TSTP Solution File: NUM926+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM926+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:28:16 EDT 2024
% Result : Theorem 37.56s 37.73s
% Output : Proof 37.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM926+1 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 19:39:03 EDT 2024
% 0.13/0.33 % CPUTime :
% 37.56/37.73 % SZS status Theorem for theBenchmark
% 37.56/37.73 % SZS output start Proof for theBenchmark
% 37.56/37.73
% 37.56/37.73 % Formula: fact_0_tpos ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_0_tpos-1, axiom, ( ord_less_eq_int(one_one_int, t) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06-1, axiom, ( ( t != one_one_int) | ( plus_plus_int(power_power_int(skolem1, number_number_of_nat(bit0(bit1(pls)))), power_power_int(skolem2, number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06-1, axiom, ( ~ord_less_int(one_one_int, t) | ( plus_plus_int(power_power_int(skolem3, number_number_of_nat(bit0(bit1(pls)))), power_power_int(skolem4, number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_3_t__l__p ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_3_t__l__p-1, axiom, ( ord_less_int(t, plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_4_p ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_4_p-1, axiom, ( zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_5_t ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_5_t-1, axiom, ( ( plus_plus_int(power_power_int(s, number_number_of_nat(bit0(bit1(pls)))), one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int), t)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_6_qf1pt ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_6_qf1pt-1, axiom, ( twoSqu526106917sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int), t)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_7_zadd__power2 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_7_zadd__power2-1, axiom, ( ( power_power_int(plus_plus_int(_u5, _u4), number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(_u5, number_number_of_nat(bit0(bit1(pls)))), times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))), _u5), _u4)), power_power_int(_u4, number_number_of_nat(bit0(bit1(pls)))))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_8_zadd__power3 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_8_zadd__power3-1, axiom, ( ( power_power_int(plus_plus_int(_u7, _u6), number_number_of_nat(bit1(bit1(pls)))) = plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(_u7, number_number_of_nat(bit1(bit1(pls)))), times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))), power_power_int(_u7, number_number_of_nat(bit0(bit1(pls))))), _u6)), times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))), _u7), power_power_int(_u6, number_number_of_nat(bit0(bit1(pls)))))), power_power_int(_u6, number_number_of_nat(bit1(bit1(pls)))))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_9_power2__sum ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_9_power2__sum-1, axiom, ( ( power_power_nat(plus_plus_nat(_u9, _u8), number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(plus_plus_nat(power_power_nat(_u9, number_number_of_nat(bit0(bit1(pls)))), power_power_nat(_u8, number_number_of_nat(bit0(bit1(pls))))), times_times_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u9), _u8))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_10_power2__sum ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_10_power2__sum-1, axiom, ( ( power_power_int(plus_plus_int(_u11, _u10), number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(_u11, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_u10, number_number_of_nat(bit0(bit1(pls))))), times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))), _u11), _u10))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_11_power2__eq__square__number__of ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_11_power2__eq__square__number__of-1, axiom, ( ( power_power_int(number_number_of_int(_u12), number_number_of_nat(bit0(bit1(pls)))) = times_times_int(number_number_of_int(_u12), number_number_of_int(_u12))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_12_power2__eq__square__number__of ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_12_power2__eq__square__number__of-1, axiom, ( ( power_power_nat(number_number_of_nat(_u13), number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(number_number_of_nat(_u13), number_number_of_nat(_u13))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_13_cube__square ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_13_cube__square-1, axiom, ( ( times_times_int(_u14, power_power_int(_u14, number_number_of_nat(bit0(bit1(pls))))) = power_power_int(_u14, number_number_of_nat(bit1(bit1(pls))))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_14_one__power2 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_14_one__power2-1, axiom, ( ( power_power_nat(one_one_nat, number_number_of_nat(bit0(bit1(pls)))) = one_one_nat) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_15_one__power2 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_15_one__power2-1, axiom, ( ( power_power_int(one_one_int, number_number_of_nat(bit0(bit1(pls)))) = one_one_int) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ( times_times_int(_u15, _u15) = power_power_int(_u15, number_number_of_nat(bit0(bit1(pls))))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_17_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_17_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ( times_times_nat(_u16, _u16) = power_power_nat(_u16, number_number_of_nat(bit0(bit1(pls))))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_18_power2__eq__square ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_18_power2__eq__square-1, axiom, ( ( power_power_int(_u17, number_number_of_nat(bit0(bit1(pls)))) = times_times_int(_u17, _u17)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_19_power2__eq__square ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_19_power2__eq__square-1, axiom, ( ( power_power_nat(_u18, number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(_u18, _u18)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_20_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_20_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ( power_power_int(_u20, times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u19)) = times_times_int(power_power_int(_u20, _u19), power_power_int(_u20, _u19))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ( power_power_nat(_u22, times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u21)) = times_times_nat(power_power_nat(_u22, _u21), power_power_nat(_u22, _u21))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_22_add__special_I2_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_22_add__special_I2_J-1, axiom, ( ( plus_plus_int(one_one_int, number_number_of_int(_u23)) = number_number_of_int(plus_plus_int(bit1(pls), _u23))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_23_add__special_I3_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_23_add__special_I3_J-1, axiom, ( ( plus_plus_int(number_number_of_int(_u24), one_one_int) = number_number_of_int(plus_plus_int(_u24, bit1(pls)))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_24_one__add__one__is__two ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_24_one__add__one__is__two-1, axiom, ( ( plus_plus_int(one_one_int, one_one_int) = number_number_of_int(bit0(bit1(pls)))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_25__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_ ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_25__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_-1, axiom, ( ( plus_plus_int(power_power_int(s, number_number_of_nat(bit0(bit1(pls)))), one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int), skolem5)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_26_zle__refl ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_26_zle__refl-1, axiom, ( ord_less_eq_int(_u26, _u26) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_27_zle__linear ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_27_zle__linear-1, axiom, ( ord_less_eq_int(_u28, _u27) | ord_less_eq_int(_u27, _u28) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_28_zless__le ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_28_zless__le-1, axiom, ( ~ord_less_int(_u33, _u31) | ord_less_eq_int(_u33, _u31) )).
% 37.56/37.73 cnf(fact_28_zless__le-2, axiom, ( ~ord_less_int(_u33, _u31) | ( _u33 != _u31) )).
% 37.56/37.73 cnf(fact_28_zless__le-3, axiom, ( ~ord_less_eq_int(_u34, _u32) | ( _u34 = _u32) | ord_less_int(_u34, _u32) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_29_zless__linear ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_29_zless__linear-1, axiom, ( ord_less_int(_u36, _u35) | ( _u36 = _u35) | ord_less_int(_u35, _u36) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_30_zle__trans ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_30_zle__trans-1, axiom, ( ~ord_less_eq_int(_u38, _u37) | ~ord_less_eq_int(_u37, _u39) | ord_less_eq_int(_u38, _u39) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_31_zle__antisym ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_31_zle__antisym-1, axiom, ( ~ord_less_eq_int(_u41, _u40) | ~ord_less_eq_int(_u40, _u41) | ( _u41 = _u40) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ( power_power_int(power_power_int(_u44, _u43), _u42) = power_power_int(_u44, times_times_nat(_u43, _u42))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_33_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_33_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ( power_power_nat(power_power_nat(_u47, _u46), _u45) = power_power_nat(_u47, times_times_nat(_u46, _u45))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_34_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_34_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ( power_power_int(_u48, one_one_nat) = _u48) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_35_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_35_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ( power_power_nat(_u49, one_one_nat) = _u49) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_36_zpower__zpower ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_36_zpower__zpower-1, axiom, ( ( power_power_int(power_power_int(_u52, _u51), _u50) = power_power_int(_u52, times_times_nat(_u51, _u50))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_37_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_37_le__number__of__eq__not__less-1, axiom, ( ~ord_less_eq_nat(number_number_of_nat(_u57), number_number_of_nat(_u55)) | ~ord_less_nat(number_number_of_nat(_u55), number_number_of_nat(_u57)) )).
% 37.56/37.73 cnf(fact_37_le__number__of__eq__not__less-2, axiom, ( ord_less_nat(number_number_of_nat(_u56), number_number_of_nat(_u58)) | ord_less_eq_nat(number_number_of_nat(_u58), number_number_of_nat(_u56)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_38_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_38_le__number__of__eq__not__less-1, axiom, ( ~ord_less_eq_int(number_number_of_int(_u63), number_number_of_int(_u61)) | ~ord_less_int(number_number_of_int(_u61), number_number_of_int(_u63)) )).
