TSTP Solution File: NUM924+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM924+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 12:31:33 EDT 2022
% Result : Theorem 1.98s 2.16s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 81
% Syntax : Number of formulae : 325 ( 188 unt; 0 def)
% Number of atoms : 525 ( 506 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 404 ( 204 ~; 200 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 175 ( 3 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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)),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)),zero_zero_int))) ).
fof(fact_3_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) ).
fof(fact_41_zmult__assoc,axiom,
! [Z1,Z2,Z3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3) = hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3)) ).
fof(fact_88_mult__Pls,axiom,
! [W] : hAPP_int_int(times_times_int(pls),W) = pls ).
fof(fact_134_zadd__commute,axiom,
! [Z,W] : hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z) ).
fof(fact_135_zero__is__num__zero,axiom,
zero_zero_int = number_number_of_int(pls) ).
fof(fact_171_Bit0__Pls,axiom,
bit0(pls) = pls ).
fof(fact_172_Pls__def,axiom,
pls = zero_zero_int ).
fof(fact_182_Bit0__def,axiom,
! [K_1] : bit0(K_1) = hAPP_int_int(plus_plus_int(K_1),K_1) ).
fof(fact_203_power2__eq__square,axiom,
! [A_103] : hAPP_nat_int(power_power_int(A_103),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(A_103),A_103) ).
fof(fact_212_semiring__norm_I112_J,axiom,
zero_zero_int = number_number_of_int(pls) ).
fof(fact_236_Bit1__def,axiom,
! [K_1] : bit1(K_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1) ).
fof(fact_248_number__of__Bit1,axiom,
! [W_3] : number_number_of_int(bit1(W_3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)) ).
fof(fact_251_semiring__numeral__1__eq__1,axiom,
number_number_of_int(bit1(pls)) = one_one_int ).
fof(fact_253_numeral__1__eq__1,axiom,
number_number_of_int(bit1(pls)) = one_one_int ).
fof(fact_318_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [Lx_3,Ly_1,Rx_3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1) ).
fof(fact_327_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [Lx,Rx,Ry] : hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)) = hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry)) ).
fof(fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [A_90] : hAPP_int_int(times_times_int(A_90),zero_zero_int) = zero_zero_int ).
fof(fact_418_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [M_10,A_81] : hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10) ).
fof(fact_1068__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) ).
fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U,axiom,
! [P,Q,R] : hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q) ).
fof(conj_0,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) ).
fof(subgoal_0,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(strip,[],[conj_0]) ).
fof(negate_0_0,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,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(canonicalize,[],[fact_3_t]) ).
fof(normalize_0_2,plain,
! [A_103] : hAPP_nat_int(power_power_int(A_103),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(A_103),A_103),
inference(canonicalize,[],[fact_203_power2__eq__square]) ).
fof(normalize_0_3,plain,
! [A_103] : hAPP_nat_int(power_power_int(A_103),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(A_103),A_103),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W,Z] : hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z),
inference(canonicalize,[],[fact_134_zadd__commute]) ).
fof(normalize_0_5,plain,
! [W,Z] : hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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(canonicalize,[],[fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096]) ).
fof(normalize_0_7,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(canonicalize,[],[fact_253_numeral__1__eq__1]) ).
fof(normalize_0_8,plain,
pls = zero_zero_int,
inference(canonicalize,[],[fact_172_Pls__def]) ).
fof(normalize_0_9,plain,
zero_zero_int = number_number_of_int(pls),
inference(canonicalize,[],[fact_212_semiring__norm_I112_J]) ).
fof(normalize_0_10,plain,
! [W_3] : number_number_of_int(bit1(W_3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)),
inference(canonicalize,[],[fact_248_number__of__Bit1]) ).
fof(normalize_0_11,plain,
! [W_3] : number_number_of_int(bit1(W_3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [K_1] : bit1(K_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1),
inference(canonicalize,[],[fact_236_Bit1__def]) ).
fof(normalize_0_13,plain,
! [K_1] : bit1(K_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [Lx_3,Ly_1,Rx_3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1),
inference(canonicalize,[],[fact_318_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(normalize_0_15,plain,
! [Lx_3,Ly_1,Rx_3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [Z1,Z2,Z3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3) = hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3)),
inference(canonicalize,[],[fact_41_zmult__assoc]) ).
fof(normalize_0_17,plain,
! [Z1,Z2,Z3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3) = hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [Lx,Rx,Ry] : hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)) = hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry)),
inference(canonicalize,[],[fact_327_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(normalize_0_19,plain,
! [Lx,Rx,Ry] : hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)) = hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A_81,M_10] : hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10),
inference(canonicalize,[],[fact_418_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(normalize_0_21,plain,
! [A_81,M_10] : hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [P,Q,R] : hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q),
inference(canonicalize,[],[help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U]) ).
fof(normalize_0_23,plain,
! [P,Q,R] : hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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)),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)),zero_zero_int))),
inference(canonicalize,[],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).
fof(normalize_0_25,plain,
bit0(pls) = pls,
inference(canonicalize,[],[fact_171_Bit0__Pls]) ).
fof(normalize_0_26,plain,
! [K_1] : bit0(K_1) = hAPP_int_int(plus_plus_int(K_1),K_1),
inference(canonicalize,[],[fact_182_Bit0__def]) ).
