TSTP Solution File: NUM926+5 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM926+5 : 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 : n004.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 14:28:17 EDT 2024
% Result : Theorem 53.43s 53.64s
% Output : Proof 53.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM926+5 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Mar 20 19:58:54 EDT 2024
% 0.14/0.34 % CPUTime :
% 53.43/53.64 % SZS status Theorem for theBenchmark
% 53.43/53.64 % SZS output start Proof for theBenchmark
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Groups_Oone__class_Oone_res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Groups_Oone__class_Oone_res-1, axiom, ( ~semiring_1(_u0) | ( ti(_u0, one_one(_u0)) = one_one(_u0)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Groups_Oplus__class_Oplus_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Groups_Oplus__class_Oplus_arg1-1, axiom, ( ~comm_semiring_1(_u1) | ( plus_plus(_u1, ti(_u1, _u3), _u2) = plus_plus(_u1, _u3, _u2)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Groups_Oplus__class_Oplus_arg2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Groups_Oplus__class_Oplus_arg2-1, axiom, ( ~comm_semiring_1(_u4) | ( plus_plus(_u4, _u6, ti(_u4, _u5)) = plus_plus(_u4, _u6, _u5)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Groups_Oplus__class_Oplus_res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Groups_Oplus__class_Oplus_res-1, axiom, ( ~comm_semiring_1(_u7) | ( ti(_u7, plus_plus(_u7, _u9, _u8)) = plus_plus(_u7, _u9, _u8)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Groups_Otimes__class_Otimes_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Groups_Otimes__class_Otimes_arg1-1, axiom, ( ~monoid_mult(_u10) | ( times_times(_u10, ti(_u10, _u12), _u11) = times_times(_u10, _u12, _u11)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Groups_Otimes__class_Otimes_arg2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Groups_Otimes__class_Otimes_arg2-1, axiom, ( ~monoid_mult(_u13) | ( times_times(_u13, _u15, ti(_u13, _u14)) = times_times(_u13, _u15, _u14)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Groups_Otimes__class_Otimes_res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Groups_Otimes__class_Otimes_res-1, axiom, ( ~monoid_mult(_u16) | ( ti(_u16, times_times(_u16, _u18, _u17)) = times_times(_u16, _u18, _u17)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_HOL_Oundefined_res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_HOL_Oundefined_res-1, axiom, ( ( ti(_u19, undefined(_u19)) = undefined(_u19)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_IntPrimes_Ozprime_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_IntPrimes_Ozprime_arg1-1, axiom, ( ~zprime(ti(int, _u21)) | zprime(_u21) )).
% 53.43/53.64 cnf(tsy_c_IntPrimes_Ozprime_arg1-2, axiom, ( ~zprime(_u22) | zprime(ti(int, _u22)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Int_OBit0_arg1 ( hypothesis ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Int_OBit0_arg1-1, hypothesis, ( ( bit0(ti(int, _u23)) = bit0(_u23)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Int_OBit0_res ( hypothesis ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Int_OBit0_res-1, hypothesis, ( ( ti(int, bit0(_u24)) = bit0(_u24)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Int_OBit1_arg1 ( hypothesis ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Int_OBit1_arg1-1, hypothesis, ( ( bit1(ti(int, _u25)) = bit1(_u25)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Int_OBit1_res ( hypothesis ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Int_OBit1_res-1, hypothesis, ( ( ti(int, bit1(_u26)) = bit1(_u26)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Int_OPls_res ( hypothesis ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Int_OPls_res-1, hypothesis, ( ( ti(int, pls) = pls) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Int_Onumber__class_Onumber__of_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Int_Onumber__class_Onumber__of_arg1-1, axiom, ( ~number(_u27) | ( number_number_of(_u27, ti(int, _u28)) = number_number_of(_u27, _u28)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Int_Onumber__class_Onumber__of_res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Int_Onumber__class_Onumber__of_res-1, axiom, ( ~number(_u29) | ( ti(_u29, number_number_of(_u29, _u30)) = number_number_of(_u29, _u30)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Orderings_Oord__class_Oless_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless_arg1-1, axiom, ( ~number(_u31) | ~linorder(_u31) | ~ord_less(_u31, ti(_u31, _u33), _u32) | ord_less(_u31, _u33, _u32) )).
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless_arg1-2, axiom, ( ~number(_u31) | ~linorder(_u31) | ~ord_less(_u31, _u33, _u32) | ord_less(_u31, ti(_u31, _u33), _u32) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Orderings_Oord__class_Oless_arg2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless_arg2-1, axiom, ( ~number(_u34) | ~linorder(_u34) | ~ord_less(_u34, _u36, ti(_u34, _u35)) | ord_less(_u34, _u36, _u35) )).
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless_arg2-2, axiom, ( ~number(_u34) | ~linorder(_u34) | ~ord_less(_u34, _u36, _u35) | ord_less(_u34, _u36, ti(_u34, _u35)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Orderings_Oord__class_Oless__eq_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless__eq_arg1-1, axiom, ( ~number(_u37) | ~linorder(_u37) | ~ord_less_eq(_u37, ti(_u37, _u39), _u38) | ord_less_eq(_u37, _u39, _u38) )).