% 37.56/37.73 cnf(fact_38_le__number__of__eq__not__less-2, axiom, ( ord_less_int(number_number_of_int(_u62), number_number_of_int(_u64)) | ord_less_eq_int(number_number_of_int(_u64), number_number_of_int(_u62)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_39_less__number__of ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_39_less__number__of-1, axiom, ( ~ord_less_int(number_number_of_int(_u69), number_number_of_int(_u67)) | ord_less_int(_u69, _u67) )).
% 37.56/37.73 cnf(fact_39_less__number__of-2, axiom, ( ~ord_less_int(_u70, _u68) | ord_less_int(number_number_of_int(_u70), number_number_of_int(_u68)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_40_le__number__of ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_40_le__number__of-1, axiom, ( ~ord_less_eq_int(number_number_of_int(_u75), number_number_of_int(_u73)) | ord_less_eq_int(_u75, _u73) )).
% 37.56/37.73 cnf(fact_40_le__number__of-2, axiom, ( ~ord_less_eq_int(_u76, _u74) | ord_less_eq_int(number_number_of_int(_u76), number_number_of_int(_u74)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_41_zadd__zless__mono ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_41_zadd__zless__mono-1, axiom, ( ~ord_less_int(_u78, _u77) | ~ord_less_eq_int(_u80, _u79) | ord_less_int(plus_plus_int(_u78, _u80), plus_plus_int(_u77, _u79)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ( times_times_int(power_power_int(_u83, _u82), power_power_int(_u83, _u81)) = power_power_int(_u83, plus_plus_nat(_u82, _u81))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ( times_times_nat(power_power_nat(_u86, _u85), power_power_nat(_u86, _u84)) = power_power_nat(_u86, plus_plus_nat(_u85, _u84))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_44_zpower__zadd__distrib ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_44_zpower__zadd__distrib-1, axiom, ( ( power_power_int(_u89, plus_plus_nat(_u88, _u87)) = times_times_int(power_power_int(_u89, _u88), power_power_int(_u89, _u87))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_45_nat__mult__2 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_45_nat__mult__2-1, axiom, ( ( times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u90) = plus_plus_nat(_u90, _u90)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_46_nat__mult__2__right ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_46_nat__mult__2__right-1, axiom, ( ( times_times_nat(_u91, number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(_u91, _u91)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_47_nat__1__add__1 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_47_nat__1__add__1-1, axiom, ( ( plus_plus_nat(one_one_nat, one_one_nat) = number_number_of_nat(bit0(bit1(pls)))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_48_less__int__code_I16_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_48_less__int__code_I16_J-1, axiom, ( ~ord_less_int(bit1(_u96), bit1(_u94)) | ord_less_int(_u96, _u94) )).
% 37.56/37.73 cnf(fact_48_less__int__code_I16_J-2, axiom, ( ~ord_less_int(_u97, _u95) | ord_less_int(bit1(_u97), bit1(_u95)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_49_rel__simps_I17_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_49_rel__simps_I17_J-1, axiom, ( ~ord_less_int(bit1(_u102), bit1(_u100)) | ord_less_int(_u102, _u100) )).
% 37.56/37.73 cnf(fact_49_rel__simps_I17_J-2, axiom, ( ~ord_less_int(_u103, _u101) | ord_less_int(bit1(_u103), bit1(_u101)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_50_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_50_less__eq__int__code_I16_J-1, axiom, ( ~ord_less_eq_int(bit1(_u108), bit1(_u106)) | ord_less_eq_int(_u108, _u106) )).
% 37.56/37.73 cnf(fact_50_less__eq__int__code_I16_J-2, axiom, ( ~ord_less_eq_int(_u109, _u107) | ord_less_eq_int(bit1(_u109), bit1(_u107)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_51_rel__simps_I34_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_51_rel__simps_I34_J-1, axiom, ( ~ord_less_eq_int(bit1(_u114), bit1(_u112)) | ord_less_eq_int(_u114, _u112) )).
% 37.56/37.73 cnf(fact_51_rel__simps_I34_J-2, axiom, ( ~ord_less_eq_int(_u115, _u113) | ord_less_eq_int(bit1(_u115), bit1(_u113)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_52_rel__simps_I2_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_52_rel__simps_I2_J-1, axiom, ( ~ord_less_int(pls, pls) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_53_less__int__code_I13_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_53_less__int__code_I13_J-1, axiom, ( ~ord_less_int(bit0(_u120), bit0(_u118)) | ord_less_int(_u120, _u118) )).
% 37.56/37.73 cnf(fact_53_less__int__code_I13_J-2, axiom, ( ~ord_less_int(_u121, _u119) | ord_less_int(bit0(_u121), bit0(_u119)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_54_rel__simps_I14_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_54_rel__simps_I14_J-1, axiom, ( ~ord_less_int(bit0(_u126), bit0(_u124)) | ord_less_int(_u126, _u124) )).
% 37.56/37.73 cnf(fact_54_rel__simps_I14_J-2, axiom, ( ~ord_less_int(_u127, _u125) | ord_less_int(bit0(_u127), bit0(_u125)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_55_rel__simps_I19_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_55_rel__simps_I19_J-1, axiom, ( ord_less_eq_int(pls, pls) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_56_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_56_less__eq__int__code_I13_J-1, axiom, ( ~ord_less_eq_int(bit0(_u132), bit0(_u130)) | ord_less_eq_int(_u132, _u130) )).
% 37.56/37.73 cnf(fact_56_less__eq__int__code_I13_J-2, axiom, ( ~ord_less_eq_int(_u133, _u131) | ord_less_eq_int(bit0(_u133), bit0(_u131)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_57_rel__simps_I31_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_57_rel__simps_I31_J-1, axiom, ( ~ord_less_eq_int(bit0(_u138), bit0(_u136)) | ord_less_eq_int(_u138, _u136) )).
% 37.56/37.73 cnf(fact_57_rel__simps_I31_J-2, axiom, ( ~ord_less_eq_int(_u139, _u137) | ord_less_eq_int(bit0(_u139), bit0(_u137)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_58_less__number__of__int__code ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_58_less__number__of__int__code-1, axiom, ( ~ord_less_int(number_number_of_int(_u144), number_number_of_int(_u142)) | ord_less_int(_u144, _u142) )).
% 37.56/37.73 cnf(fact_58_less__number__of__int__code-2, axiom, ( ~ord_less_int(_u145, _u143) | ord_less_int(number_number_of_int(_u145), number_number_of_int(_u143)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_59_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_59_less__eq__number__of__int__code-1, axiom, ( ~ord_less_eq_int(number_number_of_int(_u150), number_number_of_int(_u148)) | ord_less_eq_int(_u150, _u148) )).
% 37.56/37.73 cnf(fact_59_less__eq__number__of__int__code-2, axiom, ( ~ord_less_eq_int(_u151, _u149) | ord_less_eq_int(number_number_of_int(_u151), number_number_of_int(_u149)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_60_zadd__strict__right__mono ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_60_zadd__strict__right__mono-1, axiom, ( ~ord_less_int(_u153, _u152) | ord_less_int(plus_plus_int(_u153, _u154), plus_plus_int(_u152, _u154)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_61_zadd__left__mono ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_61_zadd__left__mono-1, axiom, ( ~ord_less_eq_int(_u156, _u155) | ord_less_eq_int(plus_plus_int(_u157, _u156), plus_plus_int(_u157, _u155)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_62_add__nat__number__of ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_62_add__nat__number__of-1, axiom, ( ~ord_less_int(_u160, pls) | ( plus_plus_nat(number_number_of_nat(_u160), number_number_of_nat(_u162)) = number_number_of_nat(_u162)) )).
% 37.56/37.73 cnf(fact_62_add__nat__number__of-2, axiom, ( ord_less_int(_u161, pls) | ~ord_less_int(_u163, pls) | ( plus_plus_nat(number_number_of_nat(_u161), number_number_of_nat(_u163)) = number_number_of_nat(_u161)) )).