fof(normalize_0_27,plain,
! [K_1] : bit0(K_1) = hAPP_int_int(plus_plus_int(K_1),K_1),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A_90] : hAPP_int_int(times_times_int(A_90),zero_zero_int) = zero_zero_int,
inference(canonicalize,[],[fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(normalize_0_29,plain,
! [A_90] : hAPP_int_int(times_times_int(A_90),zero_zero_int) = zero_zero_int,
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [W] : hAPP_int_int(times_times_int(pls),W) = pls,
inference(canonicalize,[],[fact_88_mult__Pls]) ).
fof(normalize_0_31,plain,
! [W] : hAPP_int_int(times_times_int(pls),W) = pls,
inference(specialize,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,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(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
hAPP_nat_int(power_power_int(A_103),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(A_103),A_103),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(s),s),
inference(subst,[],[refute_0_2:[bind(A_103,$fot(s))]]) ).
cnf(refute_0_4,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))))]]) ).
cnf(refute_0_5,plain,
( hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))
| hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))) != hAPP_int_int(times_times_int(s),s)
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))) ),[1,1],$fot(hAPP_int_int(times_times_int(s),s))]]) ).
cnf(refute_0_6,plain,
( hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))) != hAPP_int_int(times_times_int(s),s)
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
inference(resolve,[$cnf( $equal(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),hAPP_int_int(times_times_int(s),s)) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( hAPP_int_int(plus_plus_int(Z),W) != hAPP_int_int(plus_plus_int(W),Z)
| hAPP_int_int(plus_plus_int(W),Z) = hAPP_int_int(plus_plus_int(Z),W) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(hAPP_int_int(plus_plus_int(Z),W))),bind(Y,$fot(hAPP_int_int(plus_plus_int(W),Z)))]]) ).
cnf(refute_0_13,plain,
hAPP_int_int(plus_plus_int(W),Z) = hAPP_int_int(plus_plus_int(Z),W),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(Z),W),hAPP_int_int(plus_plus_int(W),Z)) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),
inference(subst,[],[refute_0_13:[bind(W,$fot(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))),bind(Z,$fot(one_one_int))]]) ).
cnf(refute_0_15,plain,
( Y != X
| Y != Z0
| X = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z0) ),[0],$fot(X)]]) ).
cnf(refute_0_16,plain,
( X != Y
| Y != Z0
| X = Z0 ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))),bind(Y,$fot(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))))),bind(Z0,$fot(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))))]]) ).
cnf(refute_0_18,plain,
( hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))
| 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(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))) )],[refute_0_7,refute_0_18]) ).
cnf(refute_0_20,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) ),[0],$fot(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))]]) ).
cnf(refute_0_21,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)
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) = 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(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_23,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_24,plain,
pls = zero_zero_int,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_25,plain,
( pls != zero_zero_int
| zero_zero_int = pls ),
inference(subst,[],[refute_0_11:[bind(X,$fot(pls)),bind(Y,$fot(zero_zero_int))]]) ).
cnf(refute_0_26,plain,
zero_zero_int = pls,
inference(resolve,[$cnf( $equal(pls,zero_zero_int) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
zero_zero_int = number_number_of_int(pls),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_28,plain,
( zero_zero_int != number_number_of_int(pls)
| number_number_of_int(pls) = zero_zero_int ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero_zero_int)),bind(Y,$fot(number_number_of_int(pls)))]]) ).
cnf(refute_0_29,plain,
number_number_of_int(pls) = zero_zero_int,
inference(resolve,[$cnf( $equal(zero_zero_int,number_number_of_int(pls)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( number_number_of_int(pls) != zero_zero_int
| zero_zero_int != pls
| number_number_of_int(pls) = pls ),
inference(subst,[],[refute_0_16:[bind(X,$fot(number_number_of_int(pls))),bind(Y,$fot(zero_zero_int)),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_31,plain,
( zero_zero_int != pls
| number_number_of_int(pls) = pls ),
inference(resolve,[$cnf( $equal(number_number_of_int(pls),zero_zero_int) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
number_number_of_int(pls) = pls,
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_26,refute_0_31]) ).
cnf(refute_0_33,plain,
bit1(number_number_of_int(pls)) = bit1(number_number_of_int(pls)),
introduced(tautology,[refl,[$fot(bit1(number_number_of_int(pls)))]]) ).
cnf(refute_0_34,plain,
( bit1(number_number_of_int(pls)) != bit1(number_number_of_int(pls))
| number_number_of_int(pls) != pls
| bit1(number_number_of_int(pls)) = bit1(pls) ),
introduced(tautology,[equality,[$cnf( $equal(bit1(number_number_of_int(pls)),bit1(number_number_of_int(pls))) ),[1,0],$fot(pls)]]) ).
cnf(refute_0_35,plain,
( number_number_of_int(pls) != pls
| bit1(number_number_of_int(pls)) = bit1(pls) ),
inference(resolve,[$cnf( $equal(bit1(number_number_of_int(pls)),bit1(number_number_of_int(pls))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
bit1(number_number_of_int(pls)) = bit1(pls),
inference(resolve,[$cnf( $equal(number_number_of_int(pls),pls) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
number_number_of_int(bit1(W_3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_38,plain,
bit1(K_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_39,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1) = hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1)),
inference(subst,[],[refute_0_13:[bind(W,$fot(hAPP_int_int(plus_plus_int(one_one_int),K_1))),bind(Z,$fot(K_1))]]) ).
