus_plus_real(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1659,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2903,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1660,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2904,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1661,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2905,plain,
hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1) = hAPP_int_int(plus_plus_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1662,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2906,plain,
hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1) = hAPP_int_int(plus_plus_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1663,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2907,plain,
hBOOL(hAPP_int_bool(zprime,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1664,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2908,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X4),X1)),X2)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4),X2)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1653]),
[final] ).
cnf(i_0_2909,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X4),X1)),X2)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4),X2)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1654]),
[final] ).
cnf(i_0_2910,plain,
hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1665,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2911,plain,
hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1666,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2912,plain,
hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1667,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2913,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(X4,X1)),X1)),X2),hAPP_int_int(times_times_int(multInv(X4,X1)),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1668]),
[final] ).
cnf(i_0_2914,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk29_3(X2,X3,X1))),hAPP_nat_nat(X1,esk30_3(X2,X3,X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_1669]),
[final] ).
cnf(i_0_2915,plain,
( X1 = zero_zero_int
| hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1670,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2916,plain,
( X1 = zero_zero_real
| hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1671,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2917,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X1),hAPP_int_int(times_times_int(X2),X3))),X4)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X5),hAPP_int_int(times_times_int(X2),X6))),X7)) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),hAPP_int_int(times_times_int(X5),X7))),hAPP_int_int(times_times_int(X2),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3),X4)),hAPP_int_int(times_times_int(X6),X7)))),
inference(split_conjunct,[status(thm)],[i_0_1672]),
[final] ).
cnf(i_0_2918,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X4),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),multInv(X3,X4))),X4)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X2),multInv(X3,X4))),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1673]),
[final] ).
cnf(i_0_2919,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3),hAPP_int_int(div_mod_int(X4),X1))),X2)),hAPP_int_int(times_times_int(X3),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1674]),
[final] ).
cnf(i_0_2920,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),hAPP_int_int(div_mod_int(X4),X1))),X3)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1675]),
[final] ).
cnf(i_0_2921,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),hAPP_nat_nat(div_mod_nat(X4),X1))),X2)),hAPP_nat_nat(times_times_nat(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1676]),
[final] ).
cnf(i_0_2922,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),X5)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X5))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1677]),
[final] ).
cnf(i_0_2923,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),X5)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X5),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1678]),
[final] ).
cnf(i_0_2924,plain,
( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X4)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X5)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3)),X4)),X5)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1679]),
[final] ).
cnf(i_0_2925,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X5),X2))
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4),X5)),X6)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4),X5)),X6)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X6))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1680]),
[final] ).
cnf(i_0_2926,plain,
( hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(X4),hAPP_int_int(times_times_int(X2),X3))))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(esk20_3(X2,X1,X3)),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(X1,X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1681]),
[final] ).
cnf(i_0_2927,plain,
( hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(X4),hAPP_int_int(times_times_int(X2),X3))))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(esk21_3(X2,X1,X3)),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(X1,X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1682]),
[final] ).
cnf(i_0_2928,plain,
hAPP_nat_real(power_power_real(number267125858f_real(X1)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(times_times_real(number267125858f_real(X1)),number267125858f_real(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1683,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2929,plain,
hAPP_nat_nat(power_power_nat(number_number_of_nat(X1)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_nat_nat(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_1684,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2930,plain,
hAPP_nat_int(power_power_int(number_number_of_int(X1)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(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_1685,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2931,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(X2),X5)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X3),X4))),X5)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1686]),
[final] ).
cnf(i_0_2932,plain,
hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(times_times_real(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1687,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2933,plain,
hAPP_real_real(times_times_real(X1),number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(plus_plus_real(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1688,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2934,plain,
hAPP_real_real(times_times_real(X1),number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_real_real(plus_plus_real(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1689,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2935,plain,
hAPP_nat_nat(times_times_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1690,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2936,plain,
hAPP_nat_nat(times_times_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_nat_nat(plus_plus_nat(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1691,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2937,plain,
hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_nat_nat(times_times_nat(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1692,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2938,plain,
hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(times_times_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1693,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2939,plain,
hAPP_int_int(times_times_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1694,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2940,plain,
hAPP_int_int(times_times_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1695,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2941,plain,
hAPP_real_real(times_times_real(X1),X1) = hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1696,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2942,plain,
hAPP_nat_nat(times_times_nat(X1),X1) = hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1697,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2943,plain,
hAPP_int_int(times_times_int(X1),X1) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1698,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2944,plain,
( hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1699,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2945,plain,
( hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1700,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2946,plain,
hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1701,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2947,plain,
hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1702,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2948,plain,
hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1703,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2949,plain,
hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1704,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2950,plain,
hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1705,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2951,plain,
hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_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_1706,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2952,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(esk25_3(X1,X2,X3)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(X3),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1707]),
[final] ).
cnf(i_0_2953,plain,
( hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(esk28_3(X1,X2,X3)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(X2),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1708]),
[final] ).
cnf(i_0_2954,plain,
( X1 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(times_times_int(X2),X2))),zero_zero_int))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1709]),
[final] ).
cnf(i_0_2955,plain,
( X1 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X2)),hAPP_int_int(times_times_int(X1),X1))),zero_zero_int))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1709]),
[final] ).
cnf(i_0_2956,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2))),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1710]),
[final] ).
cnf(i_0_2957,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X2),X2)),hAPP_real_real(times_times_real(X1),X1))),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1710]),
[final] ).
cnf(i_0_2958,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2))),zero_zero_real)),
inference(split_conjunct,[status(thm)],[i_0_1711]),
[final] ).
cnf(i_0_2959,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(times_times_int(X2),X2))),zero_zero_int)),
inference(split_conjunct,[status(thm)],[i_0_1712]),
[final] ).
cnf(i_0_2960,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1713,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2961,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1714,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2962,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1715,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2963,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1716,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2964,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(esk24_3(X1,X2,X3)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1717]),
[final] ).
cnf(i_0_2965,plain,
( hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(esk27_3(X1,X2,X3)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1718]),
[final] ).
cnf(i_0_2966,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X4),X1)),hAPP_real_real(times_times_real(X5),X3))),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X4))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X5))
| hAPP_real_real(plus_plus_real(X4),X5) != one_one_real ),
inference(split_conjunct,[status(thm)],[i_0_1719]),
[final] ).
cnf(i_0_2967,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4),X1)),hAPP_int_int(times_times_int(X5),X3))),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X5))
| hAPP_int_int(plus_plus_int(X4),X5) != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_1720]),
[final] ).
cnf(i_0_2968,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1721]),
[final] ).
cnf(i_0_2969,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),hAPP_int_int(div_mod_int(X4),X1))),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1722]),
[final] ).
cnf(i_0_2970,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk29_3(X1,X2,X3)),esk30_3(X1,X2,X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X3,X1)),X2)),hAPP_nat_nat(X3,hAPP_nat_nat(plus_plus_nat(X1),X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1669]),
[final] ).
cnf(i_0_2971,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X5))
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4),X5)),X6)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X4),X5)),X6)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X6),X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X4),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1723]),
[final] ).
cnf(i_0_2972,plain,
( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5)) = hAPP_nat_nat(minus_minus_nat(X4),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1724]),
[final] ).
cnf(i_0_2973,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X4),X5))),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X5)) ),
inference(split_conjunct,[status(thm)],[i_0_1686]),
[final] ).
cnf(i_0_2974,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3),hAPP_int_int(div_mod_int(X4),X1))),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1725]),
[final] ).
cnf(i_0_2975,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk38_3(X2,X1,X3))),esk39_3(X2,X1,X3))
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_2976,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1727,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_2977,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1728,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_2978,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1729,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_2979,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1730,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_2980,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk38_3(X2,X1,X3))),esk39_3(X2,X1,X3))
| X2 = zero_zero_int
| epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_2981,plain,
hAPP_int_int(times_times_int(twoSqu1241645765sum2sq(product_Pair_int_int(X1,X2))),twoSqu1241645765sum2sq(product_Pair_int_int(X3,X4))) = twoSqu1241645765sum2sq(product_Pair_int_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X1),X4)),hAPP_int_int(times_times_int(X2),X3)))),
inference(split_conjunct,[status(thm)],[i_0_1731]),
[final] ).
cnf(i_0_2982,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X2,X1,X3)),X2))
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_2983,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_2984,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),pls)) ),
inference(rw,[status(thm)],[i_0_1732,c_0_1516]),
[final] ).
cnf(i_0_2985,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),pls)) ),
inference(rw,[status(thm)],[i_0_1733,c_0_1516]),
[final] ).
cnf(i_0_2986,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),min)) ),
inference(rw,[status(thm)],[i_0_1734,c_0_1516]),
[final] ).
cnf(i_0_2987,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1735]),
[final] ).
cnf(i_0_2988,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),zero_zero_int)) ),
inference(rw,[status(thm)],[i_0_1736,c_0_1516]),
[final] ).
cnf(i_0_2989,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),min)) ),
inference(rw,[status(thm)],[i_0_1737,c_0_1516]),
[final] ).
cnf(i_0_2990,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1738,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2991,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1739,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2992,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1740,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2993,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1741,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_2994,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X2,X1,X3)),X2))
| X2 = zero_zero_int
| epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_2995,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_2996,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(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_1709]),
[final] ).
cnf(i_0_2997,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1)) ),
inference(rw,[status(thm)],[i_0_1742,c_0_1516]),
[final] ).
cnf(i_0_2998,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1)) ),
inference(rw,[status(thm)],[i_0_1743,c_0_1516]),
[final] ).
cnf(i_0_2999,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1)) ),
inference(rw,[status(thm)],[i_0_1744,c_0_1516]),
[final] ).
cnf(i_0_3000,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1)) ),
inference(rw,[status(thm)],[i_0_1745,c_0_1516]),
[final] ).
cnf(i_0_3001,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2))),zero_zero_real))
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1710]),
[final] ).
cnf(i_0_3002,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X2,X1,X3)))
| ~ hBOOL(hAPP_int_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3003,plain,
( X3 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk38_3(X2,X3,X1))),esk39_3(X2,X3,X1))
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3004,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3005,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| X2 = zero_zero_int
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3006,plain,
( X3 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk38_3(X2,X3,X1))),esk39_3(X2,X3,X1))
| X2 = zero_zero_int
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3007,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3008,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3009,plain,
( hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(minus_minus_int(X2),one_one_int)),X2))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),hAPP_int_int(minus_minus_int(X2),one_one_int)),one_one_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1746]),
[final] ).
cnf(i_0_3010,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X2,X1,X3)))
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3011,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1747]),
[final] ).
cnf(i_0_3012,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X2,X3,X1)),X2))
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3013,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3)))
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3014,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3015,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X2,X1,X3)))
| X2 = zero_zero_int
| epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3016,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(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_1748]),
[final] ).
cnf(i_0_3017,plain,
hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1749,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3018,plain,
hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1750,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3019,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1751,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3020,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1752,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3021,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1753,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3022,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1754,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3023,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1755,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3024,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1756,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3025,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1757,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3026,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1758,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3027,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2))))
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_1759]),
[final] ).
cnf(i_0_3028,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5)
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4) != X5
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1760]),
[final] ).
cnf(i_0_3029,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5)
| X1 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1761]),
[final] ).
cnf(i_0_3030,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X2,X3,X1)),X2))
| X2 = zero_zero_int
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3031,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3032,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1762,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3033,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1763,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3034,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1764,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3035,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1765,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3036,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),X2) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X2))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1766,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3037,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3038,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(X2),X4)),one_one_int),X3))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X1),X2),one_one_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1767]),
[final] ).
cnf(i_0_3039,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3040,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rw,[status(thm)],[i_0_1768,c_0_1516]),
[final] ).
cnf(i_0_3041,plain,
( epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,esk39_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3042,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),hAPP_int_int(minus_minus_int(X2),one_one_int)),one_one_int),X2))
| ~ hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(minus_minus_int(X2),one_one_int)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1746]),
[final] ).
cnf(i_0_3043,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(rw,[status(thm)],[i_0_1769,c_0_1516]),
[final] ).
cnf(i_0_3044,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),min)) ),
inference(rw,[status(thm)],[i_0_1770,c_0_1516]),
[final] ).
cnf(i_0_3045,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1735]),
[final] ).
cnf(i_0_3046,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(rw,[status(thm)],[i_0_1771,c_0_1516]),
[final] ).
cnf(i_0_3047,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(rw,[status(thm)],[i_0_1772,c_0_1516]),
[final] ).
cnf(i_0_3048,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min)) ),
inference(rw,[status(thm)],[i_0_1773,c_0_1516]),
[final] ).
cnf(i_0_3049,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3050,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| is_int(esk39_3(X2,X1,X3))
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3051,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| is_int(esk38_3(X2,X1,X3))
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3052,plain,
( is_int(esk41_3(X1,X2,X3))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3053,plain,
( is_int(esk40_3(X1,X2,X3))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3054,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3055,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),hAPP_nat_real(power_power_real(X1),X2))),hAPP_nat_real(power_power_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),one_one_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1774]),
[final] ).
cnf(i_0_3056,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(power_power_nat(X1),X2))),hAPP_nat_nat(power_power_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1775]),
[final] ).
cnf(i_0_3057,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),hAPP_nat_int(power_power_int(X1),X2))),hAPP_nat_int(power_power_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1776]),
[final] ).
cnf(i_0_3058,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4))) ),
inference(split_conjunct,[status(thm)],[i_0_1777]),
[final] ).
cnf(i_0_3059,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_int_int(times_times_int(X4),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1778]),
[final] ).
cnf(i_0_3060,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X4)),X2)),X3) = X5
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4),X2)),X5)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1760]),
[final] ).
cnf(i_0_3061,plain,
( X3 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X4),X1)),X2)),X5)
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4),X2)),X5)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1761]),
[final] ).
cnf(i_0_3062,plain,
( X2 = zero_zero_int
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,esk39_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3063,plain,
( hBOOL(hAPP_int_bool(zcong(X2,one_one_int),X1))
| hBOOL(hAPP_int_bool(zcong(X2,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),X2),one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1779]),
[final] ).
cnf(i_0_3064,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk25_3(X1,X2,X3)),X3))
| hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(X3),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1707]),
[final] ).
cnf(i_0_3065,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X1))) ),
inference(rw,[status(thm)],[i_0_1780,c_0_1516]),
[final] ).
cnf(i_0_3066,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(X1))) ),
inference(rw,[status(thm)],[i_0_1781,c_0_1516]),
[final] ).
cnf(i_0_3067,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X1))) ),
inference(rw,[status(thm)],[i_0_1782,c_0_1516]),
[final] ).
cnf(i_0_3068,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X1))) ),
inference(rw,[status(thm)],[i_0_1783,c_0_1516]),
[final] ).
cnf(i_0_3069,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3070,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| epred1_3(X3,X1,X2)
| ~ hBOOL(hAPP_int_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3071,plain,
( is_int(esk41_3(X1,X2,X3))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3072,plain,
( is_int(esk40_3(X1,X2,X3))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3073,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| is_int(esk39_3(X2,X1,X3))
| X2 = zero_zero_int
| epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3074,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| is_int(esk38_3(X2,X1,X3))
| X2 = zero_zero_int
| epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3075,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1784]),
[final] ).
cnf(i_0_3076,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1785]),
[final] ).
cnf(i_0_3077,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),esk36_3(X3,X1,X2))),esk37_3(X3,X1,X2))
| hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(div_mod_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3078,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3)))
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3079,plain,
( hBOOL(hAPP_int_bool(X1,esk21_3(X2,X1,X3)))
| hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(X4),hAPP_int_int(times_times_int(X2),X3))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(X1,X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1682]),
[final] ).
cnf(i_0_3080,plain,
( hBOOL(hAPP_int_bool(X1,esk20_3(X2,X1,X3)))
| hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(X4),hAPP_int_int(times_times_int(X2),X3))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(X1,X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1681]),
[final] ).
cnf(i_0_3081,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X2,X3,X1)))
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3082,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X4)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3),X4))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1787]),
[final] ).
cnf(i_0_3083,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X4)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3),X4))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1788]),
[final] ).
cnf(i_0_3084,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1789]),
[final] ).
cnf(i_0_3085,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1790]),
[final] ).
cnf(i_0_3086,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1791]),
[final] ).
cnf(i_0_3087,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1792]),
[final] ).
cnf(i_0_3088,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk38_3(X1,X2,X3))),esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3089,plain,
( X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),esk40_3(X2,X1,X3))),esk41_3(X2,X1,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| X2 = zero_zero_int
| epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3090,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),esk36_3(X3,X1,X2))),esk37_3(X3,X1,X2))
| X2 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(div_mod_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3091,plain,
( hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X2),X5)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X2),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X3,X5),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1793]),
[final] ).
cnf(i_0_3092,plain,
( hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X2),X5)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X2),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X5,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1793]),
[final] ).
cnf(i_0_3093,plain,
( hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X5),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X2),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X5),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1794]),
[final] ).
cnf(i_0_3094,plain,
( hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X5),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(times_times_int(X2),X3)),X4))
| ~ hBOOL(hAPP_int_bool(zcong(X5,X2),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1794]),
[final] ).
cnf(i_0_3095,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3096,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X2,X3,X1)))
| X2 = zero_zero_int
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3097,plain,
( is_int(esk41_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3098,plain,
( is_int(esk40_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3099,plain,
( X2 = X1
| ~ is_int(X1)
| ~ is_int(X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1795]),
[final] ).
cnf(i_0_3100,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| is_int(esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3101,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| is_int(esk38_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3102,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),inv(X1,X2)),one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1796]),
[final] ).
cnf(i_0_3103,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X1),X4)),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1797]),
[final] ).
cnf(i_0_3104,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X4)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1798]),
[final] ).
cnf(i_0_3105,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X4)),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1799]),
[final] ).
cnf(i_0_3106,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1))) ),
inference(rw,[status(thm)],[i_0_1800,c_0_1516]),
[final] ).
cnf(i_0_3107,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1))) ),
inference(rw,[status(thm)],[i_0_1801,c_0_1516]),
[final] ).
cnf(i_0_3108,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1))) ),
inference(rw,[status(thm)],[i_0_1802,c_0_1516]),
[final] ).
cnf(i_0_3109,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1))) ),
inference(rw,[status(thm)],[i_0_1803,c_0_1516]),
[final] ).
cnf(i_0_3110,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk24_3(X1,X2,X3)),X3))
| hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1717]),
[final] ).
cnf(i_0_3111,plain,
( hAPP_int_int(div_mod_int(X1),X2) = X1
| ~ is_int(X1)
| ~ hBOOL(member_int(X1,cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),cOMBC_int_int_bool(ord_less_int,X2)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1804,c_0_1610]),c_0_1805]),
[final] ).
cnf(i_0_3112,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),one_one_real))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) ),
inference(rw,[status(thm)],[i_0_1806,c_0_1516]),
[final] ).
cnf(i_0_3113,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) ),
inference(rw,[status(thm)],[i_0_1807,c_0_1516]),
[final] ).
cnf(i_0_3114,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),one_one_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) ),
inference(rw,[status(thm)],[i_0_1808,c_0_1516]),
[final] ).
cnf(i_0_3115,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),one_one_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) ),
inference(rw,[status(thm)],[i_0_1809,c_0_1516]),
[final] ).
cnf(i_0_3116,plain,
( hBOOL(hAPP_int_bool(zcong(X1,X3),X2))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X1),X2),hAPP_int_int(div_mod_int(X3),X2)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1810]),
[final] ).
cnf(i_0_3117,plain,
hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X3),X2)),X4)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X1),X3)),X2)),X4),
inference(split_conjunct,[status(thm)],[i_0_1811]),
[final] ).
cnf(i_0_3118,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X2)),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)),X4),
inference(split_conjunct,[status(thm)],[i_0_1812]),
[final] ).
cnf(i_0_3119,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X2)),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)),X4),
inference(split_conjunct,[status(thm)],[i_0_1813]),
[final] ).
cnf(i_0_3120,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3),X2)),X4)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X3)),X2)),X4),
inference(split_conjunct,[status(thm)],[i_0_1814]),
[final] ).
cnf(i_0_3121,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1815,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3122,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1816,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3123,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1817,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3124,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1818,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3125,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3126,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3127,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3128,plain,
( is_int(esk41_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3129,plain,
( is_int(esk40_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3130,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1819]),
[final] ).
cnf(i_0_3131,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1820]),
[final] ).
cnf(i_0_3132,plain,
hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X1)) = number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1)),
inference(rw,[status(thm)],[i_0_1821,c_0_1516]),
[final] ).
cnf(i_0_3133,plain,
hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X1)) = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1)),
inference(rw,[status(thm)],[i_0_1822,c_0_1516]),
[final] ).
cnf(i_0_3134,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| is_int(esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3135,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| is_int(esk38_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3136,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1823]),
[final] ).
cnf(i_0_3137,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1824]),
[final] ).
cnf(i_0_3138,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1825]),
[final] ).
cnf(i_0_3139,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1826]),
[final] ).
cnf(i_0_3140,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1827]),
[final] ).
cnf(i_0_3141,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1828]),
[final] ).
cnf(i_0_3142,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1829]),
[final] ).
cnf(i_0_3143,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1830]),
[final] ).
cnf(i_0_3144,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1831]),
[final] ).
cnf(i_0_3145,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1832]),
[final] ).
cnf(i_0_3146,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1833]),
[final] ).
cnf(i_0_3147,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1834]),
[final] ).
cnf(i_0_3148,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1835]),
[final] ).
cnf(i_0_3149,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1836]),
[final] ).
cnf(i_0_3150,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1837]),
[final] ).
cnf(i_0_3151,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1838]),
[final] ).
cnf(i_0_3152,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1839]),
[final] ).
cnf(i_0_3153,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1840]),
[final] ).
cnf(i_0_3154,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1841]),
[final] ).
cnf(i_0_3155,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1842]),
[final] ).
cnf(i_0_3156,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1843]),
[final] ).
cnf(i_0_3157,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1844]),
[final] ).
cnf(i_0_3158,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1845]),
[final] ).
cnf(i_0_3159,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1846]),
[final] ).
cnf(i_0_3160,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1847]),
[final] ).
cnf(i_0_3161,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1848]),
[final] ).
cnf(i_0_3162,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1849]),
[final] ).
cnf(i_0_3163,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1850]),
[final] ).
cnf(i_0_3164,plain,
hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(minus_minus_int(X1),X2))),hAPP_int_int(minus_minus_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1851,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3165,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(X2),X2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X2))),hAPP_int_int(plus_plus_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1852,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3166,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),X3),zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1853]),
[final] ).
cnf(i_0_3167,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),X3),zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1854]),
[final] ).
cnf(i_0_3168,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1784]),
[final] ).
cnf(i_0_3169,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1785]),
[final] ).
cnf(i_0_3170,plain,
( X1 = one_one_int
| X1 = hAPP_int_int(minus_minus_int(X2),one_one_int)
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(zprime,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X1),one_one_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1855]),
[final] ).
cnf(i_0_3171,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk37_3(X1,X2,X3)),X3))
| hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3172,plain,
( X1 = zero_zero_int
| hAPP_int_int(div_mod_int(X3),X1) = X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1856]),
[final] ).
cnf(i_0_3173,plain,
hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X1),X2)),hAPP_int_int(minus_minus_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1857,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3174,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3),X2)),hAPP_nat_real(power_power_real(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3),one_one_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1858]),
[final] ).
cnf(i_0_3175,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3),X2)),hAPP_nat_real(power_power_real(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3),one_one_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1859]),
[final] ).
cnf(i_0_3176,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3),X2)),hAPP_nat_nat(power_power_nat(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1860]),
[final] ).
cnf(i_0_3177,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3),X2)),hAPP_nat_nat(power_power_nat(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1861]),
[final] ).
cnf(i_0_3178,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3),X2)),hAPP_nat_int(power_power_int(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1862]),
[final] ).
cnf(i_0_3179,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3),X2)),hAPP_nat_int(power_power_int(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),one_one_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1863]),
[final] ).
cnf(i_0_3180,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(minus_minus_int(X1),X4),hAPP_int_int(minus_minus_int(X2),X5)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X5),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1864]),
[final] ).
cnf(i_0_3181,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X4),hAPP_int_int(times_times_int(X2),X5)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X5),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1865]),
[final] ).
cnf(i_0_3182,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(X1),X4),hAPP_int_int(plus_plus_int(X2),X5)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X5),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1866]),
[final] ).
cnf(i_0_3183,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X3)),hAPP_nat_real(power_power_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1867]),
[final] ).
cnf(i_0_3184,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1868]),
[final] ).
cnf(i_0_3185,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1869]),
[final] ).
cnf(i_0_3186,plain,
( hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),X1) = X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_1870,c_0_1516]),
[final] ).
cnf(i_0_3187,plain,
( is_int(esk21_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(X2,hAPP_int_int(plus_plus_int(X4),hAPP_int_int(times_times_int(X1),X3))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(X2,X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1682]),
[final] ).
cnf(i_0_3188,plain,
( is_int(esk20_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(X2,hAPP_int_int(minus_minus_int(X4),hAPP_int_int(times_times_int(X1),X3))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(X2,X4))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1681]),
[final] ).
cnf(i_0_3189,plain,
hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),X1) = X1,
inference(rw,[status(thm)],[i_0_1871,c_0_1516]),
[final] ).
cnf(i_0_3190,plain,
( hBOOL(hAPP_int_bool(X5,X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ is_int(X2)
| ~ is_int(X3)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),zero_zero_int))
| X4 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3)
| ~ epred1_3(X5,X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3191,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,inv(X1,X2)),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_1872]),
[final] ).
cnf(i_0_3192,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk39_3(X1,X2,X3)),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3193,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1873]),
[final] ).
cnf(i_0_3194,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X2),X3)),hAPP_real_real(times_times_real(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1874]),
[final] ).
cnf(i_0_3195,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X2)),hAPP_real_real(times_times_real(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1875]),
[final] ).
cnf(i_0_3196,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X3)),hAPP_int_int(times_times_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1876]),
[final] ).
cnf(i_0_3197,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X2)),hAPP_int_int(times_times_int(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1877]),
[final] ).
cnf(i_0_3198,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3199,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1875]),
[final] ).
cnf(i_0_3200,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X2),X1)),hAPP_real_real(times_times_real(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1874]),
[final] ).
cnf(i_0_3201,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1877]),
[final] ).
cnf(i_0_3202,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X1)),hAPP_int_int(times_times_int(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1876]),
[final] ).
cnf(i_0_3203,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,esk41_3(X1,X2,X3)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3204,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X2),X3)),hAPP_real_real(times_times_real(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1874]),
[final] ).
cnf(i_0_3205,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X2)),hAPP_real_real(times_times_real(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1875]),
[final] ).
cnf(i_0_3206,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X3)),hAPP_int_int(times_times_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1876]),
[final] ).
cnf(i_0_3207,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X2)),hAPP_int_int(times_times_int(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1877]),
[final] ).
cnf(i_0_3208,plain,
( hBOOL(hAPP_int_bool(X5,X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ is_int(X2)
| ~ is_int(X3)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X1))
| X4 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X3)
| ~ epred1_3(X5,X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3209,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1875]),
[final] ).
cnf(i_0_3210,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X2),X1)),hAPP_real_real(times_times_real(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1874]),
[final] ).
cnf(i_0_3211,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1877]),
[final] ).
cnf(i_0_3212,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X1)),hAPP_int_int(times_times_int(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1876]),
[final] ).
cnf(i_0_3213,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(times_times_int(X2),X2))))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1748]),
[final] ).
cnf(i_0_3214,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X2)),hAPP_int_int(times_times_int(X1),X1))))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1748]),
[final] ).
cnf(i_0_3215,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk37_3(X1,X2,X3)),X3))
| X3 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3216,plain,
( X2 = X1
| ~ is_int(X1)
| ~ is_int(X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1878]),
[final] ).
cnf(i_0_3217,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1759]),
[final] ).
cnf(i_0_3218,plain,
( X1 = zero_zero_real
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X2),X2)),hAPP_real_real(times_times_real(X1),X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_1759]),
[final] ).
cnf(i_0_3219,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2)))),
inference(split_conjunct,[status(thm)],[i_0_1879]),
[final] ).
cnf(i_0_3220,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(times_times_int(X2),X2)))),
inference(split_conjunct,[status(thm)],[i_0_1880]),
[final] ).
cnf(i_0_3221,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk28_3(X2,X1,X3)))
| hBOOL(hAPP_int_bool(X2,X3))
| ~ hBOOL(hAPP_int_bool(X2,hAPP_int_int(plus_plus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1708]),
[final] ).
cnf(i_0_3222,plain,
( is_int(esk39_3(X2,X3,X1))
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3223,plain,
( is_int(esk38_3(X2,X3,X1))
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3224,plain,
( is_int(esk41_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3)))
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3225,plain,
( is_int(esk40_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3)))
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3226,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1881]),
[final] ).
cnf(i_0_3227,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1873]),
[final] ).
cnf(i_0_3228,plain,
( hBOOL(member_int(X3,wset(X2,X1)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1882]),
[final] ).
cnf(i_0_3229,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1883]),
[final] ).
cnf(i_0_3230,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_real_real(times_times_real(X1),hAPP_nat_real(power_power_real(X1),X2))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1884]),
[final] ).
cnf(i_0_3231,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(power_power_nat(X1),X2))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1885]),
[final] ).
cnf(i_0_3232,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_int_int(times_times_int(X1),hAPP_nat_int(power_power_int(X1),X2))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1886]),
[final] ).
cnf(i_0_3233,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk16_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1887]),
[final] ).
cnf(i_0_3234,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk15_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1888]),
[final] ).
cnf(i_0_3235,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3))
| X1 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1889]),
[final] ).
cnf(i_0_3236,plain,
( X1 = zero_zero_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3))
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1890]),
[final] ).
cnf(i_0_3237,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| epred1_3(X2,X3,X1)
| ~ hBOOL(hAPP_int_bool(X2,esk39_3(X1,X3,X2)))
| ~ hBOOL(hAPP_int_bool(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3238,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1891]),
[final] ).
cnf(i_0_3239,plain,
( X2 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1892]),
[final] ).
cnf(i_0_3240,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| X2 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1893]),
[final] ).
cnf(i_0_3241,plain,
( X2 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1894]),
[final] ).
cnf(i_0_3242,plain,
( X2 = zero_zero_nat
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1895]),
[final] ).
cnf(i_0_3243,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3))
| X2 = zero_zero_nat
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1896]),
[final] ).
cnf(i_0_3244,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| ~ hBOOL(hAPP_int_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3245,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1897]),
[final] ).
cnf(i_0_3246,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1898]),
[final] ).
cnf(i_0_3247,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1899]),
[final] ).
cnf(i_0_3248,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1900]),
[final] ).
cnf(i_0_3249,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1901]),
[final] ).
cnf(i_0_3250,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1902]),
[final] ).
cnf(i_0_3251,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1903,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3252,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1904,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3253,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1905,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3254,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1906,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3255,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X1),X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1907]),
[final] ).
cnf(i_0_3256,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(zcong(X3,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X2),X3),zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1908]),
[final] ).
cnf(i_0_3257,plain,
( hBOOL(hAPP_int_bool(X1,esk25_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(X3),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1707]),
[final] ).
cnf(i_0_3258,plain,
( hBOOL(hAPP_int_bool(X1,esk28_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(X2),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1708]),
[final] ).
cnf(i_0_3259,plain,
( is_int(esk41_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3260,plain,
( is_int(esk40_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,esk39_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3261,plain,
( is_int(esk39_3(X2,X3,X1))
| X2 = zero_zero_int
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3262,plain,
( is_int(esk38_3(X2,X3,X1))
| X2 = zero_zero_int
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3263,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1900]),
[final] ).
cnf(i_0_3264,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X2),X1)),hAPP_nat_nat(times_times_nat(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1899]),
[final] ).
cnf(i_0_3265,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(member_int(X3,wset(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1909]),
[final] ).
cnf(i_0_3266,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),hAPP_int_int(times_times_int(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1910]),
[final] ).
cnf(i_0_3267,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X1),X3)),hAPP_nat_real(power_power_real(X2),X4)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1911]),
[final] ).
cnf(i_0_3268,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X4)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1912]),
[final] ).
cnf(i_0_3269,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1913]),
[final] ).
cnf(i_0_3270,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1914]),
[final] ).
cnf(i_0_3271,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1915]),
[final] ).
cnf(i_0_3272,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X3),X2)),hAPP_nat_nat(minus_minus_nat(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1916]),
[final] ).
cnf(i_0_3273,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1917]),
[final] ).
cnf(i_0_3274,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1918]),
[final] ).
cnf(i_0_3275,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1919]),
[final] ).
cnf(i_0_3276,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X4)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1920]),
[final] ).
cnf(i_0_3277,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1921]),
[final] ).
cnf(i_0_3278,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X3)),hAPP_int_int(plus_plus_int(X2),X4)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1922]),
[final] ).
cnf(i_0_3279,plain,
( hBOOL(member_int(X2,wset(X1,X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(member_int(X2,wset(hAPP_int_int(minus_minus_int(X1),one_one_int),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1923]),
[final] ).
cnf(i_0_3280,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1875]),
[final] ).
cnf(i_0_3281,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X2),X3)),hAPP_real_real(times_times_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1924]),
[final] ).
cnf(i_0_3282,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X1)),hAPP_real_real(times_times_real(X2),X1)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1874]),
[final] ).
cnf(i_0_3283,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X2)),hAPP_real_real(times_times_real(X3),X1)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1819]),
[final] ).
cnf(i_0_3284,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X2)),hAPP_real_real(times_times_real(X3),X1)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X3),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1925]),
[final] ).
cnf(i_0_3285,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X2),X3)),hAPP_real_real(times_times_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1926]),
[final] ).
cnf(i_0_3286,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X3),X2)),hAPP_real_real(times_times_real(X3),X1)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1927]),
[final] ).
cnf(i_0_3287,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1877]),
[final] ).
cnf(i_0_3288,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X3)),hAPP_int_int(times_times_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1928]),
[final] ).
cnf(i_0_3289,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X2),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1876]),
[final] ).
cnf(i_0_3290,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X2)),hAPP_int_int(times_times_int(X3),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1820]),
[final] ).
cnf(i_0_3291,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X2)),hAPP_int_int(times_times_int(X3),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1929]),
[final] ).
cnf(i_0_3292,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X2),X3)),hAPP_int_int(times_times_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1930]),
[final] ).
cnf(i_0_3293,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X3),X2)),hAPP_int_int(times_times_int(X3),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1931]),
[final] ).
cnf(i_0_3294,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk37_3(X1,X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3295,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X2))),hAPP_int_int(plus_plus_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1932,c_0_1515]),c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3296,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3),X1)),hAPP_nat_real(power_power_real(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1933]),
[final] ).
cnf(i_0_3297,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3),X1)),hAPP_nat_real(power_power_real(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1832]),
[final] ).
cnf(i_0_3298,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1934]),
[final] ).
cnf(i_0_3299,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1875]),
[final] ).
cnf(i_0_3300,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1823]),
[final] ).
cnf(i_0_3301,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1935]),
[final] ).
cnf(i_0_3302,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X2),X1)),hAPP_real_real(times_times_real(X3),X1)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1874]),
[final] ).
cnf(i_0_3303,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X1)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1825]),
[final] ).
cnf(i_0_3304,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X1)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1936]),
[final] ).
cnf(i_0_3305,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X3),X1)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1937]),
[final] ).
cnf(i_0_3306,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),X3)),hAPP_nat_real(power_power_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1938]),
[final] ).
cnf(i_0_3307,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3),X1)),hAPP_nat_real(power_power_real(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1840]),
[final] ).
cnf(i_0_3308,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3),X1)),hAPP_nat_real(power_power_real(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1939]),
[final] ).
cnf(i_0_3309,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1826]),
[final] ).
cnf(i_0_3310,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1940]),
[final] ).
cnf(i_0_3311,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X3),X1)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1827]),
[final] ).
cnf(i_0_3312,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X3),X1)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1941]),
[final] ).
cnf(i_0_3313,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X3),X1)),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1942]),
[final] ).
cnf(i_0_3314,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1828]),
[final] ).
cnf(i_0_3315,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1900]),
[final] ).
cnf(i_0_3316,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1943]),
[final] ).
cnf(i_0_3317,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1944]),
[final] ).
cnf(i_0_3318,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X2),X1)),hAPP_nat_nat(times_times_nat(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1899]),
[final] ).
cnf(i_0_3319,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1833]),
[final] ).
cnf(i_0_3320,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1945]),
[final] ).
cnf(i_0_3321,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1946]),
[final] ).
cnf(i_0_3322,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1947]),
[final] ).
cnf(i_0_3323,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1948]),
[final] ).
cnf(i_0_3324,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1836]),
[final] ).
cnf(i_0_3325,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1949]),
[final] ).
cnf(i_0_3326,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1842]),
[final] ).
cnf(i_0_3327,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1950]),
[final] ).
cnf(i_0_3328,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1951]),
[final] ).
cnf(i_0_3329,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1952]),
[final] ).
cnf(i_0_3330,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1845]),
[final] ).
cnf(i_0_3331,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1953]),
[final] ).
cnf(i_0_3332,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3),X1)),hAPP_nat_int(power_power_int(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1954]),
[final] ).
cnf(i_0_3333,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3),X1)),hAPP_nat_int(power_power_int(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1838]),
[final] ).
cnf(i_0_3334,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1877]),
[final] ).
cnf(i_0_3335,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1955]),
[final] ).
cnf(i_0_3336,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X1)),hAPP_int_int(times_times_int(X3),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1876]),
[final] ).
cnf(i_0_3337,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1850]),
[final] ).
cnf(i_0_3338,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1956]),
[final] ).
cnf(i_0_3339,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1957]),
[final] ).
cnf(i_0_3340,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1958]),
[final] ).
cnf(i_0_3341,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1959]),
[final] ).
cnf(i_0_3342,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3),X1)),hAPP_nat_int(power_power_int(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1847]),
[final] ).
cnf(i_0_3343,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3),X1)),hAPP_nat_int(power_power_int(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1960]),
[final] ).
cnf(i_0_3344,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1961]),
[final] ).
cnf(i_0_3345,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1962]),
[final] ).
cnf(i_0_3346,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1963]),
[final] ).
cnf(i_0_3347,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk16_3(X1,X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1887]),
[final] ).
cnf(i_0_3348,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk15_3(X1,X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1888]),
[final] ).
cnf(i_0_3349,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),one_one_real)) ),
inference(rw,[status(thm)],[i_0_1964,c_0_1516]),
[final] ).
cnf(i_0_3350,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),one_one_int)) ),
inference(rw,[status(thm)],[i_0_1965,c_0_1516]),
[final] ).
cnf(i_0_3351,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real)) ),
inference(rw,[status(thm)],[i_0_1966,c_0_1516]),
[final] ).
cnf(i_0_3352,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),one_one_int)) ),
inference(rw,[status(thm)],[i_0_1967,c_0_1516]),
[final] ).
cnf(i_0_3353,plain,
( X1 = zero_zero_int
| hAPP_int_int(div_mod_int(X3),X1) = X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1856]),
[final] ).
cnf(i_0_3354,plain,
( hBOOL(hAPP_int_bool(X2,hAPP_int_int(minus_minus_int(esk26_2(X1,X2)),one_one_int)))
| hBOOL(hAPP_int_bool(X2,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),esk26_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1968]),
[final] ).
cnf(i_0_3355,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X1),X4),hAPP_nat_int(power_power_int(X2),X4)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1969]),
[final] ).
cnf(i_0_3356,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X1),X3),hAPP_int_int(div_mod_int(X2),X3)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1810]),
[final] ).
cnf(i_0_3357,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X4),hAPP_int_int(times_times_int(X2),X4)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1970]),
[final] ).
cnf(i_0_3358,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X4),X1),hAPP_int_int(times_times_int(X4),X2)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1971]),
[final] ).
cnf(i_0_3359,plain,
( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(X1),X4),hAPP_int_int(plus_plus_int(X2),X4)),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1972]),
[final] ).
cnf(i_0_3360,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| X1 = zero_zero_int
| epred1_3(X2,X3,X1)
| ~ hBOOL(hAPP_int_bool(X2,esk39_3(X1,X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3361,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(rw,[status(thm)],[i_0_1973,c_0_1516]),
[final] ).
cnf(i_0_3362,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1)) ),
inference(rw,[status(thm)],[i_0_1974,c_0_1516]),
[final] ).
cnf(i_0_3363,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(rw,[status(thm)],[i_0_1975,c_0_1516]),
[final] ).
cnf(i_0_3364,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),X1)) ),
inference(rw,[status(thm)],[i_0_1976,c_0_1516]),
[final] ).
cnf(i_0_3365,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1977]),
[final] ).
cnf(i_0_3366,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1978]),
[final] ).
cnf(i_0_3367,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1979]),
[final] ).
cnf(i_0_3368,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| X2 = zero_zero_int
| epred1_3(X1,X3,X2)
| ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3369,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),inv(X1,X2)))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_1980]),
[final] ).
cnf(i_0_3370,plain,
( hAPP_int_int(div_mod_int(X1),X2) = hAPP_int_int(plus_plus_int(X1),X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X2)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1981]),
[final] ).
cnf(i_0_3371,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| is_int(esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3372,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| is_int(esk38_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3373,plain,
( X1 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X4)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1982]),
[final] ).
cnf(i_0_3374,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1983]),
[final] ).
cnf(i_0_3375,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1984]),
[final] ).
cnf(i_0_3376,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1983]),
[final] ).
cnf(i_0_3377,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X2),X1)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1983]),
[final] ).
cnf(i_0_3378,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1984]),
[final] ).
cnf(i_0_3379,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X2),X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1984]),
[final] ).
cnf(i_0_3380,plain,
hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(hAPP_int_int(div_mod_int(X1),X2)),X3)),X2) = hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_1985]),
[final] ).
cnf(i_0_3381,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(hAPP_int_int(div_mod_int(X1),X2)),X3)),X2) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_1986]),
[final] ).
cnf(i_0_3382,plain,
( is_int(esk41_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3383,plain,
( is_int(esk40_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3384,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 = zero_zero_int
| hAPP_int_int(div_mod_int(X3),X1) = X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1856]),
[final] ).
cnf(i_0_3385,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X2),X1)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1983]),
[final] ).
cnf(i_0_3386,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X2),X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1984]),
[final] ).
cnf(i_0_3387,plain,
( hBOOL(member_int(X1,wset(hAPP_int_int(minus_minus_int(X2),one_one_int),X3)))
| X1 = X2
| X1 = inv(X3,X2)
| ~ is_int(X1)
| ~ is_int(X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2))
| ~ hBOOL(member_int(X1,wset(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1987]),
[final] ).
cnf(i_0_3388,plain,
( X1 = esk23_2(X3,X2)
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zcong(X3,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1988]),
[final] ).
cnf(i_0_3389,plain,
( X3 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk37_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3390,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),esk27_3(X2,X1,X3)))
| hBOOL(hAPP_int_bool(X2,X3))
| ~ hBOOL(hAPP_int_bool(X2,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1718]),
[final] ).
cnf(i_0_3391,plain,
( X2 = X1
| ~ is_int(X1)
| ~ is_int(X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1989]),
[final] ).
cnf(i_0_3392,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X5,X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X3 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X4)),X2)
| ~ hBOOL(hAPP_nat_bool(X5,hAPP_nat_nat(div_mod_nat(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3393,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| ~ hBOOL(member_int(X3,wset(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1990]),
[final] ).
cnf(i_0_3394,plain,
( X1 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1991]),
[final] ).
cnf(i_0_3395,plain,
( X2 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1992]),
[final] ).
cnf(i_0_3396,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_nat_int(power_power_int(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1993]),
[final] ).
cnf(i_0_3397,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1977]),
[final] ).
cnf(i_0_3398,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1978]),
[final] ).
cnf(i_0_3399,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1979]),
[final] ).
cnf(i_0_3400,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3401,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3402,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| is_int(esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3403,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| is_int(esk38_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3404,plain,
( X1 = X3
| X2 = X4
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X3),X4)) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),hAPP_int_int(times_times_int(X3),X2))
| ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X3)
| ~ is_int(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1994]),
[final] ).
cnf(i_0_3405,plain,
( X1 = X2
| X3 = X4
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),hAPP_int_int(times_times_int(X2),X3))
| ~ is_int(X3)
| ~ is_int(X4)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1995]),
[final] ).
cnf(i_0_3406,plain,
( is_int(esk41_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3407,plain,
( is_int(esk40_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3408,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1996]),
[final] ).
cnf(i_0_3409,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1997]),
[final] ).
cnf(i_0_3410,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X2),X1)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1998]),
[final] ).
cnf(i_0_3411,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1983]),
[final] ).
cnf(i_0_3412,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1999]),
[final] ).
cnf(i_0_3413,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2000]),
[final] ).
cnf(i_0_3414,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_1983]),
[final] ).
cnf(i_0_3415,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2001]),
[final] ).