% 37.56/37.73 cnf(fact_62_add__nat__number__of-3, axiom, ( ord_less_int(_u161, pls) | ord_less_int(_u163, pls) | ( plus_plus_nat(number_number_of_nat(_u161), number_number_of_nat(_u163)) = number_number_of_nat(plus_plus_int(_u161, _u163))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_63_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_63_nat__numeral__1__eq__1-1, axiom, ( ( number_number_of_nat(bit1(pls)) = one_one_nat) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_64_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_64_Numeral1__eq1__nat-1, axiom, ( ( one_one_nat = number_number_of_nat(bit1(pls))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_65_rel__simps_I29_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_65_rel__simps_I29_J-1, axiom, ( ~ord_less_eq_int(bit1(_u165), pls) | ord_less_int(_u165, pls) )).
% 37.56/37.73 cnf(fact_65_rel__simps_I29_J-2, axiom, ( ~ord_less_int(_u166, pls) | ord_less_eq_int(bit1(_u166), pls) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_66_rel__simps_I5_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_66_rel__simps_I5_J-1, axiom, ( ~ord_less_int(pls, bit1(_u168)) | ord_less_eq_int(pls, _u168) )).
% 37.56/37.73 cnf(fact_66_rel__simps_I5_J-2, axiom, ( ~ord_less_eq_int(pls, _u169) | ord_less_int(pls, bit1(_u169)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_67_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_67_less__eq__int__code_I15_J-1, axiom, ( ~ord_less_eq_int(bit1(_u174), bit0(_u172)) | ord_less_int(_u174, _u172) )).
% 37.56/37.73 cnf(fact_67_less__eq__int__code_I15_J-2, axiom, ( ~ord_less_int(_u175, _u173) | ord_less_eq_int(bit1(_u175), bit0(_u173)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_68_rel__simps_I33_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_68_rel__simps_I33_J-1, axiom, ( ~ord_less_eq_int(bit1(_u180), bit0(_u178)) | ord_less_int(_u180, _u178) )).
% 37.56/37.73 cnf(fact_68_rel__simps_I33_J-2, axiom, ( ~ord_less_int(_u181, _u179) | ord_less_eq_int(bit1(_u181), bit0(_u179)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_69_less__int__code_I14_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_69_less__int__code_I14_J-1, axiom, ( ~ord_less_int(bit0(_u186), bit1(_u184)) | ord_less_eq_int(_u186, _u184) )).
% 37.56/37.73 cnf(fact_69_less__int__code_I14_J-2, axiom, ( ~ord_less_eq_int(_u187, _u185) | ord_less_int(bit0(_u187), bit1(_u185)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_70_rel__simps_I15_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_70_rel__simps_I15_J-1, axiom, ( ~ord_less_int(bit0(_u192), bit1(_u190)) | ord_less_eq_int(_u192, _u190) )).
% 37.56/37.73 cnf(fact_70_rel__simps_I15_J-2, axiom, ( ~ord_less_eq_int(_u193, _u191) | ord_less_int(bit0(_u193), bit1(_u191)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_71_zless__imp__add1__zle ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_71_zless__imp__add1__zle-1, axiom, ( ~ord_less_int(_u195, _u194) | ord_less_eq_int(plus_plus_int(_u195, one_one_int), _u194) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_72_add1__zle__eq ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_72_add1__zle__eq-1, axiom, ( ~ord_less_eq_int(plus_plus_int(_u200, one_one_int), _u198) | ord_less_int(_u200, _u198) )).
% 37.56/37.73 cnf(fact_72_add1__zle__eq-2, axiom, ( ~ord_less_int(_u201, _u199) | ord_less_eq_int(plus_plus_int(_u201, one_one_int), _u199) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_73_zle__add1__eq__le ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_73_zle__add1__eq__le-1, axiom, ( ~ord_less_int(_u206, plus_plus_int(_u204, one_one_int)) | ord_less_eq_int(_u206, _u204) )).
% 37.56/37.73 cnf(fact_73_zle__add1__eq__le-2, axiom, ( ~ord_less_eq_int(_u207, _u205) | ord_less_int(_u207, plus_plus_int(_u205, one_one_int)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_74_zprime__2 ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_74_zprime__2-1, axiom, ( zprime(number_number_of_int(bit0(bit1(pls)))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_75_is__mult__sum2sq ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_75_is__mult__sum2sq-1, axiom, ( ~twoSqu526106917sum2sq(_u208) | ~twoSqu526106917sum2sq(_u209) | twoSqu526106917sum2sq(times_times_int(_u208, _u209)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_76_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_76_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ( times_times_int(times_times_int(_u213, _u212), times_times_int(_u211, _u210)) = times_times_int(times_times_int(_u213, _u211), times_times_int(_u212, _u210))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_77_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_77_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ( times_times_nat(times_times_nat(_u217, _u216), times_times_nat(_u215, _u214)) = times_times_nat(times_times_nat(_u217, _u215), times_times_nat(_u216, _u214))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_78_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_78_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ( times_times_int(times_times_int(_u221, _u220), times_times_int(_u219, _u218)) = times_times_int(_u219, times_times_int(times_times_int(_u221, _u220), _u218))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_79_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_79_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ( times_times_nat(times_times_nat(_u225, _u224), times_times_nat(_u223, _u222)) = times_times_nat(_u223, times_times_nat(times_times_nat(_u225, _u224), _u222))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_80_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_80_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ( times_times_int(times_times_int(_u229, _u228), times_times_int(_u227, _u226)) = times_times_int(_u229, times_times_int(_u228, times_times_int(_u227, _u226)))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_81_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_81_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ( times_times_nat(times_times_nat(_u233, _u232), times_times_nat(_u231, _u230)) = times_times_nat(_u233, times_times_nat(_u232, times_times_nat(_u231, _u230)))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_82_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_82_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ( times_times_int(times_times_int(_u236, _u235), _u234) = times_times_int(times_times_int(_u236, _u234), _u235)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_83_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_83_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ( times_times_nat(times_times_nat(_u239, _u238), _u237) = times_times_nat(times_times_nat(_u239, _u237), _u238)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_84_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_84_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ( times_times_int(times_times_int(_u242, _u241), _u240) = times_times_int(_u242, times_times_int(_u241, _u240))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_85_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_85_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ( times_times_nat(times_times_nat(_u245, _u244), _u243) = times_times_nat(_u245, times_times_nat(_u244, _u243))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_86_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_86_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ( times_times_int(_u248, times_times_int(_u247, _u246)) = times_times_int(times_times_int(_u248, _u247), _u246)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_87_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_87_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ( times_times_nat(_u251, times_times_nat(_u250, _u249)) = times_times_nat(times_times_nat(_u251, _u250), _u249)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_88_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_88_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ( times_times_int(_u254, times_times_int(_u253, _u252)) = times_times_int(_u253, times_times_int(_u254, _u252))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_89_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_89_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ( times_times_nat(_u257, times_times_nat(_u256, _u255)) = times_times_nat(_u256, times_times_nat(_u257, _u255))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ( times_times_int(_u259, _u258) = times_times_int(_u258, _u259)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ( times_times_nat(_u261, _u260) = times_times_nat(_u260, _u261)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ( plus_plus_int(plus_plus_int(_u265, _u264), plus_plus_int(_u263, _u262)) = plus_plus_int(plus_plus_int(_u265, _u263), plus_plus_int(_u264, _u262))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ( plus_plus_nat(plus_plus_nat(_u269, _u268), plus_plus_nat(_u267, _u266)) = plus_plus_nat(plus_plus_nat(_u269, _u267), plus_plus_nat(_u268, _u266))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ( plus_plus_int(plus_plus_int(_u272, _u271), _u270) = plus_plus_int(plus_plus_int(_u272, _u270), _u271)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ( plus_plus_nat(plus_plus_nat(_u275, _u274), _u273) = plus_plus_nat(plus_plus_nat(_u275, _u273), _u274)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ( plus_plus_int(plus_plus_int(_u278, _u277), _u276) = plus_plus_int(_u278, plus_plus_int(_u277, _u276))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ( plus_plus_nat(plus_plus_nat(_u281, _u280), _u279) = plus_plus_nat(_u281, plus_plus_nat(_u280, _u279))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ( plus_plus_int(_u284, plus_plus_int(_u283, _u282)) = plus_plus_int(plus_plus_int(_u284, _u283), _u282)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ( plus_plus_nat(_u287, plus_plus_nat(_u286, _u285)) = plus_plus_nat(plus_plus_nat(_u287, _u286), _u285)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ( plus_plus_int(_u290, plus_plus_int(_u289, _u288)) = plus_plus_int(_u289, plus_plus_int(_u290, _u288))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ( plus_plus_nat(_u293, plus_plus_nat(_u292, _u291)) = plus_plus_nat(_u292, plus_plus_nat(_u293, _u291))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ( plus_plus_int(_u295, _u294) = plus_plus_int(_u294, _u295)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ( plus_plus_nat(_u297, _u296) = plus_plus_nat(_u296, _u297)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_104_eq__number__of ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_104_eq__number__of-1, axiom, ( ( number_number_of_int(_u302) != number_number_of_int(_u300)) | ( _u302 = _u300) )).