cnf(refute_0_40,plain,
( bit1(K_1) != hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1)
| hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1) != hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1))
| bit1(K_1) = hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(bit1(K_1),hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1))) ),[0],$fot(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1))]]) ).
cnf(refute_0_41,plain,
( bit1(K_1) != hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1)
| bit1(K_1) = hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1),hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
bit1(K_1) = hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1)),
inference(resolve,[$cnf( $equal(bit1(K_1),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
( bit1(K_1) != hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1))
| hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1)) = bit1(K_1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(bit1(K_1))),bind(Y,$fot(hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1))))]]) ).
cnf(refute_0_44,plain,
hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1)) = bit1(K_1),
inference(resolve,[$cnf( $equal(bit1(K_1),hAPP_int_int(plus_plus_int(K_1),hAPP_int_int(plus_plus_int(one_one_int),K_1))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))) = bit1(number_number_of_int(W_3)),
inference(subst,[],[refute_0_44:[bind(K_1,$fot(number_number_of_int(W_3)))]]) ).
cnf(refute_0_46,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)) = hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),
inference(subst,[],[refute_0_13:[bind(W,$fot(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3)))),bind(Z,$fot(number_number_of_int(W_3)))]]) ).
cnf(refute_0_47,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)) != hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3)))
| hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))) != bit1(number_number_of_int(W_3))
| hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)) = bit1(number_number_of_int(W_3)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)))),bind(Y,$fot(hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))))),bind(Z0,$fot(bit1(number_number_of_int(W_3))))]]) ).
cnf(refute_0_48,plain,
( hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))) != bit1(number_number_of_int(W_3))
| hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)) = bit1(number_number_of_int(W_3)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3)))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)) = bit1(number_number_of_int(W_3)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(number_number_of_int(W_3)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),bit1(number_number_of_int(W_3))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)) != bit1(number_number_of_int(W_3))
| number_number_of_int(bit1(W_3)) != hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3))
| number_number_of_int(bit1(W_3)) = bit1(number_number_of_int(W_3)) ),
introduced(tautology,[equality,[$cnf( $equal(number_number_of_int(bit1(W_3)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3))) ),[1],$fot(bit1(number_number_of_int(W_3)))]]) ).
cnf(refute_0_51,plain,
( number_number_of_int(bit1(W_3)) != hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3))
| number_number_of_int(bit1(W_3)) = bit1(number_number_of_int(W_3)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3)),bit1(number_number_of_int(W_3))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
number_number_of_int(bit1(W_3)) = bit1(number_number_of_int(W_3)),
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(W_3)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_3))),number_number_of_int(W_3))) )],[refute_0_37,refute_0_51]) ).
cnf(refute_0_53,plain,
number_number_of_int(bit1(pls)) = bit1(number_number_of_int(pls)),
inference(subst,[],[refute_0_52:[bind(W_3,$fot(pls))]]) ).
cnf(refute_0_54,plain,
( bit1(number_number_of_int(pls)) != bit1(pls)
| number_number_of_int(bit1(pls)) != bit1(number_number_of_int(pls))
| number_number_of_int(bit1(pls)) = bit1(pls) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(number_number_of_int(bit1(pls)))),bind(Y,$fot(bit1(number_number_of_int(pls)))),bind(Z0,$fot(bit1(pls)))]]) ).
cnf(refute_0_55,plain,
( bit1(number_number_of_int(pls)) != bit1(pls)
| number_number_of_int(bit1(pls)) = bit1(pls) ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(pls)),bit1(number_number_of_int(pls))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
number_number_of_int(bit1(pls)) = bit1(pls),
inference(resolve,[$cnf( $equal(bit1(number_number_of_int(pls)),bit1(pls)) )],[refute_0_36,refute_0_55]) ).
cnf(refute_0_57,plain,
( number_number_of_int(bit1(pls)) != bit1(pls)
| number_number_of_int(bit1(pls)) != one_one_int
| bit1(pls) = one_one_int ),
introduced(tautology,[equality,[$cnf( $equal(number_number_of_int(bit1(pls)),one_one_int) ),[0],$fot(bit1(pls))]]) ).
cnf(refute_0_58,plain,
( number_number_of_int(bit1(pls)) != one_one_int
| bit1(pls) = one_one_int ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(pls)),bit1(pls)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
bit1(pls) = one_one_int,
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(pls)),one_one_int) )],[refute_0_23,refute_0_58]) ).
cnf(refute_0_60,plain,
bit0(bit1(pls)) = bit0(bit1(pls)),
introduced(tautology,[refl,[$fot(bit0(bit1(pls)))]]) ).
cnf(refute_0_61,plain,
( bit0(bit1(pls)) != bit0(bit1(pls))
| bit1(pls) != one_one_int
| bit0(bit1(pls)) = bit0(one_one_int) ),
introduced(tautology,[equality,[$cnf( $equal(bit0(bit1(pls)),bit0(bit1(pls))) ),[1,0],$fot(one_one_int)]]) ).
cnf(refute_0_62,plain,
( bit1(pls) != one_one_int
| bit0(bit1(pls)) = bit0(one_one_int) ),
inference(resolve,[$cnf( $equal(bit0(bit1(pls)),bit0(bit1(pls))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
bit0(bit1(pls)) = bit0(one_one_int),
inference(resolve,[$cnf( $equal(bit1(pls),one_one_int) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
bit0(bit0(bit1(pls))) = bit0(bit0(bit1(pls))),
introduced(tautology,[refl,[$fot(bit0(bit0(bit1(pls))))]]) ).