cnf(i_0_3416,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2000]),
[final] ).
cnf(i_0_3417,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X2),X1)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2002]),
[final] ).
cnf(i_0_3418,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2003]),
[final] ).
cnf(i_0_3419,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2004]),
[final] ).
cnf(i_0_3420,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X2),X1)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2005]),
[final] ).
cnf(i_0_3421,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2006]),
[final] ).
cnf(i_0_3422,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2007]),
[final] ).
cnf(i_0_3423,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2008]),
[final] ).
cnf(i_0_3424,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2007]),
[final] ).
cnf(i_0_3425,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X2),X1)),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2009]),
[final] ).
cnf(i_0_3426,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2010]),
[final] ).
cnf(i_0_3427,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2011]),
[final] ).
cnf(i_0_3428,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X2),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2012]),
[final] ).
cnf(i_0_3429,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1984]),
[final] ).
cnf(i_0_3430,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2013]),
[final] ).
cnf(i_0_3431,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2014]),
[final] ).
cnf(i_0_3432,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_1984]),
[final] ).
cnf(i_0_3433,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2015]),
[final] ).
cnf(i_0_3434,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2014]),
[final] ).
cnf(i_0_3435,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(X2),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2016]),
[final] ).
cnf(i_0_3436,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X2),X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2017]),
[final] ).
cnf(i_0_3437,plain,
( hBOOL(hAPP_int_bool(zcong(zfact(hAPP_int_int(minus_minus_int(X1),one_one_int)),number_number_of_int(min)),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2018]),
[final] ).
cnf(i_0_3438,plain,
( hBOOL(hAPP_int_bool(X1,esk24_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1717]),
[final] ).
cnf(i_0_3439,plain,
( hBOOL(hAPP_int_bool(X1,esk27_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1718]),
[final] ).
cnf(i_0_3440,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X2),X1)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2019]),
[final] ).
cnf(i_0_3441,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2020]),
[final] ).
cnf(i_0_3442,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2021]),
[final] ).
cnf(i_0_3443,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_2022]),
[final] ).
cnf(i_0_3444,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(div_mod_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2023]),
[final] ).
cnf(i_0_3445,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2024]),
[final] ).
cnf(i_0_3446,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2025]),
[final] ).
cnf(i_0_3447,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X2),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2026]),
[final] ).
cnf(i_0_3448,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2027]),
[final] ).
cnf(i_0_3449,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2028]),
[final] ).
cnf(i_0_3450,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2029]),
[final] ).
cnf(i_0_3451,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2030]),
[final] ).
cnf(i_0_3452,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2030]),
[final] ).
cnf(i_0_3453,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2031]),
[final] ).
cnf(i_0_3454,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2032]),
[final] ).
cnf(i_0_3455,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2033]),
[final] ).
cnf(i_0_3456,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2034]),
[final] ).
cnf(i_0_3457,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_2035]),
[final] ).
cnf(i_0_3458,plain,
( ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| inv(X1,X2) != hAPP_int_int(minus_minus_int(X1),one_one_int) ),
inference(split_conjunct,[status(thm)],[i_0_2036]),
[final] ).
cnf(i_0_3459,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X3),X1)),hAPP_int_int(times_times_int(X3),X2)))
| X3 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ is_int(X3) ),
inference(split_conjunct,[status(thm)],[i_0_1889]),
[final] ).
cnf(i_0_3460,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(minus_minus_real(X1),X2)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2037]),
[final] ).
cnf(i_0_3461,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),X2)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2038]),
[final] ).
cnf(i_0_3462,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X1)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2039]),
[final] ).
cnf(i_0_3463,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),pls)) ),
inference(rw,[status(thm)],[i_0_2040,c_0_1515]),
[final] ).
cnf(i_0_3464,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),zero_zero_int)) ),
inference(rw,[status(thm)],[i_0_2041,c_0_1515]),
[final] ).
cnf(i_0_3465,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2042]),
[final] ).
cnf(i_0_3466,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),pls)) ),
inference(rw,[status(thm)],[i_0_2043,c_0_1515]),
[final] ).
cnf(i_0_3467,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),min)) ),
inference(rw,[status(thm)],[i_0_2044,c_0_1515]),
[final] ).
cnf(i_0_3468,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),min)) ),
inference(rw,[status(thm)],[i_0_2045,c_0_1515]),
[final] ).
cnf(i_0_3469,plain,
hAPP_int_int(minus_minus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(minus_minus_int(min),X1))),hAPP_int_int(minus_minus_int(min),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2046,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3470,plain,
( X1 = X3
| X2 = X4
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X3),X4)) != hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X4)),hAPP_real_real(times_times_real(X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2047]),
[final] ).
cnf(i_0_3471,plain,
( X1 = X3
| X2 = X4
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X3),X4)) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X4)),hAPP_nat_nat(times_times_nat(X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2048]),
[final] ).
cnf(i_0_3472,plain,
( X1 = X2
| X3 = X4
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X4)) != hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X4)),hAPP_real_real(times_times_real(X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2049]),
[final] ).
cnf(i_0_3473,plain,
( X1 = X2
| X3 = X4
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X4)),hAPP_nat_nat(times_times_nat(X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2050]),
[final] ).
cnf(i_0_3474,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3)))
| X3 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1893]),
[final] ).
cnf(i_0_3475,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X3)))
| X3 = zero_zero_nat
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1896]),
[final] ).
cnf(i_0_3476,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X1),X3)),hAPP_nat_real(power_power_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2051]),
[final] ).
cnf(i_0_3477,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X3),X1)),hAPP_nat_real(power_power_real(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2052]),
[final] ).
cnf(i_0_3478,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X3),X1)),hAPP_real_real(plus_plus_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2053]),
[final] ).
cnf(i_0_3479,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1892]),
[final] ).
cnf(i_0_3480,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2054]),
[final] ).
cnf(i_0_3481,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1891]),
[final] ).
cnf(i_0_3482,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2055]),
[final] ).
cnf(i_0_3483,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2056]),
[final] ).
cnf(i_0_3484,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2057]),
[final] ).
cnf(i_0_3485,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2058]),
[final] ).
cnf(i_0_3486,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2059]),
[final] ).
cnf(i_0_3487,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1901]),
[final] ).
cnf(i_0_3488,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2060]),
[final] ).
cnf(i_0_3489,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X3),X2)),hAPP_nat_nat(minus_minus_nat(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2061]),
[final] ).
cnf(i_0_3490,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1839]),
[final] ).
cnf(i_0_3491,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2062]),
[final] ).
cnf(i_0_3492,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1843]),
[final] ).
cnf(i_0_3493,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X3),X1)),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2063]),
[final] ).
cnf(i_0_3494,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2064]),
[final] ).
cnf(i_0_3495,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1902]),
[final] ).
cnf(i_0_3496,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2065]),
[final] ).
cnf(i_0_3497,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X3),X1)),hAPP_nat_int(power_power_int(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2066]),
[final] ).
cnf(i_0_3498,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2067,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3499,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2068,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3500,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X3)),hAPP_int_int(plus_plus_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2069]),
[final] ).
cnf(i_0_3501,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2070,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3502,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2071,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3503,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X3),X1)),hAPP_int_int(plus_plus_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2072]),
[final] ).
cnf(i_0_3504,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X1),X3))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1907]),
[final] ).
cnf(i_0_3505,plain,
hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),X2) = hAPP_nat_nat(div_mod_nat(X3),X2),
inference(split_conjunct,[status(thm)],[i_0_2073]),
[final] ).
cnf(i_0_3506,plain,
( is_int(esk25_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(minus_minus_int(X3),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1707]),
[final] ).
cnf(i_0_3507,plain,
( is_int(esk28_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(X2),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1708]),
[final] ).
cnf(i_0_3508,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),one_one_int)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2074]),
[final] ).
cnf(i_0_3509,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk41_3(X1,X2,X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3510,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk39_3(X1,X2,X3)))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3511,plain,
( X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| hAPP_nat_int(power_power_int(X1),X3) != hAPP_nat_int(power_power_int(X2),X3)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2075]),
[final] ).
cnf(i_0_3512,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2076]),
[final] ).
cnf(i_0_3513,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2077]),
[final] ).
cnf(i_0_3514,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2078]),
[final] ).
cnf(i_0_3515,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2079]),
[final] ).
cnf(i_0_3516,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2080]),
[final] ).
cnf(i_0_3517,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2081]),
[final] ).
cnf(i_0_3518,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2082]),
[final] ).
cnf(i_0_3519,plain,
( X1 = hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X3),esk10_3(X2,X1,X3)))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X1),X3))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2083]),
[final] ).
cnf(i_0_3520,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(times_times_real(X1),hAPP_nat_real(power_power_real(X1),X2))))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2084]),
[final] ).
cnf(i_0_3521,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(power_power_nat(X1),X2))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2085]),
[final] ).
cnf(i_0_3522,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(times_times_int(X1),hAPP_nat_int(power_power_int(X1),X2))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2086]),
[final] ).
cnf(i_0_3523,plain,
( ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| X2 != inv(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_2087]),
[final] ).
cnf(i_0_3524,plain,
( ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| inv(X1,X2) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_2088]),
[final] ).
cnf(i_0_3525,plain,
( ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(minus_minus_int(X1),one_one_int)))
| inv(X1,X2) != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_2089]),
[final] ).
cnf(i_0_3526,plain,
( X1 = hAPP_int_int(minus_minus_int(X2),one_one_int)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int)))
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2090]),
[final] ).
cnf(i_0_3527,plain,
( X1 = X3
| hAPP_nat_real(power_power_real(X1),X2) != hAPP_nat_real(power_power_real(X3),X2)
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2091]),
[final] ).
cnf(i_0_3528,plain,
( X1 = X3
| hAPP_nat_nat(power_power_nat(X1),X2) != hAPP_nat_nat(power_power_nat(X3),X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2092]),
[final] ).
cnf(i_0_3529,plain,
( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),hAPP_nat_nat(minus_minus_nat(X3),X1)) = hAPP_nat_nat(minus_minus_nat(X2),X3)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2093]),
[final] ).
cnf(i_0_3530,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 != hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2094]),
[final] ).
cnf(i_0_3531,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2020]),
[final] ).
cnf(i_0_3532,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2021]),
[final] ).
cnf(i_0_3533,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2095]),
[final] ).
cnf(i_0_3534,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(minus_minus_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2096]),
[final] ).
cnf(i_0_3535,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(plus_plus_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2097]),
[final] ).
cnf(i_0_3536,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2098]),
[final] ).
cnf(i_0_3537,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2099]),
[final] ).
cnf(i_0_3538,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(div_mod_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2100]),
[final] ).
cnf(i_0_3539,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2101]),
[final] ).
cnf(i_0_3540,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2102]),
[final] ).
cnf(i_0_3541,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X2),hAPP_int_int(times_times_int(X3),X2)),X2)),
inference(split_conjunct,[status(thm)],[i_0_2103]),
[final] ).
cnf(i_0_3542,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),one_one_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 != hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2104]),
[final] ).
cnf(i_0_3543,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(plus_plus_nat(esk17_2(X2,X1)),one_one_nat)))
| hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2105]),
[final] ).
cnf(i_0_3544,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(plus_plus_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2106]),
[final] ).
cnf(i_0_3545,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),hAPP_nat_int(power_power_int(X3),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2107]),
[final] ).
cnf(i_0_3546,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),hAPP_int_int(plus_plus_int(X1),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2108]),
[final] ).
cnf(i_0_3547,plain,
( X1 = esk13_2(X3,X2)
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| hAPP_nat_real(power_power_real(X1),X2) != X3
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2109]),
[final] ).
cnf(i_0_3548,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2110]),
[final] ).
cnf(i_0_3549,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2111]),
[final] ).
cnf(i_0_3550,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2112]),
[final] ).
cnf(i_0_3551,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2113]),
[final] ).
cnf(i_0_3552,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2114]),
[final] ).
cnf(i_0_3553,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2115]),
[final] ).
cnf(i_0_3554,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2116]),
[final] ).
cnf(i_0_3555,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2117]),
[final] ).
cnf(i_0_3556,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1843]),
[final] ).
cnf(i_0_3557,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(X2),X1)),hAPP_nat_nat(times_times_nat(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1839]),
[final] ).
cnf(i_0_3558,plain,
hAPP_real_real(plus_plus_real(number267125858f_real(X1)),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[i_0_2118,c_0_1516]),
[final] ).
cnf(i_0_3559,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(X1)),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(rw,[status(thm)],[i_0_2119,c_0_1516]),
[final] ).
cnf(i_0_3560,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2111]),
[final] ).
cnf(i_0_3561,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X2),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2111]),
[final] ).
cnf(i_0_3562,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2111]),
[final] ).
cnf(i_0_3563,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X2),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2111]),
[final] ).
cnf(i_0_3564,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2115]),
[final] ).
cnf(i_0_3565,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X2),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2115]),
[final] ).
cnf(i_0_3566,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2115]),
[final] ).
cnf(i_0_3567,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X2),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2115]),
[final] ).
cnf(i_0_3568,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2120]),
[final] ).
cnf(i_0_3569,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2121]),
[final] ).
cnf(i_0_3570,plain,
( hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(minus_minus_nat(X1),one_one_nat))),X2) = hAPP_nat_real(power_power_real(X2),X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2122]),
[final] ).
cnf(i_0_3571,plain,
( hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),one_one_nat))),X2) = hAPP_nat_nat(power_power_nat(X2),X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2123]),
[final] ).
cnf(i_0_3572,plain,
( hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(minus_minus_nat(X1),one_one_nat))),X2) = hAPP_nat_int(power_power_int(X2),X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2124]),
[final] ).
cnf(i_0_3573,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2125]),
[final] ).
cnf(i_0_3574,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2126]),
[final] ).
cnf(i_0_3575,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2127]),
[final] ).
cnf(i_0_3576,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2111]),
[final] ).
cnf(i_0_3577,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2128]),
[final] ).
cnf(i_0_3578,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2113]),
[final] ).
cnf(i_0_3579,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2129]),
[final] ).
cnf(i_0_3580,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2130]),
[final] ).
cnf(i_0_3581,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2131]),
[final] ).
cnf(i_0_3582,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2132]),
[final] ).
cnf(i_0_3583,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2133]),
[final] ).
cnf(i_0_3584,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2134]),
[final] ).
cnf(i_0_3585,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2135]),
[final] ).
cnf(i_0_3586,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2115]),
[final] ).
cnf(i_0_3587,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2136]),
[final] ).
cnf(i_0_3588,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2117]),
[final] ).
cnf(i_0_3589,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2137]),
[final] ).
cnf(i_0_3590,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2138]),
[final] ).
cnf(i_0_3591,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(X1),X1))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rw,[status(thm)],[i_0_2139,c_0_1515]),
[final] ).
cnf(i_0_3592,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[i_0_2140]),
[final] ).
cnf(i_0_3593,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[i_0_2141]),
[final] ).
cnf(i_0_3594,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_nat_int(power_power_int(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_2142]),
[final] ).
cnf(i_0_3595,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2143]),
[final] ).
cnf(i_0_3596,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2144]),
[final] ).
cnf(i_0_3597,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X2)),number267125858f_real(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2145]),
[final] ).
cnf(i_0_3598,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X2)),number_number_of_nat(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2146]),
[final] ).
cnf(i_0_3599,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X2)),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2147]),
[final] ).
cnf(i_0_3600,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X1)),zero_zero_real)),
inference(split_conjunct,[status(thm)],[i_0_2148]),
[final] ).
cnf(i_0_3601,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X1)),zero_zero_int)),
inference(split_conjunct,[status(thm)],[i_0_2149]),
[final] ).
cnf(i_0_3602,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X2)),X3)) = hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(times_times_int(X1),X2))),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2150]),
[final] ).
cnf(i_0_3603,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2151]),
[final] ).
cnf(i_0_3604,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2152]),
[final] ).
cnf(i_0_3605,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2153]),
[final] ).
cnf(i_0_3606,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2154]),
[final] ).
cnf(i_0_3607,plain,
( hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X3),X2)),X1) = hAPP_int_int(div_mod_int(X3),X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2155]),
[final] ).
cnf(i_0_3608,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(minus_minus_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2037]),
[final] ).
cnf(i_0_3609,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2038]),
[final] ).
cnf(i_0_3610,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X3),X4)) = hAPP_real_real(times_times_real(X3),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X4)),
inference(split_conjunct,[status(thm)],[i_0_2156]),
[final] ).
cnf(i_0_3611,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X3),X4)) = hAPP_nat_nat(times_times_nat(X3),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X4)),
inference(split_conjunct,[status(thm)],[i_0_2157]),
[final] ).
cnf(i_0_3612,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X3),X4)) = hAPP_int_int(times_times_int(X3),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X4)),
inference(split_conjunct,[status(thm)],[i_0_2158]),
[final] ).
cnf(i_0_3613,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X1),hAPP_int_int(div_mod_int(X2),X3))),X3) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2159]),
[final] ).
cnf(i_0_3614,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X1),hAPP_int_int(div_mod_int(X2),X3))),X3) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2160]),
[final] ).
cnf(i_0_3615,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X1),X2)),X3) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X1),hAPP_int_int(div_mod_int(X2),X3))),X3),
inference(split_conjunct,[status(thm)],[i_0_2161]),
[final] ).
cnf(i_0_3616,plain,
( hBOOL(hAPP_int_bool(zcong(X1,X5),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| X2 != X4
| ~ hBOOL(hAPP_int_bool(zcong(X4,X5),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2162]),
[final] ).
cnf(i_0_3617,plain,
( number_number_of_nat(X2) = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_2163]),
[final] ).
cnf(i_0_3618,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X2)),number_number_of_nat(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2121]),
[final] ).
cnf(i_0_3619,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk13_2(X1,X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2109]),
[final] ).
cnf(i_0_3620,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk12_2(X1,X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2164]),
[final] ).
cnf(i_0_3621,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X2))
| X1 != one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1991]),
[final] ).
cnf(i_0_3622,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X2),X1)),X2))
| X1 != one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1992]),
[final] ).
cnf(i_0_3623,plain,
( hBOOL(hAPP_int_bool(zcong(X1,X4),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X4),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2165]),
[final] ).
cnf(i_0_3624,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X1)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2039]),
[final] ).
cnf(i_0_3625,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(rw,[status(thm)],[i_0_2166,c_0_1515]),
[final] ).
cnf(i_0_3626,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min)) ),
inference(rw,[status(thm)],[i_0_2167,c_0_1515]),
[final] ).
cnf(i_0_3627,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(rw,[status(thm)],[i_0_2168,c_0_1515]),
[final] ).
cnf(i_0_3628,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2042]),
[final] ).
cnf(i_0_3629,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2169]),
[final] ).
cnf(i_0_3630,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X2),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2170]),
[final] ).
cnf(i_0_3631,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)) ),
inference(rw,[status(thm)],[i_0_2171,c_0_1515]),
[final] ).
cnf(i_0_3632,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),min))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),min)) ),
inference(rw,[status(thm)],[i_0_2172,c_0_1515]),
[final] ).
cnf(i_0_3633,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X2),X1)),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2173]),
[final] ).
cnf(i_0_3634,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X2),X1)),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2174]),
[final] ).
cnf(i_0_3635,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(X1),X2)),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2175]),
[final] ).
cnf(i_0_3636,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(X2),X1)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rw,[status(thm)],[i_0_2176,c_0_1610]),
[final] ).
cnf(i_0_3637,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(X2),X1)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2177]),
[final] ).
cnf(i_0_3638,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(X1),X2)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2178]),
[final] ).
cnf(i_0_3639,plain,
( hAPP_int_int(times_times_int(X1),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) = X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2179,c_0_1516]),
[final] ).
cnf(i_0_3640,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),one_one_int)),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2074]),
[final] ).
cnf(i_0_3641,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),one_one_int)),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2180]),
[final] ).
cnf(i_0_3642,plain,
hAPP_real_real(times_times_real(X1),number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) = X1,
inference(rw,[status(thm)],[i_0_2181,c_0_1516]),
[final] ).
cnf(i_0_3643,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2182]),
[final] ).
cnf(i_0_3644,plain,
( is_int(esk41_3(X1,X2,X3))
| is_int(esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3645,plain,
( is_int(esk40_3(X1,X2,X3))
| is_int(esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3646,plain,
( is_int(esk41_3(X1,X2,X3))
| is_int(esk38_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3647,plain,
( is_int(esk40_3(X1,X2,X3))
| is_int(esk38_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3648,plain,
( hBOOL(hAPP_nat_bool(X3,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk31_2(X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X3,X1))
| ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2183]),
[final] ).
cnf(i_0_3649,plain,
( hBOOL(hAPP_nat_bool(X3,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk17_2(X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X3,X1))
| ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2105]),
[final] ).
cnf(i_0_3650,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int)))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2184]),
[final] ).
cnf(i_0_3651,plain,
( hBOOL(hAPP_int_bool(zcong(X2,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_2185]),
[final] ).
cnf(i_0_3652,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2186]),
[final] ).
cnf(i_0_3653,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2187]),
[final] ).
cnf(i_0_3654,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2188]),
[final] ).
cnf(i_0_3655,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2189]),
[final] ).
cnf(i_0_3656,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2190]),
[final] ).
cnf(i_0_3657,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2191]),
[final] ).
cnf(i_0_3658,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2192]),
[final] ).
cnf(i_0_3659,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2193]),
[final] ).
cnf(i_0_3660,plain,
( hBOOL(hAPP_nat_bool(X3,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(minus_minus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1887]),
[final] ).
cnf(i_0_3661,plain,
( hBOOL(hAPP_nat_bool(X3,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(minus_minus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1888]),
[final] ).
cnf(i_0_3662,plain,
( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2194]),
[final] ).
cnf(i_0_3663,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2195]),
[final] ).
cnf(i_0_3664,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(X2),esk16_3(X3,X1,X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(minus_minus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1887]),
[final] ).
cnf(i_0_3665,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(X2),esk15_3(X3,X1,X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(minus_minus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1888]),
[final] ).
cnf(i_0_3666,plain,
( is_int(esk24_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1717]),
[final] ).
cnf(i_0_3667,plain,
( is_int(esk27_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(X1,X3))
| ~ hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1718]),
[final] ).
cnf(i_0_3668,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1891]),
[final] ).
cnf(i_0_3669,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X2),X1)),hAPP_nat_nat(times_times_nat(X3),X1)))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1892]),
[final] ).
cnf(i_0_3670,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2196]),
[final] ).
cnf(i_0_3671,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2197]),
[final] ).
cnf(i_0_3672,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2198]),
[final] ).
cnf(i_0_3673,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_2199]),
[final] ).
cnf(i_0_3674,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_2200]),
[final] ).
cnf(i_0_3675,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_2201]),
[final] ).
cnf(i_0_3676,plain,
( X1 = X3
| hAPP_nat_nat(minus_minus_nat(X1),X2) != hAPP_nat_nat(minus_minus_nat(X3),X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2202]),
[final] ).
cnf(i_0_3677,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X1),X1)))),
inference(split_conjunct,[status(thm)],[i_0_2203]),
[final] ).
cnf(i_0_3678,plain,
( X2 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2204]),
[final] ).
cnf(i_0_3679,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X2 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2205]),
[final] ).
cnf(i_0_3680,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),hAPP_int_int(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_1995]),
[final] ).
cnf(i_0_3681,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X4)),hAPP_int_int(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_1994]),
[final] ).
cnf(i_0_3682,plain,
( hAPP_real_real(times_times_real(number267125858f_real(X1)),number267125858f_real(X2)) = number267125858f_real(hAPP_int_int(times_times_int(X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2206]),
[final] ).
cnf(i_0_3683,plain,
( hAPP_real_real(plus_plus_real(number267125858f_real(X1)),number267125858f_real(X2)) = number267125858f_real(hAPP_int_int(plus_plus_int(X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2207]),
[final] ).
cnf(i_0_3684,plain,
( hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(times_times_int(X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2208]),
[final] ).
cnf(i_0_3685,plain,
( hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2209]),
[final] ).
cnf(i_0_3686,plain,
( hAPP_int_int(times_times_int(number_number_of_int(X1)),number_number_of_int(X2)) = number_number_of_int(hAPP_int_int(times_times_int(X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2210]),
[final] ).
cnf(i_0_3687,plain,
( hAPP_int_int(plus_plus_int(number_number_of_int(X1)),number_number_of_int(X2)) = number_number_of_int(hAPP_int_int(plus_plus_int(X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2211]),
[final] ).
cnf(i_0_3688,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2212]),
[final] ).
cnf(i_0_3689,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2129]),
[final] ).
cnf(i_0_3690,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X2),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2129]),
[final] ).
cnf(i_0_3691,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(X1),X1))) ),
inference(rw,[status(thm)],[i_0_2213,c_0_1515]),
[final] ).
cnf(i_0_3692,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(plus_plus_int(X1),X1))) ),
inference(rw,[status(thm)],[i_0_2214,c_0_1515]),
[final] ).
cnf(i_0_3693,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),hAPP_int_int(plus_plus_int(X1),X1))) ),
inference(rw,[status(thm)],[i_0_2215,c_0_1515]),
[final] ).
cnf(i_0_3694,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(X1),X1))) ),
inference(rw,[status(thm)],[i_0_2216,c_0_1515]),
[final] ).
cnf(i_0_3695,plain,
hAPP_int_int(minus_minus_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(min),X1)),hAPP_int_int(minus_minus_int(min),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2217,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3696,plain,
hAPP_int_int(minus_minus_int(min),hAPP_int_int(plus_plus_int(X1),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(minus_minus_int(min),X1))),hAPP_int_int(minus_minus_int(min),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2218,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3697,plain,
( hBOOL(hAPP_int_bool(zcong(X1,esk23_2(X1,X2)),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1988]),
[final] ).
cnf(i_0_3698,plain,
( hAPP_nat_real(power_power_real(esk13_2(X1,X2)),X2) = X1
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2109]),
[final] ).
cnf(i_0_3699,plain,
( hAPP_nat_real(power_power_real(esk12_2(X1,X2)),X2) = X1
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2164]),
[final] ).
cnf(i_0_3700,plain,
( X1 = one_one_int
| X1 = X2
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zprime,X2))
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2219]),
[final] ).
cnf(i_0_3701,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,esk23_2(X1,X2)),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1988]),
[final] ).
cnf(i_0_3702,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| is_int(esk39_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3703,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| is_int(esk38_3(X1,X2,X3))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3704,plain,
number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X1))),number267125858f_real(X1)),
inference(rw,[status(thm)],[i_0_2220,c_0_1516]),
[final] ).
cnf(i_0_3705,plain,
number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X1))),number_number_of_int(X1)),
inference(rw,[status(thm)],[i_0_2221,c_0_1516]),
[final] ).
cnf(i_0_3706,plain,
( is_int(esk41_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3707,plain,
( is_int(esk40_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| epred1_3(X3,X2,X1)
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3708,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3),hAPP_int_int(minus_minus_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2185]),
[final] ).
cnf(i_0_3709,plain,
( X1 = X2
| hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) != hAPP_int_int(plus_plus_int(hAPP_int_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_2222,c_0_1516]),c_0_1516]),
[final] ).
cnf(i_0_3710,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(X2))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2163]),
[final] ).
cnf(i_0_3711,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2184]),
[final] ).
cnf(i_0_3712,plain,
( hAPP_int_int(div_mod_int(X1),X3) = hAPP_int_int(div_mod_int(X2),X3)
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2223,c_0_1610]),c_0_1610]),
[final] ).
cnf(i_0_3713,plain,
( hAPP_int_int(div_mod_int(X1),X3) = hAPP_int_int(div_mod_int(X2),X3)
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2224]),
[final] ).
cnf(i_0_3714,plain,
( hAPP_int_int(div_mod_int(X2),X1) = hAPP_int_int(div_mod_int(X3),X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_2225]),
[final] ).
cnf(i_0_3715,plain,
hAPP_real_real(times_times_real(number267125858f_real(X1)),hAPP_real_real(times_times_real(number267125858f_real(X2)),X3)) = hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(times_times_int(X1),X2))),X3),
inference(split_conjunct,[status(thm)],[i_0_2226]),
[final] ).
cnf(i_0_3716,plain,
hAPP_real_real(plus_plus_real(number267125858f_real(X1)),hAPP_real_real(minus_minus_real(number267125858f_real(X2)),X3)) = hAPP_real_real(minus_minus_real(number267125858f_real(hAPP_int_int(plus_plus_int(X1),X2))),X3),
inference(split_conjunct,[status(thm)],[i_0_2227]),
[final] ).
cnf(i_0_3717,plain,
hAPP_real_real(plus_plus_real(number267125858f_real(X1)),hAPP_real_real(plus_plus_real(number267125858f_real(X2)),X3)) = hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(X1),X2))),X3),
inference(split_conjunct,[status(thm)],[i_0_2228]),
[final] ).
cnf(i_0_3718,plain,
hAPP_int_int(times_times_int(number_number_of_int(X1)),hAPP_int_int(times_times_int(number_number_of_int(X2)),X3)) = hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(X1),X2))),X3),
inference(split_conjunct,[status(thm)],[i_0_2229]),
[final] ).
cnf(i_0_3719,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(X1)),hAPP_int_int(minus_minus_int(number_number_of_int(X2)),X3)) = hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(X1),X2))),X3),
inference(split_conjunct,[status(thm)],[i_0_2230]),
[final] ).
cnf(i_0_3720,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(X1)),hAPP_int_int(plus_plus_int(number_number_of_int(X2)),X3)) = hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(X1),X2))),X3),
inference(split_conjunct,[status(thm)],[i_0_2231]),
[final] ).
cnf(i_0_3721,plain,
( is_int(esk41_3(X1,X2,X3))
| is_int(esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3722,plain,
( is_int(esk40_3(X1,X2,X3))
| is_int(esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3723,plain,
( is_int(esk41_3(X1,X2,X3))
| is_int(esk38_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3724,plain,
( is_int(esk40_3(X1,X2,X3))
| is_int(esk38_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3725,plain,
hAPP_real_real(times_times_real(number267125858f_real(X1)),hAPP_real_real(minus_minus_real(X2),X3)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(number267125858f_real(X1)),X2)),hAPP_real_real(times_times_real(number267125858f_real(X1)),X3)),
inference(split_conjunct,[status(thm)],[i_0_2232]),
[final] ).
cnf(i_0_3726,plain,
hAPP_real_real(times_times_real(number267125858f_real(X1)),hAPP_real_real(plus_plus_real(X2),X3)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(number267125858f_real(X1)),X2)),hAPP_real_real(times_times_real(number267125858f_real(X1)),X3)),
inference(split_conjunct,[status(thm)],[i_0_2233]),
[final] ).
cnf(i_0_3727,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),X2)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),X3)),
inference(split_conjunct,[status(thm)],[i_0_2234]),
[final] ).
cnf(i_0_3728,plain,
hAPP_int_int(times_times_int(number_number_of_int(X1)),hAPP_int_int(minus_minus_int(X2),X3)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(X1)),X2)),hAPP_int_int(times_times_int(number_number_of_int(X1)),X3)),
inference(split_conjunct,[status(thm)],[i_0_2235]),
[final] ).
cnf(i_0_3729,plain,
hAPP_int_int(times_times_int(number_number_of_int(X1)),hAPP_int_int(plus_plus_int(X2),X3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(X1)),X2)),hAPP_int_int(times_times_int(number_number_of_int(X1)),X3)),
inference(split_conjunct,[status(thm)],[i_0_2236]),
[final] ).
cnf(i_0_3730,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(X2),esk16_3(X3,X1,X2))
| hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(minus_minus_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(X3,zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1887]),
[final] ).
cnf(i_0_3731,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(X2),esk15_3(X3,X1,X2))
| hBOOL(hAPP_nat_bool(X3,hAPP_nat_nat(minus_minus_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(X3,zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1888]),
[final] ).
cnf(i_0_3732,plain,
( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1) = hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2237]),
[final] ).
cnf(i_0_3733,plain,
( hAPP_nat_nat(minus_minus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2238]),
[final] ).
cnf(i_0_3734,plain,
( hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2239]),
[final] ).
cnf(i_0_3735,plain,
hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X1),X2)),number267125858f_real(X3)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X1),number267125858f_real(X3))),hAPP_real_real(times_times_real(X2),number267125858f_real(X3))),
inference(split_conjunct,[status(thm)],[i_0_2240]),
[final] ).
cnf(i_0_3736,plain,
hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X1),X2)),number267125858f_real(X3)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),number267125858f_real(X3))),hAPP_real_real(times_times_real(X2),number267125858f_real(X3))),
inference(split_conjunct,[status(thm)],[i_0_2241]),
[final] ).
cnf(i_0_3737,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),number_number_of_nat(X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),number_number_of_nat(X3))),hAPP_nat_nat(times_times_nat(X2),number_number_of_nat(X3))),
inference(split_conjunct,[status(thm)],[i_0_2242]),
[final] ).
cnf(i_0_3738,plain,
hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X1),X2)),number_number_of_int(X3)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X1),number_number_of_int(X3))),hAPP_int_int(times_times_int(X2),number_number_of_int(X3))),
inference(split_conjunct,[status(thm)],[i_0_2243]),
[final] ).
cnf(i_0_3739,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X2)),number_number_of_int(X3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),number_number_of_int(X3))),hAPP_int_int(times_times_int(X2),number_number_of_int(X3))),
inference(split_conjunct,[status(thm)],[i_0_2244]),
[final] ).
cnf(i_0_3740,plain,
( hBOOL(member_int(X1,d22set(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2245]),
[final] ).
cnf(i_0_3741,plain,
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X4)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X4)),hAPP_real_real(times_times_real(X2),X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2049]),
[final] ).
cnf(i_0_3742,plain,
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X4)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X4)),hAPP_real_real(times_times_real(X2),X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2047]),
[final] ).
cnf(i_0_3743,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X4)),hAPP_nat_nat(times_times_nat(X2),X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2050]),
[final] ).
cnf(i_0_3744,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X4)),hAPP_nat_nat(times_times_nat(X2),X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2048]),
[final] ).
cnf(i_0_3745,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X2),X3)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2246]),
[final] ).
cnf(i_0_3746,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X3),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2247]),
[final] ).
cnf(i_0_3747,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2248]),
[final] ).
cnf(i_0_3748,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2249]),
[final] ).
cnf(i_0_3749,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2193]),
[final] ).
cnf(i_0_3750,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2250]),
[final] ).
cnf(i_0_3751,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2251]),
[final] ).
cnf(i_0_3752,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2252]),
[final] ).
cnf(i_0_3753,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2253]),
[final] ).
cnf(i_0_3754,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),X3)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2254]),
[final] ).
cnf(i_0_3755,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X3),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2255]),
[final] ).
cnf(i_0_3756,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2256]),
[final] ).
cnf(i_0_3757,plain,
hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X4)) = hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(X1),X3)),hAPP_real_real(minus_minus_real(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2257]),
[final] ).
cnf(i_0_3758,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X3),X4)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2258]),
[final] ).
cnf(i_0_3759,plain,
hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X4)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X1),X3)),hAPP_real_real(plus_plus_real(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2259]),
[final] ).
cnf(i_0_3760,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X3),X4)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2260]),
[final] ).
cnf(i_0_3761,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2261]),
[final] ).
cnf(i_0_3762,plain,
hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X1),X2)),hAPP_int_int(minus_minus_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2262,c_0_1515]),c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3763,plain,
hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X4)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X1),X3)),hAPP_int_int(minus_minus_int(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2263]),
[final] ).
cnf(i_0_3764,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X3),X4)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2264]),
[final] ).
cnf(i_0_3765,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2265,c_0_1515]),c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3766,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X4)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X3)),hAPP_int_int(plus_plus_int(X2),X4)),
inference(split_conjunct,[status(thm)],[i_0_2266]),
[final] ).
cnf(i_0_3767,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X3),X4)) = hAPP_real_real(times_times_real(X1),hAPP_real_real(times_times_real(X2),hAPP_real_real(times_times_real(X3),X4))),
inference(split_conjunct,[status(thm)],[i_0_2267]),
[final] ).
cnf(i_0_3768,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X3),X4)) = hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(times_times_nat(X3),X4))),
inference(split_conjunct,[status(thm)],[i_0_2268]),
[final] ).
cnf(i_0_3769,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X3),X4)) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X3),X4))),
inference(split_conjunct,[status(thm)],[i_0_2269]),
[final] ).
cnf(i_0_3770,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(div_mod_int(X2),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2169]),
[final] ).
cnf(i_0_3771,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(div_mod_int(X2),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2270]),
[final] ).
cnf(i_0_3772,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X2),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2198]),
[final] ).
cnf(i_0_3773,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2201]),
[final] ).
cnf(i_0_3774,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2200]),
[final] ).
cnf(i_0_3775,plain,
( hAPP_int_int(div_mod_int(X1),X2) = X1
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2271]),
[final] ).
cnf(i_0_3776,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X2),hAPP_nat_real(power_power_real(X2),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2272]),
[final] ).
cnf(i_0_3777,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),hAPP_nat_nat(power_power_nat(X2),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2273]),
[final] ).
cnf(i_0_3778,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),hAPP_nat_int(power_power_int(X2),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2274]),
[final] ).
cnf(i_0_3779,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X3),X2) != hAPP_nat_nat(plus_plus_nat(X1),X4) ),
inference(split_conjunct,[status(thm)],[i_0_2275]),
[final] ).
cnf(i_0_3780,plain,
( hAPP_int_int(div_mod_int(X1),X2) = X1
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2276]),
[final] ).
cnf(i_0_3781,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2277]),
[final] ).
cnf(i_0_3782,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2278]),
[final] ).
cnf(i_0_3783,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(X1),X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2279]),
[final] ).
cnf(i_0_3784,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2204]),
[final] ).
cnf(i_0_3785,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2205]),
[final] ).
cnf(i_0_3786,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2280]),
[final] ).
cnf(i_0_3787,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2120]),
[final] ).
cnf(i_0_3788,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X2),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2120]),
[final] ).
cnf(i_0_3789,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2281]),
[final] ).
cnf(i_0_3790,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2282]),
[final] ).
cnf(i_0_3791,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(X1),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)) ),
inference(rw,[status(thm)],[i_0_2283,c_0_1515]),
[final] ).
cnf(i_0_3792,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(plus_plus_int(X1),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1)) ),
inference(rw,[status(thm)],[i_0_2284,c_0_1515]),
[final] ).
cnf(i_0_3793,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2285]),
[final] ).
cnf(i_0_3794,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(X1),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(rw,[status(thm)],[i_0_2286,c_0_1515]),
[final] ).
cnf(i_0_3795,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),hAPP_int_int(plus_plus_int(X1),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),X1)) ),
inference(rw,[status(thm)],[i_0_2287,c_0_1515]),
[final] ).
cnf(i_0_3796,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2288]),
[final] ).
cnf(i_0_3797,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2289]),
[final] ).
cnf(i_0_3798,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2175]),
[final] ).
cnf(i_0_3799,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X2),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rw,[status(thm)],[i_0_2290,c_0_1610]),
[final] ).
cnf(i_0_3800,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X2),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2291]),
[final] ).
cnf(i_0_3801,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_nat_int(power_power_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2292]),
[final] ).
cnf(i_0_3802,plain,
( X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2293]),
[final] ).
cnf(i_0_3803,plain,
( hBOOL(hAPP_int_bool(zcong(X1,X3),X2))
| hAPP_int_int(div_mod_int(X1),X2) != hAPP_int_int(div_mod_int(X3),X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2224]),
[final] ).
cnf(i_0_3804,plain,
( hBOOL(hAPP_int_bool(zcong(X2,X3),X1))
| hAPP_int_int(div_mod_int(X2),X1) != hAPP_int_int(div_mod_int(X3),X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2294,c_0_1610]),c_0_1610]),
[final] ).
cnf(i_0_3805,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk17_2(X1,X2)),X1))
| hBOOL(hAPP_nat_bool(X2,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2105]),
[final] ).
cnf(i_0_3806,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk31_2(X1,X2)),X1))
| hBOOL(hAPP_nat_bool(X2,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2183]),
[final] ).
cnf(i_0_3807,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2295]),
[final] ).
cnf(i_0_3808,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2121]),
[final] ).
cnf(i_0_3809,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2296]),
[final] ).
cnf(i_0_3810,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2297]),
[final] ).
cnf(i_0_3811,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2298]),
[final] ).
cnf(i_0_3812,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2299]),
[final] ).
cnf(i_0_3813,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2300]),
[final] ).
cnf(i_0_3814,plain,
( is_int(esk10_3(X1,X2,X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2083]),
[final] ).
cnf(i_0_3815,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| epred1_3(X2,X3,X1)
| ~ hBOOL(hAPP_int_bool(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3816,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,esk8_1(X1)),X1))
| hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2219]),
[final] ).
cnf(i_0_3817,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2301]),
[final] ).
cnf(i_0_3818,plain,
( X1 = X2
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2302]),
[final] ).
cnf(i_0_3819,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2303]),
[final] ).
cnf(i_0_3820,plain,
( X2 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2304]),
[final] ).
cnf(i_0_3821,plain,
( X2 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2305]),
[final] ).
cnf(i_0_3822,plain,
( X2 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2306]),
[final] ).
cnf(i_0_3823,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2307]),
[final] ).
cnf(i_0_3824,plain,
( X2 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2308]),
[final] ).
cnf(i_0_3825,plain,
( X2 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2309]),
[final] ).
cnf(i_0_3826,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2310]),
[final] ).
cnf(i_0_3827,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2311]),
[final] ).
cnf(i_0_3828,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2312]),
[final] ).
cnf(i_0_3829,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2313]),
[final] ).
cnf(i_0_3830,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(X1,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2314]),
[final] ).
cnf(i_0_3831,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| is_int(esk39_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3832,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| is_int(esk38_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3833,plain,
( is_int(esk41_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3834,plain,
( is_int(esk40_3(X1,X2,X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3835,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2315]),
[final] ).
cnf(i_0_3836,plain,
( epred1_3(X1,X2,X3)
| ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(div_mod_int(X2),X3)))
| ~ is_int(X2)
| ~ is_int(X3) ),
inference(split_conjunct,[status(thm)],[i_0_2316]),
[final] ).
cnf(i_0_3837,plain,
( hAPP_nat_nat(div_mod_nat(X2),X1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2317]),
[final] ).
cnf(i_0_3838,plain,
hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(div_mod_int(X1),X2)),X2)),
inference(rw,[status(thm)],[i_0_2318,c_0_1610]),
[final] ).
cnf(i_0_3839,plain,
hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(div_mod_int(X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[i_0_2319]),
[final] ).
cnf(i_0_3840,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2295]),
[final] ).
cnf(i_0_3841,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2298]),
[final] ).
cnf(i_0_3842,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2182]),
[final] ).
cnf(i_0_3843,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2296]),
[final] ).
cnf(i_0_3844,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2297]),
[final] ).
cnf(i_0_3845,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2299]),
[final] ).
cnf(i_0_3846,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2300]),
[final] ).
cnf(i_0_3847,plain,
( X1 != zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2320]),
[final] ).
cnf(i_0_3848,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X1,X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1988]),
[final] ).
cnf(i_0_3849,plain,
( hBOOL(hAPP_nat_bool(X4,X3))
| X1 != hAPP_nat_nat(plus_plus_nat(X2),X3)
| ~ hBOOL(hAPP_nat_bool(X4,hAPP_nat_nat(minus_minus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1887]),
[final] ).
cnf(i_0_3850,plain,
( hBOOL(hAPP_nat_bool(X4,X3))
| X1 != hAPP_nat_nat(plus_plus_nat(X2),X3)
| ~ hBOOL(hAPP_nat_bool(X4,hAPP_nat_nat(minus_minus_nat(X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1888]),
[final] ).
cnf(i_0_3851,plain,
hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X3),X2)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2321]),
[final] ).
cnf(i_0_3852,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X3),X2)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2322]),
[final] ).
cnf(i_0_3853,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X3),X2)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2323]),
[final] ).
cnf(i_0_3854,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(X1),X2)),X3) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X1),X3)),hAPP_nat_real(power_power_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2324]),
[final] ).
cnf(i_0_3855,plain,
hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(X1),X2)),X3) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X1),X3)),hAPP_nat_real(power_power_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2325]),
[final] ).
cnf(i_0_3856,plain,
hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X1),X2)),X3) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2326]),
[final] ).
cnf(i_0_3857,plain,
hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X1),X2)),X3) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2327]),
[final] ).
cnf(i_0_3858,plain,
hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X1),X2)),X3) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2328]),
[final] ).
cnf(i_0_3859,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(div_mod_nat(X1),X2)),X3) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2329]),
[final] ).
cnf(i_0_3860,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2330]),
[final] ).
cnf(i_0_3861,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2331]),
[final] ).
cnf(i_0_3862,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2332]),
[final] ).
cnf(i_0_3863,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2333]),
[final] ).
cnf(i_0_3864,plain,
hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2334]),
[final] ).
cnf(i_0_3865,plain,
hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2335]),
[final] ).