% 37.56/37.73 cnf(fact_104_eq__number__of-2, axiom, ( ( _u303 != _u301) | ( number_number_of_int(_u303) = number_number_of_int(_u301)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_105_number__of__reorient ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_105_number__of__reorient-1, axiom, ( ( number_number_of_nat(_u308) != _u306) | ( _u306 = number_number_of_nat(_u308)) )).
% 37.56/37.73 cnf(fact_105_number__of__reorient-2, axiom, ( ( _u307 != number_number_of_nat(_u309)) | ( number_number_of_nat(_u309) = _u307) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_106_number__of__reorient ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_106_number__of__reorient-1, axiom, ( ( number_number_of_int(_u314) != _u312) | ( _u312 = number_number_of_int(_u314)) )).
% 37.56/37.73 cnf(fact_106_number__of__reorient-2, axiom, ( ( _u313 != number_number_of_int(_u315)) | ( number_number_of_int(_u315) = _u313) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_107_rel__simps_I51_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_107_rel__simps_I51_J-1, axiom, ( ( bit1(_u320) != bit1(_u318)) | ( _u320 = _u318) )).
% 37.56/37.73 cnf(fact_107_rel__simps_I51_J-2, axiom, ( ( _u321 != _u319) | ( bit1(_u321) = bit1(_u319)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_108_rel__simps_I48_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_108_rel__simps_I48_J-1, axiom, ( ( bit0(_u326) != bit0(_u324)) | ( _u326 = _u324) )).
% 37.56/37.73 cnf(fact_108_rel__simps_I48_J-2, axiom, ( ( _u327 != _u325) | ( bit0(_u327) = bit0(_u325)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_109_zmult__assoc ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_109_zmult__assoc-1, axiom, ( ( times_times_int(times_times_int(_u330, _u329), _u328) = times_times_int(_u330, times_times_int(_u329, _u328))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_110_zmult__commute ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_110_zmult__commute-1, axiom, ( ( times_times_int(_u332, _u331) = times_times_int(_u331, _u332)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_111_number__of__is__id ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_111_number__of__is__id-1, axiom, ( ( number_number_of_int(_u333) = _u333) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_112_zadd__assoc ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_112_zadd__assoc-1, axiom, ( ( plus_plus_int(plus_plus_int(_u336, _u335), _u334) = plus_plus_int(_u336, plus_plus_int(_u335, _u334))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_113_zadd__left__commute ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_113_zadd__left__commute-1, axiom, ( ( plus_plus_int(_u339, plus_plus_int(_u338, _u337)) = plus_plus_int(_u338, plus_plus_int(_u339, _u337))) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_114_zadd__commute ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_114_zadd__commute-1, axiom, ( ( plus_plus_int(_u341, _u340) = plus_plus_int(_u340, _u341)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_115_rel__simps_I12_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_115_rel__simps_I12_J-1, axiom, ( ~ord_less_int(bit1(_u343), pls) | ord_less_int(_u343, pls) )).
% 37.56/37.73 cnf(fact_115_rel__simps_I12_J-2, axiom, ( ~ord_less_int(_u344, pls) | ord_less_int(bit1(_u344), pls) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_116_less__int__code_I15_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_116_less__int__code_I15_J-1, axiom, ( ~ord_less_int(bit1(_u349), bit0(_u347)) | ord_less_int(_u349, _u347) )).
% 37.56/37.73 cnf(fact_116_less__int__code_I15_J-2, axiom, ( ~ord_less_int(_u350, _u348) | ord_less_int(bit1(_u350), bit0(_u348)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_117_rel__simps_I16_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_117_rel__simps_I16_J-1, axiom, ( ~ord_less_int(bit1(_u355), bit0(_u353)) | ord_less_int(_u355, _u353) )).
% 37.56/37.73 cnf(fact_117_rel__simps_I16_J-2, axiom, ( ~ord_less_int(_u356, _u354) | ord_less_int(bit1(_u356), bit0(_u354)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_118_rel__simps_I10_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_118_rel__simps_I10_J-1, axiom, ( ~ord_less_int(bit0(_u358), pls) | ord_less_int(_u358, pls) )).
% 37.56/37.73 cnf(fact_118_rel__simps_I10_J-2, axiom, ( ~ord_less_int(_u359, pls) | ord_less_int(bit0(_u359), pls) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_119_rel__simps_I4_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_119_rel__simps_I4_J-1, axiom, ( ~ord_less_int(pls, bit0(_u361)) | ord_less_int(pls, _u361) )).
% 37.56/37.73 cnf(fact_119_rel__simps_I4_J-2, axiom, ( ~ord_less_int(pls, _u362) | ord_less_int(pls, bit0(_u362)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_120_rel__simps_I22_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_120_rel__simps_I22_J-1, axiom, ( ~ord_less_eq_int(pls, bit1(_u364)) | ord_less_eq_int(pls, _u364) )).
% 37.56/37.73 cnf(fact_120_rel__simps_I22_J-2, axiom, ( ~ord_less_eq_int(pls, _u365) | ord_less_eq_int(pls, bit1(_u365)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_121_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_121_less__eq__int__code_I14_J-1, axiom, ( ~ord_less_eq_int(bit0(_u370), bit1(_u368)) | ord_less_eq_int(_u370, _u368) )).
% 37.56/37.73 cnf(fact_121_less__eq__int__code_I14_J-2, axiom, ( ~ord_less_eq_int(_u371, _u369) | ord_less_eq_int(bit0(_u371), bit1(_u369)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: fact_122_rel__simps_I32_J ( axiom ) converted to clauses:
% 37.56/37.73 cnf(fact_122_rel__simps_I32_J-1, axiom, ( ~ord_less_eq_int(bit0(_u376), bit1(_u374)) | ord_less_eq_int(_u376, _u374) )).
% 37.56/37.73 cnf(fact_122_rel__simps_I32_J-2, axiom, ( ~ord_less_eq_int(_u377, _u375) | ord_less_eq_int(bit0(_u377), bit1(_u375)) )).
% 37.56/37.73
% 37.56/37.73 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 37.56/37.73 cnf(conj_0-1, negated_conjecture, ( ( plus_plus_int(power_power_int(_u379, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_u378, number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73
% 37.56/37.73 % Problem matrix:
% 37.56/37.73 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 37.56/37.73 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 37.56/37.73 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 37.56/37.73 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( bit1(__eqx_0) = bit1(__eqy_0)) )).
% 37.56/37.73 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( bit0(__eqx_0) = bit0(__eqy_0)) )).
% 37.56/37.73 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( number_number_of_nat(__eqx_0) = number_number_of_nat(__eqy_0)) )).
% 37.56/37.73 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( power_power_int(__eqx_0, __eqx_1) = power_power_int(__eqy_0, __eqy_1)) )).
% 37.56/37.73 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( plus_plus_int(__eqx_0, __eqx_1) = plus_plus_int(__eqy_0, __eqy_1)) )).
% 37.56/37.73 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( number_number_of_int(__eqx_0) = number_number_of_int(__eqy_0)) )).
% 37.56/37.73 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( times_times_int(__eqx_0, __eqx_1) = times_times_int(__eqy_0, __eqy_1)) )).
% 37.56/37.73 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( plus_plus_nat(__eqx_0, __eqx_1) = plus_plus_nat(__eqy_0, __eqy_1)) )).
% 37.56/37.73 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( power_power_nat(__eqx_0, __eqx_1) = power_power_nat(__eqy_0, __eqy_1)) )).
% 37.56/37.73 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( times_times_nat(__eqx_0, __eqx_1) = times_times_nat(__eqy_0, __eqy_1)) )).
% 37.56/37.73 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ord_less_eq_int(__eqx_0, __eqx_1) | ord_less_eq_int(__eqy_0, __eqy_1) )).
% 37.56/37.73 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ord_less_int(__eqx_0, __eqx_1) | ord_less_int(__eqy_0, __eqy_1) )).