cnf(refute_0_65,plain,
( bit0(bit0(bit1(pls))) != bit0(bit0(bit1(pls)))
| bit0(bit1(pls)) != bit0(one_one_int)
| bit0(bit0(bit1(pls))) = bit0(bit0(one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(bit0(bit0(bit1(pls))),bit0(bit0(bit1(pls)))) ),[1,0],$fot(bit0(one_one_int))]]) ).
cnf(refute_0_66,plain,
( bit0(bit1(pls)) != bit0(one_one_int)
| bit0(bit0(bit1(pls))) = bit0(bit0(one_one_int)) ),
inference(resolve,[$cnf( $equal(bit0(bit0(bit1(pls))),bit0(bit0(bit1(pls)))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
bit0(bit0(bit1(pls))) = bit0(bit0(one_one_int)),
inference(resolve,[$cnf( $equal(bit0(bit1(pls)),bit0(one_one_int)) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(bit1(pls)))),
introduced(tautology,[refl,[$fot(number_number_of_int(bit0(bit0(bit1(pls)))))]]) ).
cnf(refute_0_69,plain,
( bit0(bit0(bit1(pls))) != bit0(bit0(one_one_int))
| number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(bit1(pls))))
| number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(bit1(pls))))) ),[1,0],$fot(bit0(bit0(one_one_int)))]]) ).
cnf(refute_0_70,plain,
( bit0(bit0(bit1(pls))) != bit0(bit0(one_one_int))
| number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(one_one_int))) ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(bit1(pls))))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(one_one_int))),
inference(resolve,[$cnf( $equal(bit0(bit0(bit1(pls))),bit0(bit0(one_one_int))) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_73,plain,
( hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))
| number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) ),[1,1],$fot(number_number_of_int(bit0(bit0(one_one_int))))]]) ).
cnf(refute_0_74,plain,
( number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(one_one_int)))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_77,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))) ),[1,1],$fot(hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))]]) ).
cnf(refute_0_78,plain,
( hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_81,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3) = hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_82,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)),
inference(subst,[],[refute_0_81:[bind(Z1,$fot(Lx_3)),bind(Z2,$fot(Ly_1)),bind(Z3,$fot(Rx_3))]]) ).
cnf(refute_0_83,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) != hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) != hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)) ),[0],$fot(hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)))]]) ).
cnf(refute_0_84,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) != hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3),hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1)),
inference(subst,[],[refute_0_81:[bind(Z1,$fot(Lx_3)),bind(Z2,$fot(Rx_3)),bind(Z3,$fot(Ly_1))]]) ).
cnf(refute_0_86,plain,
( hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) != hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1) != hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1))
| hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)),hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1))) ),[0],$fot(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1))]]) ).
cnf(refute_0_87,plain,
( hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) != hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1),hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) != hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1)),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1)) )],[refute_0_80,refute_0_88]) ).
cnf(refute_0_90,plain,
( hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) != hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1))
| hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1)) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)))),bind(Y,$fot(hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1))))]]) ).
cnf(refute_0_91,plain,
hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1)) = hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Ly_1),Rx_3)),hAPP_int_int(times_times_int(Lx_3),hAPP_int_int(times_times_int(Rx_3),Ly_1))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(subst,[],[refute_0_91:[bind(Lx_3,$fot(m)),bind(Ly_1,$fot(t)),bind(Rx_3,$fot(number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_93,plain,
hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)) = hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_94,plain,
( hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)) != hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry))
| hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry)) = hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)))),bind(Y,$fot(hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry))))]]) ).
cnf(refute_0_95,plain,
hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry)) = hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)),hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t)),
inference(subst,[],[refute_0_95:[bind(Lx,$fot(m)),bind(Rx,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Ry,$fot(t))]]) ).
cnf(refute_0_97,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)))),bind(Y,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t)))),bind(Z0,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_98,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_92,refute_0_98]) ).
cnf(refute_0_100,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) = hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)),
inference(subst,[],[refute_0_81:[bind(Z1,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Z2,$fot(m)),bind(Z3,$fot(t))]]) ).
cnf(refute_0_101,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) != hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))),bind(Y,$fot(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)))),bind(Z0,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_102,plain,
( hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))),bind(Y,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))))),bind(Z0,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))))]]) ).
cnf(refute_0_105,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) )],[refute_0_79,refute_0_105]) ).
cnf(refute_0_107,plain,
hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)),
introduced(tautology,[refl,[$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)))]]) ).
cnf(refute_0_108,plain,
( hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))
| hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))) ),[1,1],$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))]]) ).
cnf(refute_0_109,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))
| hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_112,plain,
( hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)) != hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10)
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10) = hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)))),bind(Y,$fot(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10)))]]) ).
cnf(refute_0_113,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10) = hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(M_10),hAPP_int_int(times_times_int(A_81),M_10)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_81),one_one_int)),M_10)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)),
inference(subst,[],[refute_0_113:[bind(A_81,$fot(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m))),bind(M_10,$fot(t))]]) ).
cnf(refute_0_115,plain,
( hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(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))),bind(Y,$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)))),bind(Z0,$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))))]]) ).