cnf(i_0_3866,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(X1),X2)),X3) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2336]),
[final] ).
cnf(i_0_3867,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(X1),X2)),X3) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2337]),
[final] ).
cnf(i_0_3868,plain,
hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X1),X2)),X3) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2338]),
[final] ).
cnf(i_0_3869,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X1)),X2) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2339,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3870,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X2)),X3) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2340]),
[final] ).
cnf(i_0_3871,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X2)),X3) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2341]),
[final] ).
cnf(i_0_3872,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X2)),X3) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2342]),
[final] ).
cnf(i_0_3873,plain,
( hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X2)),number_number_of_nat(X1)) = number_number_of_nat(X2)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2343]),
[final] ).
cnf(i_0_3874,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[i_0_2344]),
[final] ).
cnf(i_0_3875,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[i_0_2345]),
[final] ).
cnf(i_0_3876,plain,
( X1 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(times_times_int(X2),X2)) != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2346]),
[final] ).
cnf(i_0_3877,plain,
( X1 = zero_zero_int
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X2)),hAPP_int_int(times_times_int(X1),X1)) != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2346]),
[final] ).
cnf(i_0_3878,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2182]),
[final] ).
cnf(i_0_3879,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk8_1(X1)))
| hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2219]),
[final] ).
cnf(i_0_3880,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X2)),number_number_of_nat(X1)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X2),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2343]),
[final] ).
cnf(i_0_3881,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2347]),
[final] ).
cnf(i_0_3882,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2348]),
[final] ).
cnf(i_0_3883,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),zero_zero_real)) ),
inference(split_conjunct,[status(thm)],[i_0_2349]),
[final] ).
cnf(i_0_3884,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2350]),
[final] ).
cnf(i_0_3885,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X2)),number267125858f_real(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2145]),
[final] ).
cnf(i_0_3886,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X2)),number_number_of_nat(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2146]),
[final] ).
cnf(i_0_3887,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X2)),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2147]),
[final] ).
cnf(i_0_3888,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),one_one_nat)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2351]),
[final] ).
cnf(i_0_3889,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2352]),
[final] ).
cnf(i_0_3890,plain,
( hAPP_int_int(div_mod_int(number_number_of_int(X2)),number_number_of_int(X1)) = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2353]),
[final] ).
cnf(i_0_3891,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),hAPP_int_int(minus_minus_int(X1),X3)))
| hAPP_int_int(div_mod_int(X1),X2) != hAPP_int_int(div_mod_int(X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2225]),
[final] ).
cnf(i_0_3892,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2354]),
[final] ).
cnf(i_0_3893,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2355]),
[final] ).
cnf(i_0_3894,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X2),X2)),hAPP_real_real(times_times_real(X1),X1)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2354]),
[final] ).
cnf(i_0_3895,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X2),X2)),hAPP_real_real(times_times_real(X1),X1)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2355]),
[final] ).
cnf(i_0_3896,plain,
( X1 = X2
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2356]),
[final] ).
cnf(i_0_3897,plain,
( X1 = X2
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2357]),
[final] ).
cnf(i_0_3898,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),zero_zero_real))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2347]),
[final] ).
cnf(i_0_3899,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),zero_zero_real))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2349]),
[final] ).
cnf(i_0_3900,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2348]),
[final] ).
cnf(i_0_3901,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2350]),
[final] ).
cnf(i_0_3902,plain,
( X3 = zero_zero_int
| X1 = X2
| ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X3)
| X4 != X5
| hAPP_int_int(plus_plus_int(X4),hAPP_int_int(times_times_int(X3),X1)) != hAPP_int_int(plus_plus_int(X5),hAPP_int_int(times_times_int(X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2358]),
[final] ).
cnf(i_0_3903,plain,
( hBOOL(hAPP_int_bool(zcong(X2,X1),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2359]),
[final] ).
cnf(i_0_3904,plain,
( hBOOL(hAPP_int_bool(zcong(X2,X1),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_2359]),
[final] ).
cnf(i_0_3905,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,esk22_1(X1)),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2360]),
[final] ).
cnf(i_0_3906,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2357]),
[final] ).
cnf(i_0_3907,plain,
( hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),hAPP_nat_nat(times_times_nat(number_number_of_nat(X2)),X3)) = zero_zero_nat
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2150]),
[final] ).
cnf(i_0_3908,plain,
( hBOOL(hAPP_int_bool(X1,hAPP_int_int(div_mod_int(X2),X3)))
| ~ epred1_3(X1,X2,X3)
| ~ is_int(X2)
| ~ is_int(X3) ),
inference(split_conjunct,[status(thm)],[i_0_2316]),
[final] ).
cnf(i_0_3909,plain,
( hBOOL(hAPP_nat_bool(X2,X3))
| X1 != zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(X2,hAPP_nat_nat(div_mod_nat(X3),X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3910,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X1 = zero_zero_int
| epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_3911,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2361]),
[final] ).
cnf(i_0_3912,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2362]),
[final] ).
cnf(i_0_3913,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2363]),
[final] ).
cnf(i_0_3914,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2364]),
[final] ).
cnf(i_0_3915,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2365]),
[final] ).
cnf(i_0_3916,plain,
( X1 = X2
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2366]),
[final] ).
cnf(i_0_3917,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2367]),
[final] ).
cnf(i_0_3918,plain,
( X1 = X2
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2368]),
[final] ).
cnf(i_0_3919,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2369]),
[final] ).
cnf(i_0_3920,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2370]),
[final] ).
cnf(i_0_3921,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2371]),
[final] ).
cnf(i_0_3922,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2372]),
[final] ).
cnf(i_0_3923,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2373]),
[final] ).
cnf(i_0_3924,plain,
( X2 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2374]),
[final] ).
cnf(i_0_3925,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2366]),
[final] ).
cnf(i_0_3926,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2367]),
[final] ).
cnf(i_0_3927,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2375]),
[final] ).
cnf(i_0_3928,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2376]),
[final] ).
cnf(i_0_3929,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2370]),
[final] ).
cnf(i_0_3930,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2371]),
[final] ).
cnf(i_0_3931,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2377]),
[final] ).
cnf(i_0_3932,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2378]),
[final] ).
cnf(i_0_3933,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2377]),
[final] ).
cnf(i_0_3934,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2378]),
[final] ).
cnf(i_0_3935,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2379]),
[final] ).
cnf(i_0_3936,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2380]),
[final] ).
cnf(i_0_3937,plain,
hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)) = hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2381]),
[final] ).
cnf(i_0_3938,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)) = hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2382]),
[final] ).
cnf(i_0_3939,plain,
hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)) = hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2383]),
[final] ).
cnf(i_0_3940,plain,
hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2384]),
[final] ).
cnf(i_0_3941,plain,
hAPP_real_real(times_times_real(X1),hAPP_real_real(plus_plus_real(X2),X3)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2385]),
[final] ).
cnf(i_0_3942,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(div_mod_nat(X2),X3)) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2386]),
[final] ).
cnf(i_0_3943,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X3)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2387]),
[final] ).
cnf(i_0_3944,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2388]),
[final] ).
cnf(i_0_3945,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2389]),
[final] ).
cnf(i_0_3946,plain,
hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2390]),
[final] ).
cnf(i_0_3947,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2391]),
[final] ).
cnf(i_0_3948,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2392]),
[final] ).
cnf(i_0_3949,plain,
hAPP_int_int(times_times_int(X1),hAPP_int_int(minus_minus_int(X2),X3)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2393]),
[final] ).
cnf(i_0_3950,plain,
hAPP_int_int(times_times_int(X1),hAPP_int_int(plus_plus_int(X2),X3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2394]),
[final] ).
cnf(i_0_3951,plain,
hAPP_int_int(times_times_int(X1),hAPP_int_int(plus_plus_int(X2),X3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2395]),
[final] ).
cnf(i_0_3952,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2396]),
[final] ).
cnf(i_0_3953,plain,
hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X1),X2)),X3) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2397]),
[final] ).
cnf(i_0_3954,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2398]),
[final] ).
cnf(i_0_3955,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2399]),
[final] ).
cnf(i_0_3956,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2400]),
[final] ).
cnf(i_0_3957,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X3) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2401]),
[final] ).
cnf(i_0_3958,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X3) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X3)),X2),
inference(split_conjunct,[status(thm)],[i_0_2402]),
[final] ).
cnf(i_0_3959,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2361]),
[final] ).
cnf(i_0_3960,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2364]),
[final] ).
cnf(i_0_3961,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2362]),
[final] ).
cnf(i_0_3962,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2363]),
[final] ).
cnf(i_0_3963,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2365]),
[final] ).
cnf(i_0_3964,plain,
( hBOOL(member_int(X1,wset(X1,X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2403]),
[final] ).
cnf(i_0_3965,plain,
( X1 = zero_zero_real
| X4 = X5
| X2 != X3
| hAPP_real_real(plus_plus_real(X2),hAPP_real_real(times_times_real(X1),X4)) != hAPP_real_real(plus_plus_real(X3),hAPP_real_real(times_times_real(X1),X5)) ),
inference(split_conjunct,[status(thm)],[i_0_2404]),
[final] ).
cnf(i_0_3966,plain,
( X1 = zero_zero_nat
| X4 = X5
| X2 != X3
| hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(times_times_nat(X1),X4)) != hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(times_times_nat(X1),X5)) ),
inference(split_conjunct,[status(thm)],[i_0_2405]),
[final] ).
cnf(i_0_3967,plain,
( hBOOL(hAPP_int_bool(zcong(X3,X2),X4))
| ~ is_int(X1)
| X2 != hAPP_int_int(plus_plus_int(X3),hAPP_int_int(times_times_int(X4),X1))
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2083]),
[final] ).
cnf(i_0_3968,plain,
( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X1))
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2406]),
[final] ).
cnf(i_0_3969,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(member_int(X2,d22set(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_2407]),
[final] ).
cnf(i_0_3970,plain,
hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X2)),X2) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X1),one_one_real)),X2),
inference(split_conjunct,[status(thm)],[i_0_2408]),
[final] ).
cnf(i_0_3971,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X2) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),one_one_nat)),X2),
inference(split_conjunct,[status(thm)],[i_0_2409]),
[final] ).
cnf(i_0_3972,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),X2) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),X2),
inference(split_conjunct,[status(thm)],[i_0_2410]),
[final] ).
cnf(i_0_3973,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2411]),
[final] ).
cnf(i_0_3974,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2412]),
[final] ).
cnf(i_0_3975,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2413]),
[final] ).
cnf(i_0_3976,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2413]),
[final] ).
cnf(i_0_3977,plain,
( hAPP_nat_nat(minus_minus_nat(X2),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2414]),
[final] ).
cnf(i_0_3978,plain,
( hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2415]),
[final] ).
cnf(i_0_3979,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_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_2163]),
[final] ).
cnf(i_0_3980,hypothesis,
( is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1))
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2416,c_0_1516]),
[final] ).
cnf(i_0_3981,plain,
( X2 = X3
| hAPP_nat_real(power_power_real(X1),X2) != hAPP_nat_real(power_power_real(X1),X3)
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2417]),
[final] ).
cnf(i_0_3982,plain,
( X2 = X3
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| hAPP_nat_nat(times_times_nat(X1),X2) != hAPP_nat_nat(times_times_nat(X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2418]),
[final] ).
cnf(i_0_3983,plain,
( X2 = X3
| hAPP_nat_nat(times_times_nat(X1),X2) != hAPP_nat_nat(times_times_nat(X1),X3)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2419]),
[final] ).
cnf(i_0_3984,plain,
( X2 = X3
| hAPP_nat_nat(power_power_nat(X1),X2) != hAPP_nat_nat(power_power_nat(X1),X3)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2420]),
[final] ).
cnf(i_0_3985,plain,
( X2 = X3
| hAPP_nat_int(power_power_int(X1),X2) != hAPP_nat_int(power_power_int(X1),X3)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2421]),
[final] ).
cnf(i_0_3986,plain,
( hAPP_nat_nat(minus_minus_nat(X1),X3) = X2
| X1 != hAPP_nat_nat(plus_plus_nat(X2),X3)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2422]),
[final] ).
cnf(i_0_3987,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(X3),X2)
| hAPP_nat_nat(minus_minus_nat(X1),X2) != X3
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2422]),
[final] ).
cnf(i_0_3988,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,number_number_of_int(X2)),number_number_of_int(X1)))
| hAPP_int_int(div_mod_int(number_number_of_int(X1)),number_number_of_int(X2)) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_2353]),
[final] ).
cnf(i_0_3989,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| zfact(X1) = hAPP_int_int(times_times_int(X1),zfact(hAPP_int_int(minus_minus_int(X1),one_one_int))) ),
inference(split_conjunct,[status(thm)],[i_0_2423]),
[final] ).
cnf(i_0_3990,plain,
hAPP_int_int(minus_minus_int(pls),hAPP_int_int(plus_plus_int(X1),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(pls),X1)),hAPP_int_int(minus_minus_int(pls),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2424,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_3991,plain,
( X1 = X2
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2425]),
[final] ).
cnf(i_0_3992,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| X1 = X2
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2426]),
[final] ).
cnf(i_0_3993,plain,
( hAPP_nat_nat(plus_plus_nat(X1),esk32_2(X1,X2)) = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2314]),
[final] ).
cnf(i_0_3994,plain,
( X2 = hAPP_nat_nat(plus_plus_nat(X1),esk14_2(X1,X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2427]),
[final] ).
cnf(i_0_3995,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int)))
| X1 != X2
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2184]),
[final] ).
cnf(i_0_3996,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) != hAPP_int_int(plus_plus_int(X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2428,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3997,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X2)),X2) != hAPP_int_int(plus_plus_int(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2429,c_0_1515]),c_0_1516]),
[final] ).
cnf(i_0_3998,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| ~ hBOOL(hAPP_int_bool(X1,esk26_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1968]),
[final] ).
cnf(i_0_3999,plain,
( X1 = one_one_int
| hAPP_int_int(times_times_int(X1),X2) != one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2430]),
[final] ).
cnf(i_0_4000,plain,
( X1 = one_one_int
| hAPP_int_int(times_times_int(X2),X1) != one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2430]),
[final] ).
cnf(i_0_4001,plain,
( legendre(X2,X1) = one_one_int
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(quadRes(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2431]),
[final] ).
cnf(i_0_4002,plain,
( hBOOL(hAPP_nat_bool(X1,esk31_2(X2,X1)))
| hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2183]),
[final] ).
cnf(i_0_4003,plain,
( hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(X2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2343]),
[final] ).
cnf(i_0_4004,plain,
( hBOOL(hAPP_nat_bool(X2,hAPP_nat_nat(div_mod_nat(X3),X1)))
| X1 != zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_4005,plain,
number267125858f_real(hAPP_int_int(plus_plus_int(X1),X1)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(X1))),number267125858f_real(X1)),
inference(rw,[status(thm)],[i_0_2432,c_0_1515]),
[final] ).
cnf(i_0_4006,plain,
number_number_of_int(hAPP_int_int(plus_plus_int(X1),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(X1))),number_number_of_int(X1)),
inference(rw,[status(thm)],[i_0_2433,c_0_1515]),
[final] ).
cnf(i_0_4007,plain,
( is_int(esk8_1(X1))
| hBOOL(hAPP_int_bool(zprime,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2219]),
[final] ).
cnf(i_0_4008,plain,
number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)) = one_one_real,
inference(rw,[status(thm)],[i_0_2434,c_0_1516]),
[final] ).
cnf(i_0_4009,plain,
number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)) = one_one_real,
inference(rw,[status(thm)],[i_0_2435,c_0_1516]),
[final] ).
cnf(i_0_4010,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)) = one_one_nat,
inference(rw,[status(thm)],[i_0_2436,c_0_1516]),
[final] ).
cnf(i_0_4011,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)) = one_one_nat,
inference(rw,[status(thm)],[i_0_2437,c_0_1516]),
[final] ).
cnf(i_0_4012,plain,
number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)) = one_one_int,
inference(rw,[status(thm)],[i_0_2438,c_0_1516]),
[final] ).
cnf(i_0_4013,plain,
number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)) = one_one_int,
inference(rw,[status(thm)],[i_0_2439,c_0_1516]),
[final] ).
cnf(i_0_4014,plain,
one_one_real = number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),
inference(rw,[status(thm)],[i_0_2440,c_0_1516]),
[final] ).
cnf(i_0_4015,plain,
one_one_nat = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),
inference(rw,[status(thm)],[i_0_2441,c_0_1516]),
[final] ).
cnf(i_0_4016,plain,
one_one_int = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),
inference(rw,[status(thm)],[i_0_2442,c_0_1516]),
[final] ).
cnf(i_0_4017,plain,
one_one_int = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),
inference(rw,[status(thm)],[i_0_2443,c_0_1516]),
[final] ).
cnf(i_0_4018,plain,
( hAPP_int_int(div_mod_int(number_number_of_int(min)),X1) = hAPP_int_int(minus_minus_int(X1),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2444]),
[final] ).
cnf(i_0_4019,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_nat_real(power_power_real(X1),X2)))
| X1 != one_one_real ),
inference(split_conjunct,[status(thm)],[i_0_2272]),
[final] ).
cnf(i_0_4020,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(power_power_nat(X1),X2)))
| X1 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2273]),
[final] ).
cnf(i_0_4021,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_nat_int(power_power_int(X1),X2)))
| X1 != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_2274]),
[final] ).
cnf(i_0_4022,plain,
( X1 = X2
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2445]),
[final] ).
cnf(i_0_4023,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2446]),
[final] ).
cnf(i_0_4024,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2447]),
[final] ).
cnf(i_0_4025,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)) = hAPP_nat_nat(minus_minus_nat(X2),X3),
inference(split_conjunct,[status(thm)],[i_0_2448]),
[final] ).
cnf(i_0_4026,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)) = hAPP_nat_nat(minus_minus_nat(X1),X3),
inference(split_conjunct,[status(thm)],[i_0_2449]),
[final] ).
cnf(i_0_4027,plain,
hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X1),X2)),X3) = hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2450]),
[final] ).
cnf(i_0_4028,plain,
hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X1),X2)),X1) = hAPP_real_real(times_times_real(X1),hAPP_nat_real(power_power_real(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2451]),
[final] ).
cnf(i_0_4029,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3) = hAPP_real_real(times_times_real(X1),hAPP_real_real(times_times_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2452]),
[final] ).
cnf(i_0_4030,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3) = hAPP_real_real(times_times_real(X1),hAPP_real_real(times_times_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2453]),
[final] ).
cnf(i_0_4031,plain,
hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X1),X2)),X3) = hAPP_real_real(plus_plus_real(X1),hAPP_real_real(plus_plus_real(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2454]),
[final] ).
cnf(i_0_4032,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3) = hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2455]),
[final] ).
cnf(i_0_4033,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) = hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2456]),
[final] ).
cnf(i_0_4034,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) = hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2457]),
[final] ).
cnf(i_0_4035,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),X2)),X1) = hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(power_power_nat(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2458]),
[final] ).
cnf(i_0_4036,plain,
hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X1),X2)),X3) = hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2459]),
[final] ).
cnf(i_0_4037,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3) = hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2460]),
[final] ).
cnf(i_0_4038,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3) = hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2461]),
[final] ).
cnf(i_0_4039,plain,
hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),X2)),X3) = hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2462]),
[final] ).
cnf(i_0_4040,plain,
hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),X2)),X3) = hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2463]),
[final] ).
cnf(i_0_4041,plain,
hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),X2)),X1) = hAPP_int_int(times_times_int(X1),hAPP_nat_int(power_power_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2464]),
[final] ).
cnf(i_0_4042,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X3) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2465]),
[final] ).
cnf(i_0_4043,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X3) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2466]),
[final] ).
cnf(i_0_4044,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X3) = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2467]),
[final] ).
cnf(i_0_4045,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X3) = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_2468]),
[final] ).
cnf(i_0_4046,plain,
hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(times_times_nat(X2),X3)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2469]),
[final] ).
cnf(i_0_4047,plain,
hAPP_real_real(times_times_real(X1),hAPP_real_real(times_times_real(X2),X3)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2470]),
[final] ).
cnf(i_0_4048,plain,
hAPP_real_real(plus_plus_real(X1),hAPP_real_real(plus_plus_real(X2),X3)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2471]),
[final] ).
cnf(i_0_4049,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X2),X3)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2472]),
[final] ).
cnf(i_0_4050,plain,
hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(times_times_nat(X2),X3)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2473]),
[final] ).
cnf(i_0_4051,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2474]),
[final] ).
cnf(i_0_4052,plain,
hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(times_times_nat(X2),X3)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2475]),
[final] ).
cnf(i_0_4053,plain,
hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X2),X3)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2476]),
[final] ).
cnf(i_0_4054,plain,
hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X3),
inference(split_conjunct,[status(thm)],[i_0_2477]),
[final] ).
cnf(i_0_4055,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(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_2346]),
[final] ).
cnf(i_0_4056,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(times_times_int(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2478]),
[final] ).
cnf(i_0_4057,plain,
( hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = zero_zero_nat
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2478]),
[final] ).
cnf(i_0_4058,plain,
( hBOOL(hAPP_int_bool(zprime,X1))
| esk8_1(X1) != X1
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2219]),
[final] ).
cnf(i_0_4059,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2479]),
[final] ).
cnf(i_0_4060,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2480]),
[final] ).
cnf(i_0_4061,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2481]),
[final] ).
cnf(i_0_4062,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X1),X2))),
inference(split_conjunct,[status(thm)],[i_0_2482]),
[final] ).
cnf(i_0_4063,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X2),X1))),
inference(split_conjunct,[status(thm)],[i_0_2483]),
[final] ).
cnf(i_0_4064,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X1),X2))),
inference(split_conjunct,[status(thm)],[i_0_2484]),
[final] ).
cnf(i_0_4065,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X1))),
inference(split_conjunct,[status(thm)],[i_0_2485]),
[final] ).
cnf(i_0_4066,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(X1),X1))),
inference(split_conjunct,[status(thm)],[i_0_2486]),
[final] ).
cnf(i_0_4067,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))),
inference(split_conjunct,[status(thm)],[i_0_2487]),
[final] ).
cnf(i_0_4068,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(split_conjunct,[status(thm)],[i_0_2488]),
[final] ).
cnf(i_0_4069,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X1),X2))),
inference(split_conjunct,[status(thm)],[i_0_2489]),
[final] ).
cnf(i_0_4070,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),X1))),
inference(split_conjunct,[status(thm)],[i_0_2490]),
[final] ).
cnf(i_0_4071,plain,
( hBOOL(hAPP_int_bool(zprime,X1))
| esk8_1(X1) != one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2219]),
[final] ).
cnf(i_0_4072,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X2),X1) = hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(power_power_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),one_one_nat))) ),
inference(split_conjunct,[status(thm)],[i_0_2491]),
[final] ).
cnf(i_0_4073,plain,
( hAPP_int_int(times_times_int(X1),X2) = one_one_int
| X1 != one_one_int
| X2 != one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2430]),
[final] ).
cnf(i_0_4074,plain,
( hBOOL(hAPP_int_bool(zprime,esk22_1(X1)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2360]),
[final] ).
cnf(i_0_4075,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X2),X1)))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2204]),
[final] ).
cnf(i_0_4076,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X2),X1)))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2205]),
[final] ).
cnf(i_0_4077,plain,
hAPP_real_real(plus_plus_real(X1),hAPP_real_real(times_times_real(X2),X1)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X2),one_one_real)),X1),
inference(split_conjunct,[status(thm)],[i_0_2492]),
[final] ).
cnf(i_0_4078,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(times_times_nat(X2),X1)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X2),one_one_nat)),X1),
inference(split_conjunct,[status(thm)],[i_0_2493]),
[final] ).
cnf(i_0_4079,plain,
hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),X1)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X2),one_one_int)),X1),
inference(split_conjunct,[status(thm)],[i_0_2494]),
[final] ).
cnf(i_0_4080,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X1)))
| X1 = zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2320]),
[final] ).
cnf(i_0_4081,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(X1),X1))),
inference(split_conjunct,[status(thm)],[i_0_2495]),
[final] ).
cnf(i_0_4082,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X1),X1))),
inference(split_conjunct,[status(thm)],[i_0_2496]),
[final] ).
cnf(i_0_4083,plain,
( hBOOL(hAPP_int_bool(zcong(X1,X3),X2))
| hAPP_int_int(div_mod_int(X1),X2) != hAPP_int_int(div_mod_int(X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2497]),
[final] ).
cnf(i_0_4084,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2498]),
[final] ).
cnf(i_0_4085,plain,
( min = X1
| min != hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2499,c_0_1516]),
[final] ).
cnf(i_0_4086,plain,
( X1 = min
| hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) != min
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2500,c_0_1516]),
[final] ).
cnf(i_0_4087,plain,
( X1 = X2
| ~ hBOOL(hAPP_int_bool(zcong(X1,X2),zero_zero_int))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2501]),
[final] ).
cnf(i_0_4088,plain,
( hAPP_nat_nat(div_mod_nat(X1),X2) = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2502]),
[final] ).
cnf(i_0_4089,plain,
( hAPP_nat_nat(div_mod_nat(X1),X2) = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2379]),
[final] ).
cnf(i_0_4090,plain,
( is_int(esk23_2(X1,X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1988]),
[final] ).
cnf(i_0_4091,plain,
( hAPP_nat_nat(minus_minus_nat(X1),X2) = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2503]),
[final] ).
cnf(i_0_4092,plain,
( hAPP_nat_nat(minus_minus_nat(X1),X2) = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2504]),
[final] ).
cnf(i_0_4093,plain,
( hAPP_int_int(div_mod_int(X1),X2) = zero_zero_int
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(rw,[status(thm)],[i_0_2505,c_0_1610]),
[final] ).
cnf(i_0_4094,plain,
( hAPP_int_int(div_mod_int(X2),X1) = zero_zero_int
| ~ hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1)) ),
inference(rw,[status(thm)],[i_0_2506,c_0_1610]),
[final] ).
cnf(i_0_4095,plain,
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2)) = zero_zero_real
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2354]),
[final] ).
cnf(i_0_4096,plain,
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2)) = zero_zero_real
| X1 != zero_zero_real
| X2 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2355]),
[final] ).
cnf(i_0_4097,plain,
( X1 != X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2357]),
[final] ).
cnf(i_0_4098,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_2507]),
[final] ).
cnf(i_0_4099,plain,
( hBOOL(hAPP_int_bool(quadRes(X1),X2))
| legendre(X2,X1) = number_number_of_int(min)
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2431]),
[final] ).
cnf(i_0_4100,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),X2)) = X1 ),
inference(split_conjunct,[status(thm)],[i_0_2508]),
[final] ).
cnf(i_0_4101,plain,
( legendre(X1,X2) = zero_zero_int
| ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2431]),
[final] ).
cnf(i_0_4102,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) != pls,
inference(rw,[status(thm)],[i_0_2509,c_0_1516]),
[final] ).
cnf(i_0_4103,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) != zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2510]),
[final] ).
cnf(i_0_4104,plain,
pls != hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1),
inference(rw,[status(thm)],[i_0_2511,c_0_1516]),
[final] ).
cnf(i_0_4105,plain,
hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),number267125858f_real(X1)) = number267125858f_real(hAPP_int_int(plus_plus_int(X1),X1)),
inference(rw,[status(thm)],[i_0_2512,c_0_1515]),
[final] ).
cnf(i_0_4106,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),number_number_of_int(X1)) = number_number_of_int(hAPP_int_int(plus_plus_int(X1),X1)),
inference(rw,[status(thm)],[i_0_2513,c_0_1515]),
[final] ).
cnf(i_0_4107,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2514]),
[final] ).
cnf(i_0_4108,plain,
( hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2515]),
[final] ).
cnf(i_0_4109,plain,
( X1 != X2
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2366]),
[final] ).
cnf(i_0_4110,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2371]),
[final] ).
cnf(i_0_4111,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2446]),
[final] ).
cnf(i_0_4112,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_2446]),
[final] ).
cnf(i_0_4113,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_2516]),
[final] ).
cnf(i_0_4114,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2517]),
[final] ).
cnf(i_0_4115,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2518]),
[final] ).
cnf(i_0_4116,plain,
( is_int(esk22_1(X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2360]),
[final] ).
cnf(i_0_4117,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2219]),
[final] ).
cnf(i_0_4118,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2519]),
[final] ).
cnf(i_0_4119,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2520]),
[final] ).
cnf(i_0_4120,plain,
( number_number_of_nat(X1) = zero_zero_nat
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2521]),
[final] ).
cnf(i_0_4121,plain,
( zfact(X1) = one_one_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[i_0_2423]),
[final] ).
cnf(i_0_4122,plain,
( zero_zero_nat = number_number_of_nat(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)) ),
inference(split_conjunct,[status(thm)],[i_0_2522]),
[final] ).
cnf(i_0_4123,plain,
( hBOOL(hAPP_int_bool(X2,X3))
| X1 != zero_zero_int
| ~ epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_4124,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2523]),
[final] ).
cnf(i_0_4125,plain,
hAPP_real_real(times_times_real(X1),hAPP_real_real(times_times_real(X2),X3)) = hAPP_real_real(times_times_real(X2),hAPP_real_real(times_times_real(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2524]),
[final] ).
cnf(i_0_4126,plain,
hAPP_real_real(plus_plus_real(X1),hAPP_real_real(plus_plus_real(X2),X3)) = hAPP_real_real(plus_plus_real(X2),hAPP_real_real(plus_plus_real(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2525]),
[final] ).
cnf(i_0_4127,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X2),X3)) = hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(times_times_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2526]),
[final] ).
cnf(i_0_4128,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2527]),
[final] ).
cnf(i_0_4129,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)) = hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2528]),
[final] ).
cnf(i_0_4130,plain,
hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X2),X3)) = hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2529]),
[final] ).
cnf(i_0_4131,plain,
hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)) = hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2530]),
[final] ).
cnf(i_0_4132,plain,
hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)) = hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_2531]),
[final] ).
cnf(i_0_4133,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2532]),
[final] ).
cnf(i_0_4134,plain,
( X1 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2533]),
[final] ).
cnf(i_0_4135,plain,
( X1 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2534]),
[final] ).
cnf(i_0_4136,plain,
( X1 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2535]),
[final] ).
cnf(i_0_4137,plain,
( X1 = one_one_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_2536]),
[final] ).
cnf(i_0_4138,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_2537]),
[final] ).
cnf(i_0_4139,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_2538]),
[final] ).
cnf(i_0_4140,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_2539]),
[final] ).
cnf(i_0_4141,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2540]),
[final] ).
cnf(i_0_4142,plain,
( X1 = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2541]),
[final] ).
cnf(i_0_4143,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2542]),
[final] ).
cnf(i_0_4144,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2543]),
[final] ).
cnf(i_0_4145,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2544]),
[final] ).
cnf(i_0_4146,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2545]),
[final] ).
cnf(i_0_4147,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X2),X1))
| X1 != hAPP_real_real(times_times_real(X2),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2546]),
[final] ).
cnf(i_0_4148,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1))
| X1 != hAPP_nat_nat(times_times_nat(X2),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2547]),
[final] ).
cnf(i_0_4149,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| X1 != hAPP_nat_nat(plus_plus_nat(X2),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2427]),
[final] ).
cnf(i_0_4150,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1))
| X1 != hAPP_int_int(times_times_int(X2),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2548]),
[final] ).
cnf(i_0_4151,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2503]),
[final] ).
cnf(i_0_4152,plain,
( hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int ),
inference(rw,[status(thm)],[i_0_2549,c_0_1610]),
[final] ).
cnf(i_0_4153,plain,
( hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(X2),X1) != zero_zero_int ),
inference(rw,[status(thm)],[i_0_2550,c_0_1610]),
[final] ).
cnf(i_0_4154,plain,
( is_int(esk4_0)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(split_conjunct,[status(thm)],[i_0_1257]),
[final] ).
cnf(i_0_4155,plain,
( is_int(esk3_0)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(split_conjunct,[status(thm)],[i_0_1257]),
[final] ).
cnf(i_0_4156,plain,
( twoSqu1241645765sum2sq(product_Pair_int_int(esk18_1(X1),esk19_1(X1))) = X1
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2551]),
[final] ).
cnf(i_0_4157,plain,
hAPP_int_bool(cOMBS_int_bool_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_i68813070l_bool(X1,X3),hAPP_int_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_2552]),
[final] ).
cnf(i_0_4158,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
inference(split_conjunct,[status(thm)],[i_0_2553]),
[final] ).
cnf(i_0_4159,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)),
inference(split_conjunct,[status(thm)],[i_0_2554]),
[final] ).
cnf(i_0_4160,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)),
inference(split_conjunct,[status(thm)],[i_0_2555]),
[final] ).
cnf(i_0_4161,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)),
inference(split_conjunct,[status(thm)],[i_0_2556]),
[final] ).
cnf(i_0_4162,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min)),
inference(split_conjunct,[status(thm)],[i_0_2557]),
[final] ).
cnf(i_0_4163,plain,
hAPP_real_real(plus_plus_real(X1),X1) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),X1),
inference(split_conjunct,[status(thm)],[i_0_2558]),
[final] ).
cnf(i_0_4164,plain,
hAPP_nat_nat(plus_plus_nat(X1),X1) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)),X1),
inference(split_conjunct,[status(thm)],[i_0_2559]),
[final] ).
cnf(i_0_4165,plain,
hAPP_int_int(plus_plus_int(X1),X1) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),X1),
inference(split_conjunct,[status(thm)],[i_0_2560]),
[final] ).
cnf(i_0_4166,plain,
( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X3))
| ~ is_int(X1)
| ~ is_int(X2)
| twoSqu1241645765sum2sq(product_Pair_int_int(X1,X2)) != X3
| ~ is_int(X3) ),
inference(split_conjunct,[status(thm)],[i_0_2551]),
[final] ).
cnf(i_0_4167,plain,
( is_int(esk11_2(X1,X2))
| ~ hBOOL(hAPP_int_bool(quadRes(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1285]),
[final] ).
cnf(i_0_4168,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1) = X2,
inference(split_conjunct,[status(thm)],[i_0_2561]),
[final] ).
cnf(i_0_4169,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_2562]),
[final] ).
cnf(i_0_4170,plain,
( hBOOL(hAPP_int_bool(zcong(X1,X2),zero_zero_int))
| X1 != X2
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2501]),
[final] ).
cnf(i_0_4171,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) = min
| X1 != min
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2563,c_0_1516]),
[final] ).
cnf(i_0_4172,plain,
( min = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1)
| min != X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2564,c_0_1516]),
[final] ).
cnf(i_0_4173,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2565]),
[final] ).
cnf(i_0_4174,plain,
( X1 = hAPP_int_int(times_times_int(X2),esk34_2(X1,X2))
| hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2566]),
[final] ).
cnf(i_0_4175,plain,
( X1 = hAPP_int_int(times_times_int(X2),esk33_2(X1,X2))
| hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2567]),
[final] ).
cnf(i_0_4176,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2568]),
[final] ).
cnf(i_0_4177,plain,
hAPP_real_real(times_times_real(number267125858f_real(X1)),number267125858f_real(X2)) = number267125858f_real(hAPP_int_int(times_times_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2569]),
[final] ).
cnf(i_0_4178,plain,
hAPP_real_real(plus_plus_real(number267125858f_real(X1)),number267125858f_real(X2)) = number267125858f_real(hAPP_int_int(plus_plus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2570]),
[final] ).
cnf(i_0_4179,plain,
hAPP_int_int(times_times_int(number_number_of_int(X1)),number_number_of_int(X2)) = number_number_of_int(hAPP_int_int(times_times_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2571]),
[final] ).
cnf(i_0_4180,plain,
hAPP_int_int(times_times_int(number_number_of_int(X1)),number_number_of_int(X2)) = number_number_of_int(hAPP_int_int(times_times_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2572]),
[final] ).
cnf(i_0_4181,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(X1)),number_number_of_int(X2)) = number_number_of_int(hAPP_int_int(plus_plus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2573]),
[final] ).
cnf(i_0_4182,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(X1)),number_number_of_int(X2)) = number_number_of_int(hAPP_int_int(plus_plus_int(X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_2574]),
[final] ).
cnf(i_0_4183,plain,
number267125858f_real(hAPP_int_int(minus_minus_int(X1),X2)) = hAPP_real_real(minus_minus_real(number267125858f_real(X1)),number267125858f_real(X2)),
inference(split_conjunct,[status(thm)],[i_0_2575]),
[final] ).
cnf(i_0_4184,plain,
number267125858f_real(hAPP_int_int(times_times_int(X1),X2)) = hAPP_real_real(times_times_real(number267125858f_real(X1)),number267125858f_real(X2)),
inference(split_conjunct,[status(thm)],[i_0_2576]),
[final] ).
cnf(i_0_4185,plain,
number267125858f_real(hAPP_int_int(plus_plus_int(X1),X2)) = hAPP_real_real(plus_plus_real(number267125858f_real(X1)),number267125858f_real(X2)),
inference(split_conjunct,[status(thm)],[i_0_2577]),
[final] ).
cnf(i_0_4186,plain,
number_number_of_int(hAPP_int_int(minus_minus_int(X1),X2)) = hAPP_int_int(minus_minus_int(number_number_of_int(X1)),number_number_of_int(X2)),
inference(split_conjunct,[status(thm)],[i_0_2578]),
[final] ).
cnf(i_0_4187,plain,
number_number_of_int(hAPP_int_int(times_times_int(X1),X2)) = hAPP_int_int(times_times_int(number_number_of_int(X1)),number_number_of_int(X2)),
inference(split_conjunct,[status(thm)],[i_0_2579]),
[final] ).
cnf(i_0_4188,plain,
number_number_of_int(hAPP_int_int(plus_plus_int(X1),X2)) = hAPP_int_int(plus_plus_int(number_number_of_int(X1)),number_number_of_int(X2)),
inference(split_conjunct,[status(thm)],[i_0_2580]),
[final] ).
cnf(i_0_4189,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| number_number_of_nat(X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2521]),
[final] ).
cnf(i_0_4190,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| zero_zero_nat != number_number_of_nat(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2522]),
[final] ).
cnf(i_0_4191,plain,
( X1 = X2
| hAPP_int_int(plus_plus_int(X1),X1) != hAPP_int_int(plus_plus_int(X2),X2)
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2581,c_0_1515]),c_0_1515]),
[final] ).
cnf(i_0_4192,plain,
hAPP_int_bool(cOMBC_int_int_bool(X1,X2),X3) = hAPP_int_bool(hAPP_i1948725293t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_2582]),
[final] ).
cnf(i_0_4193,plain,
hAPP_i68813070l_bool(cOMBB_1652995168ol_int(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_int_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_2583]),
[final] ).
cnf(i_0_4194,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2367]),
[final] ).
cnf(i_0_4195,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2303]),
[final] ).
cnf(i_0_4196,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_2303]),
[final] ).
cnf(i_0_4197,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2304]),
[final] ).
cnf(i_0_4198,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2584]),
[final] ).
cnf(i_0_4199,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2312]),
[final] ).
cnf(i_0_4200,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_2312]),
[final] ).
cnf(i_0_4201,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2375]),
[final] ).
cnf(i_0_4202,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2370]),
[final] ).
cnf(i_0_4203,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_2585]),
[final] ).
cnf(i_0_4204,plain,
( X1 = hAPP_nat_nat(times_times_nat(X2),esk35_2(X1,X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2586]),
[final] ).
cnf(i_0_4205,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),one_one_int)),
inference(split_conjunct,[status(thm)],[i_0_2587]),
[final] ).
cnf(i_0_4206,plain,
( hBOOL(member_int(X2,X1))
| ~ hBOOL(hAPP_int_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2588]),
[final] ).
cnf(i_0_4207,plain,
( hBOOL(hAPP_int_bool(X2,X1))
| ~ hBOOL(member_int(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2588]),
[final] ).
cnf(i_0_4208,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),min)),min) = min,
inference(rw,[status(thm)],[i_0_2589,c_0_1516]),
[final] ).
cnf(i_0_4209,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(pls))),
inference(split_conjunct,[status(thm)],[fact_1064_number__of2]),
[final] ).
cnf(i_0_4210,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2590]),
[final] ).
cnf(i_0_4211,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2591]),
[final] ).
cnf(i_0_4212,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2592]),
[final] ).
cnf(i_0_4213,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2593]),
[final] ).
cnf(i_0_4214,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2594]),
[final] ).
cnf(i_0_4215,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2595]),
[final] ).
cnf(i_0_4216,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_2596]),
[final] ).
cnf(i_0_4217,plain,
hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X1)),
inference(split_conjunct,[status(thm)],[i_0_2597]),
[final] ).
cnf(i_0_4218,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat))
| X1 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2534]),
[final] ).
cnf(i_0_4219,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat))
| X1 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2536]),
[final] ).
cnf(i_0_4220,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2532]),
[final] ).
cnf(i_0_4221,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),zero_zero_nat))
| X1 = zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2542]),
[final] ).
cnf(i_0_4222,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),zero_zero_real)),
inference(split_conjunct,[status(thm)],[i_0_2598]),
[final] ).
cnf(i_0_4223,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_2599]),
[final] ).
cnf(i_0_4224,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_2600]),
[final] ).
cnf(i_0_4225,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),zero_zero_int)),
inference(split_conjunct,[status(thm)],[i_0_2601]),
[final] ).
cnf(i_0_4226,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2543]),
[final] ).
cnf(i_0_4227,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2540]),
[final] ).
cnf(i_0_4228,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_2602]),
[final] ).
cnf(i_0_4229,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1))
| X1 = one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2535]),
[final] ).
cnf(i_0_4230,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,one_one_real),X1)),
inference(split_conjunct,[status(thm)],[i_0_2603]),
[final] ).
cnf(i_0_4231,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1)),
inference(split_conjunct,[status(thm)],[i_0_2604]),
[final] ).
cnf(i_0_4232,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1)),
inference(split_conjunct,[status(thm)],[i_0_2605]),
[final] ).
cnf(i_0_4233,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(split_conjunct,[status(thm)],[i_0_2606]),
[final] ).
cnf(i_0_4234,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(split_conjunct,[status(thm)],[i_0_2607]),
[final] ).
cnf(i_0_4235,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),X1)),
inference(split_conjunct,[status(thm)],[i_0_2608]),
[final] ).
cnf(i_0_4236,plain,
( is_int(esk34_2(X1,X2))
| hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2566]),
[final] ).
cnf(i_0_4237,plain,
( is_int(esk33_2(X1,X2))
| hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2567]),
[final] ).
cnf(i_0_4238,plain,
( hAPP_int_int(div_mod_int(X2),X3) = zero_zero_int
| ~ is_int(X1)
| X2 != hAPP_int_int(times_times_int(X3),X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2567]),
[final] ).
cnf(i_0_4239,plain,
( X1 = X3
| X2 = zero_zero_real
| hAPP_real_real(times_times_real(X1),X2) != hAPP_real_real(times_times_real(X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2609]),
[final] ).
cnf(i_0_4240,plain,
( X1 = X3
| X2 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X1),X2) != hAPP_nat_nat(times_times_nat(X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2610]),
[final] ).
cnf(i_0_4241,plain,
( X2 = X3
| X1 = zero_zero_real
| hAPP_real_real(times_times_real(X1),X2) != hAPP_real_real(times_times_real(X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2611]),
[final] ).
cnf(i_0_4242,plain,
( X1 = zero_zero_nat
| X2 = X3
| hAPP_nat_nat(times_times_nat(X1),X2) != hAPP_nat_nat(times_times_nat(X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2612]),
[final] ).
cnf(i_0_4243,plain,
( X2 = X3
| X1 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X1),X2) != hAPP_nat_nat(times_times_nat(X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2613]),
[final] ).
cnf(i_0_4244,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
inference(split_conjunct,[status(thm)],[fact_531_rel__simps_I6_J]),
[final] ).
cnf(i_0_4245,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)),
inference(split_conjunct,[status(thm)],[fact_533_bin__less__0__simps_I2_J]),
[final] ).
cnf(i_0_4246,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_402_int__0__less__1]),
[final] ).
cnf(i_0_4247,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)),
inference(split_conjunct,[status(thm)],[fact_70_rel__simps_I19_J]),
[final] ).
cnf(i_0_4248,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),pls)),
inference(split_conjunct,[status(thm)],[fact_537_rel__simps_I23_J]),
[final] ).
cnf(i_0_4249,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),min)),
inference(split_conjunct,[status(thm)],[fact_526_rel__simps_I24_J]),
[final] ).
cnf(i_0_4250,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk7_0)),
inference(split_conjunct,[status(thm)],[i_0_1246]),
[final] ).
cnf(i_0_4251,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk6_0)),
inference(split_conjunct,[status(thm)],[i_0_1241]),
[final] ).
cnf(i_0_4252,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),s)),
inference(split_conjunct,[status(thm)],[fact_307_s0p]),
[final] ).
cnf(i_0_4253,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)),
inference(split_conjunct,[status(thm)],[fact_571_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J]),
[final] ).