% 37.56/37.73 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~zprime(__eqx_0) | zprime(__eqy_0) )).
% 37.56/37.73 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~twoSqu526106917sum2sq(__eqx_0) | twoSqu526106917sum2sq(__eqy_0) )).
% 37.56/37.73 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ord_less_eq_nat(__eqx_0, __eqx_1) | ord_less_eq_nat(__eqy_0, __eqy_1) )).
% 37.56/37.73 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~ord_less_nat(__eqx_0, __eqx_1) | ord_less_nat(__eqy_0, __eqy_1) )).
% 37.56/37.73 cnf(matrix-19, plain, ( ord_less_eq_int(one_one_int, t) )).
% 37.56/37.73 cnf(matrix-20, plain, ( ( t != one_one_int) | ( plus_plus_int(power_power_int(skolem1, number_number_of_nat(bit0(bit1(pls)))), power_power_int(skolem2, number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73 cnf(matrix-21, plain, ( ~ord_less_int(one_one_int, t) | ( plus_plus_int(power_power_int(skolem3, number_number_of_nat(bit0(bit1(pls)))), power_power_int(skolem4, number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73 cnf(matrix-22, plain, ( ord_less_int(t, plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73 cnf(matrix-23, plain, ( zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73 cnf(matrix-24, plain, ( ( plus_plus_int(power_power_int(s, number_number_of_nat(bit0(bit1(pls)))), one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int), t)) )).
% 37.56/37.73 cnf(matrix-25, plain, ( twoSqu526106917sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int), t)) )).
% 37.56/37.73 cnf(matrix-26, plain, ( ( power_power_int(plus_plus_int(_u5, _u4), number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(_u5, number_number_of_nat(bit0(bit1(pls)))), times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))), _u5), _u4)), power_power_int(_u4, number_number_of_nat(bit0(bit1(pls)))))) )).
% 37.56/37.73 cnf(matrix-27, plain, ( ( power_power_int(plus_plus_int(_u7, _u6), number_number_of_nat(bit1(bit1(pls)))) = plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(_u7, number_number_of_nat(bit1(bit1(pls)))), times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))), power_power_int(_u7, number_number_of_nat(bit0(bit1(pls))))), _u6)), times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))), _u7), power_power_int(_u6, number_number_of_nat(bit0(bit1(pls)))))), power_power_int(_u6, number_number_of_nat(bit1(bit1(pls)))))) )).
% 37.56/37.73 cnf(matrix-28, plain, ( ( power_power_nat(plus_plus_nat(_u9, _u8), number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(plus_plus_nat(power_power_nat(_u9, number_number_of_nat(bit0(bit1(pls)))), power_power_nat(_u8, number_number_of_nat(bit0(bit1(pls))))), times_times_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u9), _u8))) )).
% 37.56/37.73 cnf(matrix-29, plain, ( ( power_power_int(plus_plus_int(_u11, _u10), number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(power_power_int(_u11, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_u10, number_number_of_nat(bit0(bit1(pls))))), times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))), _u11), _u10))) )).
% 37.56/37.73 cnf(matrix-30, plain, ( ( power_power_int(number_number_of_int(_u12), number_number_of_nat(bit0(bit1(pls)))) = times_times_int(number_number_of_int(_u12), number_number_of_int(_u12))) )).
% 37.56/37.73 cnf(matrix-31, plain, ( ( power_power_nat(number_number_of_nat(_u13), number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(number_number_of_nat(_u13), number_number_of_nat(_u13))) )).
% 37.56/37.73 cnf(matrix-32, plain, ( ( times_times_int(_u14, power_power_int(_u14, number_number_of_nat(bit0(bit1(pls))))) = power_power_int(_u14, number_number_of_nat(bit1(bit1(pls))))) )).
% 37.56/37.73 cnf(matrix-33, plain, ( ( power_power_nat(one_one_nat, number_number_of_nat(bit0(bit1(pls)))) = one_one_nat) )).
% 37.56/37.73 cnf(matrix-34, plain, ( ( power_power_int(one_one_int, number_number_of_nat(bit0(bit1(pls)))) = one_one_int) )).
% 37.56/37.73 cnf(matrix-35, plain, ( ( times_times_int(_u15, _u15) = power_power_int(_u15, number_number_of_nat(bit0(bit1(pls))))) )).
% 37.56/37.73 cnf(matrix-36, plain, ( ( times_times_nat(_u16, _u16) = power_power_nat(_u16, number_number_of_nat(bit0(bit1(pls))))) )).
% 37.56/37.73 cnf(matrix-37, plain, ( ( power_power_int(_u17, number_number_of_nat(bit0(bit1(pls)))) = times_times_int(_u17, _u17)) )).
% 37.56/37.73 cnf(matrix-38, plain, ( ( power_power_nat(_u18, number_number_of_nat(bit0(bit1(pls)))) = times_times_nat(_u18, _u18)) )).
% 37.56/37.73 cnf(matrix-39, plain, ( ( power_power_int(_u20, times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u19)) = times_times_int(power_power_int(_u20, _u19), power_power_int(_u20, _u19))) )).
% 37.56/37.73 cnf(matrix-40, plain, ( ( power_power_nat(_u22, times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u21)) = times_times_nat(power_power_nat(_u22, _u21), power_power_nat(_u22, _u21))) )).
% 37.56/37.73 cnf(matrix-41, plain, ( ( plus_plus_int(one_one_int, number_number_of_int(_u23)) = number_number_of_int(plus_plus_int(bit1(pls), _u23))) )).
% 37.56/37.73 cnf(matrix-42, plain, ( ( plus_plus_int(number_number_of_int(_u24), one_one_int) = number_number_of_int(plus_plus_int(_u24, bit1(pls)))) )).
% 37.56/37.73 cnf(matrix-43, plain, ( ( plus_plus_int(one_one_int, one_one_int) = number_number_of_int(bit0(bit1(pls)))) )).
% 37.56/37.73 cnf(matrix-44, plain, ( ( plus_plus_int(power_power_int(s, number_number_of_nat(bit0(bit1(pls)))), one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int), skolem5)) )).
% 37.56/37.73 cnf(matrix-45, plain, ( ord_less_eq_int(_u26, _u26) )).
% 37.56/37.73 cnf(matrix-46, plain, ( ord_less_eq_int(_u28, _u27) | ord_less_eq_int(_u27, _u28) )).
% 37.56/37.73 cnf(matrix-47, plain, ( ~ord_less_int(_u33, _u31) | ord_less_eq_int(_u33, _u31) )).
% 37.56/37.73 cnf(matrix-48, plain, ( ~ord_less_int(_u33, _u31) | ( _u33 != _u31) )).
% 37.56/37.73 cnf(matrix-49, plain, ( ~ord_less_eq_int(_u34, _u32) | ( _u34 = _u32) | ord_less_int(_u34, _u32) )).
% 37.56/37.73 cnf(matrix-50, plain, ( ord_less_int(_u36, _u35) | ( _u36 = _u35) | ord_less_int(_u35, _u36) )).
% 37.56/37.73 cnf(matrix-51, plain, ( ~ord_less_eq_int(_u38, _u37) | ~ord_less_eq_int(_u37, _u39) | ord_less_eq_int(_u38, _u39) )).
% 37.56/37.73 cnf(matrix-52, plain, ( ~ord_less_eq_int(_u41, _u40) | ~ord_less_eq_int(_u40, _u41) | ( _u41 = _u40) )).
% 37.56/37.73 cnf(matrix-53, plain, ( ( power_power_int(power_power_int(_u44, _u43), _u42) = power_power_int(_u44, times_times_nat(_u43, _u42))) )).
% 37.56/37.73 cnf(matrix-54, plain, ( ( power_power_nat(power_power_nat(_u47, _u46), _u45) = power_power_nat(_u47, times_times_nat(_u46, _u45))) )).
% 37.56/37.73 cnf(matrix-55, plain, ( ( power_power_int(_u48, one_one_nat) = _u48) )).
% 37.56/37.73 cnf(matrix-56, plain, ( ( power_power_nat(_u49, one_one_nat) = _u49) )).
% 37.56/37.73 cnf(matrix-57, plain, ( ( power_power_int(power_power_int(_u52, _u51), _u50) = power_power_int(_u52, times_times_nat(_u51, _u50))) )).