cnf(refute_0_116,plain,
( hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(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) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_110,refute_0_116]) ).
cnf(refute_0_118,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))
| twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) != hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)
| twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) ),
introduced(tautology,[equality,[$cnf( $equal(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) ),[1],$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))))]]) ).
cnf(refute_0_119,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)
| twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))),
inference(resolve,[$cnf( $equal(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) )],[refute_0_22,refute_0_119]) ).
cnf(refute_0_121,plain,
( twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))
| hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))),bind(Y,$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))))]]) ).
cnf(refute_0_122,plain,
hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(resolve,[$cnf( $equal(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))
| hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)))),bind(Y,$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))))),bind(Z0,$fot(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))]]) ).
cnf(refute_0_124,plain,
( hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_110,refute_0_123]) ).
cnf(refute_0_125,plain,
hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(bit0(bit0(one_one_int)))))),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) )],[refute_0_122,refute_0_124]) ).
cnf(refute_0_126,plain,
( hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) != hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(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))),bind(Y,$fot(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)))),bind(Z0,$fot(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))]]) ).
cnf(refute_0_127,plain,
( hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)) != 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) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t))) )],[refute_0_114,refute_0_126]) ).
cnf(refute_0_128,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),t)),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) )],[refute_0_125,refute_0_127]) ).
cnf(refute_0_129,plain,
( hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) != hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),[0],$fot(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))]]) ).
cnf(refute_0_130,plain,
( hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) != 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)
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) )],[refute_0_21,refute_0_130]) ).
cnf(refute_0_132,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) )],[refute_0_1,refute_0_131]) ).
cnf(refute_0_133,plain,
( hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))))),bind(Y,$fot(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),bind(Z0,$fot(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))]]) ).
cnf(refute_0_134,plain,
( hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))) )],[refute_0_7,refute_0_133]) ).
cnf(refute_0_135,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) )],[refute_0_132,refute_0_134]) ).
cnf(refute_0_136,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))),bind(Y,$fot(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))))),bind(Z0,$fot(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))]]) ).
cnf(refute_0_137,plain,
( hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))) != twoSqu1241645765sum2sq(product_Pair_int_int(s,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) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))))) )],[refute_0_14,refute_0_136]) ).
cnf(refute_0_138,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) )],[refute_0_135,refute_0_137]) ).
cnf(refute_0_139,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),
introduced(tautology,[refl,[$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)))]]) ).
cnf(refute_0_140,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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_bool(cOMBC_int_int_bool(ord_less_int,pls),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(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))) ),[1,1],$fot(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))]]) ).
cnf(refute_0_141,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
cOMBC_int_int_bool(ord_less_int,zero_zero_int) = cOMBC_int_int_bool(ord_less_int,zero_zero_int),
introduced(tautology,[refl,[$fot(cOMBC_int_int_bool(ord_less_int,zero_zero_int))]]) ).
cnf(refute_0_144,plain,
( cOMBC_int_int_bool(ord_less_int,zero_zero_int) != cOMBC_int_int_bool(ord_less_int,zero_zero_int)
| zero_zero_int != pls
| cOMBC_int_int_bool(ord_less_int,zero_zero_int) = cOMBC_int_int_bool(ord_less_int,pls) ),
introduced(tautology,[equality,[$cnf( $equal(cOMBC_int_int_bool(ord_less_int,zero_zero_int),cOMBC_int_int_bool(ord_less_int,zero_zero_int)) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_145,plain,
( zero_zero_int != pls
| cOMBC_int_int_bool(ord_less_int,zero_zero_int) = cOMBC_int_int_bool(ord_less_int,pls) ),
inference(resolve,[$cnf( $equal(cOMBC_int_int_bool(ord_less_int,zero_zero_int),cOMBC_int_int_bool(ord_less_int,zero_zero_int)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
cOMBC_int_int_bool(ord_less_int,zero_zero_int) = cOMBC_int_int_bool(ord_less_int,pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_26,refute_0_145]) ).
cnf(refute_0_147,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),
introduced(tautology,[refl,[$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)))]]) ).
cnf(refute_0_148,plain,
( cOMBC_int_int_bool(ord_less_int,zero_zero_int) != cOMBC_int_int_bool(ord_less_int,pls)
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),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_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),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_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),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_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))) ),[1,0],$fot(cOMBC_int_int_bool(ord_less_int,pls))]]) ).
cnf(refute_0_149,plain,
( cOMBC_int_int_bool(ord_less_int,zero_zero_int) != cOMBC_int_int_bool(ord_less_int,pls)
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),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_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),
inference(resolve,[$cnf( $equal(cOMBC_int_int_bool(ord_less_int,zero_zero_int),cOMBC_int_int_bool(ord_less_int,pls)) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)))),bind(Y,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)))),bind(Z0,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))))]]) ).
cnf(refute_0_152,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),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_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) )],[refute_0_142,refute_0_152]) ).
cnf(refute_0_154,plain,
hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_155,plain,
( hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) != hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q)
| hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q) = hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(hAPP_int_bool(cOMBC_int_int_bool(P,Q),R))),bind(Y,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q)))]]) ).
cnf(refute_0_156,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q) = hAPP_int_bool(cOMBC_int_int_bool(P,Q),R),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(P,Q),R),hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),
inference(subst,[],[refute_0_156:[bind(P,$fot(ord_less_int)),bind(Q,$fot(zero_zero_int)),bind(R,$fot(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)))]]) ).