cnf(i_0_4254,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)),
inference(split_conjunct,[status(thm)],[fact_585_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J]),
[final] ).
cnf(i_0_4255,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
inference(split_conjunct,[status(thm)],[fact_0_tpos]),
[final] ).
cnf(i_0_4256,plain,
( X1 = X2
| hAPP_nat_nat(minus_minus_nat(X1),X2) != zero_zero_nat
| hAPP_nat_nat(minus_minus_nat(X2),X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2614]),
[final] ).
cnf(i_0_4257,plain,
( X1 = X3
| hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2615]),
[final] ).
cnf(i_0_4258,plain,
( X2 = X3
| hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2616]),
[final] ).
cnf(i_0_4259,plain,
( X1 = hAPP_int_int(plus_plus_int(X3),X2)
| ~ is_int(X1)
| hAPP_int_int(minus_minus_int(X1),X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_2617]),
[final] ).
cnf(i_0_4260,plain,
( is_int(esk19_1(X1))
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2551]),
[final] ).
cnf(i_0_4261,plain,
( is_int(esk18_1(X1))
| ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2551]),
[final] ).
cnf(i_0_4262,plain,
( is_int(esk26_2(X1,X2))
| hBOOL(hAPP_int_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1968]),
[final] ).
cnf(i_0_4263,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X1),X2)) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2618]),
[final] ).
cnf(i_0_4264,plain,
( is_int(hAPP_int_int(div_mod_int(X2),X1))
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2619,c_0_1610]),
[final] ).
cnf(i_0_4265,plain,
( number_number_of_nat(X1) != zero_zero_nat
| hAPP_nat_int(power_power_int(X2),number_number_of_nat(X1)) != zero_zero_int
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2620]),
[final] ).
cnf(i_0_4266,plain,
( hAPP_nat_int(power_power_int(number_number_of_int(min)),X1) = one_one_int
| hAPP_nat_int(power_power_int(number_number_of_int(min)),X1) = number_number_of_int(min) ),
inference(split_conjunct,[status(thm)],[i_0_2621]),
[final] ).
cnf(i_0_4267,plain,
( hAPP_nat_nat(div_mod_nat(X1),X2) = zero_zero_nat
| X1 != hAPP_nat_nat(times_times_nat(X2),X3) ),
inference(split_conjunct,[status(thm)],[i_0_2586]),
[final] ).
cnf(i_0_4268,plain,
( X1 = number_number_of_int(min)
| X1 = one_one_int
| hAPP_int_int(times_times_int(X1),X2) != one_one_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2622]),
[final] ).
cnf(i_0_4269,plain,
( X1 = number_number_of_int(min)
| X1 = one_one_int
| hAPP_int_int(times_times_int(X2),X1) != one_one_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2622]),
[final] ).
cnf(i_0_4270,plain,
( X1 = number_number_of_int(min)
| X2 = one_one_int
| hAPP_int_int(times_times_int(X1),X2) != one_one_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2622]),
[final] ).
cnf(i_0_4271,plain,
( X1 = number_number_of_int(min)
| X2 = one_one_int
| hAPP_int_int(times_times_int(X2),X1) != one_one_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2622]),
[final] ).
cnf(i_0_4272,plain,
( X1 = zero_zero_int
| hAPP_nat_int(power_power_int(X1),number_number_of_nat(X2)) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2620]),
[final] ).
cnf(i_0_4273,hypothesis,
( is_int(hAPP_int_int(plus_plus_int(X1),X1))
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2623,c_0_1515]),
[final] ).
cnf(i_0_4274,plain,
( X1 = zero_zero_int
| X2 = zero_zero_int
| hAPP_int_int(times_times_int(X1),X2) != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2624]),
[final] ).
cnf(i_0_4275,plain,
( X1 = zero_zero_int
| X2 = zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2)
| hAPP_int_int(times_times_int(X1),X2) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_2625]),
[final] ).
cnf(i_0_4276,plain,
( X2 = zero_zero_int
| X1 = zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2)
| hAPP_int_int(times_times_int(X2),X1) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_2626]),
[final] ).
cnf(i_0_4277,plain,
( X2 = zero_zero_int
| X1 != hAPP_int_int(plus_plus_int(X1),X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2627]),
[final] ).
cnf(i_0_4278,plain,
( number_number_of_nat(X1) != zero_zero_nat
| hAPP_nat_real(power_power_real(X2),number_number_of_nat(X1)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2628]),
[final] ).
cnf(i_0_4279,plain,
( number_number_of_nat(X1) != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X2),number_number_of_nat(X1)) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2629]),
[final] ).
cnf(i_0_4280,plain,
( hAPP_int_int(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_2622]),
[final] ).
cnf(i_0_4281,plain,
( X1 = one_one_int
| X1 = number_number_of_int(min)
| ~ is_int(X1)
| hAPP_int_int(times_times_int(X1),X2) != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_2630]),
[final] ).
cnf(i_0_4282,plain,
( is_int(inv(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2631]),
[final] ).
cnf(i_0_4283,plain,
( is_int(legendre(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2632]),
[final] ).
cnf(i_0_4284,plain,
( is_int(multInv(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2633]),
[final] ).
cnf(i_0_4285,plain,
( X1 = zero_zero_real
| hAPP_nat_real(power_power_real(X1),number_number_of_nat(X2)) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2628]),
[final] ).
cnf(i_0_4286,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(X2)) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2629]),
[final] ).
cnf(i_0_4287,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) = hAPP_nat_nat(times_times_nat(X1),X3)
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2612]),
[final] ).
cnf(i_0_4288,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) = hAPP_nat_nat(times_times_nat(X1),X3)
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2613]),
[final] ).
cnf(i_0_4289,plain,
( hAPP_nat_nat(times_times_nat(X2),X1) = hAPP_nat_nat(times_times_nat(X3),X1)
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2610]),
[final] ).
cnf(i_0_4290,plain,
( X1 != zero_zero_nat
| hAPP_nat_int(power_power_int(X2),X1) != zero_zero_int
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2634]),
[final] ).
cnf(i_0_4291,plain,
( pls = X1
| pls != hAPP_int_int(plus_plus_int(X1),X1)
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2635,c_0_1515]),
[final] ).
cnf(i_0_4292,plain,
( X1 = pls
| hAPP_int_int(plus_plus_int(X1),X1) != pls
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2636,c_0_1515]),
[final] ).
cnf(i_0_4293,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| hAPP_nat_int(power_power_int(X1),X2) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_2637]),
[final] ).
cnf(i_0_4294,plain,
( X1 = zero_zero_int
| hAPP_nat_int(power_power_int(X1),X2) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2634]),
[final] ).
cnf(i_0_4295,plain,
( X1 = zero_zero_int
| hAPP_int_int(plus_plus_int(X1),X1) != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2638]),
[final] ).
cnf(i_0_4296,plain,
( number_number_of_nat(X2) = zero_zero_nat
| hAPP_nat_int(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_2620]),
[final] ).
cnf(i_0_4297,plain,
hAPP_real_real(times_times_real(X1),X2) = hAPP_real_real(times_times_real(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2639]),
[final] ).
cnf(i_0_4298,plain,
hAPP_real_real(times_times_real(X1),X2) = hAPP_real_real(times_times_real(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2640]),
[final] ).
cnf(i_0_4299,plain,
hAPP_real_real(plus_plus_real(X1),X2) = hAPP_real_real(plus_plus_real(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2641]),
[final] ).
cnf(i_0_4300,plain,
hAPP_nat_nat(times_times_nat(X1),X2) = hAPP_nat_nat(times_times_nat(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2642]),
[final] ).
cnf(i_0_4301,plain,
hAPP_nat_nat(times_times_nat(X1),X2) = hAPP_nat_nat(times_times_nat(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2643]),
[final] ).
cnf(i_0_4302,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2644]),
[final] ).
cnf(i_0_4303,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2645]),
[final] ).
cnf(i_0_4304,plain,
hAPP_int_int(times_times_int(X1),X2) = hAPP_int_int(times_times_int(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2646]),
[final] ).
cnf(i_0_4305,plain,
hAPP_int_int(times_times_int(X1),X2) = hAPP_int_int(times_times_int(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2647]),
[final] ).
cnf(i_0_4306,plain,
hAPP_int_int(plus_plus_int(X1),X2) = hAPP_int_int(plus_plus_int(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2648]),
[final] ).
cnf(i_0_4307,plain,
hAPP_int_int(plus_plus_int(X1),X2) = hAPP_int_int(plus_plus_int(X2),X1),
inference(split_conjunct,[status(thm)],[i_0_2649]),
[final] ).
cnf(i_0_4308,plain,
( hAPP_int_int(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_2622]),
[final] ).
cnf(i_0_4309,plain,
( X2 = hAPP_int_int(plus_plus_int(X2),X1)
| X1 != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2627]),
[final] ).
cnf(i_0_4310,plain,
( is_bool(member_int(X1,X2))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2650]),
[final] ).
cnf(i_0_4311,plain,
( is_bool(hAPP_int_bool(X2,X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2651]),
[final] ).
cnf(i_0_4312,plain,
( is_bool(hAPP_bool_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2652]),
[final] ).
cnf(i_0_4313,hypothesis,
( is_int(hAPP_int_int(X2,X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2653]),
[final] ).
cnf(i_0_4314,plain,
( hAPP_int_int(times_times_int(X1),X2) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2624]),
[final] ).
cnf(i_0_4315,plain,
( hAPP_int_int(times_times_int(X2),X1) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2624]),
[final] ).
cnf(i_0_4316,plain,
( X2 = one_one_nat
| X1 = zero_zero_nat
| X1 != hAPP_nat_nat(times_times_nat(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2654]),
[final] ).
cnf(i_0_4317,plain,
( X1 = zero_zero_real
| X2 = zero_zero_real
| hAPP_real_real(times_times_real(X1),X2) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2655]),
[final] ).
cnf(i_0_4318,plain,
( X1 = zero_zero_real
| X2 = zero_zero_real
| hAPP_real_real(times_times_real(X1),X2) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2656]),
[final] ).
cnf(i_0_4319,plain,
( X1 = zero_zero_real
| X2 = zero_zero_real
| hAPP_real_real(times_times_real(X1),X2) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2657]),
[final] ).
cnf(i_0_4320,plain,
( X1 = zero_zero_nat
| X2 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2658]),
[final] ).
cnf(i_0_4321,plain,
( X1 = zero_zero_nat
| X2 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2659]),
[final] ).
cnf(i_0_4322,plain,
( X1 = zero_zero_nat
| X2 = zero_zero_nat
| hAPP_nat_nat(times_times_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2660]),
[final] ).
cnf(i_0_4323,plain,
( X1 = one_one_nat
| X2 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X1),X2) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2661]),
[final] ).
cnf(i_0_4324,plain,
( X2 = zero_zero_nat
| hAPP_nat_nat(plus_plus_nat(X1),X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_2662]),
[final] ).
cnf(i_0_4325,plain,
( X2 = zero_zero_real
| X1 != hAPP_real_real(plus_plus_real(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2663]),
[final] ).
cnf(i_0_4326,plain,
( X2 = zero_zero_nat
| X1 != hAPP_nat_nat(plus_plus_nat(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2664]),
[final] ).
cnf(i_0_4327,plain,
( X1 != zero_zero_nat
| hAPP_nat_real(power_power_real(X2),X1) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2665]),
[final] ).
cnf(i_0_4328,plain,
( X1 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X2),X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2666]),
[final] ).
cnf(i_0_4329,plain,
( X1 != zero_zero_nat
| hAPP_nat_nat(power_power_nat(X2),X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2667]),
[final] ).
cnf(i_0_4330,plain,
( hAPP_int_int(plus_plus_int(number_number_of_int(pls)),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2668]),
[final] ).
cnf(i_0_4331,plain,
( X1 = zero_zero_real
| hAPP_nat_real(power_power_real(X1),X2) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2669]),
[final] ).
cnf(i_0_4332,plain,
( X1 = zero_zero_real
| hAPP_nat_real(power_power_real(X1),X2) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2665]),
[final] ).
cnf(i_0_4333,plain,
( X1 = zero_zero_real
| hAPP_real_real(plus_plus_real(X1),X1) != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2670]),
[final] ).
cnf(i_0_4334,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2666]),
[final] ).
cnf(i_0_4335,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2667]),
[final] ).
cnf(i_0_4336,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(plus_plus_nat(X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2671]),
[final] ).
cnf(i_0_4337,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(plus_plus_nat(X2),X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2671]),
[final] ).
cnf(i_0_4338,plain,
( X1 = one_one_nat
| hAPP_nat_nat(times_times_nat(X1),X2) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2672]),
[final] ).
cnf(i_0_4339,plain,
( X1 = one_one_nat
| hAPP_nat_nat(times_times_nat(X1),X2) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2673]),
[final] ).
cnf(i_0_4340,plain,
( X1 = one_one_nat
| hAPP_nat_nat(times_times_nat(X2),X1) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2672]),
[final] ).
cnf(i_0_4341,plain,
( X1 = one_one_nat
| hAPP_nat_nat(times_times_nat(X2),X1) != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2673]),
[final] ).
cnf(i_0_4342,plain,
( X1 = one_one_nat
| one_one_nat != hAPP_nat_nat(times_times_nat(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_2674]),
[final] ).
cnf(i_0_4343,plain,
( X1 = one_one_nat
| one_one_nat != hAPP_nat_nat(times_times_nat(X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_2674]),
[final] ).
cnf(i_0_4344,plain,
( number_number_of_nat(X2) = zero_zero_nat
| hAPP_nat_real(power_power_real(X1),number_number_of_nat(X2)) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2628]),
[final] ).
cnf(i_0_4345,plain,
( number_number_of_nat(X2) = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(X2)) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2629]),
[final] ).
cnf(i_0_4346,plain,
hAPP_int_int(plus_plus_int(X1),X1) != min,
inference(rw,[status(thm)],[i_0_2675,c_0_1515]),
[final] ).
cnf(i_0_4347,plain,
min != hAPP_int_int(plus_plus_int(X1),X1),
inference(rw,[status(thm)],[i_0_2676,c_0_1515]),
[final] ).
cnf(i_0_4348,plain,
( X2 = zero_zero_nat
| hAPP_nat_int(power_power_int(X1),X2) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2634]),
[final] ).
cnf(i_0_4349,plain,
( hAPP_int_int(plus_plus_int(X1),number_number_of_int(pls)) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2677]),
[final] ).
cnf(i_0_4350,plain,
( hAPP_nat_real(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_2678]),
[final] ).
cnf(i_0_4351,plain,
( hAPP_nat_nat(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_2679]),
[final] ).
cnf(i_0_4352,plain,
( hAPP_nat_int(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_2680]),
[final] ).
cnf(i_0_4353,plain,
is_bool(hAPP_real_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_2681]),
[final] ).
cnf(i_0_4354,plain,
is_bool(hAPP_nat_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_2682]),
[final] ).
cnf(i_0_4355,hypothesis,
is_int(hAPP_nat_int(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_2683]),
[final] ).
cnf(i_0_4356,plain,
( hAPP_int_int(plus_plus_int(X1),X1) = pls
| X1 != pls
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2684,c_0_1515]),
[final] ).
cnf(i_0_4357,plain,
( hAPP_int_int(plus_plus_int(X1),X1) = zero_zero_int
| X1 != zero_zero_int
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2638]),
[final] ).
cnf(i_0_4358,plain,
( pls = hAPP_int_int(plus_plus_int(X1),X1)
| pls != X1
| ~ is_int(X1) ),
inference(rw,[status(thm)],[i_0_2685,c_0_1515]),
[final] ).
cnf(i_0_4359,plain,
( X1 = X2
| number267125858f_real(X1) != number267125858f_real(X2)
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2686]),
[final] ).
cnf(i_0_4360,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_2687]),
[final] ).
cnf(i_0_4361,plain,
( number_number_of_nat(X1) = zero_zero_nat
| hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(X1)) = zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2678]),
[final] ).
cnf(i_0_4362,plain,
( number_number_of_nat(X1) = zero_zero_nat
| hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(X1)) = zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2679]),
[final] ).
cnf(i_0_4363,plain,
( number_number_of_nat(X1) = zero_zero_nat
| hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(X1)) = zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_2680]),
[final] ).
cnf(i_0_4364,plain,
hAPP_real_real(plus_plus_real(number267125858f_real(pls)),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2688]),
[final] ).
cnf(i_0_4365,plain,
( hAPP_nat_int(power_power_int(X1),one_one_nat) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2689]),
[final] ).
cnf(i_0_4366,plain,
( hAPP_nat_int(power_power_int(X1),one_one_nat) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2690]),
[final] ).
cnf(i_0_4367,plain,
( hAPP_int_int(minus_minus_int(X1),pls) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2691]),
[final] ).
cnf(i_0_4368,plain,
( hAPP_int_int(times_times_int(X1),one_one_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2692]),
[final] ).
cnf(i_0_4369,plain,
( hAPP_int_int(times_times_int(X1),one_one_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2693]),
[final] ).
cnf(i_0_4370,plain,
( hAPP_int_int(plus_plus_int(X1),pls) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2694]),
[final] ).
cnf(i_0_4371,plain,
( hAPP_int_int(plus_plus_int(X1),zero_zero_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2695]),
[final] ).
cnf(i_0_4372,plain,
( hAPP_int_int(plus_plus_int(X1),zero_zero_int) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2696]),
[final] ).
cnf(i_0_4373,plain,
( hAPP_int_int(times_times_int(one_one_int),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2697]),
[final] ).
cnf(i_0_4374,plain,
( hAPP_int_int(times_times_int(one_one_int),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2698]),
[final] ).
cnf(i_0_4375,plain,
( hAPP_int_int(plus_plus_int(pls),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2699]),
[final] ).
cnf(i_0_4376,plain,
( hAPP_int_int(plus_plus_int(zero_zero_int),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2700]),
[final] ).
cnf(i_0_4377,plain,
( hAPP_int_int(plus_plus_int(zero_zero_int),X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2701]),
[final] ).
cnf(i_0_4378,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) = one_one_nat
| X1 != one_one_nat
| X2 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2672]),
[final] ).
cnf(i_0_4379,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) = one_one_nat
| X1 != one_one_nat
| X2 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2673]),
[final] ).
cnf(i_0_4380,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) = zero_zero_nat
| X1 != zero_zero_nat
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2671]),
[final] ).
cnf(i_0_4381,plain,
( one_one_nat = hAPP_nat_nat(times_times_nat(X1),X2)
| X1 != one_one_nat
| X2 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2674]),
[final] ).
cnf(i_0_4382,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X2),X1) = zero_zero_nat
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2666]),
[final] ).
cnf(i_0_4383,plain,
( X2 = zero_zero_nat
| hAPP_nat_real(power_power_real(X1),X2) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2665]),
[final] ).
cnf(i_0_4384,plain,
( X2 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(X1),X2) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2667]),
[final] ).
cnf(i_0_4385,plain,
hAPP_real_real(plus_plus_real(X1),number267125858f_real(pls)) = X1,
inference(split_conjunct,[status(thm)],[i_0_2702]),
[final] ).
cnf(i_0_4386,plain,
( X2 = hAPP_real_real(plus_plus_real(X2),X1)
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2663]),
[final] ).
cnf(i_0_4387,plain,
( X2 = hAPP_nat_nat(plus_plus_nat(X2),X1)
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2664]),
[final] ).
cnf(i_0_4388,plain,
hAPP_int_int(div_mod_int(X1),number_number_of_int(min)) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2703]),
[final] ).
cnf(i_0_4389,plain,
( hAPP_real_real(times_times_real(X1),X2) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2655]),
[final] ).
cnf(i_0_4390,plain,
( hAPP_real_real(times_times_real(X2),X1) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2655]),
[final] ).
cnf(i_0_4391,plain,
( hAPP_real_real(plus_plus_real(X1),X1) = zero_zero_real
| X1 != zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2670]),
[final] ).
cnf(i_0_4392,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2658]),
[final] ).
cnf(i_0_4393,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2351]),
[final] ).
cnf(i_0_4394,plain,
( hAPP_nat_nat(times_times_nat(X2),X1) = zero_zero_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2658]),
[final] ).
cnf(i_0_4395,plain,
( hAPP_nat_nat(power_power_nat(X1),X2) = one_one_nat
| X1 != one_one_nat ),
inference(split_conjunct,[status(thm)],[i_0_2661]),
[final] ).
cnf(i_0_4396,plain,
( hAPP_nat_nat(power_power_nat(X2),X1) = one_one_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2661]),
[final] ).
cnf(i_0_4397,plain,
( hAPP_nat_nat(power_power_nat(X2),X1) = one_one_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2491]),
[final] ).
cnf(i_0_4398,plain,
hAPP_nat_nat(minus_minus_nat(X1),X1) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2704]),
[final] ).
cnf(i_0_4399,plain,
hAPP_int_int(div_mod_int(X1),X1) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2705]),
[final] ).
cnf(i_0_4400,plain,
( hAPP_nat_real(power_power_real(zero_zero_real),X1) = one_one_real
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2706]),
[final] ).
cnf(i_0_4401,plain,
( hAPP_nat_nat(power_power_nat(zero_zero_nat),X1) = one_one_nat
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2707]),
[final] ).
cnf(i_0_4402,plain,
( hAPP_nat_int(power_power_int(zero_zero_int),X1) = one_one_int
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2708]),
[final] ).
cnf(i_0_4403,plain,
hAPP_nat_real(power_power_real(X1),one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2709]),
[final] ).
cnf(i_0_4404,plain,
hAPP_nat_real(power_power_real(X1),one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2710]),
[final] ).
cnf(i_0_4405,plain,
hAPP_real_real(times_times_real(X1),one_one_real) = X1,
inference(split_conjunct,[status(thm)],[i_0_2711]),
[final] ).
cnf(i_0_4406,plain,
hAPP_real_real(plus_plus_real(X1),zero_zero_real) = X1,
inference(split_conjunct,[status(thm)],[i_0_2712]),
[final] ).
cnf(i_0_4407,plain,
hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2713]),
[final] ).
cnf(i_0_4408,plain,
hAPP_nat_nat(times_times_nat(X1),one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2714]),
[final] ).
cnf(i_0_4409,plain,
hAPP_nat_nat(times_times_nat(X1),one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2715]),
[final] ).
cnf(i_0_4410,plain,
hAPP_nat_nat(power_power_nat(X1),one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2716]),
[final] ).
cnf(i_0_4411,plain,
hAPP_nat_nat(power_power_nat(X1),one_one_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2717]),
[final] ).
cnf(i_0_4412,plain,
hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2718]),
[final] ).
cnf(i_0_4413,plain,
hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_2719]),
[final] ).
cnf(i_0_4414,plain,
( X1 = zero_zero_nat
| hAPP_nat_real(power_power_real(zero_zero_real),X1) = zero_zero_real ),
inference(split_conjunct,[status(thm)],[i_0_2706]),
[final] ).
cnf(i_0_4415,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(zero_zero_nat),X1) = zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_2707]),
[final] ).
cnf(i_0_4416,plain,
( X1 = zero_zero_nat
| hAPP_nat_int(power_power_int(zero_zero_int),X1) = zero_zero_int ),
inference(split_conjunct,[status(thm)],[i_0_2708]),
[final] ).
cnf(i_0_4417,plain,
hAPP_nat_real(power_power_real(X1),zero_zero_nat) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_2720]),
[final] ).
cnf(i_0_4418,plain,
hAPP_nat_real(power_power_real(X1),zero_zero_nat) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_2721]),
[final] ).
cnf(i_0_4419,plain,
hAPP_real_real(times_times_real(X1),zero_zero_real) = zero_zero_real,
inference(split_conjunct,[status(thm)],[i_0_2722]),
[final] ).
cnf(i_0_4420,plain,
hAPP_real_real(times_times_real(X1),zero_zero_real) = zero_zero_real,
inference(split_conjunct,[status(thm)],[i_0_2723]),
[final] ).
cnf(i_0_4421,plain,
hAPP_nat_nat(times_times_nat(X1),zero_zero_nat) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2724]),
[final] ).
cnf(i_0_4422,plain,
hAPP_nat_nat(times_times_nat(X1),zero_zero_nat) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2725]),
[final] ).
cnf(i_0_4423,plain,
hAPP_nat_nat(times_times_nat(X1),zero_zero_nat) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2726]),
[final] ).
cnf(i_0_4424,plain,
hAPP_nat_nat(power_power_nat(X1),zero_zero_nat) = one_one_nat,
inference(split_conjunct,[status(thm)],[i_0_2727]),
[final] ).
cnf(i_0_4425,plain,
hAPP_nat_nat(power_power_nat(X1),zero_zero_nat) = one_one_nat,
inference(split_conjunct,[status(thm)],[i_0_2728]),
[final] ).
cnf(i_0_4426,plain,
hAPP_nat_int(power_power_int(X1),zero_zero_nat) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_2729]),
[final] ).
cnf(i_0_4427,plain,
hAPP_nat_int(power_power_int(X1),zero_zero_nat) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_2730]),
[final] ).
cnf(i_0_4428,plain,
hAPP_int_int(times_times_int(X1),zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2731]),
[final] ).
cnf(i_0_4429,plain,
hAPP_int_int(times_times_int(X1),zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2732]),
[final] ).
cnf(i_0_4430,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2733]),
[final] ).
cnf(i_0_4431,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2734]),
[final] ).
cnf(i_0_4432,plain,
hAPP_real_real(plus_plus_real(zero_zero_real),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2735]),
[final] ).
cnf(i_0_4433,plain,
hAPP_nat_nat(times_times_nat(one_one_nat),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2736]),
[final] ).
cnf(i_0_4434,plain,
hAPP_nat_nat(times_times_nat(one_one_nat),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2737]),
[final] ).
cnf(i_0_4435,plain,
hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2738]),
[final] ).
cnf(i_0_4436,plain,
hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_2739]),
[final] ).
cnf(i_0_4437,hypothesis,
( is_int(number_number_of_int(X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2740]),
[final] ).
cnf(i_0_4438,plain,
( is_int(zfact(X1))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2741]),
[final] ).
cnf(i_0_4439,plain,
hAPP_nat_real(power_power_real(one_one_real),X1) = one_one_real,
inference(split_conjunct,[status(thm)],[i_0_2742]),
[final] ).
cnf(i_0_4440,plain,
hAPP_real_real(times_times_real(zero_zero_real),X1) = zero_zero_real,
inference(split_conjunct,[status(thm)],[i_0_2743]),
[final] ).
cnf(i_0_4441,plain,
hAPP_real_real(times_times_real(zero_zero_real),X1) = zero_zero_real,
inference(split_conjunct,[status(thm)],[i_0_2744]),
[final] ).
cnf(i_0_4442,plain,
hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X1) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2745]),
[final] ).
cnf(i_0_4443,plain,
hAPP_nat_nat(times_times_nat(zero_zero_nat),X1) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2746]),
[final] ).
cnf(i_0_4444,plain,
hAPP_nat_nat(times_times_nat(zero_zero_nat),X1) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2747]),
[final] ).
cnf(i_0_4445,plain,
hAPP_nat_nat(times_times_nat(zero_zero_nat),X1) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_2748]),
[final] ).
cnf(i_0_4446,plain,
hAPP_nat_nat(power_power_nat(one_one_nat),X1) = one_one_nat,
inference(split_conjunct,[status(thm)],[i_0_2749]),
[final] ).
cnf(i_0_4447,plain,
hAPP_nat_int(power_power_int(one_one_int),X1) = one_one_int,
inference(split_conjunct,[status(thm)],[i_0_2750]),
[final] ).
cnf(i_0_4448,plain,
hAPP_int_int(div_mod_int(zero_zero_int),X1) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2751]),
[final] ).
cnf(i_0_4449,plain,
hAPP_int_int(times_times_int(pls),X1) = pls,
inference(split_conjunct,[status(thm)],[i_0_2752]),
[final] ).
cnf(i_0_4450,plain,
hAPP_int_int(times_times_int(zero_zero_int),X1) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2753]),
[final] ).
cnf(i_0_4451,plain,
hAPP_int_int(times_times_int(zero_zero_int),X1) = zero_zero_int,
inference(split_conjunct,[status(thm)],[i_0_2754]),
[final] ).
cnf(i_0_4452,plain,
hAPP_int_int(plus_plus_int(pls),pls) = pls,
inference(rw,[status(thm)],[i_0_2755,c_0_1515]),
[final] ).
cnf(i_0_4453,plain,
( number_number_of_int(X1) = X1
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2756]),
[final] ).
cnf(i_0_4454,plain,
is_int(twoSqu1241645765sum2sq(X1)),
inference(split_conjunct,[status(thm)],[i_0_2757]),
[final] ).
cnf(i_0_4455,plain,
number_number_of_int(pls) != number_number_of_int(min),
inference(split_conjunct,[status(thm)],[fact_539_eq__number__of__Pls__Min]),
[final] ).
cnf(i_0_4456,plain,
is_int(undefined_int(int)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Int__Oint]),
[final] ).
cnf(i_0_4457,plain,
( is_int(esk2_0)
| t != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_1258]),
[final] ).
cnf(i_0_4458,plain,
( is_int(esk1_0)
| t != one_one_int ),
inference(split_conjunct,[status(thm)],[i_0_1258]),
[final] ).
cnf(i_0_4459,plain,
is_int(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_1244]),
[final] ).
cnf(i_0_4460,plain,
is_int(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_1246]),
[final] ).
cnf(i_0_4461,plain,
is_int(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_1241]),
[final] ).
cnf(i_0_4462,plain,
is_int(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_1245]),
[final] ).
cnf(i_0_4463,plain,
is_int(t),
inference(split_conjunct,[status(thm)],[gsy_v_t____]),
[final] ).
cnf(i_0_4464,plain,
is_int(s),
inference(split_conjunct,[status(thm)],[gsy_v_s____]),
[final] ).
cnf(i_0_4465,plain,
is_int(s1),
inference(split_conjunct,[status(thm)],[gsy_v_s1____]),
[final] ).
cnf(i_0_4466,hypothesis,
is_int(m),
inference(split_conjunct,[status(thm)],[gsy_v_m]),
[final] ).
cnf(i_0_4467,hypothesis,
is_int(pls),
inference(split_conjunct,[status(thm)],[gsy_c_Int_OPls]),
[final] ).
cnf(i_0_4468,plain,
is_int(min),
inference(split_conjunct,[status(thm)],[gsy_c_Int_OMin]),
[final] ).
cnf(i_0_4469,plain,
is_int(zero_zero_int),
inference(split_conjunct,[status(thm)],[gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint]),
[final] ).
cnf(i_0_4470,hypothesis,
is_int(one_one_int),
inference(split_conjunct,[status(thm)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]),
[final] ).
cnf(i_0_4471,plain,
number267125858f_real(pls) = zero_zero_real,
inference(split_conjunct,[status(thm)],[fact_397_semiring__numeral__0__eq__0]),
[final] ).
cnf(i_0_4472,plain,
number267125858f_real(pls) = zero_zero_real,
inference(split_conjunct,[status(thm)],[fact_394_number__of__Pls]),
[final] ).
cnf(i_0_4473,plain,
number_number_of_nat(pls) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_547_nat__number__of__Pls]),
[final] ).
cnf(i_0_4474,plain,
number_number_of_nat(pls) = zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_396_semiring__numeral__0__eq__0]),
[final] ).
cnf(i_0_4475,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_4476,plain,
number_number_of_int(pls) = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_393_number__of__Pls]),
[final] ).
cnf(i_0_4477,plain,
zero_zero_real = number267125858f_real(pls),
inference(split_conjunct,[status(thm)],[fact_392_semiring__norm_I112_J]),
[final] ).
cnf(i_0_4478,plain,
zero_zero_nat = number_number_of_nat(pls),
inference(split_conjunct,[status(thm)],[fact_548_semiring__norm_I113_J]),
[final] ).
cnf(i_0_4479,plain,
zero_zero_int = number_number_of_int(pls),
inference(split_conjunct,[status(thm)],[fact_401_zero__is__num__zero]),
[final] ).
cnf(i_0_4480,plain,
zero_zero_int = number_number_of_int(pls),
inference(split_conjunct,[status(thm)],[fact_391_semiring__norm_I112_J]),
[final] ).
cnf(i_0_4481,plain,
one_one_real != zero_zero_real,
inference(split_conjunct,[status(thm)],[fact_715_one__neq__zero]),
[final] ).
cnf(i_0_4482,plain,
zero_zero_real != one_one_real,
inference(split_conjunct,[status(thm)],[fact_712_zero__neq__one]),
[final] ).
cnf(i_0_4483,plain,
zero_zero_real != one_one_real,
inference(split_conjunct,[status(thm)],[fact_684_real__zero__not__eq__one]),
[final] ).
cnf(i_0_4484,plain,
one_one_nat != zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_716_one__neq__zero]),
[final] ).
cnf(i_0_4485,plain,
zero_zero_nat != one_one_nat,
inference(split_conjunct,[status(thm)],[fact_713_zero__neq__one]),
[final] ).
cnf(i_0_4486,plain,
min != pls,
inference(split_conjunct,[status(thm)],[fact_522_rel__simps_I40_J]),
[final] ).
cnf(i_0_4487,plain,
pls != min,
inference(split_conjunct,[status(thm)],[fact_521_rel__simps_I37_J]),
[final] ).
cnf(i_0_4488,plain,
one_one_int != zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_717_one__neq__zero]),
[final] ).
cnf(i_0_4489,plain,
zero_zero_int != one_one_int,
inference(split_conjunct,[status(thm)],[fact_714_zero__neq__one]),
[final] ).
cnf(i_0_4490,plain,
zero_zero_int != one_one_int,
inference(split_conjunct,[status(thm)],[fact_359_int__0__neq__1]),
[final] ).
cnf(i_0_4491,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_358_Pls__def]),
[final] ).
cnf(i_0_4492,axiom,
X1 = X1 ).
cnf(i_0_4493,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_4494,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_4495,axiom,
( X1 != X2
| hAPP_nat_int(X1,X3) = hAPP_nat_int(X2,X3) ) ).
cnf(i_0_4496,axiom,
( X1 != X2
| hAPP_nat_int(X3,X1) = hAPP_nat_int(X3,X2) ) ).
cnf(i_0_4497,axiom,
( X1 != X2
| legendre(X1,X3) = legendre(X2,X3) ) ).
cnf(i_0_4498,axiom,
( X1 != X2
| legendre(X3,X1) = legendre(X3,X2) ) ).
cnf(i_0_4499,axiom,
( X1 != X2
| twoSqu1241645765sum2sq(X1) = twoSqu1241645765sum2sq(X2) ) ).
cnf(i_0_4500,axiom,
( X1 != X2
| hAPP_real_real(X1,X3) = hAPP_real_real(X2,X3) ) ).
cnf(i_0_4501,axiom,
( X1 != X2
| hAPP_real_real(X3,X1) = hAPP_real_real(X3,X2) ) ).
cnf(i_0_4502,axiom,
( X1 != X2
| hAPP_nat_real(X1,X3) = hAPP_nat_real(X2,X3) ) ).
cnf(i_0_4503,axiom,
( X1 != X2
| hAPP_nat_real(X3,X1) = hAPP_nat_real(X3,X2) ) ).
cnf(i_0_4504,axiom,
( X1 != X2
| wset(X1,X3) = wset(X2,X3) ) ).
cnf(i_0_4505,axiom,
( X1 != X2
| wset(X3,X1) = wset(X3,X2) ) ).
cnf(i_0_4506,axiom,
( X1 != X2
| inv(X1,X3) = inv(X2,X3) ) ).
cnf(i_0_4507,axiom,
( X1 != X2
| inv(X3,X1) = inv(X3,X2) ) ).
cnf(i_0_4508,axiom,
( X1 != X2
| hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X2,X3) ) ).
cnf(i_0_4509,axiom,
( X1 != X2
| hAPP_nat_nat(X3,X1) = hAPP_nat_nat(X3,X2) ) ).
cnf(i_0_4510,axiom,
( X1 != X2
| number267125858f_real(X1) = number267125858f_real(X2) ) ).
cnf(i_0_4511,axiom,
( X1 != X2
| hAPP_int_int(X1,X3) = hAPP_int_int(X2,X3) ) ).
cnf(i_0_4512,axiom,
( X1 != X2
| hAPP_int_int(X3,X1) = hAPP_int_int(X3,X2) ) ).
cnf(i_0_4513,axiom,
( X1 != X2
| d22set(X1) = d22set(X2) ) ).
cnf(i_0_4514,axiom,
( X1 != X2
| number_number_of_nat(X1) = number_number_of_nat(X2) ) ).
cnf(i_0_4515,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_4516,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_4517,axiom,
( X1 != X2
| zfact(X1) = zfact(X2) ) ).
cnf(i_0_4518,axiom,
( X1 != X2
| esk13_2(X1,X3) = esk13_2(X2,X3) ) ).
cnf(i_0_4519,axiom,
( X1 != X2
| esk13_2(X3,X1) = esk13_2(X3,X2) ) ).
cnf(i_0_4520,axiom,
( X1 != X2
| esk8_1(X1) = esk8_1(X2) ) ).
cnf(i_0_4521,axiom,
( X1 != X2
| hAPP_bool_bool(X1,X3) = hAPP_bool_bool(X2,X3) ) ).
cnf(i_0_4522,axiom,
( X1 != X2
| hAPP_bool_bool(X3,X1) = hAPP_bool_bool(X3,X2) ) ).
cnf(i_0_4523,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X1,X3) = hAPP_b589554111l_bool(X2,X3) ) ).
cnf(i_0_4524,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X3,X1) = hAPP_b589554111l_bool(X3,X2) ) ).
cnf(i_0_4525,axiom,
( X1 != X2
| hAPP_i68813070l_bool(X1,X3) = hAPP_i68813070l_bool(X2,X3) ) ).
cnf(i_0_4526,axiom,
( X1 != X2
| hAPP_i68813070l_bool(X3,X1) = hAPP_i68813070l_bool(X3,X2) ) ).
cnf(i_0_4527,axiom,
( X1 != X2
| number_number_of_int(X1) = number_number_of_int(X2) ) ).
cnf(i_0_4528,axiom,
( X1 != X2
| hAPP_int_bool(X1,X3) = hAPP_int_bool(X2,X3) ) ).
cnf(i_0_4529,axiom,
( X1 != X2
| hAPP_int_bool(X3,X1) = hAPP_int_bool(X3,X2) ) ).
cnf(i_0_4530,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_4531,axiom,
( X1 != X2
| ~ is_int(X1)
| is_int(X2) ) ).
cnf(i_0_4532,axiom,
( X1 != X2
| ~ epred1_3(X1,X3,X4)
| epred1_3(X2,X3,X4) ) ).
cnf(i_0_4533,axiom,
( X1 != X2
| ~ epred1_3(X3,X1,X4)
| epred1_3(X3,X2,X4) ) ).
cnf(i_0_4534,axiom,
( X1 != X2
| ~ epred1_3(X3,X4,X1)
| epred1_3(X3,X4,X2) ) ).
cnf(i_0_4535,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_4492_001,axiom,
X1 = X1 ).
cnf(i_0_4493_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_4494_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_4495_004,axiom,
( X1 != X2
| hAPP_nat_int(X1,X3) = hAPP_nat_int(X2,X3) ) ).
cnf(i_0_4496_005,axiom,
( X1 != X2
| hAPP_nat_int(X3,X1) = hAPP_nat_int(X3,X2) ) ).
cnf(i_0_4497_006,axiom,
( X1 != X2
| legendre(X1,X3) = legendre(X2,X3) ) ).
cnf(i_0_4498_007,axiom,
( X1 != X2
| legendre(X3,X1) = legendre(X3,X2) ) ).
cnf(i_0_4499_008,axiom,
( X1 != X2
| twoSqu1241645765sum2sq(X1) = twoSqu1241645765sum2sq(X2) ) ).
cnf(i_0_4500_009,axiom,
( X1 != X2
| hAPP_real_real(X1,X3) = hAPP_real_real(X2,X3) ) ).
cnf(i_0_4501_010,axiom,
( X1 != X2
| hAPP_real_real(X3,X1) = hAPP_real_real(X3,X2) ) ).
cnf(i_0_4502_011,axiom,
( X1 != X2
| hAPP_nat_real(X1,X3) = hAPP_nat_real(X2,X3) ) ).
cnf(i_0_4503_012,axiom,
( X1 != X2
| hAPP_nat_real(X3,X1) = hAPP_nat_real(X3,X2) ) ).
cnf(i_0_4504_013,axiom,
( X1 != X2
| wset(X1,X3) = wset(X2,X3) ) ).
cnf(i_0_4505_014,axiom,
( X1 != X2
| wset(X3,X1) = wset(X3,X2) ) ).
cnf(i_0_4506_015,axiom,
( X1 != X2
| inv(X1,X3) = inv(X2,X3) ) ).
cnf(i_0_4507_016,axiom,
( X1 != X2
| inv(X3,X1) = inv(X3,X2) ) ).
cnf(i_0_4508_017,axiom,
( X1 != X2
| hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X2,X3) ) ).
cnf(i_0_4509_018,axiom,
( X1 != X2
| hAPP_nat_nat(X3,X1) = hAPP_nat_nat(X3,X2) ) ).
cnf(i_0_4510_019,axiom,
( X1 != X2
| number267125858f_real(X1) = number267125858f_real(X2) ) ).
cnf(i_0_4511_020,axiom,
( X1 != X2
| hAPP_int_int(X1,X3) = hAPP_int_int(X2,X3) ) ).
cnf(i_0_4512_021,axiom,
( X1 != X2
| hAPP_int_int(X3,X1) = hAPP_int_int(X3,X2) ) ).
cnf(i_0_4513_022,axiom,
( X1 != X2
| d22set(X1) = d22set(X2) ) ).
cnf(i_0_4514_023,axiom,
( X1 != X2
| number_number_of_nat(X1) = number_number_of_nat(X2) ) ).
cnf(i_0_4515_024,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_4516_025,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_4517_026,axiom,
( X1 != X2
| zfact(X1) = zfact(X2) ) ).
cnf(i_0_4518_027,axiom,
( X1 != X2
| esk13_2(X1,X3) = esk13_2(X2,X3) ) ).
cnf(i_0_4519_028,axiom,
( X1 != X2
| esk13_2(X3,X1) = esk13_2(X3,X2) ) ).
cnf(i_0_4520_029,axiom,
( X1 != X2
| esk8_1(X1) = esk8_1(X2) ) ).
cnf(i_0_4521_030,axiom,
( X1 != X2
| hAPP_bool_bool(X1,X3) = hAPP_bool_bool(X2,X3) ) ).
cnf(i_0_4522_031,axiom,
( X1 != X2
| hAPP_bool_bool(X3,X1) = hAPP_bool_bool(X3,X2) ) ).
cnf(i_0_4523_032,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X1,X3) = hAPP_b589554111l_bool(X2,X3) ) ).
cnf(i_0_4524_033,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X3,X1) = hAPP_b589554111l_bool(X3,X2) ) ).
cnf(i_0_4525_034,axiom,
( X1 != X2
| hAPP_i68813070l_bool(X1,X3) = hAPP_i68813070l_bool(X2,X3) ) ).
cnf(i_0_4526_035,axiom,
( X1 != X2
| hAPP_i68813070l_bool(X3,X1) = hAPP_i68813070l_bool(X3,X2) ) ).
cnf(i_0_4527_036,axiom,
( X1 != X2
| number_number_of_int(X1) = number_number_of_int(X2) ) ).
cnf(i_0_4528_037,axiom,
( X1 != X2
| hAPP_int_bool(X1,X3) = hAPP_int_bool(X2,X3) ) ).
cnf(i_0_4529_038,axiom,
( X1 != X2
| hAPP_int_bool(X3,X1) = hAPP_int_bool(X3,X2) ) ).
cnf(i_0_4530_039,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_4531_040,axiom,
( X1 != X2
| ~ is_int(X1)
| is_int(X2) ) ).
cnf(i_0_4532_041,axiom,
( X1 != X2
| ~ epred1_3(X1,X3,X4)
| epred1_3(X2,X3,X4) ) ).
cnf(i_0_4533_042,axiom,
( X1 != X2
| ~ epred1_3(X3,X1,X4)
| epred1_3(X3,X2,X4) ) ).
cnf(i_0_4534_043,axiom,
( X1 != X2
| ~ epred1_3(X3,X4,X1)
| epred1_3(X3,X4,X2) ) ).
cnf(i_0_4535_044,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_4536,plain,
( ~ is_int(zero_zero_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) ),
inference(equality_inference,[],[2863]) ).
cnf(i_0_4537,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(equality_inference,[],[2864]) ).
cnf(i_0_4538,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1)) ),
inference(equality_inference,[],[2888]) ).
cnf(i_0_4539,plain,
( X1 = X1
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)) ),
inference(equality_inference,[],[2889]) ).
cnf(i_0_4540,plain,
( X1 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)) ),
inference(equality_inference,[],[2890]) ).