% 37.56/37.73 cnf(matrix-58, plain, ( ~ord_less_eq_nat(number_number_of_nat(_u57), number_number_of_nat(_u55)) | ~ord_less_nat(number_number_of_nat(_u55), number_number_of_nat(_u57)) )).
% 37.56/37.73 cnf(matrix-59, plain, ( ord_less_nat(number_number_of_nat(_u56), number_number_of_nat(_u58)) | ord_less_eq_nat(number_number_of_nat(_u58), number_number_of_nat(_u56)) )).
% 37.56/37.73 cnf(matrix-60, plain, ( ~ord_less_eq_int(number_number_of_int(_u63), number_number_of_int(_u61)) | ~ord_less_int(number_number_of_int(_u61), number_number_of_int(_u63)) )).
% 37.56/37.73 cnf(matrix-61, plain, ( ord_less_int(number_number_of_int(_u62), number_number_of_int(_u64)) | ord_less_eq_int(number_number_of_int(_u64), number_number_of_int(_u62)) )).
% 37.56/37.73 cnf(matrix-62, plain, ( ~ord_less_int(number_number_of_int(_u69), number_number_of_int(_u67)) | ord_less_int(_u69, _u67) )).
% 37.56/37.73 cnf(matrix-63, plain, ( ~ord_less_int(_u70, _u68) | ord_less_int(number_number_of_int(_u70), number_number_of_int(_u68)) )).
% 37.56/37.73 cnf(matrix-64, plain, ( ~ord_less_eq_int(number_number_of_int(_u75), number_number_of_int(_u73)) | ord_less_eq_int(_u75, _u73) )).
% 37.56/37.73 cnf(matrix-65, plain, ( ~ord_less_eq_int(_u76, _u74) | ord_less_eq_int(number_number_of_int(_u76), number_number_of_int(_u74)) )).
% 37.56/37.73 cnf(matrix-66, plain, ( ~ord_less_int(_u78, _u77) | ~ord_less_eq_int(_u80, _u79) | ord_less_int(plus_plus_int(_u78, _u80), plus_plus_int(_u77, _u79)) )).
% 37.56/37.73 cnf(matrix-67, plain, ( ( times_times_int(power_power_int(_u83, _u82), power_power_int(_u83, _u81)) = power_power_int(_u83, plus_plus_nat(_u82, _u81))) )).
% 37.56/37.73 cnf(matrix-68, plain, ( ( times_times_nat(power_power_nat(_u86, _u85), power_power_nat(_u86, _u84)) = power_power_nat(_u86, plus_plus_nat(_u85, _u84))) )).
% 37.56/37.73 cnf(matrix-69, plain, ( ( power_power_int(_u89, plus_plus_nat(_u88, _u87)) = times_times_int(power_power_int(_u89, _u88), power_power_int(_u89, _u87))) )).
% 37.56/37.73 cnf(matrix-70, plain, ( ( times_times_nat(number_number_of_nat(bit0(bit1(pls))), _u90) = plus_plus_nat(_u90, _u90)) )).
% 37.56/37.73 cnf(matrix-71, plain, ( ( times_times_nat(_u91, number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(_u91, _u91)) )).
% 37.56/37.73 cnf(matrix-72, plain, ( ( plus_plus_nat(one_one_nat, one_one_nat) = number_number_of_nat(bit0(bit1(pls)))) )).
% 37.56/37.73 cnf(matrix-73, plain, ( ~ord_less_int(bit1(_u96), bit1(_u94)) | ord_less_int(_u96, _u94) )).
% 37.56/37.73 cnf(matrix-74, plain, ( ~ord_less_int(_u97, _u95) | ord_less_int(bit1(_u97), bit1(_u95)) )).
% 37.56/37.73 cnf(matrix-75, plain, ( ~ord_less_int(bit1(_u102), bit1(_u100)) | ord_less_int(_u102, _u100) )).
% 37.56/37.73 cnf(matrix-76, plain, ( ~ord_less_int(_u103, _u101) | ord_less_int(bit1(_u103), bit1(_u101)) )).
% 37.56/37.73 cnf(matrix-77, plain, ( ~ord_less_eq_int(bit1(_u108), bit1(_u106)) | ord_less_eq_int(_u108, _u106) )).
% 37.56/37.73 cnf(matrix-78, plain, ( ~ord_less_eq_int(_u109, _u107) | ord_less_eq_int(bit1(_u109), bit1(_u107)) )).
% 37.56/37.73 cnf(matrix-79, plain, ( ~ord_less_eq_int(bit1(_u114), bit1(_u112)) | ord_less_eq_int(_u114, _u112) )).
% 37.56/37.73 cnf(matrix-80, plain, ( ~ord_less_eq_int(_u115, _u113) | ord_less_eq_int(bit1(_u115), bit1(_u113)) )).
% 37.56/37.73 cnf(matrix-81, plain, ( ~ord_less_int(pls, pls) )).
% 37.56/37.73 cnf(matrix-82, plain, ( ~ord_less_int(bit0(_u120), bit0(_u118)) | ord_less_int(_u120, _u118) )).
% 37.56/37.73 cnf(matrix-83, plain, ( ~ord_less_int(_u121, _u119) | ord_less_int(bit0(_u121), bit0(_u119)) )).
% 37.56/37.73 cnf(matrix-84, plain, ( ~ord_less_int(bit0(_u126), bit0(_u124)) | ord_less_int(_u126, _u124) )).
% 37.56/37.73 cnf(matrix-85, plain, ( ~ord_less_int(_u127, _u125) | ord_less_int(bit0(_u127), bit0(_u125)) )).
% 37.56/37.73 cnf(matrix-86, plain, ( ord_less_eq_int(pls, pls) )).
% 37.56/37.73 cnf(matrix-87, plain, ( ~ord_less_eq_int(bit0(_u132), bit0(_u130)) | ord_less_eq_int(_u132, _u130) )).
% 37.56/37.73 cnf(matrix-88, plain, ( ~ord_less_eq_int(_u133, _u131) | ord_less_eq_int(bit0(_u133), bit0(_u131)) )).
% 37.56/37.73 cnf(matrix-89, plain, ( ~ord_less_eq_int(bit0(_u138), bit0(_u136)) | ord_less_eq_int(_u138, _u136) )).
% 37.56/37.73 cnf(matrix-90, plain, ( ~ord_less_eq_int(_u139, _u137) | ord_less_eq_int(bit0(_u139), bit0(_u137)) )).
% 37.56/37.73 cnf(matrix-91, plain, ( ~ord_less_int(number_number_of_int(_u144), number_number_of_int(_u142)) | ord_less_int(_u144, _u142) )).
% 37.56/37.73 cnf(matrix-92, plain, ( ~ord_less_int(_u145, _u143) | ord_less_int(number_number_of_int(_u145), number_number_of_int(_u143)) )).
% 37.56/37.73 cnf(matrix-93, plain, ( ~ord_less_eq_int(number_number_of_int(_u150), number_number_of_int(_u148)) | ord_less_eq_int(_u150, _u148) )).
% 37.56/37.73 cnf(matrix-94, plain, ( ~ord_less_eq_int(_u151, _u149) | ord_less_eq_int(number_number_of_int(_u151), number_number_of_int(_u149)) )).
% 37.56/37.73 cnf(matrix-95, plain, ( ~ord_less_int(_u153, _u152) | ord_less_int(plus_plus_int(_u153, _u154), plus_plus_int(_u152, _u154)) )).
% 37.56/37.73 cnf(matrix-96, plain, ( ~ord_less_eq_int(_u156, _u155) | ord_less_eq_int(plus_plus_int(_u157, _u156), plus_plus_int(_u157, _u155)) )).
% 37.56/37.73 cnf(matrix-97, plain, ( ~ord_less_int(_u160, pls) | ( plus_plus_nat(number_number_of_nat(_u160), number_number_of_nat(_u162)) = number_number_of_nat(_u162)) )).
% 37.56/37.73 cnf(matrix-98, plain, ( ord_less_int(_u161, pls) | ~ord_less_int(_u163, pls) | ( plus_plus_nat(number_number_of_nat(_u161), number_number_of_nat(_u163)) = number_number_of_nat(_u161)) )).
% 37.56/37.73 cnf(matrix-99, plain, ( ord_less_int(_u161, pls) | ord_less_int(_u163, pls) | ( plus_plus_nat(number_number_of_nat(_u161), number_number_of_nat(_u163)) = number_number_of_nat(plus_plus_int(_u161, _u163))) )).