cnf(refute_0_158,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),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_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),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_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int))),bind(Y,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)))),bind(Z0,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))))]]) ).
cnf(refute_0_159,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) )],[refute_0_153,refute_0_159]) ).
cnf(refute_0_161,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| ~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) ),
introduced(tautology,[equality,[$cnf( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) ),[0],$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))]]) ).
cnf(refute_0_162,plain,
( ~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))),
inference(resolve,[$cnf( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) )],[refute_0_162,refute_0_0]) ).
cnf(refute_0_164,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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)),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)),zero_zero_int))),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_165,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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)),
introduced(tautology,[refl,[$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)))]]) ).
cnf(refute_0_166,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))) ),[1,1],$fot(twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))]]) ).
cnf(refute_0_167,plain,
( 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) != twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) )],[refute_0_128,refute_0_167]) ).
cnf(refute_0_169,plain,
bit0(pls) = pls,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_170,plain,
bit0(K_1) = hAPP_int_int(plus_plus_int(K_1),K_1),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_171,plain,
( bit0(K_1) != hAPP_int_int(plus_plus_int(K_1),K_1)
| hAPP_int_int(plus_plus_int(K_1),K_1) = bit0(K_1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(bit0(K_1))),bind(Y,$fot(hAPP_int_int(plus_plus_int(K_1),K_1)))]]) ).
cnf(refute_0_172,plain,
hAPP_int_int(plus_plus_int(K_1),K_1) = bit0(K_1),
inference(resolve,[$cnf( $equal(bit0(K_1),hAPP_int_int(plus_plus_int(K_1),K_1)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
hAPP_int_int(plus_plus_int(pls),pls) = bit0(pls),
inference(subst,[],[refute_0_172:[bind(K_1,$fot(pls))]]) ).
cnf(refute_0_174,plain,
( bit0(pls) != pls
| hAPP_int_int(plus_plus_int(pls),pls) != bit0(pls)
| hAPP_int_int(plus_plus_int(pls),pls) = pls ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(pls),pls))),bind(Y,$fot(bit0(pls))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_175,plain,
( bit0(pls) != pls
| hAPP_int_int(plus_plus_int(pls),pls) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(pls),pls),bit0(pls)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
hAPP_int_int(plus_plus_int(pls),pls) = pls,
inference(resolve,[$cnf( $equal(bit0(pls),pls) )],[refute_0_169,refute_0_175]) ).
cnf(refute_0_177,plain,
hAPP_int_int(times_times_int(A_90),zero_zero_int) = zero_zero_int,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_178,plain,
hAPP_int_int(times_times_int(A_90),zero_zero_int) = hAPP_int_int(times_times_int(A_90),zero_zero_int),
introduced(tautology,[refl,[$fot(hAPP_int_int(times_times_int(A_90),zero_zero_int))]]) ).
cnf(refute_0_179,plain,
( hAPP_int_int(times_times_int(A_90),zero_zero_int) != hAPP_int_int(times_times_int(A_90),zero_zero_int)
| zero_zero_int != pls
| hAPP_int_int(times_times_int(A_90),zero_zero_int) = hAPP_int_int(times_times_int(A_90),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(A_90),zero_zero_int),hAPP_int_int(times_times_int(A_90),zero_zero_int)) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_180,plain,
( zero_zero_int != pls
| hAPP_int_int(times_times_int(A_90),zero_zero_int) = hAPP_int_int(times_times_int(A_90),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(A_90),zero_zero_int),hAPP_int_int(times_times_int(A_90),zero_zero_int)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
hAPP_int_int(times_times_int(A_90),zero_zero_int) = hAPP_int_int(times_times_int(A_90),pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_26,refute_0_180]) ).
cnf(refute_0_182,plain,
( hAPP_int_int(times_times_int(A_90),zero_zero_int) != hAPP_int_int(times_times_int(A_90),pls)
| hAPP_int_int(times_times_int(A_90),zero_zero_int) != zero_zero_int
| hAPP_int_int(times_times_int(A_90),pls) = zero_zero_int ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(A_90),zero_zero_int),zero_zero_int) ),[0],$fot(hAPP_int_int(times_times_int(A_90),pls))]]) ).
cnf(refute_0_183,plain,
( hAPP_int_int(times_times_int(A_90),zero_zero_int) != zero_zero_int
| hAPP_int_int(times_times_int(A_90),pls) = zero_zero_int ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(A_90),zero_zero_int),hAPP_int_int(times_times_int(A_90),pls)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
( hAPP_int_int(times_times_int(A_90),pls) != zero_zero_int
| zero_zero_int != pls
| hAPP_int_int(times_times_int(A_90),pls) = pls ),
introduced(tautology,[equality,[$cnf( ~ $equal(hAPP_int_int(times_times_int(A_90),pls),pls) ),[0],$fot(zero_zero_int)]]) ).
cnf(refute_0_185,plain,
( hAPP_int_int(times_times_int(A_90),pls) != zero_zero_int
| hAPP_int_int(times_times_int(A_90),pls) = pls ),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_26,refute_0_184]) ).
cnf(refute_0_186,plain,
( hAPP_int_int(times_times_int(A_90),zero_zero_int) != zero_zero_int
| hAPP_int_int(times_times_int(A_90),pls) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(A_90),pls),zero_zero_int) )],[refute_0_183,refute_0_185]) ).