cnf(i_0_4541,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X3)),X1)),zero_zero_int)) ),
inference(equality_inference,[],[2925]) ).
cnf(i_0_4542,plain,
( ~ is_int(zero_zero_int)
| hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = zero_zero_int ),
inference(equality_inference,[],[2944]) ).
cnf(i_0_4543,plain,
hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = zero_zero_real,
inference(equality_inference,[],[2945]) ).
cnf(i_0_4544,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X3)),X1))) ),
inference(equality_inference,[],[2971]) ).
cnf(i_0_4545,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X4),X2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X4)),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X1)) ),
inference(equality_inference,[],[3028]) ).
cnf(i_0_4546,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X3),X1)),X2)),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X2)),X4)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
inference(equality_inference,[],[3029]) ).
cnf(i_0_4547,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),X3) = X3 ),
inference(equality_inference,[],[3060]) ).
cnf(i_0_4548,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X3)),X2) ),
inference(equality_inference,[],[3061]) ).
cnf(i_0_4549,plain,
( ~ is_int(X1)
| ~ is_int(X2)
| X1 = zero_zero_int
| hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),X2)),X1) = X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(equality_inference,[],[3172]) ).
cnf(i_0_4550,plain,
( ~ is_int(X1)
| ~ epred1_3(X2,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3),X4)),X1),X3)
| ~ is_int(X4)
| hBOOL(hAPP_int_bool(X2,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),zero_zero_int)) ),
inference(equality_inference,[],[3190]) ).
cnf(i_0_4551,plain,
( ~ is_int(X1)
| ~ epred1_3(X2,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X3),X4)),X1),X3)
| ~ is_int(X4)
| hBOOL(hAPP_int_bool(X2,X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)) ),
inference(equality_inference,[],[3208]) ).
cnf(i_0_4552,plain,
( ~ is_int(X1)
| ~ is_int(X2)
| X1 = zero_zero_int
| hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),X2)),X1) = X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1)) ),
inference(equality_inference,[],[3353]) ).
cnf(i_0_4553,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X2)),X1))) ),
inference(equality_inference,[],[3373]) ).
cnf(i_0_4554,plain,
( ~ is_int(X1)
| ~ is_int(X2)
| X1 = zero_zero_int
| hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),X2)),X1) = X2
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int)) ),
inference(equality_inference,[],[3384]) ).
cnf(i_0_4555,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(X2,X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X1))
| ~ hBOOL(hAPP_nat_bool(X2,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X4)),X3)),X1))) ),
inference(equality_inference,[],[3392]) ).
cnf(i_0_4556,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X3)
| X2 = X3
| X1 = X1 ),
inference(equality_inference,[],[3405]) ).
cnf(i_0_4557,plain,
( X1 = X2
| X3 = X3 ),
inference(equality_inference,[],[3472]) ).
cnf(i_0_4558,plain,
( X1 = X2
| X3 = X3 ),
inference(equality_inference,[],[3473]) ).
cnf(i_0_4559,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(equality_inference,[],[3511]) ).
cnf(i_0_4560,plain,
( X1 = X1
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(equality_inference,[],[3527]) ).
cnf(i_0_4561,plain,
( X1 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(equality_inference,[],[3528]) ).
cnf(i_0_4562,plain,
( X1 = esk13_2(hAPP_nat_real(power_power_real(X1),X2),X2)
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(equality_inference,[],[3547]) ).
cnf(i_0_4563,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X4,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X1),X3)) ),
inference(equality_inference,[],[3616]) ).
cnf(i_0_4564,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(one_one_nat),X1)),X1)) ),
inference(equality_inference,[],[3621]) ).
cnf(i_0_4565,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),one_one_nat)),X1)) ),
inference(equality_inference,[],[3622]) ).
cnf(i_0_4566,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),
inference(equality_inference,[],[3668]) ).
cnf(i_0_4567,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),zero_zero_nat)),hAPP_nat_nat(times_times_nat(X2),zero_zero_nat))),
inference(equality_inference,[],[3669]) ).
cnf(i_0_4568,plain,
( X1 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(equality_inference,[],[3676]) ).
cnf(i_0_4569,plain,
( ~ is_int(X1)
| ~ is_int(X2)
| ~ is_int(X1)
| ~ is_int(X3)
| hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X2)),hAPP_int_int(times_times_int(X1),X3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),hAPP_int_int(times_times_int(X1),X2)) ),
inference(equality_inference,[],[3681]) ).
cnf(i_0_4570,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[3709]) ).
cnf(i_0_4571,plain,
hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X2)),hAPP_real_real(times_times_real(X1),X3)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X3)),hAPP_real_real(times_times_real(X1),X2)),
inference(equality_inference,[],[3742]) ).
cnf(i_0_4572,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(times_times_nat(X1),X2)),
inference(equality_inference,[],[3744]) ).
cnf(i_0_4573,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(zero_zero_real),zero_zero_real))),
inference(equality_inference,[],[3847]) ).
cnf(i_0_4574,plain,
( hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X3))) ),
inference(equality_inference,[],[3850]) ).
cnf(i_0_4575,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X2))),
inference(equality_inference,[],[3891]) ).
cnf(i_0_4576,plain,
( hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat))) ),
inference(equality_inference,[],[3909]) ).
cnf(i_0_4577,plain,
( ~ is_int(hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),X3)))
| ~ is_int(X3)
| hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),X3))),X2)) ),
inference(equality_inference,[],[3967]) ).
cnf(i_0_4578,plain,
( X1 = X1
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X2)) ),
inference(equality_inference,[],[3981]) ).
cnf(i_0_4579,plain,
( X1 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(equality_inference,[],[3983]) ).
cnf(i_0_4580,plain,
( X1 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X2)) ),
inference(equality_inference,[],[3984]) ).
cnf(i_0_4581,plain,
( X1 = X1
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X2)) ),
inference(equality_inference,[],[3985]) ).
cnf(i_0_4582,plain,
( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2) = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),hAPP_nat_nat(plus_plus_nat(X1),X2))) ),
inference(equality_inference,[],[3986]) ).
cnf(i_0_4583,plain,
( X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(equality_inference,[],[3987]) ).
cnf(i_0_4584,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))) ),
inference(equality_inference,[],[3995]) ).
cnf(i_0_4585,plain,
( ~ hBOOL(hAPP_nat_bool(X1,X2))
| hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat))) ),
inference(equality_inference,[],[4004]) ).
cnf(i_0_4586,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,one_one_real),hAPP_nat_real(power_power_real(one_one_real),X1))),
inference(equality_inference,[],[4019]) ).
cnf(i_0_4587,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),hAPP_nat_nat(power_power_nat(one_one_nat),X1))),
inference(equality_inference,[],[4020]) ).
cnf(i_0_4588,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),hAPP_nat_int(power_power_int(one_one_int),X1))),
inference(equality_inference,[],[4021]) ).
cnf(i_0_4589,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),
inference(equality_inference,[],[4076]) ).
cnf(i_0_4590,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(equality_inference,[],[4083]) ).
cnf(i_0_4591,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X1)) ),
inference(equality_inference,[],[4097]) ).
cnf(i_0_4592,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X1)),
inference(equality_inference,[],[4109]) ).
cnf(i_0_4593,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(equality_inference,[],[4113]) ).
cnf(i_0_4594,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(equality_inference,[],[4114]) ).
cnf(i_0_4595,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(equality_inference,[],[4115]) ).
cnf(i_0_4596,plain,
( ~ epred1_3(X1,X2,zero_zero_int)
| hBOOL(hAPP_int_bool(X1,X2)) ),
inference(equality_inference,[],[4123]) ).
cnf(i_0_4597,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X1),X2))),
inference(equality_inference,[],[4147]) ).
cnf(i_0_4598,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X1),X2))),
inference(equality_inference,[],[4148]) ).
cnf(i_0_4599,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))),
inference(equality_inference,[],[4149]) ).
cnf(i_0_4600,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X1),X2))),
inference(equality_inference,[],[4150]) ).
cnf(i_0_4601,plain,
( ~ is_int(twoSqu1241645765sum2sq(product_Pair_int_int(X1,X2)))
| ~ is_int(X1)
| ~ is_int(X2)
| hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,twoSqu1241645765sum2sq(product_Pair_int_int(X1,X2)))) ),
inference(equality_inference,[],[4166]) ).
cnf(i_0_4602,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| hBOOL(hAPP_int_bool(zcong(X1,X1),zero_zero_int)) ),
inference(equality_inference,[],[4170]) ).
cnf(i_0_4603,plain,
( ~ is_int(min)
| hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),min)),min) = min ),
inference(equality_inference,[],[4171]) ).
cnf(i_0_4604,plain,
( ~ is_int(min)
| min = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),min)),min) ),
inference(equality_inference,[],[4172]) ).
cnf(i_0_4605,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[4191]) ).
cnf(i_0_4606,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X1)),
inference(equality_inference,[],[4194]) ).
cnf(i_0_4607,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(equality_inference,[],[4199]) ).
cnf(i_0_4608,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(equality_inference,[],[4200]) ).
cnf(i_0_4609,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(equality_inference,[],[4203]) ).
cnf(i_0_4610,plain,
( ~ is_int(hAPP_int_int(times_times_int(X1),X2))
| ~ is_int(X2)
| hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X1),X2)),X1) = zero_zero_int ),
inference(equality_inference,[],[4238]) ).
cnf(i_0_4611,plain,
( X1 = X1
| X2 = zero_zero_real ),
inference(equality_inference,[],[4239]) ).
cnf(i_0_4612,plain,
( X1 = X1
| X2 = zero_zero_nat ),
inference(equality_inference,[],[4240]) ).
cnf(i_0_4613,plain,
( X1 = X1
| X2 = zero_zero_real ),
inference(equality_inference,[],[4241]) ).
cnf(i_0_4614,plain,
( X1 = X1
| X2 = zero_zero_nat ),
inference(equality_inference,[],[4243]) ).
cnf(i_0_4615,plain,
X1 = X1,
inference(equality_inference,[],[4257]) ).
cnf(i_0_4616,plain,
X1 = X1,
inference(equality_inference,[],[4258]) ).
cnf(i_0_4617,plain,
( ~ is_int(X1)
| X1 = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X1),X2)),X2) ),
inference(equality_inference,[],[4259]) ).
cnf(i_0_4618,plain,
hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1) = zero_zero_nat,
inference(equality_inference,[],[4267]) ).
cnf(i_0_4619,plain,
hAPP_nat_nat(times_times_nat(zero_zero_nat),X1) = hAPP_nat_nat(times_times_nat(zero_zero_nat),X2),
inference(equality_inference,[],[4288]) ).
cnf(i_0_4620,plain,
hAPP_nat_nat(times_times_nat(X1),zero_zero_nat) = hAPP_nat_nat(times_times_nat(X2),zero_zero_nat),
inference(equality_inference,[],[4289]) ).
cnf(i_0_4621,plain,
( ~ is_int(X1)
| ~ is_int(zero_zero_int)
| X1 = hAPP_int_int(plus_plus_int(X1),zero_zero_int) ),
inference(equality_inference,[],[4309]) ).
cnf(i_0_4622,plain,
( ~ is_int(zero_zero_int)
| ~ is_int(X1)
| hAPP_int_int(times_times_int(zero_zero_int),X1) = zero_zero_int ),
inference(equality_inference,[],[4314]) ).
cnf(i_0_4623,plain,
( ~ is_int(X1)
| ~ is_int(zero_zero_int)
| hAPP_int_int(times_times_int(X1),zero_zero_int) = zero_zero_int ),
inference(equality_inference,[],[4315]) ).
cnf(i_0_4624,plain,
( ~ is_int(zero_zero_int)
| X1 = zero_zero_nat
| hAPP_nat_int(power_power_int(zero_zero_int),X1) = zero_zero_int ),
inference(equality_inference,[],[4348]) ).
cnf(i_0_4625,plain,
( ~ is_int(pls)
| hAPP_int_int(plus_plus_int(pls),pls) = pls ),
inference(equality_inference,[],[4356]) ).
cnf(i_0_4626,plain,
( ~ is_int(zero_zero_int)
| hAPP_int_int(plus_plus_int(zero_zero_int),zero_zero_int) = zero_zero_int ),
inference(equality_inference,[],[4357]) ).
cnf(i_0_4627,plain,
( ~ is_int(pls)
| pls = hAPP_int_int(plus_plus_int(pls),pls) ),
inference(equality_inference,[],[4358]) ).
cnf(i_0_4628,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[4359]) ).
cnf(i_0_4629,plain,
( ~ is_int(X1)
| ~ is_int(X1)
| X1 = X1 ),
inference(equality_inference,[],[4360]) ).
cnf(i_0_4630,plain,
( X1 = zero_zero_nat
| hAPP_nat_real(power_power_real(zero_zero_real),X1) = zero_zero_real ),
inference(equality_inference,[],[4383]) ).
cnf(i_0_4631,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(power_power_nat(zero_zero_nat),X1) = zero_zero_nat ),
inference(equality_inference,[],[4384]) ).
cnf(i_0_4632,plain,
X1 = hAPP_real_real(plus_plus_real(X1),zero_zero_real),
inference(equality_inference,[],[4386]) ).
cnf(i_0_4633,plain,
X1 = hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat),
inference(equality_inference,[],[4387]) ).
cnf(i_0_4634,plain,
hAPP_real_real(times_times_real(zero_zero_real),X1) = zero_zero_real,
inference(equality_inference,[],[4389]) ).
cnf(i_0_4635,plain,
hAPP_real_real(times_times_real(X1),zero_zero_real) = zero_zero_real,
inference(equality_inference,[],[4390]) ).
cnf(i_0_4636,plain,
hAPP_real_real(plus_plus_real(zero_zero_real),zero_zero_real) = zero_zero_real,
inference(equality_inference,[],[4391]) ).
cnf(i_0_4637,plain,
hAPP_nat_nat(times_times_nat(zero_zero_nat),X1) = zero_zero_nat,
inference(equality_inference,[],[4393]) ).
cnf(i_0_4638,plain,
hAPP_nat_nat(times_times_nat(X1),zero_zero_nat) = zero_zero_nat,
inference(equality_inference,[],[4394]) ).
cnf(i_0_4639,plain,
hAPP_nat_nat(power_power_nat(one_one_nat),X1) = one_one_nat,
inference(equality_inference,[],[4395]) ).
cnf(i_0_4640,plain,
hAPP_nat_nat(power_power_nat(X1),zero_zero_nat) = one_one_nat,
inference(equality_inference,[],[4397]) ).
cnf(i_0_4641,plain,
hAPP_nat_real(power_power_real(zero_zero_real),zero_zero_nat) = one_one_real,
inference(equality_inference,[],[4400]) ).
cnf(i_0_4642,plain,
hAPP_nat_int(power_power_int(zero_zero_int),zero_zero_nat) = one_one_int,
inference(equality_inference,[],[4402]) ).
cnf(i_0_4643,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)),
inference(scs_inference,[],[i_0_2784,i_0_2796]) ).
cnf(i_0_4644,plain,
t != one_one_int,
inference(scs_inference,[],[i_0_2784,i_0_2797]) ).
cnf(i_0_4645,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(scs_inference,[],[i_0_4469,i_0_4536]) ).
cnf(i_0_4646,plain,
min = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),min)),min),
inference(scs_inference,[],[i_0_4468,i_0_4604]) ).
cnf(i_0_4647,plain,
( ~ is_int(X1)
| X1 = hAPP_int_int(plus_plus_int(X1),zero_zero_int) ),
inference(scs_inference,[],[i_0_4469,i_0_4621]) ).
cnf(i_0_4648,plain,
pls = hAPP_int_int(plus_plus_int(pls),pls),
inference(scs_inference,[],[i_0_4467,i_0_4627]) ).
cnf(i_0_4649,plain,
zero_zero_nat = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1),
inference(scs_inference,[],[i_0_4618,i_0_4493]) ).
cnf(i_0_4650,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_4618,i_0_4216,i_0_4493,i_0_2998]) ).
cnf(i_0_4651,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4652,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_2998]) ).
cnf(i_0_4653,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_4618,i_0_4216,i_0_4651,i_0_4493,i_0_2998,i_0_3000]) ).
cnf(i_0_4654,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4655,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3000]) ).
cnf(i_0_4656,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),one_one_real)),
inference(scs_inference,[],[i_0_4618,i_0_4216,i_0_4651,i_0_4654,i_0_4493,i_0_2998,i_0_3000,i_0_3113]) ).
cnf(i_0_4657,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4658,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real)) ),
inference(rename_variables,[],[i_0_3113]) ).
cnf(i_0_4659,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),one_one_int)),
inference(scs_inference,[],[i_0_4618,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115]) ).
cnf(i_0_4660,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4661,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),one_one_int)) ),
inference(rename_variables,[],[i_0_3115]) ).
cnf(i_0_4662,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X2))),
inference(scs_inference,[],[i_0_4618,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367]) ).
cnf(i_0_4663,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(rename_variables,[],[i_0_4214]) ).
cnf(i_0_4664,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2))) ),
inference(rename_variables,[],[i_0_3367]) ).
cnf(i_0_4665,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2))),
inference(scs_inference,[],[i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398]) ).
cnf(i_0_4666,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4667,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2))) ),
inference(rename_variables,[],[i_0_3398]) ).
cnf(i_0_4668,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3))),
inference(scs_inference,[],[i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4062,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446]) ).
cnf(i_0_4669,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X1),X2))),
inference(rename_variables,[],[i_0_4062]) ).
cnf(i_0_4670,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X3)) ),
inference(rename_variables,[],[i_0_3446]) ).
cnf(i_0_4671,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X2),X1)),X3))),
inference(scs_inference,[],[i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4062,i_0_4669,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447]) ).
cnf(i_0_4672,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X1),X2))),
inference(rename_variables,[],[i_0_4062]) ).
cnf(i_0_4673,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X2),X3)) ),
inference(rename_variables,[],[i_0_3447]) ).
cnf(i_0_4674,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),zero_zero_nat))),
inference(scs_inference,[],[i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4062,i_0_4669,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448]) ).
cnf(i_0_4675,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3448]) ).
cnf(i_0_4676,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4062,i_0_4669,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449]) ).
cnf(i_0_4677,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3449]) ).
cnf(i_0_4678,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X2)))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4066,i_0_4062,i_0_4669,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453]) ).
cnf(i_0_4679,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(X1),X1))),
inference(rename_variables,[],[i_0_4066]) ).
cnf(i_0_4680,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3453]) ).
cnf(i_0_4681,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),hAPP_nat_nat(plus_plus_nat(X2),X1)))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454]) ).
cnf(i_0_4682,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(X1),X1))),
inference(rename_variables,[],[i_0_4066]) ).
cnf(i_0_4683,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3454]) ).
cnf(i_0_4684,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X3))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455]) ).
cnf(i_0_4685,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X1),X2))),
inference(rename_variables,[],[i_0_4069]) ).
cnf(i_0_4686,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(rename_variables,[],[i_0_3455]) ).
cnf(i_0_4687,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X1)),X3))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456]) ).
cnf(i_0_4688,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X1),X2))),
inference(rename_variables,[],[i_0_4069]) ).
cnf(i_0_4689,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3)) ),
inference(rename_variables,[],[i_0_3456]) ).
cnf(i_0_4690,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508]) ).
cnf(i_0_4691,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4692,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),one_one_int)),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rename_variables,[],[i_0_3508]) ).
cnf(i_0_4693,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X1))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599]) ).
cnf(i_0_4694,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4695,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X2)),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3599]) ).
cnf(i_0_4696,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X1),X2))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4666,i_0_4214,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606]) ).
cnf(i_0_4697,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4698,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3606]) ).
cnf(i_0_4699,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(minus_minus_int(X1),X2))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651]) ).
cnf(i_0_4700,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(rename_variables,[],[i_0_4215]) ).
cnf(i_0_4701,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hBOOL(hAPP_int_bool(zcong(X2,X3),X1)) ),
inference(rename_variables,[],[i_0_3651]) ).
cnf(i_0_4702,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),zero_zero_nat) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X2),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662]) ).
cnf(i_0_4703,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3) ),
inference(rename_variables,[],[i_0_3662]) ).
cnf(i_0_4704,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X2) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),zero_zero_nat),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663]) ).
cnf(i_0_4705,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1) ),
inference(rename_variables,[],[i_0_3663]) ).
cnf(i_0_4706,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674]) ).
cnf(i_0_4707,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4708,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rename_variables,[],[i_0_3674]) ).
cnf(i_0_4709,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),one_one_int)),X1)),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675]) ).
cnf(i_0_4710,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)) ),
inference(rename_variables,[],[i_0_3675]) ).
cnf(i_0_4711,plain,
hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X1),X2)) = hAPP_int_int(div_mod_int(X2),hAPP_int_int(minus_minus_int(X1),X2)),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714]) ).
cnf(i_0_4712,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(rename_variables,[],[i_0_4215]) ).
cnf(i_0_4713,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hAPP_int_int(div_mod_int(X2),X1) = hAPP_int_int(div_mod_int(X3),X1) ),
inference(rename_variables,[],[i_0_3714]) ).
cnf(i_0_4714,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),zero_zero_nat) = hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),zero_zero_nat)),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732]) ).
cnf(i_0_4715,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1) = hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) ),
inference(rename_variables,[],[i_0_3732]) ).
cnf(i_0_4716,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),zero_zero_nat)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),X2),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733]) ).
cnf(i_0_4717,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),X2) ),
inference(rename_variables,[],[i_0_3733]) ).
cnf(i_0_4718,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),zero_zero_nat)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),zero_zero_nat),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734]) ).
cnf(i_0_4719,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1) ),
inference(rename_variables,[],[i_0_3734]) ).
cnf(i_0_4720,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X1)),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750]) ).
cnf(i_0_4721,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3592]) ).
cnf(i_0_4722,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(rename_variables,[],[i_0_3750]) ).
cnf(i_0_4723,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X2)),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751]) ).
cnf(i_0_4724,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3592]) ).
cnf(i_0_4725,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3751]) ).
cnf(i_0_4726,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1))),
inference(scs_inference,[],[i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772]) ).
cnf(i_0_4727,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4728,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(zero_zero_nat,hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830]) ).
cnf(i_0_4729,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(X1,X2))) ),
inference(rename_variables,[],[i_0_3830]) ).
cnf(i_0_4730,plain,
hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837]) ).
cnf(i_0_4731,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X2),X1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) ),
inference(rename_variables,[],[i_0_3837]) ).
cnf(i_0_4732,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(zero_zero_int)),number267125858f_real(one_one_int))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840]) ).
cnf(i_0_4733,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(rename_variables,[],[i_0_3840]) ).
cnf(i_0_4734,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(zero_zero_int)),number267125858f_real(number_number_of_int(pls)))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841]) ).
cnf(i_0_4735,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(rename_variables,[],[i_0_3841]) ).
cnf(i_0_4736,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(zero_zero_int)),number_number_of_nat(number_number_of_int(pls)))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842]) ).
cnf(i_0_4737,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(rename_variables,[],[i_0_3842]) ).
cnf(i_0_4738,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(zero_zero_int)),number_number_of_int(one_one_int))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844]) ).
cnf(i_0_4739,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(rename_variables,[],[i_0_3844]) ).
cnf(i_0_4740,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(zero_zero_int)),number_number_of_int(number_number_of_int(pls)))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846]) ).
cnf(i_0_4741,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(rename_variables,[],[i_0_3846]) ).
cnf(i_0_4742,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X1,one_one_int))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848]) ).
cnf(i_0_4743,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X2,X1))) ),
inference(rename_variables,[],[i_0_3848]) ).
cnf(i_0_4744,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(pls)),number_number_of_nat(X1))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878]) ).
cnf(i_0_4745,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4746,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(rename_variables,[],[i_0_3878]) ).
cnf(i_0_4747,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat) = X1,
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889]) ).
cnf(i_0_4748,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) = X2 ),
inference(rename_variables,[],[i_0_3889]) ).
cnf(i_0_4749,plain,
hBOOL(hAPP_int_bool(zcong(zero_zero_int,X1),X1)),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904]) ).
cnf(i_0_4750,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X2,X1),X3)) ),
inference(rename_variables,[],[i_0_3904]) ).
cnf(i_0_4751,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(zero_zero_int))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911]) ).
cnf(i_0_4752,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3911]) ).
cnf(i_0_4753,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(zero_zero_int))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912]) ).
cnf(i_0_4754,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1))) ),
inference(rename_variables,[],[i_0_3912]) ).
cnf(i_0_4755,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(zero_zero_int))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913]) ).
cnf(i_0_4756,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3913]) ).
cnf(i_0_4757,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915]) ).
cnf(i_0_4758,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(rename_variables,[],[i_0_3915]) ).
cnf(i_0_4759,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(zero_zero_int)),number267125858f_real(one_one_int))),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926]) ).
cnf(i_0_4760,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(rename_variables,[],[i_0_3926]) ).
cnf(i_0_4761,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(minus_minus_int(X1),zero_zero_int)),X1)),
inference(scs_inference,[],[i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932]) ).
cnf(i_0_4762,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1)) ),
inference(rename_variables,[],[i_0_3932]) ).
cnf(i_0_4763,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(minus_minus_int(X1),X1),zero_zero_int),X2)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934]) ).
cnf(i_0_4764,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3934]) ).
cnf(i_0_4765,plain,
hAPP_nat_nat(div_mod_nat(X1),X1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X1),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936]) ).
cnf(i_0_4766,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X2) ),
inference(rename_variables,[],[i_0_3936]) ).
cnf(i_0_4767,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959]) ).
cnf(i_0_4768,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3959]) ).
cnf(i_0_4769,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(pls))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960]) ).
cnf(i_0_4770,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4771,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3960]) ).
cnf(i_0_4772,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961]) ).
cnf(i_0_4773,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1))) ),
inference(rename_variables,[],[i_0_3961]) ).
cnf(i_0_4774,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int)))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962]) ).
cnf(i_0_4775,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3962]) ).
cnf(i_0_4776,plain,
~ hBOOL(member_int(one_one_int,d22set(zero_zero_int))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969]) ).
cnf(i_0_4777,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(member_int(X2,d22set(X1))) ),
inference(rename_variables,[],[i_0_3969]) ).
cnf(i_0_4778,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),t)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975]) ).
cnf(i_0_4779,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3975]) ).
cnf(i_0_4780,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977]) ).
cnf(i_0_4781,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X2),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X1 ),
inference(rename_variables,[],[i_0_3977]) ).
cnf(i_0_4782,plain,
hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)) = X1,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978]) ).
cnf(i_0_4783,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X2 ),
inference(rename_variables,[],[i_0_3978]) ).
cnf(i_0_4784,plain,
hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk32_2(zero_zero_nat,hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))) = hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993]) ).
cnf(i_0_4785,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X1),esk32_2(X1,X2)) = X2 ),
inference(rename_variables,[],[i_0_3993]) ).
cnf(i_0_4786,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk14_2(zero_zero_nat,X1)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994]) ).
cnf(i_0_4787,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = hAPP_nat_nat(plus_plus_nat(X1),esk14_2(X1,X2)) ),
inference(rename_variables,[],[i_0_3994]) ).
cnf(i_0_4788,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(min)),number_number_of_nat(X1)) = number_number_of_nat(X1),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003]) ).
cnf(i_0_4789,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(X2) ),
inference(rename_variables,[],[i_0_4003]) ).
cnf(i_0_4790,plain,
hAPP_int_int(div_mod_int(number_number_of_int(min)),one_one_int) = hAPP_int_int(minus_minus_int(one_one_int),one_one_int),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018]) ).
cnf(i_0_4791,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(number_number_of_int(min)),X1) = hAPP_int_int(minus_minus_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_4018]) ).
cnf(i_0_4792,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(pls)),number_number_of_nat(X1)) = number_number_of_nat(hAPP_int_int(times_times_int(pls),X1)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056]) ).
cnf(i_0_4793,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(times_times_int(X1),X2)) ),
inference(rename_variables,[],[i_0_4056]) ).
cnf(i_0_4794,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(min)),number_number_of_nat(X1)) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057]) ).
cnf(i_0_4795,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4057]) ).
cnf(i_0_4796,plain,
~ hBOOL(member_int(pls,d22set(min))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084]) ).
cnf(i_0_4797,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(rename_variables,[],[i_0_4084]) ).
cnf(i_0_4798,plain,
hAPP_nat_nat(div_mod_nat(zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089]) ).
cnf(i_0_4799,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) = X1 ),
inference(rename_variables,[],[i_0_4089]) ).
cnf(i_0_4800,plain,
is_int(esk23_2(X1,one_one_int)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090]) ).
cnf(i_0_4801,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| is_int(esk23_2(X2,X1)) ),
inference(rename_variables,[],[i_0_4090]) ).
cnf(i_0_4802,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(times_times_nat(X1),X1)) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092]) ).
cnf(i_0_4803,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X1),X2) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4092]) ).
cnf(i_0_4804,plain,
hAPP_int_int(div_mod_int(X1),one_one_int) = zero_zero_int,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094]) ).
cnf(i_0_4805,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),one_one_int)),
inference(rename_variables,[],[i_0_4205]) ).
cnf(i_0_4806,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| hAPP_int_int(div_mod_int(X1),X2) = zero_zero_int ),
inference(rename_variables,[],[i_0_4094]) ).
cnf(i_0_4807,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X1),X1)) = X1,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100]) ).
cnf(i_0_4808,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),X2)) = X1 ),
inference(rename_variables,[],[i_0_4100]) ).
cnf(i_0_4809,plain,
legendre(zero_zero_int,X1) = zero_zero_int,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101]) ).
cnf(i_0_4810,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_4811,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| legendre(X1,X2) = zero_zero_int ),
inference(rename_variables,[],[i_0_4101]) ).
cnf(i_0_4812,plain,
number267125858f_real(zero_zero_int) != number267125858f_real(one_one_int),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109]) ).
cnf(i_0_4813,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4109]) ).
cnf(i_0_4814,plain,
hAPP_nat_nat(power_power_nat(X1),zero_zero_nat) != zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113]) ).
cnf(i_0_4815,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(rename_variables,[],[i_0_4113]) ).
cnf(i_0_4816,plain,
zero_zero_nat != hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114]) ).
cnf(i_0_4817,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4114]) ).
cnf(i_0_4818,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) != zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115]) ).
cnf(i_0_4819,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != zero_zero_nat ),
inference(rename_variables,[],[i_0_4115]) ).
cnf(i_0_4820,plain,
number_number_of_nat(min) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120]) ).
cnf(i_0_4821,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| number_number_of_nat(X1) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4120]) ).
cnf(i_0_4822,plain,
zfact(zero_zero_int) = one_one_int,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121]) ).
cnf(i_0_4823,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_4824,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| zfact(X1) = one_one_int ),
inference(rename_variables,[],[i_0_4121]) ).
cnf(i_0_4825,plain,
zero_zero_nat = number_number_of_nat(min),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122]) ).
cnf(i_0_4826,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| zero_zero_nat = number_number_of_nat(X1) ),
inference(rename_variables,[],[i_0_4122]) ).
cnf(i_0_4827,plain,
hAPP_nat_nat(div_mod_nat(zero_zero_nat),X1) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133]) ).
cnf(i_0_4828,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3874]) ).
cnf(i_0_4829,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4133]) ).
cnf(i_0_4830,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(zero_zero_real),X1)),X2) = zero_zero_real,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142]) ).
cnf(i_0_4831,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),X1))
| X1 = zero_zero_real ),
inference(rename_variables,[],[i_0_4142]) ).
cnf(i_0_4832,plain,
hAPP_nat_nat(times_times_nat(X1),X2) = hAPP_nat_nat(times_times_nat(X1),esk35_2(hAPP_nat_nat(times_times_nat(X1),X2),X1)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204]) ).
cnf(i_0_4833,plain,
( hAPP_nat_nat(div_mod_nat(X1),X2) != zero_zero_nat
| X1 = hAPP_nat_nat(times_times_nat(X2),esk35_2(X1,X2)) ),
inference(rename_variables,[],[i_0_4204]) ).
cnf(i_0_4834,plain,
hBOOL(member_int(hAPP_int_int(minus_minus_int(X1),X1),hAPP_i1948725293t_bool(dvd_dvd_int,X2))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206]) ).
cnf(i_0_4835,plain,
( ~ hBOOL(hAPP_int_bool(X1,X2))
| hBOOL(member_int(X2,X1)) ),
inference(rename_variables,[],[i_0_4206]) ).
cnf(i_0_4836,plain,
number_number_of_nat(zero_zero_int) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228]) ).
cnf(i_0_4837,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4228]) ).
cnf(i_0_4838,plain,
is_int(esk26_2(min,hAPP_i1948725293t_bool(ord_less_eq_int,pls))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262]) ).
cnf(i_0_4839,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| is_int(esk26_2(X2,X1)) ),
inference(rename_variables,[],[i_0_4262]) ).
cnf(i_0_4840,plain,
esk14_2(zero_zero_nat,zero_zero_nat) = zero_zero_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326]) ).
cnf(i_0_4841,plain,
( X1 != hAPP_nat_nat(plus_plus_nat(X1),X2)
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4326]) ).
cnf(i_0_4842,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),zero_zero_nat)),X1)),X2)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),X2),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546]) ).
cnf(i_0_4843,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_4844,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3)),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X4) ),
inference(rename_variables,[],[i_0_4546]) ).
cnf(i_0_4845,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),zero_zero_nat)),X1)),X2) = X2,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547]) ).
cnf(i_0_4846,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_4847,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),X3) = X3 ),
inference(rename_variables,[],[i_0_4547]) ).
cnf(i_0_4848,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),zero_zero_nat)),X2)),X1),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4119,i_0_4666,i_0_4697,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548]) ).
cnf(i_0_4849,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_4850,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X3)),X2) ),
inference(rename_variables,[],[i_0_4548]) ).
cnf(i_0_4851,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X2)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574]) ).
cnf(i_0_4852,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(rename_variables,[],[i_0_4213]) ).
cnf(i_0_4853,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X2)))
| hBOOL(hAPP_nat_bool(X1,X3)) ),
inference(rename_variables,[],[i_0_4574]) ).
cnf(i_0_4854,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576]) ).
cnf(i_0_4855,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(rename_variables,[],[i_0_4213]) ).
cnf(i_0_4856,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat)))
| hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_4576]) ).
cnf(i_0_4857,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583]) ).
cnf(i_0_4858,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) ),
inference(rename_variables,[],[i_0_4583]) ).
cnf(i_0_4859,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585]) ).
cnf(i_0_4860,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4861,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_4585]) ).
cnf(i_0_4862,plain,
plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)) != plus_plus_int(X1),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511]) ).
cnf(i_0_4863,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) != hAPP_int_int(plus_plus_int(X2),X2),
inference(rename_variables,[],[i_0_3997]) ).
cnf(i_0_4864,plain,
X1 != hAPP_int_int(plus_plus_int(one_one_int),X1),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512]) ).
cnf(i_0_4865,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X1)),X1) != hAPP_int_int(plus_plus_int(X2),X2),
inference(rename_variables,[],[i_0_3997]) ).
cnf(i_0_4866,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(one_one_int)),number267125858f_real(zero_zero_int))),
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818]) ).
cnf(i_0_4867,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3818]) ).
cnf(i_0_4868,plain,
hAPP_nat_nat(div_mod_nat(one_one_nat),zero_zero_nat) = one_one_nat,
inference(scs_inference,[],[i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828]) ).
cnf(i_0_4869,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1)),
inference(rename_variables,[],[i_0_4232]) ).
cnf(i_0_4870,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3828]) ).
cnf(i_0_4871,plain,
zero_zero_real = hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918]) ).
cnf(i_0_4872,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(rename_variables,[],[i_0_2879]) ).
cnf(i_0_4873,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3918]) ).
cnf(i_0_4874,plain,
zero_zero_nat = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),X1),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922]) ).
cnf(i_0_4875,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_4876,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3922]) ).
cnf(i_0_4877,plain,
zero_zero_real = hAPP_real_real(times_times_real(zero_zero_real),zero_zero_real),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022]) ).
cnf(i_0_4878,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X1)),zero_zero_real)),
inference(rename_variables,[],[i_0_3600]) ).
cnf(i_0_4879,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_4022]) ).
cnf(i_0_4880,plain,
zero_zero_nat = hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X1),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4567,i_0_4618,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024]) ).
cnf(i_0_4881,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(rename_variables,[],[i_0_4140]) ).
cnf(i_0_4882,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_4024]) ).
cnf(i_0_4883,plain,
X1 = esk35_2(hAPP_nat_nat(times_times_nat(one_one_nat),X1),one_one_nat),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4567,i_0_4618,i_0_4484,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243]) ).
cnf(i_0_4884,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) != hAPP_nat_nat(times_times_nat(X1),X3)
| X1 = zero_zero_nat
| X2 = X3 ),
inference(rename_variables,[],[i_0_4243]) ).
cnf(i_0_4885,plain,
esk9_0 = hAPP_int_int(plus_plus_int(hAPP_real_real(plus_plus_real(hAPP_int_int(minus_minus_int(esk9_0),X1)),zero_zero_real)),X1),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259]) ).
cnf(i_0_4886,plain,
X1 = hAPP_real_real(plus_plus_real(X1),zero_zero_real),
inference(rename_variables,[],[i_0_4632]) ).
cnf(i_0_4887,plain,
( hAPP_int_int(minus_minus_int(X1),X2) != X3
| X1 = hAPP_int_int(plus_plus_int(X3),X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4259]) ).
cnf(i_0_4888,plain,
X1 = hAPP_real_real(plus_plus_real(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_real),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494]) ).
cnf(i_0_4889,plain,
X1 = hAPP_real_real(plus_plus_real(X1),zero_zero_real),
inference(rename_variables,[],[i_0_4632]) ).
cnf(i_0_4890,plain,
is_bool(hAPP_real_real(plus_plus_real(hAPP_real_bool(X1,X2)),zero_zero_real)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535]) ).
cnf(i_0_4891,plain,
X1 = hAPP_real_real(plus_plus_real(X1),zero_zero_real),
inference(rename_variables,[],[i_0_4632]) ).
cnf(i_0_4892,plain,
is_int(hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531]) ).
cnf(i_0_4893,plain,
X1 = hAPP_real_real(plus_plus_real(X1),zero_zero_real),
inference(rename_variables,[],[i_0_4632]) ).
cnf(i_0_4894,plain,
hBOOL(hAPP_int_bool(quadRes(one_one_int),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830]) ).
cnf(i_0_4895,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),one_one_int)),
inference(rename_variables,[],[i_0_4205]) ).
cnf(i_0_4896,plain,
( ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X2),X3))
| hBOOL(hAPP_int_bool(quadRes(X3),X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2830]) ).
cnf(i_0_4897,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),zero_zero_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893]) ).
cnf(i_0_4898,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(rename_variables,[],[i_0_4140]) ).
cnf(i_0_4899,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_4900,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897]) ).
cnf(i_0_4901,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_4902,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(rename_variables,[],[i_0_2897]) ).
cnf(i_0_4903,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(power_power_nat(X2),zero_zero_nat))),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921]) ).
cnf(i_0_4904,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),
inference(rename_variables,[],[i_0_3593]) ).
cnf(i_0_4905,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(div_mod_nat(X2),X3))),X4)),hAPP_nat_nat(times_times_nat(X1),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X1)) ),
inference(rename_variables,[],[i_0_2921]) ).
cnf(i_0_4906,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),hAPP_int_int(minus_minus_int(X3),X3)))),X4)),hAPP_int_int(plus_plus_int(X1),X4))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931]) ).
cnf(i_0_4907,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(rename_variables,[],[i_0_4215]) ).
cnf(i_0_4908,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X2))),
inference(rename_variables,[],[i_0_4575]) ).
cnf(i_0_4909,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X3),X4))),X5)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(X2),X5)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X4)) ),
inference(rename_variables,[],[i_0_2931]) ).
cnf(i_0_4910,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X2)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028]) ).
cnf(i_0_4911,plain,
hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat) = X1,
inference(rename_variables,[],[i_0_4413]) ).
cnf(i_0_4912,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4) != X5
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5) ),
inference(rename_variables,[],[i_0_3028]) ).
cnf(i_0_4913,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),zero_zero_nat)),X1)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X1)),zero_zero_nat),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029]) ).
cnf(i_0_4914,plain,
X1 = hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat),
inference(rename_variables,[],[i_0_4633]) ).
cnf(i_0_4915,plain,
( X1 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5) ),
inference(rename_variables,[],[i_0_3029]) ).
cnf(i_0_4916,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(one_one_nat),esk36_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),one_one_nat)),X1,one_one_nat))),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),one_one_nat)),X1,one_one_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090]) ).
cnf(i_0_4917,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4918,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),esk36_3(X1,X2,X3))),esk37_3(X1,X2,X3))
| X3 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3090]) ).
cnf(i_0_4919,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193]) ).
cnf(i_0_4920,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(rename_variables,[],[i_0_4214]) ).
cnf(i_0_4921,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_4922,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3193]) ).
cnf(i_0_4923,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1,zero_zero_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233]) ).
cnf(i_0_4924,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4925,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(X1,esk16_3(X1,X2,X3))) ),
inference(rename_variables,[],[i_0_3233]) ).
cnf(i_0_4926,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1,zero_zero_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234]) ).
cnf(i_0_4927,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4928,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(X1,esk15_3(X1,X2,X3))) ),
inference(rename_variables,[],[i_0_3234]) ).
cnf(i_0_4929,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(power_power_nat(X3),zero_zero_nat)))),X2)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273]) ).
cnf(i_0_4930,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4)) ),
inference(rename_variables,[],[i_0_3273]) ).
cnf(i_0_4931,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),one_one_nat)),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),one_one_nat)),X1,one_one_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389]) ).
cnf(i_0_4932,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4933,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk37_3(X1,X2,X3)))
| X3 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3389]) ).
cnf(i_0_4934,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(zero_zero_nat),X1))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394]) ).
cnf(i_0_4935,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),
inference(rename_variables,[],[i_0_4566]) ).
cnf(i_0_4936,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| X1 = one_one_nat ),
inference(rename_variables,[],[i_0_3394]) ).
cnf(i_0_4937,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),zero_zero_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395]) ).
cnf(i_0_4938,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),zero_zero_nat)),hAPP_nat_nat(times_times_nat(X2),zero_zero_nat))),
inference(rename_variables,[],[i_0_4567]) ).
cnf(i_0_4939,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X2 = one_one_nat ),
inference(rename_variables,[],[i_0_3395]) ).
cnf(i_0_4940,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int))),zero_zero_real)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409]) ).
cnf(i_0_4941,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X1)),zero_zero_real)),
inference(rename_variables,[],[i_0_3600]) ).
cnf(i_0_4942,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)) ),
inference(rename_variables,[],[i_0_3409]) ).
cnf(i_0_4943,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),min)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427]) ).
cnf(i_0_4944,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X1)),zero_zero_int)),
inference(rename_variables,[],[i_0_3601]) ).
cnf(i_0_4945,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3427]) ).
cnf(i_0_4946,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(power_power_nat(X1),one_one_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440]) ).
cnf(i_0_4947,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(rename_variables,[],[i_0_4213]) ).
cnf(i_0_4948,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3440]) ).
cnf(i_0_4949,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443]) ).
cnf(i_0_4950,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(rename_variables,[],[i_0_4213]) ).
cnf(i_0_4951,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),zero_zero_nat)),
inference(rename_variables,[],[i_0_4224]) ).
cnf(i_0_4952,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(rename_variables,[],[i_0_3443]) ).
cnf(i_0_4953,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444]) ).
cnf(i_0_4954,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(rename_variables,[],[i_0_4215]) ).
cnf(i_0_4955,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X2))),
inference(rename_variables,[],[i_0_4575]) ).
cnf(i_0_4956,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(div_mod_int(X2),X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(rename_variables,[],[i_0_3444]) ).
cnf(i_0_4957,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(minus_minus_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445]) ).
cnf(i_0_4958,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(rename_variables,[],[i_0_4215]) ).
cnf(i_0_4959,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X2))),
inference(rename_variables,[],[i_0_4575]) ).
cnf(i_0_4960,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(rename_variables,[],[i_0_3445]) ).
cnf(i_0_4961,plain,
esk9_0 = hAPP_int_int(plus_plus_int(esk9_0),hAPP_int_int(times_times_int(X1),esk10_3(esk9_0,esk9_0,X1))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519]) ).
cnf(i_0_4962,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_4963,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| X2 = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X3),esk10_3(X1,X2,X3)))
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3519]) ).
cnf(i_0_4964,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)) = hAPP_nat_nat(minus_minus_nat(X1),X1),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529]) ).
cnf(i_0_4965,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),hAPP_nat_nat(minus_minus_nat(X3),X1)) = hAPP_nat_nat(minus_minus_nat(X2),X3) ),
inference(rename_variables,[],[i_0_3529]) ).
cnf(i_0_4966,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)),one_one_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603]) ).
cnf(i_0_4967,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1)),
inference(rename_variables,[],[i_0_4232]) ).
cnf(i_0_4968,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3603]) ).