% 37.56/37.73 cnf(matrix-100, plain, ( ( number_number_of_nat(bit1(pls)) = one_one_nat) )).
% 37.56/37.73 cnf(matrix-101, plain, ( ( one_one_nat = number_number_of_nat(bit1(pls))) )).
% 37.56/37.73 cnf(matrix-102, plain, ( ~ord_less_eq_int(bit1(_u165), pls) | ord_less_int(_u165, pls) )).
% 37.56/37.73 cnf(matrix-103, plain, ( ~ord_less_int(_u166, pls) | ord_less_eq_int(bit1(_u166), pls) )).
% 37.56/37.73 cnf(matrix-104, plain, ( ~ord_less_int(pls, bit1(_u168)) | ord_less_eq_int(pls, _u168) )).
% 37.56/37.73 cnf(matrix-105, plain, ( ~ord_less_eq_int(pls, _u169) | ord_less_int(pls, bit1(_u169)) )).
% 37.56/37.73 cnf(matrix-106, plain, ( ~ord_less_eq_int(bit1(_u174), bit0(_u172)) | ord_less_int(_u174, _u172) )).
% 37.56/37.73 cnf(matrix-107, plain, ( ~ord_less_int(_u175, _u173) | ord_less_eq_int(bit1(_u175), bit0(_u173)) )).
% 37.56/37.73 cnf(matrix-108, plain, ( ~ord_less_eq_int(bit1(_u180), bit0(_u178)) | ord_less_int(_u180, _u178) )).
% 37.56/37.73 cnf(matrix-109, plain, ( ~ord_less_int(_u181, _u179) | ord_less_eq_int(bit1(_u181), bit0(_u179)) )).
% 37.56/37.73 cnf(matrix-110, plain, ( ~ord_less_int(bit0(_u186), bit1(_u184)) | ord_less_eq_int(_u186, _u184) )).
% 37.56/37.73 cnf(matrix-111, plain, ( ~ord_less_eq_int(_u187, _u185) | ord_less_int(bit0(_u187), bit1(_u185)) )).
% 37.56/37.73 cnf(matrix-112, plain, ( ~ord_less_int(bit0(_u192), bit1(_u190)) | ord_less_eq_int(_u192, _u190) )).
% 37.56/37.73 cnf(matrix-113, plain, ( ~ord_less_eq_int(_u193, _u191) | ord_less_int(bit0(_u193), bit1(_u191)) )).
% 37.56/37.73 cnf(matrix-114, plain, ( ~ord_less_int(_u195, _u194) | ord_less_eq_int(plus_plus_int(_u195, one_one_int), _u194) )).
% 37.56/37.73 cnf(matrix-115, plain, ( ~ord_less_eq_int(plus_plus_int(_u200, one_one_int), _u198) | ord_less_int(_u200, _u198) )).
% 37.56/37.73 cnf(matrix-116, plain, ( ~ord_less_int(_u201, _u199) | ord_less_eq_int(plus_plus_int(_u201, one_one_int), _u199) )).
% 37.56/37.73 cnf(matrix-117, plain, ( ~ord_less_int(_u206, plus_plus_int(_u204, one_one_int)) | ord_less_eq_int(_u206, _u204) )).
% 37.56/37.73 cnf(matrix-118, plain, ( ~ord_less_eq_int(_u207, _u205) | ord_less_int(_u207, plus_plus_int(_u205, one_one_int)) )).
% 37.56/37.73 cnf(matrix-119, plain, ( zprime(number_number_of_int(bit0(bit1(pls)))) )).
% 37.56/37.73 cnf(matrix-120, plain, ( ~twoSqu526106917sum2sq(_u208) | ~twoSqu526106917sum2sq(_u209) | twoSqu526106917sum2sq(times_times_int(_u208, _u209)) )).
% 37.56/37.73 cnf(matrix-121, plain, ( ( times_times_int(times_times_int(_u213, _u212), times_times_int(_u211, _u210)) = times_times_int(times_times_int(_u213, _u211), times_times_int(_u212, _u210))) )).
% 37.56/37.73 cnf(matrix-122, plain, ( ( times_times_nat(times_times_nat(_u217, _u216), times_times_nat(_u215, _u214)) = times_times_nat(times_times_nat(_u217, _u215), times_times_nat(_u216, _u214))) )).
% 37.56/37.73 cnf(matrix-123, plain, ( ( times_times_int(times_times_int(_u221, _u220), times_times_int(_u219, _u218)) = times_times_int(_u219, times_times_int(times_times_int(_u221, _u220), _u218))) )).
% 37.56/37.73 cnf(matrix-124, plain, ( ( times_times_nat(times_times_nat(_u225, _u224), times_times_nat(_u223, _u222)) = times_times_nat(_u223, times_times_nat(times_times_nat(_u225, _u224), _u222))) )).
% 37.56/37.73 cnf(matrix-125, plain, ( ( times_times_int(times_times_int(_u229, _u228), times_times_int(_u227, _u226)) = times_times_int(_u229, times_times_int(_u228, times_times_int(_u227, _u226)))) )).
% 37.56/37.73 cnf(matrix-126, plain, ( ( times_times_nat(times_times_nat(_u233, _u232), times_times_nat(_u231, _u230)) = times_times_nat(_u233, times_times_nat(_u232, times_times_nat(_u231, _u230)))) )).
% 37.56/37.73 cnf(matrix-127, plain, ( ( times_times_int(times_times_int(_u236, _u235), _u234) = times_times_int(times_times_int(_u236, _u234), _u235)) )).
% 37.56/37.73 cnf(matrix-128, plain, ( ( times_times_nat(times_times_nat(_u239, _u238), _u237) = times_times_nat(times_times_nat(_u239, _u237), _u238)) )).
% 37.56/37.73 cnf(matrix-129, plain, ( ( times_times_int(times_times_int(_u242, _u241), _u240) = times_times_int(_u242, times_times_int(_u241, _u240))) )).
% 37.56/37.73 cnf(matrix-130, plain, ( ( times_times_nat(times_times_nat(_u245, _u244), _u243) = times_times_nat(_u245, times_times_nat(_u244, _u243))) )).
% 37.56/37.73 cnf(matrix-131, plain, ( ( times_times_int(_u248, times_times_int(_u247, _u246)) = times_times_int(times_times_int(_u248, _u247), _u246)) )).
% 37.56/37.73 cnf(matrix-132, plain, ( ( times_times_nat(_u251, times_times_nat(_u250, _u249)) = times_times_nat(times_times_nat(_u251, _u250), _u249)) )).
% 37.56/37.73 cnf(matrix-133, plain, ( ( times_times_int(_u254, times_times_int(_u253, _u252)) = times_times_int(_u253, times_times_int(_u254, _u252))) )).
% 37.56/37.73 cnf(matrix-134, plain, ( ( times_times_nat(_u257, times_times_nat(_u256, _u255)) = times_times_nat(_u256, times_times_nat(_u257, _u255))) )).
% 37.56/37.73 cnf(matrix-135, plain, ( ( times_times_int(_u259, _u258) = times_times_int(_u258, _u259)) )).
% 37.56/37.73 cnf(matrix-136, plain, ( ( times_times_nat(_u261, _u260) = times_times_nat(_u260, _u261)) )).
% 37.56/37.73 cnf(matrix-137, plain, ( ( plus_plus_int(plus_plus_int(_u265, _u264), plus_plus_int(_u263, _u262)) = plus_plus_int(plus_plus_int(_u265, _u263), plus_plus_int(_u264, _u262))) )).
% 37.56/37.73 cnf(matrix-138, plain, ( ( plus_plus_nat(plus_plus_nat(_u269, _u268), plus_plus_nat(_u267, _u266)) = plus_plus_nat(plus_plus_nat(_u269, _u267), plus_plus_nat(_u268, _u266))) )).
% 37.56/37.73 cnf(matrix-139, plain, ( ( plus_plus_int(plus_plus_int(_u272, _u271), _u270) = plus_plus_int(plus_plus_int(_u272, _u270), _u271)) )).
% 37.56/37.73 cnf(matrix-140, plain, ( ( plus_plus_nat(plus_plus_nat(_u275, _u274), _u273) = plus_plus_nat(plus_plus_nat(_u275, _u273), _u274)) )).