cnf(refute_0_187,plain,
hAPP_int_int(times_times_int(A_90),pls) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(A_90),zero_zero_int),zero_zero_int) )],[refute_0_177,refute_0_186]) ).
cnf(refute_0_188,plain,
hAPP_int_int(times_times_int(m),pls) = pls,
inference(subst,[],[refute_0_187:[bind(A_90,$fot(m))]]) ).
cnf(refute_0_189,plain,
hAPP_int_int(times_times_int(pls),W) = pls,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_190,plain,
hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))) = pls,
inference(subst,[],[refute_0_189:[bind(W,$fot(number_number_of_int(bit0(bit0(one_one_int)))))]]) ).
cnf(refute_0_191,plain,
hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_192,plain,
( hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls)))))
| number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls)))))) ),[1,1],$fot(number_number_of_int(bit0(bit0(one_one_int))))]]) ).
cnf(refute_0_193,plain,
( number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(one_one_int)))) )],[refute_0_71,refute_0_193]) ).
cnf(refute_0_195,plain,
times_times_int(zero_zero_int) = times_times_int(zero_zero_int),
introduced(tautology,[refl,[$fot(times_times_int(zero_zero_int))]]) ).
cnf(refute_0_196,plain,
( times_times_int(zero_zero_int) != times_times_int(zero_zero_int)
| zero_zero_int != pls
| times_times_int(zero_zero_int) = times_times_int(pls) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(zero_zero_int),times_times_int(zero_zero_int)) ),[1,0],$fot(pls)]]) ).
cnf(refute_0_197,plain,
( zero_zero_int != pls
| times_times_int(zero_zero_int) = times_times_int(pls) ),
inference(resolve,[$cnf( $equal(times_times_int(zero_zero_int),times_times_int(zero_zero_int)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
times_times_int(zero_zero_int) = times_times_int(pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_26,refute_0_197]) ).
cnf(refute_0_199,plain,
hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_200,plain,
( hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))
| times_times_int(zero_zero_int) != times_times_int(pls)
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) ),[1,0],$fot(times_times_int(pls))]]) ).
cnf(refute_0_201,plain,
( times_times_int(zero_zero_int) != times_times_int(pls)
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(times_times_int(zero_zero_int),times_times_int(pls)) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int))))
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls)))))
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))),bind(Y,$fot(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))))),bind(Z0,$fot(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int))))))]]) ).
cnf(refute_0_204,plain,
( hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int))))
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int))))) )],[refute_0_194,refute_0_204]) ).
cnf(refute_0_206,plain,
( hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))) != pls
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) != hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int))))
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = pls ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))),bind(Y,$fot(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_207,plain,
( hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))) != pls
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int))))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(pls),number_number_of_int(bit0(bit0(one_one_int)))),pls) )],[refute_0_190,refute_0_207]) ).
cnf(refute_0_209,plain,
hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_210,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) != pls
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_211,plain,
( hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))) != pls
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) = hAPP_int_int(times_times_int(m),pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))),pls) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) != hAPP_int_int(times_times_int(m),pls)
| hAPP_int_int(times_times_int(m),pls) != pls
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) = pls ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))))),bind(Y,$fot(hAPP_int_int(times_times_int(m),pls))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_214,plain,
( hAPP_int_int(times_times_int(m),pls) != pls
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(m),pls)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),pls),pls) )],[refute_0_188,refute_0_214]) ).
cnf(refute_0_216,plain,
hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(subst,[],[refute_0_91:[bind(Lx_3,$fot(m)),bind(Ly_1,$fot(zero_zero_int)),bind(Rx_3,$fot(number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_217,plain,
hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int)),
inference(subst,[],[refute_0_95:[bind(Lx,$fot(m)),bind(Rx,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Ry,$fot(zero_zero_int))]]) ).
cnf(refute_0_218,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)))),bind(Y,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int)))),bind(Z0,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_219,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),zero_zero_int)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) = hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)),
inference(subst,[],[refute_0_81:[bind(Z1,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Z2,$fot(m)),bind(Z3,$fot(zero_zero_int))]]) ).
cnf(refute_0_222,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) != hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int))
| hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))),bind(Y,$fot(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)))),bind(Z0,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_223,plain,
( hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) = hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),hAPP_int_int(times_times_int(m),zero_zero_int)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) != hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))
| hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) != pls
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) = pls ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))),bind(Y,$fot(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_226,plain,
( hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))) != pls
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(zero_zero_int),number_number_of_int(bit0(bit0(bit1(pls)))))),pls) )],[refute_0_215,refute_0_226]) ).
cnf(refute_0_228,plain,
hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),
introduced(tautology,[refl,[$fot(hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)))]]) ).
cnf(refute_0_229,plain,
( hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))
| hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) != pls
| hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_230,plain,
( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int) != pls
| hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int),pls) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
plus_plus_int(zero_zero_int) = plus_plus_int(zero_zero_int),
introduced(tautology,[refl,[$fot(plus_plus_int(zero_zero_int))]]) ).
cnf(refute_0_233,plain,
( plus_plus_int(zero_zero_int) != plus_plus_int(zero_zero_int)
| zero_zero_int != pls
| plus_plus_int(zero_zero_int) = plus_plus_int(pls) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(zero_zero_int),plus_plus_int(zero_zero_int)) ),[1,0],$fot(pls)]]) ).