cnf(i_0_4969,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),one_one_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604]) ).
cnf(i_0_4970,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(rename_variables,[],[i_0_4215]) ).
cnf(i_0_4971,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(rename_variables,[],[i_0_3604]) ).
cnf(i_0_4972,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605]) ).
cnf(i_0_4973,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_4974,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3605]) ).
cnf(i_0_4975,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),one_one_int) = hAPP_int_int(div_mod_int(X1),one_one_int),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607]) ).
cnf(i_0_4976,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X2))),
inference(rename_variables,[],[i_0_4575]) ).
cnf(i_0_4977,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X3),X2)),X1) = hAPP_int_int(div_mod_int(X3),X1) ),
inference(rename_variables,[],[i_0_3607]) ).
cnf(i_0_4978,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(pls)),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618]) ).
cnf(i_0_4979,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X2)) ),
inference(rename_variables,[],[i_0_3618]) ).
cnf(i_0_4980,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk13_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619]) ).
cnf(i_0_4981,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk13_2(X1,X2))) ),
inference(rename_variables,[],[i_0_3619]) ).
cnf(i_0_4982,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk12_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4589,i_0_4573,i_0_4566,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620]) ).
cnf(i_0_4983,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk12_2(X1,X2))) ),
inference(rename_variables,[],[i_0_3620]) ).
cnf(i_0_4984,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),X3))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655]) ).
cnf(i_0_4985,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X1),X2))),
inference(rename_variables,[],[i_0_4064]) ).
cnf(i_0_4986,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1)) ),
inference(rename_variables,[],[i_0_3655]) ).
cnf(i_0_4987,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X2),X2)),X3))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657]) ).
cnf(i_0_4988,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X1),X2))),
inference(rename_variables,[],[i_0_4069]) ).
cnf(i_0_4989,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X3),X1)) ),
inference(rename_variables,[],[i_0_3657]) ).
cnf(i_0_4990,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658]) ).
cnf(i_0_4991,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X1)) ),
inference(rename_variables,[],[i_0_3658]) ).
cnf(i_0_4992,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),X2)),zero_zero_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661]) ).
cnf(i_0_4993,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3874]) ).
cnf(i_0_4994,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
inference(rename_variables,[],[i_0_3661]) ).
cnf(i_0_4995,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664]) ).
cnf(i_0_4996,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_4997,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| X2 = hAPP_nat_nat(plus_plus_nat(X3),esk16_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_3664]) ).
cnf(i_0_4998,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665]) ).
cnf(i_0_4999,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5000,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| X2 = hAPP_nat_nat(plus_plus_nat(X3),esk15_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_3665]) ).
cnf(i_0_5001,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670]) ).
cnf(i_0_5002,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1)),
inference(rename_variables,[],[i_0_4232]) ).
cnf(i_0_5003,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3670]) ).
cnf(i_0_5004,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(one_one_int),zero_zero_int)),one_one_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671]) ).
cnf(i_0_5005,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(rename_variables,[],[i_0_3671]) ).
cnf(i_0_5006,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(pls)),number_number_of_nat(pls)) = number_number_of_nat(hAPP_int_int(plus_plus_int(pls),pls)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685]) ).
cnf(i_0_5007,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5008,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X1),X2)) ),
inference(rename_variables,[],[i_0_3685]) ).
cnf(i_0_5009,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688]) ).
cnf(i_0_5010,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),X1)),
inference(rename_variables,[],[i_0_4232]) ).
cnf(i_0_5011,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3688]) ).
cnf(i_0_5012,plain,
hAPP_nat_real(power_power_real(esk13_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)) = number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698]) ).
cnf(i_0_5013,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| hAPP_nat_real(power_power_real(esk13_2(X1,X2)),X2) = X1 ),
inference(rename_variables,[],[i_0_3698]) ).
cnf(i_0_5014,plain,
hAPP_nat_real(power_power_real(esk12_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)) = number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699]) ).
cnf(i_0_5015,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| hAPP_nat_real(power_power_real(esk12_2(X1,X2)),X2) = X1 ),
inference(rename_variables,[],[i_0_3699]) ).
cnf(i_0_5016,plain,
hAPP_int_int(div_mod_int(one_one_int),one_one_int) = hAPP_int_int(div_mod_int(zero_zero_int),one_one_int),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713]) ).
cnf(i_0_5017,plain,
hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X1)),
inference(rename_variables,[],[i_0_4217]) ).
cnf(i_0_5018,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| hAPP_int_int(div_mod_int(X1),X3) = hAPP_int_int(div_mod_int(X2),X3) ),
inference(rename_variables,[],[i_0_3713]) ).
cnf(i_0_5019,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(power_power_nat(X2),zero_zero_nat)) != hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779]) ).
cnf(i_0_5020,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| hAPP_nat_nat(plus_plus_nat(X1),X4) != hAPP_nat_nat(plus_plus_nat(X3),X2) ),
inference(rename_variables,[],[i_0_3779]) ).
cnf(i_0_5021,plain,
is_int(esk10_3(esk9_0,esk9_0,X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814]) ).
cnf(i_0_5022,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5023,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| is_int(esk10_3(X1,X2,X3))
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3814]) ).
cnf(i_0_5024,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X1)),zero_zero_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850]) ).
cnf(i_0_5025,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(rename_variables,[],[i_0_4214]) ).
cnf(i_0_5026,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(X1,X4))
| X2 != hAPP_nat_nat(plus_plus_nat(X3),X4) ),
inference(rename_variables,[],[i_0_3850]) ).
cnf(i_0_5027,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(pls)),number_number_of_nat(min)) = number_number_of_nat(pls),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873]) ).
cnf(i_0_5028,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(X1) ),
inference(rename_variables,[],[i_0_3873]) ).
cnf(i_0_5029,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(div_mod_nat(X1),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(one_one_nat),X2)),one_one_nat))),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909]) ).
cnf(i_0_5030,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(rename_variables,[],[i_0_4213]) ).
cnf(i_0_5031,plain,
hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1) = zero_zero_nat,
inference(rename_variables,[],[i_0_4618]) ).
cnf(i_0_5032,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(X1,X2))
| X3 != zero_zero_nat ),
inference(rename_variables,[],[i_0_3909]) ).
cnf(i_0_5033,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),one_one_nat)),X1)),one_one_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924]) ).
cnf(i_0_5034,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3924]) ).
cnf(i_0_5035,plain,
X1 != hAPP_nat_nat(plus_plus_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(div_mod_nat(X1),X2)))),hAPP_nat_nat(div_mod_nat(X1),X2)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986]) ).
cnf(i_0_5036,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 != hAPP_nat_nat(plus_plus_nat(X3),X1)
| hAPP_nat_nat(minus_minus_nat(X2),X1) = X3 ),
inference(rename_variables,[],[i_0_3986]) ).
cnf(i_0_5037,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_real_real(plus_plus_real(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_real)),zero_zero_nat),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987]) ).
cnf(i_0_5038,plain,
X1 = hAPP_real_real(plus_plus_real(X1),zero_zero_real),
inference(rename_variables,[],[i_0_4632]) ).
cnf(i_0_5039,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X2),X1) != X3
| X2 = hAPP_nat_nat(plus_plus_nat(X3),X1) ),
inference(rename_variables,[],[i_0_3987]) ).
cnf(i_0_5040,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X2))),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004]) ).
cnf(i_0_5041,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5042,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2))
| X3 != zero_zero_nat ),
inference(rename_variables,[],[i_0_4004]) ).
cnf(i_0_5043,plain,
~ hBOOL(hAPP_int_bool(zprime,one_one_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117]) ).
cnf(i_0_5044,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4117]) ).
cnf(i_0_5045,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123]) ).
cnf(i_0_5046,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| X3 != zero_zero_int
| ~ epred1_3(X1,X2,X3) ),
inference(rename_variables,[],[i_0_4123]) ).
cnf(i_0_5047,plain,
esk9_0 = hAPP_int_int(times_times_int(esk9_0),esk34_2(esk9_0,esk9_0)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174]) ).
cnf(i_0_5048,plain,
hAPP_int_int(div_mod_int(X1),X1) = zero_zero_int,
inference(rename_variables,[],[i_0_4399]) ).
cnf(i_0_5049,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| X1 = hAPP_int_int(times_times_int(X2),esk34_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4174]) ).
cnf(i_0_5050,plain,
esk9_0 = hAPP_int_int(times_times_int(esk9_0),esk33_2(esk9_0,esk9_0)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175]) ).
cnf(i_0_5051,plain,
hAPP_int_int(div_mod_int(X1),X1) = zero_zero_int,
inference(rename_variables,[],[i_0_4399]) ).
cnf(i_0_5052,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| X1 = hAPP_int_int(times_times_int(X2),esk33_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4175]) ).
cnf(i_0_5053,plain,
is_int(esk34_2(esk9_0,esk9_0)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236]) ).
cnf(i_0_5054,plain,
hAPP_int_int(div_mod_int(X1),X1) = zero_zero_int,
inference(rename_variables,[],[i_0_4399]) ).
cnf(i_0_5055,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| is_int(esk34_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4236]) ).
cnf(i_0_5056,plain,
is_int(esk33_2(esk9_0,esk9_0)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237]) ).
cnf(i_0_5057,plain,
hAPP_int_int(div_mod_int(X1),X1) = zero_zero_int,
inference(rename_variables,[],[i_0_4399]) ).
cnf(i_0_5058,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| is_int(esk33_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4237]) ).
cnf(i_0_5059,plain,
epred1_3(zcong(zero_zero_int,zero_zero_int),zero_zero_int,pls),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_5017,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237]) ).
cnf(i_0_5060,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5061,plain,
hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X1)),
inference(rename_variables,[],[i_0_4217]) ).
cnf(i_0_5062,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(X2,esk39_3(X1,X3,X2)))
| ~ hBOOL(hAPP_int_bool(X2,X3))
| epred1_3(X2,X3,X1) ),
inference(rename_variables,[],[i_0_3237]) ).
cnf(i_0_5063,plain,
epred1_3(zcong(zero_zero_int,zero_zero_int),zero_zero_int,number_number_of_int(zero_zero_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_5017,i_0_5061,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244]) ).
cnf(i_0_5064,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5065,plain,
hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X1)),
inference(rename_variables,[],[i_0_4217]) ).
cnf(i_0_5066,plain,
( ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(X1,X3))
| epred1_3(X1,X3,X2) ),
inference(rename_variables,[],[i_0_3244]) ).
cnf(i_0_5067,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_4217,i_0_5017,i_0_5061,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245]) ).
cnf(i_0_5068,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X1)),
inference(rename_variables,[],[i_0_4213]) ).
cnf(i_0_5069,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),zero_zero_nat)),
inference(rename_variables,[],[i_0_4224]) ).
cnf(i_0_5070,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3245]) ).
cnf(i_0_5071,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_4217,i_0_5017,i_0_5061,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438]) ).
cnf(i_0_5072,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5073,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(X3,esk24_3(X3,X1,X2)))
| hBOOL(hAPP_int_bool(X3,X1))
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(rename_variables,[],[i_0_3438]) ).
cnf(i_0_5074,plain,
hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),hAPP_real_real(plus_plus_real(X1),zero_zero_real))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616]) ).
cnf(i_0_5075,plain,
hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X1)),
inference(rename_variables,[],[i_0_4217]) ).
cnf(i_0_5076,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5077,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X4,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X5),X3))
| X5 != X1 ),
inference(rename_variables,[],[i_0_3616]) ).
cnf(i_0_5078,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk17_2(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat)))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649]) ).
cnf(i_0_5079,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(rename_variables,[],[i_0_4214]) ).
cnf(i_0_5080,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5081,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk17_2(X2,X3)))
| hBOOL(hAPP_nat_bool(X3,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X3,X1))
| ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
inference(rename_variables,[],[i_0_3649]) ).
cnf(i_0_5082,plain,
is_int(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666]) ).
cnf(i_0_5083,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5084,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(X3,X1))
| ~ hBOOL(hAPP_int_bool(X3,X2))
| is_int(esk24_3(X3,X1,X2)) ),
inference(rename_variables,[],[i_0_3666]) ).
cnf(i_0_5085,plain,
epred1_3(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X2),zero_zero_int),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815]) ).
cnf(i_0_5086,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(X2,X3))
| epred1_3(X2,X3,X1) ),
inference(rename_variables,[],[i_0_3815]) ).
cnf(i_0_5087,plain,
epred1_3(zcong(X1,X1),esk9_0,esk9_0),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836]) ).
cnf(i_0_5088,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5089,plain,
( ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(div_mod_int(X2),X3)))
| ~ is_int(X2)
| ~ is_int(X3)
| epred1_3(X1,X2,X3) ),
inference(rename_variables,[],[i_0_3836]) ).
cnf(i_0_5090,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),zero_zero_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906]) ).
cnf(i_0_5091,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3906]) ).
cnf(i_0_5092,plain,
min != zero_zero_int,
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4618,i_0_5031,i_0_4459,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097]) ).
cnf(i_0_5093,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_4097]) ).
cnf(i_0_5094,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),zero_zero_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802]) ).
cnf(i_0_5095,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1))
| ~ is_int(X1)
| ~ is_int(X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_3802]) ).
cnf(i_0_5096,plain,
s = esk6_0,
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761]) ).
cnf(i_0_5097,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(zcong(s1,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| X1 = esk6_0
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2761]) ).
cnf(i_0_5098,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)),X2)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),zero_zero_nat)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392]) ).
cnf(i_0_5099,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(rename_variables,[],[i_0_4214]) ).
cnf(i_0_5100,plain,
X1 = hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat),
inference(rename_variables,[],[i_0_4633]) ).
cnf(i_0_5101,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
| X2 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X5)),X4)
| hBOOL(hAPP_nat_bool(X1,X4))
| X3 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3392]) ).
cnf(i_0_5102,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(minus_minus_int(one_one_int),zero_zero_int))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596]) ).
cnf(i_0_5103,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| X1 = zero_zero_int
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3596]) ).
cnf(i_0_5104,plain,
hAPP_int_int(times_times_int(one_one_int),zero_zero_int) != one_one_int,
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000]) ).
cnf(i_0_5105,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(times_times_int(X1),X2) != one_one_int
| X2 = one_one_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4000]) ).
cnf(i_0_5106,plain,
zero_zero_int = esk23_2(zero_zero_int,one_one_int),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388]) ).
cnf(i_0_5107,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5108,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5109,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X3,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| X1 = esk23_2(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3388]) ).
cnf(i_0_5110,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk9_0)),zero_zero_int),min),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550]) ).
cnf(i_0_5111,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5112,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ is_int(X3)
| hBOOL(hAPP_int_bool(X4,X1))
| ~ epred1_3(X4,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X3)),X1),X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4550]) ).
cnf(i_0_5113,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),esk9_0)),zero_zero_int),one_one_int),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551]) ).
cnf(i_0_5114,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5115,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ is_int(X3)
| hBOOL(hAPP_int_bool(X4,X1))
| ~ epred1_3(X4,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X3)),X1),X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4551]) ).
cnf(i_0_5116,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),X1)),zero_zero_int)),min) = zero_zero_int,
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554]) ).
cnf(i_0_5117,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5118,plain,
( X1 = zero_zero_int
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X3)),X2)),X1) = X2
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_4554]) ).
cnf(i_0_5119,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(min),esk9_0)),min),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190]) ).
cnf(i_0_5120,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5121,plain,
hAPP_int_int(plus_plus_int(X1),X2) = hAPP_int_int(plus_plus_int(X2),X1),
inference(rename_variables,[],[i_0_4307]) ).
cnf(i_0_5122,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X4)),X1)
| hBOOL(hAPP_int_bool(X5,X1))
| ~ is_int(X1)
| ~ epred1_3(X5,X3,X2)
| ~ is_int(X4) ),
inference(rename_variables,[],[i_0_3190]) ).
cnf(i_0_5123,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(one_one_int),esk9_0)),one_one_int),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208]) ).
cnf(i_0_5124,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5125,plain,
hAPP_int_int(plus_plus_int(X1),X2) = hAPP_int_int(plus_plus_int(X2),X1),
inference(rename_variables,[],[i_0_4307]) ).
cnf(i_0_5126,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X4)),X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| hBOOL(hAPP_int_bool(X5,X1))
| ~ is_int(X1)
| ~ epred1_3(X5,X3,X2)
| ~ is_int(X4) ),
inference(rename_variables,[],[i_0_3208]) ).
cnf(i_0_5127,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(min),X1))),min) = zero_zero_int,
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384]) ).
cnf(i_0_5128,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5129,plain,
hAPP_int_int(plus_plus_int(X1),X2) = hAPP_int_int(plus_plus_int(X2),X1),
inference(rename_variables,[],[i_0_4307]) ).
cnf(i_0_5130,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X4)),X1)
| hAPP_int_int(div_mod_int(X3),X2) = X1
| X2 = zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3384]) ).
cnf(i_0_5131,plain,
X1 = hAPP_real_real(plus_plus_real(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_nat)),zero_zero_real),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257]) ).
cnf(i_0_5132,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X3),X2)
| X1 = X3 ),
inference(rename_variables,[],[i_0_4257]) ).
cnf(i_0_5133,plain,
X1 = esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258]) ).
cnf(i_0_5134,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X1),X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_4258]) ).
cnf(i_0_5135,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(number_number_of_int(pls))),number267125858f_real(zero_zero_int))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597]) ).
cnf(i_0_5136,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X2)),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3597]) ).
cnf(i_0_5137,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(number_number_of_int(pls))),number_number_of_nat(zero_zero_int))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598]) ).
cnf(i_0_5138,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X2)),number_number_of_nat(X1))) ),
inference(rename_variables,[],[i_0_3598]) ).
cnf(i_0_5139,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633]) ).
cnf(i_0_5140,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3633]) ).
cnf(i_0_5141,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694]) ).
cnf(i_0_5142,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(X1),X1)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(rename_variables,[],[i_0_3694]) ).
cnf(i_0_5143,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(min),one_one_int))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774]) ).
cnf(i_0_5144,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_5145,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(pls),one_one_int)),pls)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898]) ).
cnf(i_0_5146,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),zero_zero_real))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)) ),
inference(rename_variables,[],[i_0_3898]) ).
cnf(i_0_5147,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls)))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963]) ).
cnf(i_0_5148,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3963]) ).
cnf(i_0_5149,plain,
zfact(one_one_int) = hAPP_int_int(times_times_int(one_one_int),zfact(hAPP_int_int(minus_minus_int(one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989]) ).
cnf(i_0_5150,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| zfact(X1) = hAPP_int_int(times_times_int(X1),zfact(hAPP_int_int(minus_minus_int(X1),one_one_int))) ),
inference(rename_variables,[],[i_0_3989]) ).
cnf(i_0_5151,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int)),pls)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061]) ).
cnf(i_0_5152,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1)) ),
inference(rename_variables,[],[i_0_4061]) ).
cnf(i_0_5153,plain,
~ hBOOL(member_int(one_one_int,d22set(X1))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098]) ).
cnf(i_0_5154,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(rename_variables,[],[i_0_4098]) ).
cnf(i_0_5155,plain,
hAPP_nat_nat(div_mod_nat(one_one_nat),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(one_one_nat),X1)),one_one_nat)) = one_one_nat,
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137]) ).
cnf(i_0_5156,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat))
| X1 = one_one_nat ),
inference(rename_variables,[],[i_0_4137]) ).
cnf(i_0_5157,plain,
is_int(esk11_2(one_one_int,X1)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167]) ).
cnf(i_0_5158,plain,
( ~ hBOOL(hAPP_int_bool(quadRes(X1),X2))
| is_int(esk11_2(X1,X2)) ),
inference(rename_variables,[],[i_0_4167]) ).
cnf(i_0_5159,plain,
number267125858f_real(one_one_int) != number267125858f_real(zero_zero_int),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194]) ).
cnf(i_0_5160,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4194]) ).
cnf(i_0_5161,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),zero_zero_nat)),X1) = zero_zero_nat,
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324]) ).
cnf(i_0_5162,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != X1
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4324]) ).
cnf(i_0_5163,plain,
( zero_zero_nat = hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_nat)) ),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829]) ).
cnf(i_0_5164,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_5165,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3829]) ).
cnf(i_0_5166,plain,
~ epred1_3(hAPP_real_real(plus_plus_real(hAPP_i1948725293t_bool(ord_less_eq_int,pls)),number267125858f_real(pls)),min,pls),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532]) ).
cnf(i_0_5167,plain,
hAPP_real_real(plus_plus_real(X1),number267125858f_real(pls)) = X1,
inference(rename_variables,[],[i_0_4385]) ).
cnf(i_0_5168,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_real_real(plus_plus_real(min),number267125858f_real(pls)),pls),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533]) ).
cnf(i_0_5169,plain,
hAPP_real_real(plus_plus_real(X1),number267125858f_real(pls)) = X1,
inference(rename_variables,[],[i_0_4385]) ).
cnf(i_0_5170,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,hAPP_int_int(plus_plus_int(pls),pls)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534]) ).
cnf(i_0_5171,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls))),number_number_of_nat(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls))) = number_number_of_nat(hAPP_int_int(times_times_int(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls)),esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684]) ).
cnf(i_0_5172,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(times_times_int(X1),X2)) ),
inference(rename_variables,[],[i_0_3684]) ).
cnf(i_0_5173,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_int_int(plus_plus_int(pls),one_one_int))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880]) ).
cnf(i_0_5174,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X1),X2)) ),
inference(rename_variables,[],[i_0_3880]) ).
cnf(i_0_5175,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk9_0)),zero_zero_int) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk40_3(min,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk9_0)),zero_zero_int),hAPP_i1948725293t_bool(ord_less_int,pls)))),esk41_3(min,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk9_0)),zero_zero_int),hAPP_i1948725293t_bool(ord_less_int,pls))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880,i_0_3089]) ).
cnf(i_0_5176,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk40_3(X1,X2,X3))),esk41_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(rename_variables,[],[i_0_3089]) ).
cnf(i_0_5177,plain,
one_one_int != hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(one_one_int),zero_zero_int)),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880,i_0_3089,i_0_3530]) ).
cnf(i_0_5178,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| X2 != hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),X3)) ),
inference(rename_variables,[],[i_0_3530]) ).
cnf(i_0_5179,plain,
is_int(esk41_3(min,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk9_0)),zero_zero_int),hAPP_i1948725293t_bool(ord_less_int,pls))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880,i_0_3089,i_0_3530,i_0_3833]) ).
cnf(i_0_5180,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| is_int(esk41_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(rename_variables,[],[i_0_3833]) ).
cnf(i_0_5181,plain,
is_int(esk40_3(min,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk9_0)),zero_zero_int),hAPP_i1948725293t_bool(ord_less_int,pls))),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880,i_0_3089,i_0_3530,i_0_3833,i_0_3834]) ).
cnf(i_0_5182,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| is_int(esk40_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(rename_variables,[],[i_0_3834]) ).
cnf(i_0_5183,plain,
( X1 = hAPP_nat_nat(times_times_nat(X1),X1)
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X1),X1)),X1) != zero_zero_nat ),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880,i_0_3089,i_0_3530,i_0_3833,i_0_3834,i_0_4256]) ).
cnf(i_0_5184,plain,
( hAPP_nat_nat(minus_minus_nat(X1),X2) != zero_zero_nat
| hAPP_nat_nat(minus_minus_nat(X2),X1) != zero_zero_nat
| X1 = X2 ),
inference(rename_variables,[],[i_0_4256]) ).
cnf(i_0_5185,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1))
| X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),esk36_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1,X2))),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1,X2)) ),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_5080,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880,i_0_3089,i_0_3530,i_0_3833,i_0_3834,i_0_4256,i_0_3077]) ).
cnf(i_0_5186,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5187,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),esk36_3(X1,X2,X3))),esk37_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_3077]) ).
cnf(i_0_5188,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1,X2))) ),
inference(scs_inference,[],[i_0_4537,i_0_4575,i_0_4908,i_0_4955,i_0_4959,i_0_4976,i_0_4589,i_0_4573,i_0_4566,i_0_4935,i_0_4632,i_0_4886,i_0_4889,i_0_4891,i_0_4893,i_0_5038,i_0_4633,i_0_4914,i_0_4567,i_0_4490,i_0_4618,i_0_5031,i_0_4452,i_0_4459,i_0_4464,i_0_4468,i_0_4469,i_0_4470,i_0_4484,i_0_4485,i_0_4488,i_0_4491,i_0_4353,i_0_4307,i_0_5121,i_0_5125,i_0_4385,i_0_5167,i_0_4413,i_0_4399,i_0_5048,i_0_5051,i_0_5054,i_0_4176,i_0_4810,i_0_4962,i_0_4973,i_0_5022,i_0_5060,i_0_5064,i_0_5076,i_0_5088,i_0_4234,i_0_4843,i_0_4846,i_0_4849,i_0_4875,i_0_4901,i_0_4921,i_0_3997,i_0_4863,i_0_4232,i_0_4869,i_0_4967,i_0_5002,i_0_4119,i_0_4666,i_0_4697,i_0_4860,i_0_4917,i_0_4924,i_0_4927,i_0_4932,i_0_4996,i_0_4999,i_0_5041,i_0_5080,i_0_5186,i_0_4213,i_0_4852,i_0_4855,i_0_4947,i_0_4950,i_0_5030,i_0_4214,i_0_4663,i_0_4920,i_0_5025,i_0_5079,i_0_4215,i_0_4700,i_0_4712,i_0_4907,i_0_4954,i_0_4958,i_0_4216,i_0_4651,i_0_4654,i_0_4657,i_0_4660,i_0_4691,i_0_4694,i_0_4707,i_0_4745,i_0_4770,i_0_4823,i_0_5007,i_0_5072,i_0_5083,i_0_5107,i_0_5111,i_0_5114,i_0_5117,i_0_5120,i_0_5124,i_0_4217,i_0_5017,i_0_5061,i_0_5065,i_0_4209,i_0_4162,i_0_4205,i_0_4805,i_0_4246,i_0_4252,i_0_4254,i_0_4160,i_0_4158,i_0_4245,i_0_4244,i_0_4255,i_0_4248,i_0_4140,i_0_4881,i_0_4898,i_0_4224,i_0_4951,i_0_4066,i_0_4679,i_0_4682,i_0_4062,i_0_4669,i_0_4064,i_0_4069,i_0_4685,i_0_4688,i_0_3592,i_0_4721,i_0_3593,i_0_3874,i_0_4828,i_0_4993,i_0_3600,i_0_4878,i_0_3601,i_0_2899,i_0_2898,i_0_2879,i_0_2779,i_0_2775,i_0_4493,i_0_2998,i_0_3000,i_0_3113,i_0_3115,i_0_3367,i_0_3398,i_0_3446,i_0_3447,i_0_3448,i_0_3449,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3508,i_0_3599,i_0_3606,i_0_3651,i_0_3662,i_0_3663,i_0_3674,i_0_3675,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3750,i_0_3751,i_0_3772,i_0_3830,i_0_3837,i_0_3840,i_0_3841,i_0_3842,i_0_3844,i_0_3846,i_0_3848,i_0_3878,i_0_3889,i_0_3904,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3926,i_0_3932,i_0_3934,i_0_3936,i_0_3959,i_0_3960,i_0_3961,i_0_3962,i_0_3969,i_0_3975,i_0_3977,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4057,i_0_4084,i_0_4089,i_0_4090,i_0_4092,i_0_4094,i_0_4100,i_0_4101,i_0_4109,i_0_4113,i_0_4114,i_0_4115,i_0_4120,i_0_4121,i_0_4122,i_0_4133,i_0_4142,i_0_4204,i_0_4206,i_0_4228,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4574,i_0_4576,i_0_4583,i_0_4585,i_0_4511,i_0_4512,i_0_3818,i_0_3828,i_0_3918,i_0_3922,i_0_4022,i_0_4024,i_0_4243,i_0_4259,i_0_4494,i_0_4535,i_0_4531,i_0_2830,i_0_2893,i_0_2897,i_0_2921,i_0_2931,i_0_3028,i_0_3029,i_0_3090,i_0_3193,i_0_3233,i_0_3234,i_0_3273,i_0_3389,i_0_3394,i_0_3395,i_0_3409,i_0_3427,i_0_3440,i_0_3443,i_0_3444,i_0_3445,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3607,i_0_3618,i_0_3619,i_0_3620,i_0_3655,i_0_3657,i_0_3658,i_0_3661,i_0_3664,i_0_3665,i_0_3670,i_0_3671,i_0_3685,i_0_3688,i_0_3698,i_0_3699,i_0_3713,i_0_3779,i_0_3814,i_0_3850,i_0_3873,i_0_3909,i_0_3924,i_0_3986,i_0_3987,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3237,i_0_3244,i_0_3245,i_0_3438,i_0_3616,i_0_3649,i_0_3666,i_0_3815,i_0_3836,i_0_3906,i_0_4097,i_0_3802,i_0_2761,i_0_3392,i_0_3596,i_0_4000,i_0_3388,i_0_4550,i_0_4551,i_0_4554,i_0_3190,i_0_3208,i_0_3384,i_0_4257,i_0_4258,i_0_3597,i_0_3598,i_0_3633,i_0_3694,i_0_3774,i_0_3898,i_0_3963,i_0_3989,i_0_4061,i_0_4098,i_0_4137,i_0_4167,i_0_4194,i_0_4324,i_0_3829,i_0_4532,i_0_4533,i_0_4534,i_0_3684,i_0_3880,i_0_3089,i_0_3530,i_0_3833,i_0_3834,i_0_4256,i_0_3077,i_0_3294]) ).
cnf(i_0_5189,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5190,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk37_3(X1,X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_3294]) ).
cnf(i_0_5191,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5193,plain,
hBOOL(member_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int),wset(hAPP_int_int(plus_plus_int(one_one_int),one_one_int),X1))),
inference(scs_inference,[],[i_0_4690,i_0_3964]) ).
cnf(i_0_5194,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))),
inference(rename_variables,[],[i_0_4690]) ).
cnf(i_0_5195,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| hBOOL(member_int(X1,wset(X1,X2))) ),
inference(rename_variables,[],[i_0_3964]) ).
cnf(i_0_5196,plain,
is_int(esk22_1(hAPP_int_int(plus_plus_int(one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_4690,i_0_5194,i_0_3964,i_0_4116]) ).
cnf(i_0_5197,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))),
inference(rename_variables,[],[i_0_4690]) ).
cnf(i_0_5198,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| is_int(esk22_1(X1)) ),
inference(rename_variables,[],[i_0_4116]) ).
cnf(i_0_5199,plain,
plus_plus_nat(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)) != plus_plus_nat(zero_zero_nat),
inference(scs_inference,[],[i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508]) ).
cnf(i_0_5200,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(power_power_nat(X2),zero_zero_nat)) != hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),
inference(rename_variables,[],[i_0_5019]) ).
cnf(i_0_5201,plain,
hBOOL(hAPP_int_bool(wset(hAPP_int_int(plus_plus_int(one_one_int),one_one_int),X1),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207]) ).
cnf(i_0_5202,plain,
( ~ hBOOL(member_int(X1,X2))
| hBOOL(hAPP_int_bool(X2,X1)) ),
inference(rename_variables,[],[i_0_4207]) ).
cnf(i_0_5203,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))),X2)),
inference(scs_inference,[],[i_0_4723,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486]) ).
cnf(i_0_5204,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X2)),
inference(rename_variables,[],[i_0_4723]) ).
cnf(i_0_5205,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3486]) ).
cnf(i_0_5206,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(pls)),one_one_int)),
inference(scs_inference,[],[i_0_5141,i_0_4723,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115]) ).
cnf(i_0_5207,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),one_one_int)) ),
inference(rename_variables,[],[i_0_3115]) ).
cnf(i_0_5208,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X2) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),X3),
inference(scs_inference,[],[i_0_4068,i_0_5141,i_0_4723,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662]) ).
cnf(i_0_5209,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3) ),
inference(rename_variables,[],[i_0_3662]) ).
cnf(i_0_5210,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),X3) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X2),
inference(scs_inference,[],[i_0_4068,i_0_5141,i_0_4723,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663]) ).
cnf(i_0_5211,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1) ),
inference(rename_variables,[],[i_0_3663]) ).
cnf(i_0_5212,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X1),one_one_int)),one_one_int)),one_one_int)),X1)),
inference(scs_inference,[],[i_0_4068,i_0_5141,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674]) ).
cnf(i_0_5213,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4709]) ).
cnf(i_0_5214,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rename_variables,[],[i_0_3674]) ).
cnf(i_0_5215,plain,
hAPP_int_int(div_mod_int(X1),one_one_int) = hAPP_int_int(div_mod_int(X2),one_one_int),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_5141,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714]) ).
cnf(i_0_5216,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),X1)),
inference(rename_variables,[],[i_0_4235]) ).
cnf(i_0_5217,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hAPP_int_int(div_mod_int(X2),X1) = hAPP_int_int(div_mod_int(X3),X1) ),
inference(rename_variables,[],[i_0_3714]) ).
cnf(i_0_5218,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))),X3) = hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X3)),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_5141,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732]) ).
cnf(i_0_5219,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1) = hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) ),
inference(rename_variables,[],[i_0_3732]) ).
cnf(i_0_5220,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X3)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3)),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_5141,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733]) ).
cnf(i_0_5221,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),X2) ),
inference(rename_variables,[],[i_0_3733]) ).
cnf(i_0_5222,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X3)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))),X3),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_5141,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734]) ).
cnf(i_0_5223,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1) ),
inference(rename_variables,[],[i_0_3734]) ).
cnf(i_0_5224,plain,
hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),X2),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_5141,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837]) ).
cnf(i_0_5225,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X2),X1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) ),
inference(rename_variables,[],[i_0_3837]) ).
cnf(i_0_5226,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X1,number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int))))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_5141,i_0_4774,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848]) ).
cnf(i_0_5227,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X2,X1))) ),
inference(rename_variables,[],[i_0_3848]) ).
cnf(i_0_5228,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),X2) = hAPP_nat_nat(plus_plus_nat(X1),X2),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_5141,i_0_4774,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889]) ).
cnf(i_0_5229,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) = X2 ),
inference(rename_variables,[],[i_0_3889]) ).
cnf(i_0_5230,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(min))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_5141,i_0_4774,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911]) ).
cnf(i_0_5231,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3911]) ).
cnf(i_0_5232,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(min))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_5141,i_0_4774,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912]) ).
cnf(i_0_5233,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1))) ),
inference(rename_variables,[],[i_0_3912]) ).
cnf(i_0_5234,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(min))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_5141,i_0_4774,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913]) ).
cnf(i_0_5235,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3913]) ).
cnf(i_0_5236,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_5141,i_0_4774,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915]) ).
cnf(i_0_5237,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)) ),
inference(rename_variables,[],[i_0_3915]) ).
cnf(i_0_5238,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X2),zero_zero_int),X2)),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934]) ).
cnf(i_0_5239,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3934]) ).
cnf(i_0_5240,plain,
hAPP_nat_nat(div_mod_nat(zero_zero_nat),esk17_2(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat))) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),esk17_2(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat)))),esk17_2(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936]) ).
cnf(i_0_5241,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X2) ),
inference(rename_variables,[],[i_0_3936]) ).
cnf(i_0_5242,plain,
~ hBOOL(member_int(number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int)),d22set(zero_zero_int))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969]) ).
cnf(i_0_5243,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(member_int(X2,d22set(X1))) ),
inference(rename_variables,[],[i_0_3969]) ).
cnf(i_0_5244,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),X1)) = hAPP_nat_nat(plus_plus_nat(X2),X1),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978]) ).
cnf(i_0_5245,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X2 ),
inference(rename_variables,[],[i_0_3978]) ).
cnf(i_0_5246,plain,
hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk32_2(zero_zero_nat,number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))) = number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993]) ).
cnf(i_0_5247,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X1),esk32_2(X1,X2)) = X2 ),
inference(rename_variables,[],[i_0_3993]) ).
cnf(i_0_5248,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(X2),esk14_2(X2,hAPP_nat_nat(plus_plus_nat(X1),X2))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994]) ).
cnf(i_0_5249,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = hAPP_nat_nat(plus_plus_nat(X1),esk14_2(X1,X2)) ),
inference(rename_variables,[],[i_0_3994]) ).
cnf(i_0_5250,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(hAPP_int_int(minus_minus_int(pls),one_one_int))),number_number_of_nat(X1)) = number_number_of_nat(X1),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4706,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003]) ).
cnf(i_0_5251,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5252,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(X2) ),
inference(rename_variables,[],[i_0_4003]) ).
cnf(i_0_5253,plain,
hAPP_int_int(div_mod_int(number_number_of_int(min)),number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int))) = hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int))),one_one_int),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4706,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018]) ).
cnf(i_0_5254,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(number_number_of_int(min)),X1) = hAPP_int_int(minus_minus_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_4018]) ).
cnf(i_0_5255,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))),number_number_of_nat(X1)) = number_number_of_nat(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(pls),one_one_int)),X1)),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4706,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056]) ).
cnf(i_0_5256,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(times_times_int(X1),X2)) ),
inference(rename_variables,[],[i_0_4056]) ).
cnf(i_0_5257,plain,
~ hBOOL(member_int(pls,d22set(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int)))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084]) ).
cnf(i_0_5258,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(rename_variables,[],[i_0_4084]) ).
cnf(i_0_5259,plain,
hAPP_nat_nat(div_mod_nat(number_number_of_nat(pls)),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))) = number_number_of_nat(pls),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089]) ).
cnf(i_0_5260,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) = X1 ),
inference(rename_variables,[],[i_0_4089]) ).
cnf(i_0_5261,plain,
is_int(esk23_2(X1,number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int)))),
inference(scs_inference,[],[i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090]) ).
cnf(i_0_5262,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| is_int(esk23_2(X2,X1)) ),
inference(rename_variables,[],[i_0_4090]) ).
cnf(i_0_5263,plain,
~ hBOOL(member_int(t,d22set(X1))),
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098]) ).
cnf(i_0_5264,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(rename_variables,[],[i_0_4098]) ).
cnf(i_0_5265,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1)),hAPP_nat_nat(minus_minus_nat(zero_zero_nat),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1))) = zero_zero_nat,
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100]) ).
cnf(i_0_5266,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),X2)) = X1 ),
inference(rename_variables,[],[i_0_4100]) ).
cnf(i_0_5267,plain,
legendre(X1,hAPP_int_int(minus_minus_int(X1),zero_zero_int)) = zero_zero_int,
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101]) ).
cnf(i_0_5268,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(minus_minus_int(X1),X2))),
inference(rename_variables,[],[i_0_4699]) ).
cnf(i_0_5269,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| legendre(X1,X2) = zero_zero_int ),
inference(rename_variables,[],[i_0_4101]) ).
cnf(i_0_5270,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)) != zero_zero_nat,
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113]) ).
cnf(i_0_5271,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(rename_variables,[],[i_0_4113]) ).
cnf(i_0_5272,plain,
zero_zero_nat != number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114]) ).
cnf(i_0_5273,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4114]) ).
cnf(i_0_5274,plain,
zfact(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(zero_zero_int),one_one_int)),one_one_int)) = one_one_int,
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121]) ).
cnf(i_0_5275,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4709]) ).
cnf(i_0_5276,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| zfact(X1) = one_one_int ),
inference(rename_variables,[],[i_0_4121]) ).
cnf(i_0_5277,plain,
hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),X2) = zero_zero_nat,
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133]) ).
cnf(i_0_5278,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4133]) ).
cnf(i_0_5279,plain,
zero_zero_nat = hAPP_nat_nat(times_times_nat(X1),esk35_2(zero_zero_nat,X1)),
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204]) ).
cnf(i_0_5280,plain,
( hAPP_nat_nat(div_mod_nat(X1),X2) != zero_zero_nat
| X1 = hAPP_nat_nat(times_times_nat(X2),esk35_2(X1,X2)) ),
inference(rename_variables,[],[i_0_4204]) ).
cnf(i_0_5281,plain,
hBOOL(member_int(X1,hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int))),
inference(scs_inference,[],[i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206]) ).
cnf(i_0_5282,plain,
( ~ hBOOL(hAPP_int_bool(X1,X2))
| hBOOL(member_int(X2,X1)) ),
inference(rename_variables,[],[i_0_4206]) ).
cnf(i_0_5283,plain,
is_int(esk26_2(zero_zero_int,hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262]) ).
cnf(i_0_5284,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| is_int(esk26_2(X2,X1)) ),
inference(rename_variables,[],[i_0_4262]) ).
cnf(i_0_5285,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(zero_zero_nat),zero_zero_nat)),zero_zero_nat,zero_zero_nat) = zero_zero_nat,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326]) ).
cnf(i_0_5286,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_4995]) ).
cnf(i_0_5287,plain,
( X1 != hAPP_nat_nat(plus_plus_nat(X1),X2)
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4326]) ).
cnf(i_0_5288,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546]) ).
cnf(i_0_5289,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3)),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X4) ),
inference(rename_variables,[],[i_0_4546]) ).
cnf(i_0_5290,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(number_number_of_nat(pls)),number_number_of_nat(pls))),X1)),X2) = X2,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547]) ).
cnf(i_0_5291,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(pls)),number_number_of_nat(X1))),
inference(rename_variables,[],[i_0_4744]) ).
cnf(i_0_5292,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),X3) = X3 ),
inference(rename_variables,[],[i_0_4547]) ).
cnf(i_0_5293,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(number_number_of_nat(pls)),number_number_of_nat(pls))),X2)),X1),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548]) ).
cnf(i_0_5294,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(pls)),number_number_of_nat(X1))),
inference(rename_variables,[],[i_0_4744]) ).
cnf(i_0_5295,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X3)),X2) ),
inference(rename_variables,[],[i_0_4548]) ).
cnf(i_0_5296,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),X2),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583]) ).
cnf(i_0_5297,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) ),
inference(rename_variables,[],[i_0_4583]) ).
cnf(i_0_5298,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(pls)),one_one_real)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113]) ).
cnf(i_0_5299,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real)) ),
inference(rename_variables,[],[i_0_3113]) ).
cnf(i_0_5300,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X2))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398]) ).
cnf(i_0_5301,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4696]) ).
cnf(i_0_5302,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2))) ),
inference(rename_variables,[],[i_0_3398]) ).
cnf(i_0_5303,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(times_times_nat(X1),X3)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448]) ).
cnf(i_0_5304,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X1))),
inference(rename_variables,[],[i_0_4065]) ).
cnf(i_0_5305,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3448]) ).
cnf(i_0_5306,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(times_times_nat(X3),X1)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449]) ).
cnf(i_0_5307,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X1))),
inference(rename_variables,[],[i_0_4065]) ).
cnf(i_0_5308,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3449]) ).
cnf(i_0_5309,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(number_number_of_int(pls))),number_number_of_int(zero_zero_int))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599]) ).
cnf(i_0_5310,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X2)),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3599]) ).
cnf(i_0_5311,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606]) ).
cnf(i_0_5312,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4696]) ).
cnf(i_0_5313,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3606]) ).
cnf(i_0_5314,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X4)),X2)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751]) ).
cnf(i_0_5315,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X1)),
inference(rename_variables,[],[i_0_4720]) ).
cnf(i_0_5316,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3751]) ).
cnf(i_0_5317,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),X2))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772]) ).
cnf(i_0_5318,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5319,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(zero_zero_nat,number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830]) ).
cnf(i_0_5320,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(X1,X2))) ),
inference(rename_variables,[],[i_0_3830]) ).
cnf(i_0_5321,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(zero_zero_int)),number267125858f_real(number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int))))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840]) ).
cnf(i_0_5322,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(rename_variables,[],[i_0_3840]) ).
cnf(i_0_5323,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(zero_zero_int)),number_number_of_int(number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int))))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844]) ).
cnf(i_0_5324,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(rename_variables,[],[i_0_3844]) ).
cnf(i_0_5325,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(pls),one_one_int)),one_one_int))),number_number_of_nat(X1))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5275,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878]) ).
cnf(i_0_5326,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4709]) ).
cnf(i_0_5327,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(rename_variables,[],[i_0_3878]) ).
cnf(i_0_5328,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X1),X2),X1),X2)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5275,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904]) ).
cnf(i_0_5329,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X2,X1),X3)) ),
inference(rename_variables,[],[i_0_3904]) ).
cnf(i_0_5330,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5275,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960]) ).
cnf(i_0_5331,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3960]) ).
cnf(i_0_5332,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)) = X2,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_4709,i_0_5213,i_0_5275,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977]) ).
cnf(i_0_5333,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X2),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X1 ),
inference(rename_variables,[],[i_0_3977]) ).
cnf(i_0_5334,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(minus_minus_int(pls),one_one_int))),number_number_of_nat(X1)) = zero_zero_nat,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4709,i_0_5213,i_0_5275,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057]) ).
cnf(i_0_5335,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5336,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4057]) ).
cnf(i_0_5337,plain,
zero_zero_real != esk13_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4709,i_0_5213,i_0_5275,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109]) ).