% 37.56/37.73 cnf(matrix-141, plain, ( ( plus_plus_int(plus_plus_int(_u278, _u277), _u276) = plus_plus_int(_u278, plus_plus_int(_u277, _u276))) )).
% 37.56/37.73 cnf(matrix-142, plain, ( ( plus_plus_nat(plus_plus_nat(_u281, _u280), _u279) = plus_plus_nat(_u281, plus_plus_nat(_u280, _u279))) )).
% 37.56/37.73 cnf(matrix-143, plain, ( ( plus_plus_int(_u284, plus_plus_int(_u283, _u282)) = plus_plus_int(plus_plus_int(_u284, _u283), _u282)) )).
% 37.56/37.73 cnf(matrix-144, plain, ( ( plus_plus_nat(_u287, plus_plus_nat(_u286, _u285)) = plus_plus_nat(plus_plus_nat(_u287, _u286), _u285)) )).
% 37.56/37.73 cnf(matrix-145, plain, ( ( plus_plus_int(_u290, plus_plus_int(_u289, _u288)) = plus_plus_int(_u289, plus_plus_int(_u290, _u288))) )).
% 37.56/37.73 cnf(matrix-146, plain, ( ( plus_plus_nat(_u293, plus_plus_nat(_u292, _u291)) = plus_plus_nat(_u292, plus_plus_nat(_u293, _u291))) )).
% 37.56/37.73 cnf(matrix-147, plain, ( ( plus_plus_int(_u295, _u294) = plus_plus_int(_u294, _u295)) )).
% 37.56/37.73 cnf(matrix-148, plain, ( ( plus_plus_nat(_u297, _u296) = plus_plus_nat(_u296, _u297)) )).
% 37.56/37.73 cnf(matrix-149, plain, ( ( number_number_of_int(_u302) != number_number_of_int(_u300)) | ( _u302 = _u300) )).
% 37.56/37.73 cnf(matrix-150, plain, ( ( _u303 != _u301) | ( number_number_of_int(_u303) = number_number_of_int(_u301)) )).
% 37.56/37.73 cnf(matrix-151, plain, ( ( number_number_of_nat(_u308) != _u306) | ( _u306 = number_number_of_nat(_u308)) )).
% 37.56/37.73 cnf(matrix-152, plain, ( ( _u307 != number_number_of_nat(_u309)) | ( number_number_of_nat(_u309) = _u307) )).
% 37.56/37.73 cnf(matrix-153, plain, ( ( number_number_of_int(_u314) != _u312) | ( _u312 = number_number_of_int(_u314)) )).
% 37.56/37.73 cnf(matrix-154, plain, ( ( _u313 != number_number_of_int(_u315)) | ( number_number_of_int(_u315) = _u313) )).
% 37.56/37.73 cnf(matrix-155, plain, ( ( bit1(_u320) != bit1(_u318)) | ( _u320 = _u318) )).
% 37.56/37.73 cnf(matrix-156, plain, ( ( _u321 != _u319) | ( bit1(_u321) = bit1(_u319)) )).
% 37.56/37.73 cnf(matrix-157, plain, ( ( bit0(_u326) != bit0(_u324)) | ( _u326 = _u324) )).
% 37.56/37.73 cnf(matrix-158, plain, ( ( _u327 != _u325) | ( bit0(_u327) = bit0(_u325)) )).
% 37.56/37.73 cnf(matrix-159, plain, ( ( times_times_int(times_times_int(_u330, _u329), _u328) = times_times_int(_u330, times_times_int(_u329, _u328))) )).
% 37.56/37.73 cnf(matrix-160, plain, ( ( times_times_int(_u332, _u331) = times_times_int(_u331, _u332)) )).
% 37.56/37.73 cnf(matrix-161, plain, ( ( number_number_of_int(_u333) = _u333) )).
% 37.56/37.73 cnf(matrix-162, plain, ( ( plus_plus_int(plus_plus_int(_u336, _u335), _u334) = plus_plus_int(_u336, plus_plus_int(_u335, _u334))) )).
% 37.56/37.73 cnf(matrix-163, plain, ( ( plus_plus_int(_u339, plus_plus_int(_u338, _u337)) = plus_plus_int(_u338, plus_plus_int(_u339, _u337))) )).
% 37.56/37.73 cnf(matrix-164, plain, ( ( plus_plus_int(_u341, _u340) = plus_plus_int(_u340, _u341)) )).
% 37.56/37.73 cnf(matrix-165, plain, ( ~ord_less_int(bit1(_u343), pls) | ord_less_int(_u343, pls) )).
% 37.56/37.73 cnf(matrix-166, plain, ( ~ord_less_int(_u344, pls) | ord_less_int(bit1(_u344), pls) )).
% 37.56/37.73 cnf(matrix-167, plain, ( ~ord_less_int(bit1(_u349), bit0(_u347)) | ord_less_int(_u349, _u347) )).
% 37.56/37.73 cnf(matrix-168, plain, ( ~ord_less_int(_u350, _u348) | ord_less_int(bit1(_u350), bit0(_u348)) )).
% 37.56/37.73 cnf(matrix-169, plain, ( ~ord_less_int(bit1(_u355), bit0(_u353)) | ord_less_int(_u355, _u353) )).
% 37.56/37.73 cnf(matrix-170, plain, ( ~ord_less_int(_u356, _u354) | ord_less_int(bit1(_u356), bit0(_u354)) )).
% 37.56/37.73 cnf(matrix-171, plain, ( ~ord_less_int(bit0(_u358), pls) | ord_less_int(_u358, pls) )).
% 37.56/37.73 cnf(matrix-172, plain, ( ~ord_less_int(_u359, pls) | ord_less_int(bit0(_u359), pls) )).
% 37.56/37.73 cnf(matrix-173, plain, ( ~ord_less_int(pls, bit0(_u361)) | ord_less_int(pls, _u361) )).
% 37.56/37.73 cnf(matrix-174, plain, ( ~ord_less_int(pls, _u362) | ord_less_int(pls, bit0(_u362)) )).
% 37.56/37.73 cnf(matrix-175, plain, ( ~ord_less_eq_int(pls, bit1(_u364)) | ord_less_eq_int(pls, _u364) )).
% 37.56/37.73 cnf(matrix-176, plain, ( ~ord_less_eq_int(pls, _u365) | ord_less_eq_int(pls, bit1(_u365)) )).
% 37.56/37.73 cnf(matrix-177, plain, ( ~ord_less_eq_int(bit0(_u370), bit1(_u368)) | ord_less_eq_int(_u370, _u368) )).
% 37.56/37.73 cnf(matrix-178, plain, ( ~ord_less_eq_int(_u371, _u369) | ord_less_eq_int(bit0(_u371), bit1(_u369)) )).
% 37.56/37.73 cnf(matrix-179, plain, ( ~ord_less_eq_int(bit0(_u376), bit1(_u374)) | ord_less_eq_int(_u376, _u374) )).
% 37.56/37.73 cnf(matrix-180, plain, ( ~ord_less_eq_int(_u377, _u375) | ord_less_eq_int(bit0(_u377), bit1(_u375)) )).
% 37.56/37.73 cnf(matrix-181, plain, ( ( plus_plus_int(power_power_int(_u379, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_u378, number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), one_one_int)) )).
% 37.56/37.73
% 37.56/37.73 % Proof stack:
% 37.56/37.73 cnf(proof-stack, plain,
% 37.56/37.73 proof_stack(
% 37.56/37.73 start(181),
% 37.56/37.73 left_branch(0, 21, 1, 2),
% 37.56/37.73 left_branch(0, 50, 2, 3),
% 37.56/37.73 left_branch(0, 66, 0, 4),
% 37.56/37.73 left_branch(0, 48, 0, 5),
% 37.56/37.73 left_branch(0, 164, 0, 6),
% 37.56/37.73 right_branch(6),
% 37.56/37.73 right_branch(5),
% 37.56/37.73 left_branch(0, 19, 0, 6),
% 37.56/37.73 right_branch(6),
% 37.56/37.73 right_branch(4),
% 37.56/37.73 left_branch(0, 20, 0, 5),
% 37.56/37.73 left_branch(0, 181, 0, 6),
% 37.56/37.73 right_branch(6),
% 37.56/37.73 right_branch(5),
% 37.56/37.73 right_branch(3),
% 37.56/37.73 right_branch(2)
% 37.56/37.73 )).
% 37.56/37.73 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------