cnf(refute_0_234,plain,
( zero_zero_int != pls
| plus_plus_int(zero_zero_int) = plus_plus_int(pls) ),
inference(resolve,[$cnf( $equal(plus_plus_int(zero_zero_int),plus_plus_int(zero_zero_int)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
plus_plus_int(zero_zero_int) = plus_plus_int(pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_26,refute_0_234]) ).
cnf(refute_0_236,plain,
hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),
introduced(tautology,[refl,[$fot(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)))]]) ).
cnf(refute_0_237,plain,
( hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))
| plus_plus_int(zero_zero_int) != plus_plus_int(pls)
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))) ),[1,0],$fot(plus_plus_int(pls))]]) ).
cnf(refute_0_238,plain,
( plus_plus_int(zero_zero_int) != plus_plus_int(pls)
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),
inference(resolve,[$cnf( $equal(plus_plus_int(zero_zero_int),plus_plus_int(pls)) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
( hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != hAPP_int_int(plus_plus_int(pls),pls)
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),pls) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)))),bind(Y,$fot(hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)))),bind(Z0,$fot(hAPP_int_int(plus_plus_int(pls),pls)))]]) ).
cnf(refute_0_241,plain,
( hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != hAPP_int_int(plus_plus_int(pls),pls)
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = hAPP_int_int(plus_plus_int(pls),pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),hAPP_int_int(plus_plus_int(pls),pls)) )],[refute_0_231,refute_0_241]) ).
cnf(refute_0_243,plain,
( hAPP_int_int(plus_plus_int(pls),pls) != pls
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != hAPP_int_int(plus_plus_int(pls),pls)
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = pls ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)))),bind(Y,$fot(hAPP_int_int(plus_plus_int(pls),pls))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_244,plain,
( hAPP_int_int(plus_plus_int(pls),pls) != pls
| hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),hAPP_int_int(plus_plus_int(pls),pls)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(pls),pls),pls) )],[refute_0_176,refute_0_244]) ).
cnf(refute_0_246,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int) = hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),
inference(subst,[],[refute_0_113:[bind(A_81,$fot(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m))),bind(M_10,$fot(zero_zero_int))]]) ).
cnf(refute_0_247,plain,
( hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != pls
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int) != hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))
| hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int) = pls ),
inference(subst,[],[refute_0_16:[bind(X,$fot(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)),zero_zero_int))),bind(Y,$fot(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_248,plain,
( hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)) != pls
| 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)),zero_zero_int) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int),hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(plus_plus_int(zero_zero_int),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),zero_zero_int)),pls) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)) = cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),
introduced(tautology,[refl,[$fot(cOMBC_int_int_bool(ord_less_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)),zero_zero_int)))]]) ).
cnf(refute_0_251,plain,
( cOMBC_int_int_bool(ord_less_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)),zero_zero_int)) != cOMBC_int_int_bool(ord_less_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)),zero_zero_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)),zero_zero_int) != pls
| cOMBC_int_int_bool(ord_less_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)),zero_zero_int)) = cOMBC_int_int_bool(ord_less_int,pls) ),
introduced(tautology,[equality,[$cnf( $equal(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_252,plain,
( 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)),zero_zero_int) != pls
| cOMBC_int_int_bool(ord_less_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)),zero_zero_int)) = cOMBC_int_int_bool(ord_less_int,pls) ),
inference(resolve,[$cnf( $equal(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)) = cOMBC_int_int_bool(ord_less_int,pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int),pls) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),
introduced(tautology,[refl,[$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)))]]) ).
cnf(refute_0_255,plain,
( cOMBC_int_int_bool(ord_less_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)),zero_zero_int)) != cOMBC_int_int_bool(ord_less_int,pls)
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))) ),[1,0],$fot(cOMBC_int_int_bool(ord_less_int,pls))]]) ).
cnf(refute_0_256,plain,
( cOMBC_int_int_bool(ord_less_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)),zero_zero_int)) != cOMBC_int_int_bool(ord_less_int,pls)
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),
inference(resolve,[$cnf( $equal(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),cOMBC_int_int_bool(ord_less_int,pls)) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)))),bind(Y,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)))),bind(Z0,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))))]]) ).
cnf(refute_0_259,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),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)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) )],[refute_0_168,refute_0_259]) ).
cnf(refute_0_261,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),
inference(subst,[],[refute_0_156:[bind(P,$fot(ord_less_int)),bind(Q,$fot(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),bind(R,$fot(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)))]]) ).
cnf(refute_0_262,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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)),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)),zero_zero_int)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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)),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)),zero_zero_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)))),bind(Y,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_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)),zero_zero_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)))),bind(Z0,$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))))]]) ).
cnf(refute_0_263,plain,
( hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)) != hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)))
| hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) ),
introduced(tautology,[equality,[$cnf( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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)),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)),zero_zero_int))) ),[0],$fot(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int))))]]) ).
cnf(refute_0_266,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)))
| hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))),
inference(resolve,[$cnf( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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)),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)),zero_zero_int))) )],[refute_0_164,refute_0_266]) ).
cnf(refute_0_268,plain,
$false,
inference(resolve,[$cnf( hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)))) )],[refute_0_267,refute_0_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM924+3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 22:26:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.98/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.98/2.16
% 1.98/2.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.98/2.21
%------------------------------------------------------------------------------