cnf(i_0_5338,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4109]) ).
cnf(i_0_5339,plain,
esk32_2(zero_zero_nat,hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)) != zero_zero_nat,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115]) ).
cnf(i_0_5340,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != zero_zero_nat ),
inference(rename_variables,[],[i_0_4115]) ).
cnf(i_0_5341,plain,
number_number_of_nat(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(pls),one_one_int)),one_one_int)) = zero_zero_nat,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120]) ).
cnf(i_0_5342,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4709]) ).
cnf(i_0_5343,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| number_number_of_nat(X1) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4120]) ).
cnf(i_0_5344,plain,
zero_zero_nat = number_number_of_nat(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(pls),one_one_int)),one_one_int)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4720,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122]) ).
cnf(i_0_5345,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4709]) ).
cnf(i_0_5346,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| zero_zero_nat = number_number_of_nat(X1) ),
inference(rename_variables,[],[i_0_4122]) ).
cnf(i_0_5347,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X2)),X3)),X1)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4720,i_0_5315,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585]) ).
cnf(i_0_5348,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X1)),
inference(rename_variables,[],[i_0_4720]) ).
cnf(i_0_5349,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_4585]) ).
cnf(i_0_5350,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),X3))),X3))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4720,i_0_5315,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367]) ).
cnf(i_0_5351,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5352,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2))) ),
inference(rename_variables,[],[i_0_3367]) ).
cnf(i_0_5353,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X1),X2)),hAPP_int_int(minus_minus_int(X3),X3)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651]) ).
cnf(i_0_5354,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4953]) ).
cnf(i_0_5355,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hBOOL(hAPP_int_bool(zcong(X2,X3),X1)) ),
inference(rename_variables,[],[i_0_3651]) ).
cnf(i_0_5356,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X4)),X1)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750]) ).
cnf(i_0_5357,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X1)),
inference(rename_variables,[],[i_0_4720]) ).
cnf(i_0_5358,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(rename_variables,[],[i_0_3750]) ).
cnf(i_0_5359,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(zero_zero_int)),number_number_of_nat(hAPP_int_int(times_times_int(X1),X1)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4082,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842]) ).
cnf(i_0_5360,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(rename_variables,[],[i_0_3842]) ).
cnf(i_0_5361,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(zero_zero_int)),number_number_of_int(hAPP_int_int(times_times_int(X1),X1)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4082,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846]) ).
cnf(i_0_5362,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(rename_variables,[],[i_0_3846]) ).
cnf(i_0_5363,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),esk13_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4082,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926]) ).
cnf(i_0_5364,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(rename_variables,[],[i_0_3926]) ).
cnf(i_0_5365,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_4159,i_0_4082,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975]) ).
cnf(i_0_5366,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3975]) ).
cnf(i_0_5367,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X1)) = zero_zero_nat,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092]) ).
cnf(i_0_5368,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X1),X2) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4092]) ).
cnf(i_0_5369,plain,
hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X1),zero_zero_int)) = zero_zero_int,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094]) ).
cnf(i_0_5370,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(minus_minus_int(X1),X2))),
inference(rename_variables,[],[i_0_4699]) ).
cnf(i_0_5371,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| hAPP_int_int(div_mod_int(X1),X2) = zero_zero_int ),
inference(rename_variables,[],[i_0_4094]) ).
cnf(i_0_5372,plain,
esk17_2(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat)) = zero_zero_nat,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228]) ).
cnf(i_0_5373,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4228]) ).
cnf(i_0_5374,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X3)),X2)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574]) ).
cnf(i_0_5375,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3875]) ).
cnf(i_0_5376,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X2)))
| hBOOL(hAPP_nat_bool(X1,X3)) ),
inference(rename_variables,[],[i_0_4574]) ).
cnf(i_0_5377,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X2)),X1)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576]) ).
cnf(i_0_5378,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3875]) ).
cnf(i_0_5379,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat)))
| hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_4576]) ).
cnf(i_0_5380,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X2),hAPP_real_real(times_times_real(X1),X3)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446]) ).
cnf(i_0_5381,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X2),X1))),
inference(rename_variables,[],[i_0_4063]) ).
cnf(i_0_5382,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X3)) ),
inference(rename_variables,[],[i_0_3446]) ).
cnf(i_0_5383,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X2),hAPP_real_real(times_times_real(X3),X1)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447]) ).
cnf(i_0_5384,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X2),X1))),
inference(rename_variables,[],[i_0_4063]) ).
cnf(i_0_5385,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X2),X3)) ),
inference(rename_variables,[],[i_0_3447]) ).
cnf(i_0_5386,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X3)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453]) ).
cnf(i_0_5387,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5388,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3453]) ).
cnf(i_0_5389,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X3),X1)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454]) ).
cnf(i_0_5390,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5391,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3454]) ).
cnf(i_0_5392,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X1),X3)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455]) ).
cnf(i_0_5393,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),X1))),
inference(rename_variables,[],[i_0_4070]) ).
cnf(i_0_5394,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(rename_variables,[],[i_0_3455]) ).
cnf(i_0_5395,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X3),X1)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456]) ).
cnf(i_0_5396,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),X1))),
inference(rename_variables,[],[i_0_4070]) ).
cnf(i_0_5397,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3)) ),
inference(rename_variables,[],[i_0_3456]) ).
cnf(i_0_5398,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(one_one_int)),number267125858f_real(zero_zero_int))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597]) ).
cnf(i_0_5399,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X2)),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3597]) ).
cnf(i_0_5400,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(pls))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598]) ).
cnf(i_0_5401,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X2)),number_number_of_nat(X1))) ),
inference(rename_variables,[],[i_0_3598]) ).
cnf(i_0_5402,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(zero_zero_int)),number267125858f_real(hAPP_int_int(times_times_int(X1),X1)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841]) ).
cnf(i_0_5403,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(rename_variables,[],[i_0_3841]) ).
cnf(i_0_5404,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_real_real(plus_plus_real(X1),zero_zero_real)),X1)),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5074,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932]) ).
cnf(i_0_5405,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1)) ),
inference(rename_variables,[],[i_0_3932]) ).
cnf(i_0_5406,plain,
hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),zero_zero_real)),X2) = zero_zero_real,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5074,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142]) ).
cnf(i_0_5407,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X2),X1)),X3))),
inference(rename_variables,[],[i_0_4671]) ).
cnf(i_0_5408,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),X1))
| X1 = zero_zero_real ),
inference(rename_variables,[],[i_0_4142]) ).
cnf(i_0_5409,plain,
X1 = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_nat),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257]) ).
cnf(i_0_5410,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat),
inference(rename_variables,[],[i_0_4857]) ).
cnf(i_0_5411,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X3),X2)
| X1 = X3 ),
inference(rename_variables,[],[i_0_4257]) ).
cnf(i_0_5412,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963]) ).
cnf(i_0_5413,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3963]) ).
cnf(i_0_5414,plain,
number_number_of_nat(hAPP_int_int(minus_minus_int(pls),one_one_int)) = zero_zero_nat,
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324]) ).
cnf(i_0_5415,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != X1
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4324]) ).
cnf(i_0_5416,plain,
X1 = esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat),
inference(scs_inference,[],[i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258]) ).
cnf(i_0_5417,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_4998]) ).
cnf(i_0_5418,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X1),X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_4258]) ).
cnf(i_0_5419,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat) = X1,
inference(scs_inference,[],[i_0_5133,i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493]) ).
cnf(i_0_5420,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) != hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5094,i_0_4643,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985]) ).
cnf(i_0_5421,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))),
inference(rename_variables,[],[i_0_4690]) ).
cnf(i_0_5422,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| hAPP_nat_int(power_power_int(X1),X2) != hAPP_nat_int(power_power_int(X1),X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_3985]) ).
cnf(i_0_5423,plain,
hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X1) != hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(one_one_int)),number267125858f_real(zero_zero_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530]) ).
cnf(i_0_5424,plain,
hBOOL(member_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int),d22set(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740]) ).
cnf(i_0_5425,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5426,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))),
inference(rename_variables,[],[i_0_4690]) ).
cnf(i_0_5427,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| hBOOL(member_int(X1,d22set(X2))) ),
inference(rename_variables,[],[i_0_3740]) ).
cnf(i_0_5428,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),X2))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271]) ).
cnf(i_0_5429,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2))),
inference(rename_variables,[],[i_0_4665]) ).
cnf(i_0_5430,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_3271]) ).
cnf(i_0_5431,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,esk13_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),zero_zero_real)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410]) ).
cnf(i_0_5432,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X1)),zero_zero_real)),
inference(rename_variables,[],[i_0_3600]) ).
cnf(i_0_5433,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2)) ),
inference(rename_variables,[],[i_0_3410]) ).
cnf(i_0_5434,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(minus_minus_int(zero_zero_int),one_one_int))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3601,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428]) ).
cnf(i_0_5435,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X1)),zero_zero_int)),
inference(rename_variables,[],[i_0_3601]) ).
cnf(i_0_5436,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5437,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(rename_variables,[],[i_0_3428]) ).
cnf(i_0_5438,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),X2))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3601,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142]) ).
cnf(i_0_5439,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(rename_variables,[],[i_0_3142]) ).
cnf(i_0_5440,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X2),hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(X3),X2)),X2)),X2)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3601,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623]) ).
cnf(i_0_5441,plain,
hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(div_mod_int(X1),X2)),X2)),
inference(rename_variables,[],[i_0_3839]) ).
cnf(i_0_5442,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X4,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X1),X3)) ),
inference(rename_variables,[],[i_0_3623]) ).
cnf(i_0_5443,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),X3))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3601,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656]) ).
cnf(i_0_5444,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4067]) ).
cnf(i_0_5445,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)) ),
inference(rename_variables,[],[i_0_3656]) ).
cnf(i_0_5446,plain,
zero_zero_nat = esk17_2(hAPP_nat_nat(power_power_nat(X1),zero_zero_nat),hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4866,i_0_5094,i_0_4643,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3601,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922]) ).
cnf(i_0_5447,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_5448,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3922]) ).
cnf(i_0_5449,plain,
hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real) = hAPP_int_int(plus_plus_int(esk35_2(hAPP_nat_nat(times_times_nat(one_one_nat),hAPP_int_int(minus_minus_int(hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),X1)),one_one_nat)),X1),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3601,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259]) ).
cnf(i_0_5450,plain,
X1 = esk35_2(hAPP_nat_nat(times_times_nat(one_one_nat),X1),one_one_nat),
inference(rename_variables,[],[i_0_4883]) ).
cnf(i_0_5451,plain,
( hAPP_int_int(minus_minus_int(X1),X2) != X3
| X1 = hAPP_int_int(plus_plus_int(X3),X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4259]) ).
cnf(i_0_5452,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(X4),hAPP_nat_nat(power_power_nat(X5),zero_zero_nat)))),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X4))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4216,i_0_3600,i_0_3601,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893]) ).
cnf(i_0_5453,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(power_power_nat(X3),zero_zero_nat)))),X2)),
inference(rename_variables,[],[i_0_4929]) ).
cnf(i_0_5454,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_5455,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X3),X3)),X4)))),X5)),hAPP_int_int(plus_plus_int(X1),X5))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4987,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931]) ).
cnf(i_0_5456,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X1)),
inference(rename_variables,[],[i_0_4215]) ).
cnf(i_0_5457,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X2),X2)),X3))),
inference(rename_variables,[],[i_0_4987]) ).
cnf(i_0_5458,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X3),X4))),X5)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(plus_plus_int(X2),X5)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X4)) ),
inference(rename_variables,[],[i_0_2931]) ).
cnf(i_0_5459,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),X1)),X2)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),X2)),zero_zero_nat),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4987,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029]) ).
cnf(i_0_5460,plain,
X1 = hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat),
inference(rename_variables,[],[i_0_4633]) ).
cnf(i_0_5461,plain,
( X1 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5) ),
inference(rename_variables,[],[i_0_3029]) ).
cnf(i_0_5462,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),esk36_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1,number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1,number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_4665,i_0_4953,i_0_4671,i_0_4987,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090]) ).
cnf(i_0_5463,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5464,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),esk36_3(X1,X2,X3))),esk37_3(X1,X2,X3))
| X3 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3090]) ).
cnf(i_0_5465,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),zero_zero_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1)))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_4665,i_0_4953,i_0_4671,i_0_4987,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233]) ).
cnf(i_0_5466,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4696]) ).
cnf(i_0_5467,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(X1,esk16_3(X1,X2,X3))) ),
inference(rename_variables,[],[i_0_3233]) ).
cnf(i_0_5468,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),zero_zero_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1)))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4665,i_0_4953,i_0_4671,i_0_4987,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234]) ).
cnf(i_0_5469,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4696]) ).
cnf(i_0_5470,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(X1,esk15_3(X1,X2,X3))) ),
inference(rename_variables,[],[i_0_3234]) ).
cnf(i_0_5471,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4665,i_0_4953,i_0_4671,i_0_4987,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389]) ).
cnf(i_0_5472,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1))),
inference(rename_variables,[],[i_0_5139]) ).
cnf(i_0_5473,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk37_3(X1,X2,X3)))
| X3 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3389]) ).
cnf(i_0_5474,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X1),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X2),X2)),X3))),hAPP_int_int(minus_minus_int(X4),X4))),X1)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4665,i_0_4953,i_0_5354,i_0_4671,i_0_4987,i_0_5457,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444]) ).
cnf(i_0_5475,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4953]) ).
cnf(i_0_5476,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X2),X2)),X3))),
inference(rename_variables,[],[i_0_4987]) ).
cnf(i_0_5477,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(div_mod_int(X2),X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(rename_variables,[],[i_0_3444]) ).
cnf(i_0_5478,plain,
hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real) = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X1),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),esk10_3(X1,hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real),hAPP_int_int(minus_minus_int(X1),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4665,i_0_4953,i_0_5354,i_0_4671,i_0_4987,i_0_5457,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519]) ).
cnf(i_0_5479,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(minus_minus_int(X1),X2))),
inference(rename_variables,[],[i_0_4699]) ).
cnf(i_0_5480,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| X2 = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X3),esk10_3(X1,X2,X3)))
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3519]) ).
cnf(i_0_5481,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X2)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4665,i_0_4953,i_0_5354,i_0_4671,i_0_4987,i_0_5457,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529]) ).
cnf(i_0_5482,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),hAPP_nat_nat(minus_minus_nat(X3),X1)) = hAPP_nat_nat(minus_minus_nat(X2),X3) ),
inference(rename_variables,[],[i_0_3529]) ).
cnf(i_0_5483,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4665,i_0_4953,i_0_5354,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603]) ).
cnf(i_0_5484,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X2)),
inference(rename_variables,[],[i_0_4851]) ).
cnf(i_0_5485,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3603]) ).
cnf(i_0_5486,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(minus_minus_int(X1),X1)))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604]) ).
cnf(i_0_5487,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4953]) ).
cnf(i_0_5488,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(rename_variables,[],[i_0_3604]) ).
cnf(i_0_5489,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(minus_minus_int(one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605]) ).
cnf(i_0_5490,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(minus_minus_int(X1),X1),zero_zero_int),X2)),
inference(rename_variables,[],[i_0_4763]) ).
cnf(i_0_5491,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5492,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3605]) ).
cnf(i_0_5493,plain,
zero_zero_nat = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1)),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),zero_zero_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664]) ).
cnf(i_0_5494,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4696]) ).
cnf(i_0_5495,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| X2 = hAPP_nat_nat(plus_plus_nat(X3),esk16_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_3664]) ).
cnf(i_0_5496,plain,
zero_zero_nat = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1)),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),zero_zero_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665]) ).
cnf(i_0_5497,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4696]) ).
cnf(i_0_5498,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| X2 = hAPP_nat_nat(plus_plus_nat(X3),esk15_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_3665]) ).
cnf(i_0_5499,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685]) ).
cnf(i_0_5500,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X1),X2)) ),
inference(rename_variables,[],[i_0_3685]) ).
cnf(i_0_5501,plain,
hAPP_nat_nat(plus_plus_nat(zero_zero_nat),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) != hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779]) ).
cnf(i_0_5502,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| hAPP_nat_nat(plus_plus_nat(X1),X4) != hAPP_nat_nat(plus_plus_nat(X3),X2) ),
inference(rename_variables,[],[i_0_3779]) ).
cnf(i_0_5503,plain,
is_int(esk10_3(X1,hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real),hAPP_int_int(minus_minus_int(X1),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814]) ).
cnf(i_0_5504,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(minus_minus_int(X1),X2))),
inference(rename_variables,[],[i_0_4699]) ).
cnf(i_0_5505,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| is_int(esk10_3(X1,X2,X3))
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3814]) ).
cnf(i_0_5506,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(pls)),number_number_of_nat(hAPP_int_int(minus_minus_int(pls),one_one_int))) = number_number_of_nat(pls),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873]) ).
cnf(i_0_5507,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5508,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(X1) ),
inference(rename_variables,[],[i_0_3873]) ).
cnf(i_0_5509,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(hAPP_real_real(times_times_real(one_one_real),zero_zero_nat)),X1))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004]) ).
cnf(i_0_5510,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1))),
inference(rename_variables,[],[i_0_5139]) ).
cnf(i_0_5511,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5512,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2))
| X3 != zero_zero_nat ),
inference(rename_variables,[],[i_0_4004]) ).
cnf(i_0_5513,plain,
~ hBOOL(hAPP_int_bool(zprime,t)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4463,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117]) ).
cnf(i_0_5514,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(hAPP_int_bool(zprime,X1))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4117]) ).
cnf(i_0_5515,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),zero_zero_int,hAPP_real_real(times_times_real(one_one_real),zero_zero_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4463,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123]) ).
cnf(i_0_5516,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5517,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| X3 != zero_zero_int
| ~ epred1_3(X1,X2,X3) ),
inference(rename_variables,[],[i_0_4123]) ).
cnf(i_0_5518,plain,
hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real) = hAPP_int_int(times_times_int(one_one_int),esk34_2(hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_4463,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174]) ).
cnf(i_0_5519,plain,
hAPP_int_int(div_mod_int(X1),one_one_int) = zero_zero_int,
inference(rename_variables,[],[i_0_4804]) ).
cnf(i_0_5520,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| X1 = hAPP_int_int(times_times_int(X2),esk34_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4174]) ).
cnf(i_0_5521,plain,
hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real) = hAPP_int_int(times_times_int(one_one_int),esk33_2(hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_4463,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175]) ).
cnf(i_0_5522,plain,
hAPP_int_int(div_mod_int(X1),one_one_int) = zero_zero_int,
inference(rename_variables,[],[i_0_4804]) ).
cnf(i_0_5523,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| X1 = hAPP_int_int(times_times_int(X2),esk33_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4175]) ).
cnf(i_0_5524,plain,
is_int(esk34_2(hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_4463,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236]) ).
cnf(i_0_5525,plain,
hAPP_int_int(div_mod_int(X1),one_one_int) = zero_zero_int,
inference(rename_variables,[],[i_0_4804]) ).
cnf(i_0_5526,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| is_int(esk34_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4236]) ).
cnf(i_0_5527,plain,
is_int(esk33_2(hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237]) ).
cnf(i_0_5528,plain,
hAPP_int_int(div_mod_int(X1),one_one_int) = zero_zero_int,
inference(rename_variables,[],[i_0_4804]) ).
cnf(i_0_5529,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| is_int(esk33_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4237]) ).
cnf(i_0_5530,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X1),X2)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256]) ).
cnf(i_0_5531,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2) = X1,
inference(rename_variables,[],[i_0_4169]) ).
cnf(i_0_5532,plain,
( hAPP_nat_nat(minus_minus_nat(X1),X2) != zero_zero_nat
| hAPP_nat_nat(minus_minus_nat(X2),X1) != zero_zero_nat
| X1 = X2 ),
inference(rename_variables,[],[i_0_4256]) ).
cnf(i_0_5533,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),X2))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_4671,i_0_4987,i_0_5457,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394]) ).
cnf(i_0_5534,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),X3))),
inference(rename_variables,[],[i_0_4984]) ).
cnf(i_0_5535,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| X1 = one_one_nat ),
inference(rename_variables,[],[i_0_3394]) ).
cnf(i_0_5536,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X1),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X2),X2)),X3))),hAPP_int_int(minus_minus_int(X4),X4))),X1)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445]) ).
cnf(i_0_5537,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4953]) ).
cnf(i_0_5538,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X2),X2)),X3))),
inference(rename_variables,[],[i_0_4987]) ).
cnf(i_0_5539,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(rename_variables,[],[i_0_3445]) ).
cnf(i_0_5540,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670]) ).
cnf(i_0_5541,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X2)),
inference(rename_variables,[],[i_0_4851]) ).
cnf(i_0_5542,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3670]) ).
cnf(i_0_5543,plain,
hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) = number_number_of_nat(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684]) ).
cnf(i_0_5544,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))
| hAPP_nat_nat(times_times_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(times_times_int(X1),X2)) ),
inference(rename_variables,[],[i_0_3684]) ).
cnf(i_0_5545,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),X1)),X2) = zero_zero_nat,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829]) ).
cnf(i_0_5546,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_5547,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3829]) ).
cnf(i_0_5548,plain,
zero_zero_nat = hAPP_nat_nat(times_times_nat(zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024]) ).
cnf(i_0_5549,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(zero_zero_nat),X1))),
inference(rename_variables,[],[i_0_4934]) ).
cnf(i_0_5550,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(power_power_nat(X2),zero_zero_nat))),X1)),
inference(rename_variables,[],[i_0_4903]) ).
cnf(i_0_5551,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_4024]) ).
cnf(i_0_5552,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X4)),X2)),X3))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897]) ).
cnf(i_0_5553,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5554,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)) ),
inference(rename_variables,[],[i_0_2897]) ).
cnf(i_0_5555,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440]) ).
cnf(i_0_5556,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X1))),
inference(rename_variables,[],[i_0_4065]) ).
cnf(i_0_5557,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3440]) ).
cnf(i_0_5558,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),X3))),X1)),X3)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443]) ).
cnf(i_0_5559,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X2)),
inference(rename_variables,[],[i_0_4851]) ).
cnf(i_0_5560,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),
inference(rename_variables,[],[i_0_4676]) ).
cnf(i_0_5561,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2)) ),
inference(rename_variables,[],[i_0_3443]) ).
cnf(i_0_5562,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(minus_minus_int(X1),X1))),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671]) ).
cnf(i_0_5563,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4953]) ).
cnf(i_0_5564,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(rename_variables,[],[i_0_3671]) ).
cnf(i_0_5565,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(div_mod_nat(X1),hAPP_real_real(times_times_real(one_one_real),zero_zero_nat))),X2)),X1)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_5516,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909]) ).
cnf(i_0_5566,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3875]) ).
cnf(i_0_5567,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5568,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(X1,X2))
| X3 != zero_zero_nat ),
inference(rename_variables,[],[i_0_3909]) ).
cnf(i_0_5569,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,esk13_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),zero_zero_real)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_4431,i_0_5511,i_0_5516,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818]) ).
cnf(i_0_5570,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3818]) ).
cnf(i_0_5571,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X2))),X2))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_4431,i_0_5511,i_0_5516,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193]) ).
cnf(i_0_5572,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5573,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4067]) ).
cnf(i_0_5574,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3193]) ).
cnf(i_0_5575,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(zero_zero_nat),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_4431,i_0_5511,i_0_5516,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924]) ).
cnf(i_0_5576,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),X1)),
inference(rename_variables,[],[i_0_4949]) ).
cnf(i_0_5577,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3924]) ).
cnf(i_0_5578,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),X3)),X2)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_4431,i_0_5511,i_0_5516,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273]) ).
cnf(i_0_5579,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4)) ),
inference(rename_variables,[],[i_0_3273]) ).
cnf(i_0_5580,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X2)))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_4431,i_0_5511,i_0_5516,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688]) ).
cnf(i_0_5581,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X1))),
inference(rename_variables,[],[i_0_4065]) ).
cnf(i_0_5582,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3688]) ).
cnf(i_0_5583,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_real_real(times_times_real(one_one_real),hAPP_nat_nat(plus_plus_nat(X1),X2))),X1)),X3)),X2)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850]) ).
cnf(i_0_5584,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3875]) ).
cnf(i_0_5585,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5586,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(X1,X4))
| X2 != hAPP_nat_nat(plus_plus_nat(X3),X4) ),
inference(rename_variables,[],[i_0_3850]) ).
cnf(i_0_5587,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),X2) = hAPP_nat_nat(times_times_nat(zero_zero_nat),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),X2)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828]) ).
cnf(i_0_5588,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X1))),
inference(rename_variables,[],[i_0_4065]) ).
cnf(i_0_5589,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),X3))),
inference(rename_variables,[],[i_0_4984]) ).
cnf(i_0_5590,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3828]) ).
cnf(i_0_5591,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_nat)),zero_zero_nat)),zero_zero_nat) = X1,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986]) ).
cnf(i_0_5592,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5593,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat) = X1,
inference(rename_variables,[],[i_0_4747]) ).
cnf(i_0_5594,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 != hAPP_nat_nat(plus_plus_nat(X3),X1)
| hAPP_nat_nat(minus_minus_nat(X2),X1) = X3 ),
inference(rename_variables,[],[i_0_3986]) ).
cnf(i_0_5595,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),hAPP_nat_nat(times_times_nat(X3),X2))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655]) ).
cnf(i_0_5596,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),X1))),
inference(rename_variables,[],[i_0_4065]) ).
cnf(i_0_5597,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X3),X1)) ),
inference(rename_variables,[],[i_0_3655]) ).
cnf(i_0_5598,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(zero_zero_int),one_one_int)),one_one_int)),hAPP_int_int(times_times_int(X1),X1))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658]) ).
cnf(i_0_5599,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4709]) ).
cnf(i_0_5600,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X1)) ),
inference(rename_variables,[],[i_0_3658]) ).
cnf(i_0_5601,plain,
X1 = esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk35_2(hAPP_nat_nat(times_times_nat(one_one_nat),X1),one_one_nat))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk35_2(hAPP_nat_nat(times_times_nat(one_one_nat),X1),one_one_nat)),zero_zero_nat),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494]) ).
cnf(i_0_5602,plain,
X1 = esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat),
inference(rename_variables,[],[i_0_5133]) ).
cnf(i_0_5603,plain,
is_bool(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(hAPP_real_bool(X1,X2)),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(hAPP_real_bool(X1,X2)),zero_zero_real)),zero_zero_nat)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535]) ).
cnf(i_0_5604,plain,
X1 = esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat),
inference(rename_variables,[],[i_0_5133]) ).
cnf(i_0_5605,plain,
is_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531]) ).
cnf(i_0_5606,plain,
X1 = esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat),
inference(rename_variables,[],[i_0_5133]) ).
cnf(i_0_5607,plain,
~ epred1_3(hAPP_real_real(times_times_real(one_one_real),hAPP_i1948725293t_bool(ord_less_eq_int,pls)),min,hAPP_int_int(plus_plus_int(pls),pls)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532]) ).
cnf(i_0_5608,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5609,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_real_real(times_times_real(one_one_real),min),hAPP_int_int(plus_plus_int(pls),pls)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533]) ).
cnf(i_0_5610,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5611,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,hAPP_real_real(times_times_real(one_one_real),hAPP_int_int(plus_plus_int(pls),pls))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534]) ).
cnf(i_0_5612,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5613,plain,
~ hBOOL(member_int(t,wset(hAPP_int_int(minus_minus_int(hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),one_one_int)),one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_2907,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393]) ).
cnf(i_0_5614,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5615,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(minus_minus_int(X2),one_one_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3))
| ~ hBOOL(member_int(X3,wset(X1,X2)))
| ~ hBOOL(hAPP_int_bool(zprime,X2)) ),
inference(rename_variables,[],[i_0_3393]) ).
cnf(i_0_5616,plain,
hAPP_int_int(div_mod_int(min),hAPP_int_int(minus_minus_int(min),one_one_int)) = min,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5090,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_2907,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775]) ).
cnf(i_0_5617,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5618,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| hAPP_int_int(div_mod_int(X1),X2) = X1
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3775]) ).
cnf(i_0_5619,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_nat)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5090,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_2885,i_0_2907,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076]) ).
cnf(i_0_5620,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5621,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(rename_variables,[],[i_0_4234]) ).
cnf(i_0_5622,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_3076]) ).
cnf(i_0_5623,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X1) = hAPP_nat_nat(plus_plus_nat(X1),X2),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5090,i_0_5145,i_0_4992,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676]) ).
cnf(i_0_5624,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4067]) ).
cnf(i_0_5625,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5626,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2) = X1,
inference(rename_variables,[],[i_0_4169]) ).
cnf(i_0_5627,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| hAPP_nat_nat(minus_minus_nat(X3),X1) != hAPP_nat_nat(minus_minus_nat(X2),X1)
| X3 = X2 ),
inference(rename_variables,[],[i_0_3676]) ).
cnf(i_0_5628,plain,
hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(min),esk9_0)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(min),esk40_3(min,hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(min),esk9_0)),hAPP_i1948725293t_bool(ord_less_int,pls)))),esk41_3(min,hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(min),esk9_0)),hAPP_i1948725293t_bool(ord_less_int,pls))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_3541,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089]) ).
cnf(i_0_5629,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| X2 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),esk40_3(X1,X2,X3))),esk41_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(rename_variables,[],[i_0_3089]) ).
cnf(i_0_5630,plain,
epred1_3(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),hAPP_int_int(times_times_int(X1),one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X2)),hAPP_int_int(times_times_int(X3),X3))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237]) ).
cnf(i_0_5631,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),X1)),
inference(rename_variables,[],[i_0_4235]) ).
cnf(i_0_5632,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(X2),X1))),
inference(rename_variables,[],[i_0_4070]) ).
cnf(i_0_5633,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(X2,esk39_3(X1,X3,X2)))
| ~ hBOOL(hAPP_int_bool(X2,X3))
| epred1_3(X2,X3,X1) ),
inference(rename_variables,[],[i_0_3237]) ).
cnf(i_0_5634,plain,
epred1_3(zcong(hAPP_int_int(times_times_int(X1),X2),hAPP_int_int(times_times_int(X1),X2)),X2,hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244]) ).
cnf(i_0_5635,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5636,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X1),X2),hAPP_int_int(times_times_int(X3),X2)),X2)),
inference(rename_variables,[],[i_0_3541]) ).
cnf(i_0_5637,plain,
( ~ hBOOL(hAPP_int_bool(X1,esk41_3(X2,X3,X1)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(X1,X3))
| epred1_3(X1,X3,X2) ),
inference(rename_variables,[],[i_0_3244]) ).
cnf(i_0_5638,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int),pls))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438]) ).
cnf(i_0_5639,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5640,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(X3,esk24_3(X3,X1,X2)))
| hBOOL(hAPP_int_bool(X3,X1))
| ~ hBOOL(hAPP_int_bool(X3,X2)) ),
inference(rename_variables,[],[i_0_3438]) ).
cnf(i_0_5641,plain,
number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int)) != hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(pls),one_one_int))),zero_zero_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530]) ).
cnf(i_0_5642,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| X2 != hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),X3)) ),
inference(rename_variables,[],[i_0_3530]) ).
cnf(i_0_5643,plain,
is_int(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int),pls)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666]) ).
cnf(i_0_5644,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5645,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(X3,X1))
| ~ hBOOL(hAPP_int_bool(X3,X2))
| is_int(esk24_3(X3,X1,X2)) ),
inference(rename_variables,[],[i_0_3666]) ).
cnf(i_0_5646,plain,
is_int(esk41_3(min,hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(min),esk9_0)),hAPP_i1948725293t_bool(ord_less_int,pls))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833]) ).
cnf(i_0_5647,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| is_int(esk41_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(rename_variables,[],[i_0_3833]) ).
cnf(i_0_5648,plain,
is_int(esk40_3(min,hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(min),esk9_0)),hAPP_i1948725293t_bool(ord_less_int,pls))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834]) ).
cnf(i_0_5649,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| is_int(esk40_3(X1,X2,X3))
| X1 = zero_zero_int
| epred1_3(X3,X2,X1) ),
inference(rename_variables,[],[i_0_3834]) ).
cnf(i_0_5650,plain,
epred1_3(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836]) ).
cnf(i_0_5651,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),X1)),
inference(rename_variables,[],[i_0_4235]) ).
cnf(i_0_5652,plain,
( ~ hBOOL(hAPP_int_bool(X1,hAPP_int_int(div_mod_int(X2),X3)))
| ~ is_int(X2)
| ~ is_int(X3)
| epred1_3(X1,X2,X3) ),
inference(rename_variables,[],[i_0_3836]) ).
cnf(i_0_5653,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(one_one_nat),X3)),one_one_nat))),hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245]) ).
cnf(i_0_5654,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(div_mod_nat(X1),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(one_one_nat),X2)),one_one_nat))),X1)),
inference(rename_variables,[],[i_0_5029]) ).
cnf(i_0_5655,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))),
inference(rename_variables,[],[i_0_4068]) ).
cnf(i_0_5656,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),
inference(rename_variables,[],[i_0_4676]) ).
cnf(i_0_5657,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3245]) ).
cnf(i_0_5658,plain,
epred1_3(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),X1,zero_zero_int),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815]) ).
cnf(i_0_5659,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(X2,X3))
| epred1_3(X2,X3,X1) ),
inference(rename_variables,[],[i_0_3815]) ).
cnf(i_0_5660,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),t)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906]) ).
cnf(i_0_5661,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3906]) ).
cnf(i_0_5662,plain,
zero_zero_int != t,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097]) ).
cnf(i_0_5663,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_4097]) ).
cnf(i_0_5664,plain,
hBOOL(hAPP_int_bool(zcong(X1,esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_int_int(div_mod_int(X1),X2))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_int_int(div_mod_int(X1),X2)),zero_zero_nat)),X2)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616]) ).
cnf(i_0_5665,plain,
hBOOL(hAPP_int_bool(zcong(X1,X1),X2)),
inference(rename_variables,[],[i_0_4176]) ).
cnf(i_0_5666,plain,
X1 = esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat),
inference(rename_variables,[],[i_0_5133]) ).
cnf(i_0_5667,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X4,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X5),X3))
| X5 != X1 ),
inference(rename_variables,[],[i_0_3616]) ).
cnf(i_0_5668,plain,
hAPP_int_int(times_times_int(t),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)) != one_one_int,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999]) ).
cnf(i_0_5669,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(times_times_int(X1),X2) != one_one_int
| X1 = one_one_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3999]) ).
cnf(i_0_5670,plain,
one_one_int = t,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897]) ).
cnf(i_0_5671,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ is_int(X1)
| ~ is_int(X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_3897]) ).
cnf(i_0_5672,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4463,i_0_4169,i_0_5531,i_0_2885,i_0_2907,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992]) ).
cnf(i_0_5673,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| X2 = X1
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3992]) ).
cnf(i_0_5674,plain,
esk7_0 = esk6_0,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761]) ).
cnf(i_0_5675,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(zcong(s1,X1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| X1 = esk6_0
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_2761]) ).
cnf(i_0_5676,plain,
hAPP_int_int(times_times_int(one_one_int),t) != one_one_int,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000]) ).
cnf(i_0_5677,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(times_times_int(X1),X2) != one_one_int
| X2 = one_one_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4000]) ).
cnf(i_0_5678,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),min)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802]) ).
cnf(i_0_5679,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1))
| ~ is_int(X1)
| ~ is_int(X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_3802]) ).
cnf(i_0_5680,plain,
zero_zero_int = esk23_2(hAPP_int_int(minus_minus_int(X1),X1),one_one_int),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388]) ).
cnf(i_0_5681,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5682,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(minus_minus_int(X1),X1),zero_zero_int),X2)),
inference(rename_variables,[],[i_0_4763]) ).
cnf(i_0_5683,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(zcong(X3,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| X1 = esk23_2(X3,X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3388]) ).
cnf(i_0_5684,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(zero_zero_int),one_one_int)),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_int),hAPP_int_int(minus_minus_int(zero_zero_int),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550]) ).
cnf(i_0_5685,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5686,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),one_one_int)),X1)),
inference(rename_variables,[],[i_0_4706]) ).
cnf(i_0_5687,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
| ~ is_int(X3)
| hBOOL(hAPP_int_bool(X4,X1))
| ~ epred1_3(X4,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X3)),X1),X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4550]) ).
cnf(i_0_5688,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_int),one_one_int),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551]) ).
cnf(i_0_5689,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5690,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| ~ is_int(X3)
| hBOOL(hAPP_int_bool(X4,X1))
| ~ epred1_3(X4,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X3)),X1),X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4551]) ).
cnf(i_0_5691,plain,
hAPP_int_int(div_mod_int(hAPP_real_real(times_times_real(one_one_real),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),X1)),t))),one_one_int) = t,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353]) ).
cnf(i_0_5692,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5693,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X4)),X1)
| hAPP_int_int(div_mod_int(X3),X2) = X1
| X2 = zero_zero_int
| ~ is_int(X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3353]) ).
cnf(i_0_5694,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_real_real(times_times_real(one_one_real),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_int)),one_one_int),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208]) ).
cnf(i_0_5695,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)),
inference(rename_variables,[],[i_0_4216]) ).
cnf(i_0_5696,plain,
hAPP_real_real(times_times_real(one_one_real),X1) = X1,
inference(rename_variables,[],[i_0_4431]) ).
cnf(i_0_5697,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| X3 != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X4)),X1)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| hBOOL(hAPP_int_bool(X5,X1))
| ~ is_int(X1)
| ~ epred1_3(X5,X3,X2)
| ~ is_int(X4) ),
inference(rename_variables,[],[i_0_3208]) ).
cnf(i_0_5698,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(zero_zero_int),one_one_int)),one_one_int)),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461]) ).
cnf(i_0_5699,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(X1),X2)),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
inference(rename_variables,[],[i_0_3461]) ).
cnf(i_0_5700,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(number_number_of_nat(pls)),number_number_of_nat(pls))),X1) = zero_zero_nat,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336]) ).
cnf(i_0_5701,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != zero_zero_nat
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4336]) ).
cnf(i_0_5702,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) != hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(hAPP_real_real(times_times_real(one_one_real),zero_zero_nat)),X1)),hAPP_real_real(times_times_real(one_one_real),zero_zero_nat)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509]) ).
cnf(i_0_5703,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X2),zero_zero_nat)) = zero_zero_nat,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146]) ).
cnf(i_0_5704,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4146]) ).
cnf(i_0_5705,plain,
esk13_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)) != zero_zero_real,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194]) ).
cnf(i_0_5706,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4194]) ).
cnf(i_0_5707,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),one_one_nat))),X1) = one_one_nat,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137]) ).
cnf(i_0_5708,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),one_one_nat))
| X1 = one_one_nat ),
inference(rename_variables,[],[i_0_4137]) ).
cnf(i_0_5709,plain,
( ~ hBOOL(hAPP_int_bool(zprime,hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(X1),X2)),hAPP_int_int(minus_minus_int(X3),X3))))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(X1),X2)),hAPP_int_int(minus_minus_int(X3),X3))),X1)) ),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594]) ).
cnf(i_0_5710,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4953]) ).
cnf(i_0_5711,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_nat_int(power_power_int(X2),X3)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(zprime,X1)) ),
inference(rename_variables,[],[i_0_3594]) ).
cnf(i_0_5712,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_real_real(times_times_real(one_one_real),zero_zero_nat))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580]) ).
cnf(i_0_5713,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3580]) ).
cnf(i_0_5714,plain,
hAPP_int_int(div_mod_int(t),one_one_int) = t,
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780]) ).
cnf(i_0_5715,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(X1),X2) = X1
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_3780]) ).
cnf(i_0_5716,plain,
~ hBOOL(hAPP_int_bool(zcong(one_one_int,t),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226]) ).
cnf(i_0_5717,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))),
inference(rename_variables,[],[i_0_4690]) ).
cnf(i_0_5718,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X2,X1),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3226]) ).
cnf(i_0_5719,plain,
hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)) != hAPP_int_int(div_mod_int(t),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226,i_0_4083]) ).
cnf(i_0_5720,plain,
( hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hAPP_int_int(div_mod_int(X1),X3) != hAPP_int_int(div_mod_int(X2),X3) ),
inference(rename_variables,[],[i_0_4083]) ).
cnf(i_0_5721,plain,
div_mod_int(one_one_int) != div_mod_int(t),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226,i_0_4083,i_0_4511]) ).
cnf(i_0_5722,plain,
( ~ is_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(zero_zero_int),X1)),X2))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(zero_zero_int),X1)),X2) = zero_zero_int ),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4684,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226,i_0_4083,i_0_4511,i_0_4124]) ).
cnf(i_0_5723,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X3))),
inference(rename_variables,[],[i_0_4684]) ).
cnf(i_0_5724,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,zero_zero_int),X1))
| X1 = zero_zero_int
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4124]) ).
cnf(i_0_5725,plain,
( hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)))),X2))
| ~ is_int(hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X2),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)))) ),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4684,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226,i_0_4083,i_0_4511,i_0_4124,i_0_4577]) ).
cnf(i_0_5726,plain,
( ~ is_int(X1)
| hBOOL(hAPP_int_bool(zcong(X2,hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X3),X1))),X3))
| ~ is_int(hAPP_int_int(plus_plus_int(X2),hAPP_int_int(times_times_int(X3),X1))) ),
inference(rename_variables,[],[i_0_4577]) ).
cnf(i_0_5727,plain,
( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2)) = zero_zero_real
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X1),X1)),hAPP_real_real(times_times_real(X2),X2))),zero_zero_real)) ),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2958,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4684,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226,i_0_4083,i_0_4511,i_0_4124,i_0_4577,i_0_3918]) ).
cnf(i_0_5728,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3918]) ).
cnf(i_0_5729,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(X1),X2),X1))) ),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2958,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_4671,i_0_4684,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226,i_0_4083,i_0_4511,i_0_4124,i_0_4577,i_0_3918,i_0_3294]) ).
cnf(i_0_5730,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk37_3(X1,X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_3294]) ).
cnf(i_0_5731,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))))
| hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X3),X1)),hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))) = hAPP_int_int(div_mod_int(X3),hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X2),X2))) ),
inference(scs_inference,[],[i_0_2784,i_0_5133,i_0_5602,i_0_5604,i_0_5606,i_0_4883,i_0_5450,i_0_4866,i_0_4644,i_0_5094,i_0_4643,i_0_4890,i_0_5170,i_0_4892,i_0_4211,i_0_4235,i_0_5216,i_0_5631,i_0_5651,i_0_4065,i_0_5304,i_0_5307,i_0_5556,i_0_5581,i_0_5588,i_0_4068,i_0_5351,i_0_5387,i_0_5390,i_0_5553,i_0_5572,i_0_5592,i_0_5620,i_0_5625,i_0_4431,i_0_5511,i_0_5516,i_0_5567,i_0_5585,i_0_5608,i_0_5610,i_0_5612,i_0_5692,i_0_4159,i_0_4082,i_0_4067,i_0_5444,i_0_5573,i_0_3839,i_0_5441,i_0_3875,i_0_5375,i_0_5378,i_0_5566,i_0_4063,i_0_5381,i_0_4070,i_0_5393,i_0_5396,i_0_3541,i_0_2958,i_0_2959,i_0_4488,i_0_4255,i_0_2898,i_0_4158,i_0_4246,i_0_4699,i_0_5268,i_0_5370,i_0_5479,i_0_5139,i_0_5472,i_0_5510,i_0_5141,i_0_4653,i_0_4818,i_0_4774,i_0_5078,i_0_4645,i_0_4772,i_0_4980,i_0_4934,i_0_4696,i_0_5301,i_0_5312,i_0_5466,i_0_5469,i_0_5494,i_0_4763,i_0_5490,i_0_4665,i_0_4953,i_0_5354,i_0_5475,i_0_5487,i_0_5537,i_0_5563,i_0_5710,i_0_4671,i_0_4684,i_0_4987,i_0_5457,i_0_5476,i_0_4851,i_0_5484,i_0_5541,i_0_5559,i_0_4720,i_0_5315,i_0_5348,i_0_4723,i_0_4929,i_0_4903,i_0_5029,i_0_4949,i_0_4984,i_0_5534,i_0_4990,i_0_4706,i_0_5251,i_0_5335,i_0_5436,i_0_5491,i_0_5507,i_0_5614,i_0_5617,i_0_4728,i_0_4709,i_0_5213,i_0_5275,i_0_5326,i_0_5342,i_0_5345,i_0_4995,i_0_4998,i_0_5019,i_0_4744,i_0_5291,i_0_5294,i_0_4676,i_0_5560,i_0_4978,i_0_4690,i_0_5194,i_0_5197,i_0_5421,i_0_5426,i_0_5074,i_0_4747,i_0_4857,i_0_4740,i_0_4759,i_0_5092,i_0_4778,i_0_4943,i_0_4972,i_0_5090,i_0_5145,i_0_4992,i_0_5151,i_0_5119,i_0_4827,i_0_4804,i_0_5519,i_0_5522,i_0_5525,i_0_4460,i_0_4463,i_0_4169,i_0_5531,i_0_4250,i_0_2885,i_0_2907,i_0_2776,i_0_2773,i_0_4176,i_0_5635,i_0_4119,i_0_4214,i_0_4215,i_0_4216,i_0_5425,i_0_5639,i_0_5644,i_0_5681,i_0_5685,i_0_5689,i_0_3600,i_0_3601,i_0_4633,i_0_4485,i_0_4468,i_0_4470,i_0_4469,i_0_4234,i_0_5447,i_0_5546,i_0_3964,i_0_4116,i_0_4508,i_0_4207,i_0_3486,i_0_3115,i_0_3662,i_0_3663,i_0_3674,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3848,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3915,i_0_3934,i_0_3936,i_0_3969,i_0_3978,i_0_3993,i_0_3994,i_0_4003,i_0_4018,i_0_4056,i_0_4084,i_0_4089,i_0_4090,i_0_4098,i_0_4100,i_0_4101,i_0_4113,i_0_4114,i_0_4121,i_0_4133,i_0_4204,i_0_4206,i_0_4262,i_0_4326,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3113,i_0_3398,i_0_3448,i_0_3449,i_0_3599,i_0_3606,i_0_3751,i_0_3772,i_0_3830,i_0_3840,i_0_3844,i_0_3878,i_0_3904,i_0_3960,i_0_3977,i_0_4057,i_0_4109,i_0_4115,i_0_4120,i_0_4122,i_0_4585,i_0_3367,i_0_3651,i_0_3750,i_0_3842,i_0_3846,i_0_3926,i_0_3975,i_0_4092,i_0_4094,i_0_4228,i_0_4574,i_0_4576,i_0_3446,i_0_3447,i_0_3453,i_0_3454,i_0_3455,i_0_3456,i_0_3597,i_0_3598,i_0_3841,i_0_3932,i_0_4142,i_0_4257,i_0_3963,i_0_4324,i_0_4258,i_0_4493,i_0_3985,i_0_4530,i_0_3740,i_0_3271,i_0_3410,i_0_3428,i_0_3142,i_0_3623,i_0_3656,i_0_3922,i_0_4259,i_0_2893,i_0_2931,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3444,i_0_3519,i_0_3529,i_0_3603,i_0_3604,i_0_3605,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4117,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_4256,i_0_3394,i_0_3445,i_0_3670,i_0_3684,i_0_3829,i_0_4024,i_0_2897,i_0_3440,i_0_3443,i_0_3671,i_0_3909,i_0_3818,i_0_3193,i_0_3924,i_0_3273,i_0_3688,i_0_3850,i_0_3828,i_0_3986,i_0_3655,i_0_3658,i_0_4494,i_0_4535,i_0_4531,i_0_4532,i_0_4533,i_0_4534,i_0_3393,i_0_3775,i_0_3076,i_0_3676,i_0_3089,i_0_3237,i_0_3244,i_0_3438,i_0_3530,i_0_3666,i_0_3833,i_0_3834,i_0_3836,i_0_3245,i_0_3815,i_0_3906,i_0_4097,i_0_3616,i_0_3999,i_0_3897,i_0_3992,i_0_2761,i_0_4000,i_0_3802,i_0_3388,i_0_4550,i_0_4551,i_0_3353,i_0_3208,i_0_3461,i_0_4336,i_0_4509,i_0_4146,i_0_4194,i_0_4137,i_0_3594,i_0_3580,i_0_3780,i_0_3226,i_0_4083,i_0_4511,i_0_4124,i_0_4577,i_0_3918,i_0_3294,i_0_3607]) ).
cnf(i_0_5732,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X3),X2)),X1) = hAPP_int_int(div_mod_int(X3),X1) ),
inference(rename_variables,[],[i_0_3607]) ).
cnf(i_0_5733,plain,
hBOOL(hAPP_int_bool(d22set(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_5424,i_0_4207]) ).
cnf(i_0_5734,plain,
( ~ hBOOL(member_int(X1,X2))
| hBOOL(hAPP_int_bool(X2,X1)) ),
inference(rename_variables,[],[i_0_4207]) ).
cnf(i_0_5735,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2))),
inference(scs_inference,[],[i_0_4897,i_0_5424,i_0_4207,i_0_3486]) ).
cnf(i_0_5736,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)),zero_zero_nat))),
inference(rename_variables,[],[i_0_4897]) ).
cnf(i_0_5737,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3486]) ).
cnf(i_0_5738,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(zero_zero_nat),X2)) = zero_zero_nat,
inference(scs_inference,[],[i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146]) ).
cnf(i_0_5739,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(times_times_nat(X1),X3)))),
inference(rename_variables,[],[i_0_5303]) ).
cnf(i_0_5740,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),X1))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4146]) ).
cnf(i_0_5741,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2),
inference(scs_inference,[],[i_0_4214,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662]) ).
cnf(i_0_5742,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3) ),
inference(rename_variables,[],[i_0_3662]) ).
cnf(i_0_5743,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1),
inference(scs_inference,[],[i_0_4214,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663]) ).
cnf(i_0_5744,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1) ),
inference(rename_variables,[],[i_0_3663]) ).
cnf(i_0_5745,plain,
hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(hAPP_int_int(minus_minus_int(X1),X2)),hAPP_int_int(minus_minus_int(X3),X3))) = hAPP_int_int(div_mod_int(X2),hAPP_int_int(minus_minus_int(hAPP_int_int(minus_minus_int(X1),X2)),hAPP_int_int(minus_minus_int(X3),X3))),
inference(scs_inference,[],[i_0_4214,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714]) ).
cnf(i_0_5746,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(minus_minus_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4957]) ).
cnf(i_0_5747,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hAPP_int_int(div_mod_int(X2),X1) = hAPP_int_int(div_mod_int(X3),X1) ),
inference(rename_variables,[],[i_0_3714]) ).
cnf(i_0_5748,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2) = hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X2)),
inference(scs_inference,[],[i_0_4214,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732]) ).
cnf(i_0_5749,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1) = hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) ),
inference(rename_variables,[],[i_0_3732]) ).
cnf(i_0_5750,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X2)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2),
inference(scs_inference,[],[i_0_4214,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733]) ).
cnf(i_0_5751,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),X2) ),
inference(rename_variables,[],[i_0_3733]) ).
cnf(i_0_5752,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X2)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2),
inference(scs_inference,[],[i_0_4214,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734]) ).
cnf(i_0_5753,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1) ),
inference(rename_variables,[],[i_0_3734]) ).
cnf(i_0_5754,plain,
hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X1),
inference(scs_inference,[],[i_0_4214,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837]) ).
cnf(i_0_5755,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X2),X1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) ),
inference(rename_variables,[],[i_0_3837]) ).
cnf(i_0_5756,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X1) = X1,
inference(scs_inference,[],[i_0_4214,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889]) ).
cnf(i_0_5757,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) = X2 ),
inference(rename_variables,[],[i_0_3889]) ).
cnf(i_0_5758,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(hAPP_int_int(plus_plus_int(min),one_one_int)))),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911]) ).
cnf(i_0_5759,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3911]) ).
cnf(i_0_5760,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(hAPP_int_int(plus_plus_int(min),one_one_int)))),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912]) ).
cnf(i_0_5761,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1))) ),
inference(rename_variables,[],[i_0_3912]) ).
cnf(i_0_5762,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(hAPP_int_int(plus_plus_int(min),one_one_int)))),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913]) ).
cnf(i_0_5763,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3913]) ).
cnf(i_0_5764,plain,
hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),X1),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4859,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936]) ).
cnf(i_0_5765,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(div_mod_nat(X1),X2) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X2) ),
inference(rename_variables,[],[i_0_3936]) ).
cnf(i_0_5766,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X1),X1))),X1)) = hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X1),X1)),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4859,i_0_3677,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978]) ).
cnf(i_0_5767,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X2 ),
inference(rename_variables,[],[i_0_3978]) ).
cnf(i_0_5768,plain,
X1 = hAPP_nat_nat(plus_plus_nat(X1),esk14_2(X1,X1)),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4859,i_0_3677,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994]) ).
cnf(i_0_5769,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = hAPP_nat_nat(plus_plus_nat(X1),esk14_2(X1,X2)) ),
inference(rename_variables,[],[i_0_3994]) ).
cnf(i_0_5770,plain,
~ hBOOL(member_int(hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(minus_minus_int(X1),X1)),d22set(X2))),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4859,i_0_3677,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098]) ).
cnf(i_0_5771,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(rename_variables,[],[i_0_4098]) ).
cnf(i_0_5772,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)) = hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat),
inference(scs_inference,[],[i_0_4214,i_0_5143,i_0_4859,i_0_3677,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100]) ).
cnf(i_0_5773,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),X2)) = X1 ),
inference(rename_variables,[],[i_0_4100]) ).
cnf(i_0_5774,plain,
legendre(X1,one_one_int) = zero_zero_int,
inference(scs_inference,[],[i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101]) ).
cnf(i_0_5775,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),one_one_int)),
inference(rename_variables,[],[i_0_4205]) ).
cnf(i_0_5776,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| legendre(X1,X2) = zero_zero_int ),
inference(rename_variables,[],[i_0_4101]) ).
cnf(i_0_5777,plain,
zero_zero_nat != esk32_2(zero_zero_nat,hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114]) ).
cnf(i_0_5778,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4114]) ).
cnf(i_0_5779,plain,
zfact(min) = one_one_int,
inference(scs_inference,[],[i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5090,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121]) ).
cnf(i_0_5780,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),zero_zero_int))
| zfact(X1) = one_one_int ),
inference(rename_variables,[],[i_0_4121]) ).
cnf(i_0_5781,plain,
hAPP_nat_nat(minus_minus_nat(zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)) = hAPP_nat_nat(times_times_nat(X2),esk35_2(hAPP_nat_nat(minus_minus_nat(zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)),X2)),
inference(scs_inference,[],[i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204]) ).
cnf(i_0_5782,plain,
( hAPP_nat_nat(div_mod_nat(X1),X2) != zero_zero_nat
| X1 = hAPP_nat_nat(times_times_nat(X2),esk35_2(X1,X2)) ),
inference(rename_variables,[],[i_0_4204]) ).
cnf(i_0_5783,plain,
hBOOL(member_int(one_one_int,hAPP_i1948725293t_bool(ord_less_int,t))),
inference(scs_inference,[],[i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206]) ).
cnf(i_0_5784,plain,
( ~ hBOOL(hAPP_int_bool(X1,X2))
| hBOOL(member_int(X2,X1)) ),
inference(rename_variables,[],[i_0_4206]) ).
cnf(i_0_5785,plain,
is_int(esk26_2(min,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262]) ).
cnf(i_0_5786,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| is_int(esk26_2(X2,X1)) ),
inference(rename_variables,[],[i_0_4262]) ).
cnf(i_0_5787,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(zero_zero_nat),X1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),zero_zero_nat)),X1)),X3)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X1)),X3),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546]) ).
cnf(i_0_5788,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3)),X4)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X4) ),
inference(rename_variables,[],[i_0_4546]) ).
cnf(i_0_5789,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),X3) = X3,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547]) ).
cnf(i_0_5790,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),X3) = X3 ),
inference(rename_variables,[],[i_0_4547]) ).
cnf(i_0_5791,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X2)),X3)),X1),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548]) ).
cnf(i_0_5792,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X3)),X2) ),
inference(rename_variables,[],[i_0_4548]) ).
cnf(i_0_5793,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X1),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583]) ).
cnf(i_0_5794,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X1) ),
inference(rename_variables,[],[i_0_4583]) ).
cnf(i_0_5795,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X1),X2)),one_one_nat))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4946,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448]) ).
cnf(i_0_5796,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(power_power_nat(X1),one_one_nat))),
inference(rename_variables,[],[i_0_4946]) ).
cnf(i_0_5797,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3448]) ).
cnf(i_0_5798,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X2),X1)),one_one_nat))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4946,i_0_5796,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449]) ).
cnf(i_0_5799,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(power_power_nat(X1),one_one_nat))),
inference(rename_variables,[],[i_0_4946]) ).
cnf(i_0_5800,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3449]) ).
cnf(i_0_5801,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),zero_zero_nat)),X2)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4946,i_0_5796,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751]) ).
cnf(i_0_5802,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5803,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3751]) ).
cnf(i_0_5804,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X1,t))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4946,i_0_5796,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848]) ).
cnf(i_0_5805,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),esk23_2(X2,X1))) ),
inference(rename_variables,[],[i_0_3848]) ).
cnf(i_0_5806,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int))),number_number_of_nat(X1))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4946,i_0_5796,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878]) ).
cnf(i_0_5807,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(rename_variables,[],[i_0_3878]) ).
cnf(i_0_5808,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X1),X2)),X3),zero_zero_int),X2)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934]) ).
cnf(i_0_5809,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X2))
| hBOOL(hAPP_int_bool(zcong(X2,zero_zero_int),X1)) ),
inference(rename_variables,[],[i_0_3934]) ).
cnf(i_0_5810,plain,
~ hBOOL(member_int(number_number_of_int(one_one_int),d22set(number_number_of_int(zero_zero_int)))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969]) ).
cnf(i_0_5811,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| ~ hBOOL(member_int(X2,d22set(X1))) ),
inference(rename_variables,[],[i_0_3969]) ).
cnf(i_0_5812,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X1),X1)) = X1,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977]) ).
cnf(i_0_5813,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X2),hAPP_nat_nat(minus_minus_nat(X2),X1)) = X1 ),
inference(rename_variables,[],[i_0_3977]) ).
cnf(i_0_5814,plain,
hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk32_2(zero_zero_nat,one_one_nat)) = one_one_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993]) ).
cnf(i_0_5815,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(plus_plus_nat(X1),esk32_2(X1,X2)) = X2 ),
inference(rename_variables,[],[i_0_3993]) ).
cnf(i_0_5816,plain,
hAPP_int_int(div_mod_int(number_number_of_int(min)),t) = hAPP_int_int(minus_minus_int(t),one_one_int),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018]) ).
cnf(i_0_5817,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| hAPP_int_int(div_mod_int(number_number_of_int(min)),X1) = hAPP_int_int(minus_minus_int(X1),one_one_int) ),
inference(rename_variables,[],[i_0_4018]) ).
cnf(i_0_5818,plain,
~ hBOOL(member_int(zero_zero_int,d22set(min))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084]) ).
cnf(i_0_5819,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| ~ hBOOL(member_int(X1,d22set(X2))) ),
inference(rename_variables,[],[i_0_4084]) ).
cnf(i_0_5820,plain,
is_int(esk23_2(X1,t)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090]) ).
cnf(i_0_5821,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| is_int(esk23_2(X2,X1)) ),
inference(rename_variables,[],[i_0_4090]) ).
cnf(i_0_5822,plain,
zero_zero_real != esk12_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109]) ).
cnf(i_0_5823,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_4109]) ).
cnf(i_0_5824,plain,
number_number_of_nat(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int)) = zero_zero_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120]) ).
cnf(i_0_5825,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| number_number_of_nat(X1) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4120]) ).
cnf(i_0_5826,plain,
zero_zero_nat = number_number_of_nat(hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5303,i_0_5277,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122]) ).
cnf(i_0_5827,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))
| zero_zero_nat = number_number_of_nat(X1) ),
inference(rename_variables,[],[i_0_4122]) ).
cnf(i_0_5828,plain,
esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(zero_zero_nat),zero_zero_nat)),zero_zero_nat,zero_zero_nat) = zero_zero_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326]) ).
cnf(i_0_5829,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),X1,zero_zero_nat)),
inference(rename_variables,[],[i_0_4998]) ).
cnf(i_0_5830,plain,
( X1 != hAPP_nat_nat(plus_plus_nat(X1),X2)
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4326]) ).
cnf(i_0_5831,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X2))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367]) ).
cnf(i_0_5832,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))),
inference(rename_variables,[],[i_0_4067]) ).
cnf(i_0_5833,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2))) ),
inference(rename_variables,[],[i_0_3367]) ).
cnf(i_0_5834,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(hAPP_int_int(times_times_int(X1),X1))),number_number_of_int(zero_zero_int))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599]) ).
cnf(i_0_5835,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X2)),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3599]) ).
cnf(i_0_5836,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),zero_zero_nat)),X1)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750]) ).
cnf(i_0_5837,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5838,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(rename_variables,[],[i_0_3750]) ).
cnf(i_0_5839,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(number_number_of_int(zero_zero_int))),number_number_of_nat(number_number_of_int(number_number_of_int(pls))))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4740,i_0_4778,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842]) ).
cnf(i_0_5840,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))) ),
inference(rename_variables,[],[i_0_3842]) ).
cnf(i_0_5841,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X2),X1)),hAPP_int_int(minus_minus_int(X3),X3)))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4740,i_0_4778,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904]) ).
cnf(i_0_5842,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X2,X1),X3)) ),
inference(rename_variables,[],[i_0_3904]) ).
cnf(i_0_5843,plain,
hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X1),X1))) = zero_zero_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4740,i_0_4778,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092]) ).
cnf(i_0_5844,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hAPP_nat_nat(minus_minus_nat(X1),X2) = zero_zero_nat ),
inference(rename_variables,[],[i_0_4092]) ).
cnf(i_0_5845,plain,
hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(zero_zero_int),X1)),X1) = zero_zero_int,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094]) ).
cnf(i_0_5846,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X1),X2),X1),X2)),
inference(rename_variables,[],[i_0_5328]) ).
cnf(i_0_5847,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| hAPP_int_int(div_mod_int(X1),X2) = zero_zero_int ),
inference(rename_variables,[],[i_0_4094]) ).
cnf(i_0_5848,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)) != number_number_of_nat(pls),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113]) ).
cnf(i_0_5849,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(rename_variables,[],[i_0_4113]) ).
cnf(i_0_5850,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_real_real(times_times_real(one_one_real),hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat))),X1)),X2) = zero_zero_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133]) ).
cnf(i_0_5851,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_real_real(times_times_real(one_one_real),hAPP_nat_nat(plus_plus_nat(X1),X2))),X1)),X3)),X2)),
inference(rename_variables,[],[i_0_5583]) ).
cnf(i_0_5852,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4133]) ).
cnf(i_0_5853,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X2)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574]) ).
cnf(i_0_5854,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(rename_variables,[],[i_0_4214]) ).
cnf(i_0_5855,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X2)))
| hBOOL(hAPP_nat_bool(X1,X3)) ),
inference(rename_variables,[],[i_0_4574]) ).
cnf(i_0_5856,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),hAPP_real_real(times_times_real(one_one_real),zero_zero_nat))),X2)),X1)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576]) ).
cnf(i_0_5857,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(div_mod_nat(X1),hAPP_real_real(times_times_real(one_one_real),zero_zero_nat))),X2)),X1)),
inference(rename_variables,[],[i_0_5565]) ).
cnf(i_0_5858,plain,
( ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat)))
| hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_4576]) ).
cnf(i_0_5859,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),zero_zero_nat)),X1)),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585]) ).
cnf(i_0_5860,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5861,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),zero_zero_nat)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_4585]) ).
cnf(i_0_5862,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X2))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398]) ).
cnf(i_0_5863,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(rename_variables,[],[i_0_4140]) ).
cnf(i_0_5864,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2))) ),
inference(rename_variables,[],[i_0_3398]) ).
cnf(i_0_5865,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),hAPP_int_int(minus_minus_int(hAPP_int_int(minus_minus_int(X1),X2)),hAPP_int_int(minus_minus_int(X3),X3)))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651]) ).
cnf(i_0_5866,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(minus_minus_int(X1),hAPP_int_int(minus_minus_int(X2),X2))),X1)),
inference(rename_variables,[],[i_0_4957]) ).
cnf(i_0_5867,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(minus_minus_int(X2),X3)))
| hBOOL(hAPP_int_bool(zcong(X2,X3),X1)) ),
inference(rename_variables,[],[i_0_3651]) ).
cnf(i_0_5868,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(t)),number267125858f_real(one_one_int))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840]) ).
cnf(i_0_5869,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(rename_variables,[],[i_0_3840]) ).
cnf(i_0_5870,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(t)),number_number_of_int(one_one_int))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844]) ).
cnf(i_0_5871,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(rename_variables,[],[i_0_3844]) ).
cnf(i_0_5872,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(pls)),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846]) ).
cnf(i_0_5873,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X1)),number_number_of_int(X2))) ),
inference(rename_variables,[],[i_0_3846]) ).
cnf(i_0_5874,plain,
hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X2)) = zero_zero_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228]) ).
cnf(i_0_5875,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4228]) ).
cnf(i_0_5876,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X2))))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453]) ).
cnf(i_0_5877,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X1),X1)))),
inference(rename_variables,[],[i_0_3677]) ).
cnf(i_0_5878,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3453]) ).
cnf(i_0_5879,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),hAPP_nat_nat(plus_plus_nat(X2),X1))))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454]) ).
cnf(i_0_5880,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(times_times_nat(X1),hAPP_nat_nat(times_times_nat(X1),X1)))),
inference(rename_variables,[],[i_0_3677]) ).
cnf(i_0_5881,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(rename_variables,[],[i_0_3454]) ).
cnf(i_0_5882,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(hAPP_int_int(times_times_int(X1),X1))),number_number_of_nat(zero_zero_int))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598]) ).
cnf(i_0_5883,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X2)),number_number_of_nat(X1))) ),
inference(rename_variables,[],[i_0_3598]) ).
cnf(i_0_5884,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(zero_zero_nat,one_one_nat))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830]) ).
cnf(i_0_5885,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk32_2(X1,X2))) ),
inference(rename_variables,[],[i_0_3830]) ).
cnf(i_0_5886,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),esk12_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926]) ).
cnf(i_0_5887,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)) ),
inference(rename_variables,[],[i_0_3926]) ).
cnf(i_0_5888,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5361,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960]) ).
cnf(i_0_5889,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3960]) ).
cnf(i_0_5890,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(min),one_one_int)),one_one_int),pls)))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963]) ).
cnf(i_0_5891,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(X1))) ),
inference(rename_variables,[],[i_0_3963]) ).
cnf(i_0_5892,plain,
esk32_2(zero_zero_nat,number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))) != zero_zero_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115]) ).
cnf(i_0_5893,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != zero_zero_nat ),
inference(rename_variables,[],[i_0_4115]) ).
cnf(i_0_5894,plain,
X1 = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257]) ).
cnf(i_0_5895,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X3),X2)
| X1 = X3 ),
inference(rename_variables,[],[i_0_4257]) ).
cnf(i_0_5896,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X1),X2)))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606]) ).
cnf(i_0_5897,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1))),
inference(rename_variables,[],[i_0_4726]) ).
cnf(i_0_5898,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(rename_variables,[],[i_0_3606]) ).
cnf(i_0_5899,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X1),X3))),X4))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455]) ).
cnf(i_0_5900,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X1)),X3))),
inference(rename_variables,[],[i_0_4687]) ).
cnf(i_0_5901,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),X3)) ),
inference(rename_variables,[],[i_0_3455]) ).
cnf(i_0_5902,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X3),X1))),X4))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456]) ).
cnf(i_0_5903,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X1)),X3))),
inference(rename_variables,[],[i_0_4687]) ).
cnf(i_0_5904,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(X1),X2)),X3))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X3)) ),
inference(rename_variables,[],[i_0_3456]) ).
cnf(i_0_5905,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(pls)),number267125858f_real(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841]) ).
cnf(i_0_5906,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2))) ),
inference(rename_variables,[],[i_0_3841]) ).
cnf(i_0_5907,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X1),hAPP_int_int(div_mod_int(zero_zero_int),X1))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932]) ).
cnf(i_0_5908,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X1),X2),X1),X2)),
inference(rename_variables,[],[i_0_5328]) ).
cnf(i_0_5909,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,zero_zero_int),X2))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X2),X1)) ),
inference(rename_variables,[],[i_0_3932]) ).
cnf(i_0_5910,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3)),X4))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446]) ).
cnf(i_0_5911,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3))),
inference(rename_variables,[],[i_0_4668]) ).
cnf(i_0_5912,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),X3)) ),
inference(rename_variables,[],[i_0_3446]) ).
cnf(i_0_5913,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X2),X1)),X3)),X4))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447]) ).
cnf(i_0_5914,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(X1),X2)),X3))),
inference(rename_variables,[],[i_0_4668]) ).
cnf(i_0_5915,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(X1),X2)),X3))
| hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X2),X3)) ),
inference(rename_variables,[],[i_0_3447]) ).
cnf(i_0_5916,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),zero_zero_nat))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5583,i_0_5565,i_0_5317,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772]) ).
cnf(i_0_5917,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),X2))),
inference(rename_variables,[],[i_0_5317]) ).
cnf(i_0_5918,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5919,plain,
hAPP_real_real(times_times_real(X1),hAPP_real_real(times_times_real(zero_zero_real),X2)) = zero_zero_real,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142]) ).
cnf(i_0_5920,plain,
hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X1),hAPP_real_real(times_times_real(X2),hAPP_real_real(times_times_real(X1),X3)))),
inference(rename_variables,[],[i_0_5380]) ).
cnf(i_0_5921,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),X1))
| X1 = zero_zero_real ),
inference(rename_variables,[],[i_0_4142]) ).
cnf(i_0_5922,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(hAPP_int_int(times_times_int(X1),X1))),number267125858f_real(zero_zero_int))),
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597]) ).
cnf(i_0_5923,plain,
( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2)))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X2)),number267125858f_real(X1))) ),
inference(rename_variables,[],[i_0_3597]) ).
cnf(i_0_5924,plain,
hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1))),X3) = zero_zero_nat,
inference(scs_inference,[],[i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324]) ).
cnf(i_0_5925,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != X1
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_4324]) ).
cnf(i_0_5926,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),
inference(scs_inference,[],[i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258]) ).
cnf(i_0_5927,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X1),X2)),
inference(rename_variables,[],[i_0_5530]) ).
cnf(i_0_5928,plain,
( hAPP_nat_nat(plus_plus_nat(X1),X2) != hAPP_nat_nat(plus_plus_nat(X1),X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_4258]) ).
cnf(i_0_5929,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) != hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X1),
inference(scs_inference,[],[i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5501,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509]) ).
cnf(i_0_5930,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)),X1),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5501,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493]) ).
cnf(i_0_5931,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(X1),hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X2))),zero_zero_nat)),X1)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5501,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171]) ).
cnf(i_0_5932,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5933,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk37_3(X1,X2,X3)),X3))
| hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_3171]) ).
cnf(i_0_5934,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X1),one_one_nat)),X2))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5501,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241]) ).
cnf(i_0_5935,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X3),X2)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X3))
| X2 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3241]) ).
cnf(i_0_5936,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))),X1)),X2))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238]) ).
cnf(i_0_5937,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),hAPP_nat_nat(times_times_nat(X2),hAPP_nat_nat(times_times_nat(X1),X3)))),
inference(rename_variables,[],[i_0_5303]) ).
cnf(i_0_5938,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(X1),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X2),X3))
| X1 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3238]) ).
cnf(i_0_5939,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2))) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028]) ).
cnf(i_0_5940,plain,
hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X1),X1)) = X1,
inference(rename_variables,[],[i_0_4807]) ).
cnf(i_0_5941,plain,
( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4) != X5
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5) ),
inference(rename_variables,[],[i_0_3028]) ).
cnf(i_0_5942,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,esk12_2(number267125858f_real(hAPP_int_int(plus_plus_int(pls),one_one_int)),hAPP_nat_nat(power_power_nat(X1),zero_zero_nat))),zero_zero_real)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409]) ).
cnf(i_0_5943,plain,
~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X1)),zero_zero_real)),
inference(rename_variables,[],[i_0_3600]) ).
cnf(i_0_5944,plain,
( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X1),X2)),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),zero_zero_real))
| ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)) ),
inference(rename_variables,[],[i_0_3409]) ).
cnf(i_0_5945,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(zero_zero_int),one_one_int)),one_one_int)),one_one_int))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428]) ).
cnf(i_0_5946,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X1)),zero_zero_int)),
inference(rename_variables,[],[i_0_3601]) ).
cnf(i_0_5947,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(X1),one_one_int)),one_one_int)),one_one_int)),X1)),
inference(rename_variables,[],[i_0_5212]) ).
cnf(i_0_5948,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(X1),X2)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X2)) ),
inference(rename_variables,[],[i_0_3428]) ).
cnf(i_0_5949,plain,
X1 = esk35_2(hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))),X1),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243]) ).
cnf(i_0_5950,plain,
hAPP_nat_nat(times_times_nat(X1),X2) = hAPP_nat_nat(times_times_nat(X1),esk35_2(hAPP_nat_nat(times_times_nat(X1),X2),X1)),
inference(rename_variables,[],[i_0_4832]) ).
cnf(i_0_5951,plain,
( hAPP_nat_nat(times_times_nat(X1),X2) != hAPP_nat_nat(times_times_nat(X1),X3)
| X1 = zero_zero_nat
| X2 = X3 ),
inference(rename_variables,[],[i_0_4243]) ).
cnf(i_0_5952,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X1)),X2))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271]) ).
cnf(i_0_5953,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)),X2))),
inference(rename_variables,[],[i_0_5300]) ).
cnf(i_0_5954,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_3271]) ).
cnf(i_0_5955,plain,
hAPP_int_int(div_mod_int(X1),t) = hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(X1),t)),t),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713]) ).
cnf(i_0_5956,plain,
hBOOL(hAPP_int_bool(zcong(X1,hAPP_int_int(div_mod_int(X1),X2)),X2)),
inference(rename_variables,[],[i_0_3839]) ).
cnf(i_0_5957,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X3))
| hAPP_int_int(div_mod_int(X1),X3) = hAPP_int_int(div_mod_int(X2),X3) ),
inference(rename_variables,[],[i_0_3713]) ).
cnf(i_0_5958,plain,
~ hBOOL(hAPP_int_bool(zcong(one_one_int,hAPP_int_int(div_mod_int(t),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5678,i_0_5672,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623]) ).
cnf(i_0_5959,plain,
hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(X1),X2),X1),X2)),
inference(rename_variables,[],[i_0_5328]) ).
cnf(i_0_5960,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| hBOOL(hAPP_int_bool(zcong(X4,X2),X3))
| ~ hBOOL(hAPP_int_bool(zcong(X4,X1),X3)) ),
inference(rename_variables,[],[i_0_3623]) ).
cnf(i_0_5961,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat) = hAPP_int_int(plus_plus_int(hAPP_real_real(plus_plus_real(hAPP_nat_nat(plus_plus_nat(hAPP_int_int(minus_minus_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),X1)),zero_zero_nat)),zero_zero_real)),X1),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259]) ).
cnf(i_0_5962,plain,
X1 = hAPP_real_real(plus_plus_real(hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)),zero_zero_real),
inference(rename_variables,[],[i_0_4888]) ).
cnf(i_0_5963,plain,
( hAPP_int_int(minus_minus_int(X1),X2) != X3
| X1 = hAPP_int_int(plus_plus_int(X3),X2)
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4259]) ).
cnf(i_0_5964,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),zero_zero_nat))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893]) ).
cnf(i_0_5965,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(rename_variables,[],[i_0_4140]) ).
cnf(i_0_5966,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)),X4)),X5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X3)),X4)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X3)),X5)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(rename_variables,[],[i_0_2893]) ).
cnf(i_0_5967,plain,
hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),X2))) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X1),X2)),X3),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029]) ).
cnf(i_0_5968,plain,
hAPP_nat_nat(plus_plus_nat(X1),X2) = hAPP_nat_nat(plus_plus_nat(X2),X1),
inference(rename_variables,[],[i_0_4303]) ).
cnf(i_0_5969,plain,
( X1 != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(X2),X3)),X4)),X5)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),X4)),X1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X2),X4)),X5) ),
inference(rename_variables,[],[i_0_3029]) ).
cnf(i_0_5970,plain,
X1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))),esk36_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))),X1,number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))))),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))),X1,number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090]) ).
cnf(i_0_5971,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(rename_variables,[],[i_0_4119]) ).
cnf(i_0_5972,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| X2 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X3),esk36_3(X1,X2,X3))),esk37_3(X1,X2,X3))
| X3 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3090]) ).
cnf(i_0_5973,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat)),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat)),X1,zero_zero_nat))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233]) ).
cnf(i_0_5974,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5975,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(X1,esk16_3(X1,X2,X3))) ),
inference(rename_variables,[],[i_0_3233]) ).
cnf(i_0_5976,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat)),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat)),X1,zero_zero_nat))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234]) ).
cnf(i_0_5977,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5978,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(X1,esk15_3(X1,X2,X3))) ),
inference(rename_variables,[],[i_0_3234]) ).
cnf(i_0_5979,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))),zero_zero_nat)),esk37_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)))),zero_zero_nat)),X1,number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389]) ).
cnf(i_0_5980,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5981,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,esk37_3(X1,X2,X3)))
| X3 = zero_zero_nat ),
inference(rename_variables,[],[i_0_3389]) ).
cnf(i_0_5982,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat) = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(one_one_int),esk10_3(X1,esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat),one_one_int))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519]) ).
cnf(i_0_5983,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),one_one_int)),
inference(rename_variables,[],[i_0_4205]) ).
cnf(i_0_5984,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| X2 = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(times_times_int(X3),esk10_3(X1,X2,X3)))
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3519]) ).
cnf(i_0_5985,plain,
hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X1)),hAPP_nat_nat(minus_minus_nat(X1),X1)) = hAPP_nat_nat(minus_minus_nat(X1),X1),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529]) ).
cnf(i_0_5986,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),hAPP_nat_nat(minus_minus_nat(X3),X1)) = hAPP_nat_nat(minus_minus_nat(X2),X3) ),
inference(rename_variables,[],[i_0_3529]) ).
cnf(i_0_5987,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_nat_nat(div_mod_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),zero_zero_nat))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603]) ).
cnf(i_0_5988,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4854]) ).
cnf(i_0_5989,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)) ),
inference(rename_variables,[],[i_0_3603]) ).
cnf(i_0_5990,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat)),X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664]) ).
cnf(i_0_5991,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5992,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| X2 = hAPP_nat_nat(plus_plus_nat(X3),esk16_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_3664]) ).
cnf(i_0_5993,plain,
X1 = hAPP_nat_nat(plus_plus_nat(zero_zero_nat),esk15_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)),zero_zero_nat)),X1,zero_zero_nat)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665]) ).
cnf(i_0_5994,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_5995,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| X2 = hAPP_nat_nat(plus_plus_nat(X3),esk15_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_3665]) ).
cnf(i_0_5996,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls))),number_number_of_nat(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls))) = number_number_of_nat(hAPP_int_int(plus_plus_int(esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls)),esk24_3(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min,pls))),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685]) ).
cnf(i_0_5997,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(hAPP_int_int(plus_plus_int(X1),X2)) ),
inference(rename_variables,[],[i_0_3685]) ).
cnf(i_0_5998,plain,
hAPP_nat_nat(plus_plus_nat(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) != hAPP_nat_nat(plus_plus_nat(zero_zero_nat),zero_zero_nat),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779]) ).
cnf(i_0_5999,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| hAPP_nat_nat(plus_plus_nat(X1),X4) != hAPP_nat_nat(plus_plus_nat(X3),X2) ),
inference(rename_variables,[],[i_0_3779]) ).
cnf(i_0_6000,plain,
is_int(esk10_3(X1,esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat),one_one_int)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814]) ).
cnf(i_0_6001,plain,
hBOOL(hAPP_int_bool(zcong(X1,X2),one_one_int)),
inference(rename_variables,[],[i_0_4205]) ).
cnf(i_0_6002,plain,
( ~ hBOOL(hAPP_int_bool(zcong(X1,X2),X3))
| is_int(esk10_3(X1,X2,X3))
| ~ is_int(X2) ),
inference(rename_variables,[],[i_0_3814]) ).
cnf(i_0_6003,plain,
hAPP_nat_nat(plus_plus_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int))),number_number_of_nat(min)) = number_number_of_nat(hAPP_int_int(plus_plus_int(pls),one_one_int)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873]) ).
cnf(i_0_6004,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))
| hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2)) = number_number_of_nat(X1) ),
inference(rename_variables,[],[i_0_3873]) ).
cnf(i_0_6005,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(X1),esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),zero_zero_nat)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),zero_zero_nat),zero_zero_nat))),zero_zero_nat)),X1)),
inference(scs_inference,[],[i_0_5623,i_0_5530,i_0_5419,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004]) ).
cnf(i_0_6006,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_6007,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat) = X1,
inference(rename_variables,[],[i_0_5419]) ).
cnf(i_0_6008,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(div_mod_nat(X2),X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X2))
| X3 != zero_zero_nat ),
inference(rename_variables,[],[i_0_4004]) ).
cnf(i_0_6009,plain,
~ epred1_3(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),zero_zero_int,esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),zero_zero_int)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),zero_zero_int),zero_zero_nat)),
inference(scs_inference,[],[i_0_5094,i_0_5623,i_0_5530,i_0_5419,i_0_6007,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4123]) ).
cnf(i_0_6010,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1),zero_zero_nat) = X1,
inference(rename_variables,[],[i_0_5419]) ).
cnf(i_0_6011,plain,
( hBOOL(hAPP_int_bool(X1,X2))
| X3 != zero_zero_int
| ~ epred1_3(X1,X2,X3) ),
inference(rename_variables,[],[i_0_4123]) ).
cnf(i_0_6012,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat) = hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),zero_zero_int)),esk34_2(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat),hAPP_int_int(minus_minus_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),zero_zero_int))),
inference(scs_inference,[],[i_0_5094,i_0_5623,i_0_5530,i_0_5419,i_0_6007,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_5369,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4123,i_0_4174]) ).
cnf(i_0_6013,plain,
hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X1),zero_zero_int)) = zero_zero_int,
inference(rename_variables,[],[i_0_5369]) ).
cnf(i_0_6014,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| X1 = hAPP_int_int(times_times_int(X2),esk34_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4174]) ).
cnf(i_0_6015,plain,
esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat) = hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),zero_zero_int)),esk33_2(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat),hAPP_int_int(minus_minus_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),zero_zero_int))),
inference(scs_inference,[],[i_0_5094,i_0_5623,i_0_5530,i_0_5419,i_0_6007,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_5369,i_0_6013,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4123,i_0_4174,i_0_4175]) ).
cnf(i_0_6016,plain,
hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X1),zero_zero_int)) = zero_zero_int,
inference(rename_variables,[],[i_0_5369]) ).
cnf(i_0_6017,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| X1 = hAPP_int_int(times_times_int(X2),esk33_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4175]) ).
cnf(i_0_6018,plain,
is_int(esk34_2(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat),hAPP_int_int(minus_minus_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),zero_zero_int))),
inference(scs_inference,[],[i_0_5094,i_0_5623,i_0_5530,i_0_5419,i_0_6007,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_5369,i_0_6013,i_0_6016,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4123,i_0_4174,i_0_4175,i_0_4236]) ).
cnf(i_0_6019,plain,
hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X1),zero_zero_int)) = zero_zero_int,
inference(rename_variables,[],[i_0_5369]) ).
cnf(i_0_6020,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| is_int(esk34_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4236]) ).
cnf(i_0_6021,plain,
is_int(esk33_2(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat),hAPP_int_int(minus_minus_int(esk16_3(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real))),zero_zero_nat)),hAPP_nat_nat(plus_plus_nat(zero_zero_nat),hAPP_real_real(plus_plus_real(esk9_0),zero_zero_real)),zero_zero_nat)),zero_zero_int))),
inference(scs_inference,[],[i_0_5094,i_0_5623,i_0_5530,i_0_5419,i_0_6007,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_5369,i_0_6013,i_0_6016,i_0_6019,i_0_4303,i_0_4998,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237]) ).
cnf(i_0_6022,plain,
hAPP_int_int(div_mod_int(X1),hAPP_int_int(minus_minus_int(X1),zero_zero_int)) = zero_zero_int,
inference(rename_variables,[],[i_0_5369]) ).
cnf(i_0_6023,plain,
( hAPP_int_int(div_mod_int(X1),X2) != zero_zero_int
| is_int(esk33_2(X1,X2))
| ~ is_int(X1) ),
inference(rename_variables,[],[i_0_4237]) ).
cnf(i_0_6024,plain,
hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat) = X1,
inference(scs_inference,[],[i_0_5094,i_0_5623,i_0_5530,i_0_5419,i_0_6007,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_6006,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_5369,i_0_6013,i_0_6016,i_0_6019,i_0_4303,i_0_4998,i_0_3874,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3922]) ).
cnf(i_0_6025,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(X1),zero_zero_nat)),X1)),
inference(rename_variables,[],[i_0_4859]) ).
cnf(i_0_6026,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(X1),X2)),X1)),
inference(rename_variables,[],[i_0_3874]) ).
cnf(i_0_6027,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3922]) ).
cnf(i_0_6028,plain,
$false,
inference(scs_inference,[],[i_0_5094,i_0_5623,i_0_5530,i_0_5419,i_0_6007,i_0_4888,i_0_5678,i_0_5672,i_0_5605,i_0_4214,i_0_5854,i_0_4140,i_0_5863,i_0_5965,i_0_4235,i_0_4205,i_0_5775,i_0_5983,i_0_5143,i_0_4859,i_0_5802,i_0_5837,i_0_5860,i_0_5932,i_0_5974,i_0_5977,i_0_5980,i_0_5991,i_0_5994,i_0_6006,i_0_2898,i_0_4668,i_0_5911,i_0_4687,i_0_5900,i_0_4946,i_0_5796,i_0_5009,i_0_3677,i_0_5877,i_0_4728,i_0_4067,i_0_3839,i_0_4757,i_0_4957,i_0_5746,i_0_4726,i_0_4897,i_0_4738,i_0_4978,i_0_4740,i_0_5145,i_0_4244,i_0_4778,i_0_4807,i_0_4832,i_0_5328,i_0_5846,i_0_5908,i_0_5353,i_0_5296,i_0_5580,i_0_5402,i_0_5424,i_0_5359,i_0_4982,i_0_5486,i_0_5319,i_0_5361,i_0_5638,i_0_5303,i_0_5739,i_0_5380,i_0_5300,i_0_5583,i_0_5565,i_0_5317,i_0_4854,i_0_5212,i_0_5071,i_0_5716,i_0_5501,i_0_5270,i_0_5277,i_0_5369,i_0_6013,i_0_6016,i_0_6019,i_0_4303,i_0_4998,i_0_3874,i_0_5090,i_0_5151,i_0_4119,i_0_3600,i_0_3601,i_0_4484,i_0_4234,i_0_4207,i_0_3486,i_0_4146,i_0_3662,i_0_3663,i_0_3714,i_0_3732,i_0_3733,i_0_3734,i_0_3837,i_0_3889,i_0_3911,i_0_3912,i_0_3913,i_0_3936,i_0_3978,i_0_3994,i_0_4098,i_0_4100,i_0_4101,i_0_4114,i_0_4121,i_0_4204,i_0_4206,i_0_4262,i_0_4546,i_0_4547,i_0_4548,i_0_4583,i_0_3448,i_0_3449,i_0_3751,i_0_3848,i_0_3878,i_0_3934,i_0_3969,i_0_3977,i_0_3993,i_0_4018,i_0_4084,i_0_4090,i_0_4109,i_0_4120,i_0_4122,i_0_4326,i_0_3367,i_0_3599,i_0_3750,i_0_3842,i_0_3904,i_0_4092,i_0_4094,i_0_4113,i_0_4133,i_0_4574,i_0_4576,i_0_4585,i_0_3398,i_0_3651,i_0_3840,i_0_3844,i_0_3846,i_0_4228,i_0_3453,i_0_3454,i_0_3598,i_0_3830,i_0_3926,i_0_3960,i_0_3963,i_0_4115,i_0_4257,i_0_3606,i_0_3455,i_0_3456,i_0_3841,i_0_3932,i_0_3446,i_0_3447,i_0_3772,i_0_4142,i_0_3597,i_0_4324,i_0_4258,i_0_4509,i_0_4493,i_0_3171,i_0_3241,i_0_3238,i_0_3028,i_0_3409,i_0_3428,i_0_4243,i_0_3271,i_0_3713,i_0_3623,i_0_4259,i_0_2893,i_0_3029,i_0_3090,i_0_3233,i_0_3234,i_0_3389,i_0_3519,i_0_3529,i_0_3603,i_0_3664,i_0_3665,i_0_3685,i_0_3779,i_0_3814,i_0_3873,i_0_4004,i_0_4123,i_0_4174,i_0_4175,i_0_4236,i_0_4237,i_0_3922,i_0_3604]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM926+3 : 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
% 0.16/0.33 % Computer : n021.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:22:55 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 8.46/5.85 % Version : CSE_E---1.7
% 8.46/5.85 % Problem : theBenchmark.p
% 8.46/5.85 % SZS status Theorem for theBenchmark.p
% 8.46/5.85 % SZS output start CNFRefutation
% See solution above
% 37.38/23.99 % Total time : 5.504s
%------------------------------------------------------------------------------