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless__eq_arg1-2, axiom, ( ~number(_u37) | ~linorder(_u37) | ~ord_less_eq(_u37, _u39, _u38) | ord_less_eq(_u37, ti(_u37, _u39), _u38) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Orderings_Oord__class_Oless__eq_arg2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless__eq_arg2-1, axiom, ( ~number(_u40) | ~linorder(_u40) | ~ord_less_eq(_u40, _u42, ti(_u40, _u41)) | ord_less_eq(_u40, _u42, _u41) )).
% 53.43/53.64 cnf(tsy_c_Orderings_Oord__class_Oless__eq_arg2-2, axiom, ( ~number(_u40) | ~linorder(_u40) | ~ord_less_eq(_u40, _u42, _u41) | ord_less_eq(_u40, _u42, ti(_u40, _u41)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Power_Opower__class_Opower_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Power_Opower__class_Opower_arg1-1, axiom, ( ~monoid_mult(_u43) | ( power_power(_u43, ti(_u43, _u45), _u44) = power_power(_u43, _u45, _u44)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Power_Opower__class_Opower_arg2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Power_Opower__class_Opower_arg2-1, axiom, ( ~monoid_mult(_u46) | ( power_power(_u46, _u48, ti(nat, _u47)) = power_power(_u46, _u48, _u47)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_Power_Opower__class_Opower_res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_Power_Opower__class_Opower_res-1, axiom, ( ~monoid_mult(_u49) | ( ti(_u49, power_power(_u49, _u51, _u50)) = power_power(_u49, _u51, _u50)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_c_TwoSquares__Mirabelle__vsgmegnqdl_Ois__sum2sq_arg1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_c_TwoSquares__Mirabelle__vsgmegnqdl_Ois__sum2sq_arg1-1, axiom, ( ~twoSqu33214720sum2sq(ti(int, _u53)) | twoSqu33214720sum2sq(_u53) )).
% 53.43/53.64 cnf(tsy_c_TwoSquares__Mirabelle__vsgmegnqdl_Ois__sum2sq_arg1-2, axiom, ( ~twoSqu33214720sum2sq(_u54) | twoSqu33214720sum2sq(ti(int, _u54)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_v_m_res ( hypothesis ) converted to clauses:
% 53.43/53.64 cnf(tsy_v_m_res-1, hypothesis, ( ( ti(int, m) = m) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_v_s_____res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_v_s_____res-1, axiom, ( ( ti(int, s) = s) )).
% 53.43/53.64
% 53.43/53.64 % Formula: tsy_v_t_____res ( axiom ) converted to clauses:
% 53.43/53.64 cnf(tsy_v_t_____res-1, axiom, ( ( ti(int, t) = t) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_0_tpos ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_0_tpos-1, axiom, ( ord_less_eq(int, one_one(int), t) )).
% 53.43/53.64
% 53.43/53.64 % 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:
% 53.43/53.64 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))) )).
% 53.43/53.64
% 53.43/53.64 % 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:
% 53.43/53.64 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))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_3_t__l__p ( axiom ) converted to clauses:
% 53.43/53.64 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))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_4_p ( axiom ) converted to clauses:
% 53.43/53.64 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))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_5_t ( axiom ) converted to clauses:
% 53.43/53.64 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)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_6_qf1pt ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_6_qf1pt-1, axiom, ( twoSqu33214720sum2sq(times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_7_zadd__power2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_7_zadd__power2-1, axiom, ( ( power_power(int, plus_plus(int, _u60, _u59), number_number_of(nat, bit0(bit1(pls)))) = plus_plus(int, plus_plus(int, power_power(int, _u60, number_number_of(nat, bit0(bit1(pls)))), times_times(int, times_times(int, number_number_of(int, bit0(bit1(pls))), _u60), _u59)), power_power(int, _u59, number_number_of(nat, bit0(bit1(pls)))))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_8_zadd__power3 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_8_zadd__power3-1, axiom, ( ( power_power(int, plus_plus(int, _u62, _u61), number_number_of(nat, bit1(bit1(pls)))) = plus_plus(int, plus_plus(int, plus_plus(int, power_power(int, _u62, number_number_of(nat, bit1(bit1(pls)))), times_times(int, times_times(int, number_number_of(int, bit1(bit1(pls))), power_power(int, _u62, number_number_of(nat, bit0(bit1(pls))))), _u61)), times_times(int, times_times(int, number_number_of(int, bit1(bit1(pls))), _u62), power_power(int, _u61, number_number_of(nat, bit0(bit1(pls)))))), power_power(int, _u61, number_number_of(nat, bit1(bit1(pls)))))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_9_power2__sum ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_9_power2__sum-1, axiom, ( ~number_semiring(_u65) | ( power_power(_u65, plus_plus(_u65, _u64, _u63), number_number_of(nat, bit0(bit1(pls)))) = plus_plus(_u65, plus_plus(_u65, power_power(_u65, _u64, number_number_of(nat, bit0(bit1(pls)))), power_power(_u65, _u63, number_number_of(nat, bit0(bit1(pls))))), times_times(_u65, times_times(_u65, number_number_of(_u65, bit0(bit1(pls))), _u64), _u63))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_10_power2__eq__square__number__of ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_10_power2__eq__square__number__of-1, axiom, ( ~monoid_mult(_u67) | ~number(_u67) | ( power_power(_u67, number_number_of(_u67, _u66), number_number_of(nat, bit0(bit1(pls)))) = times_times(_u67, number_number_of(_u67, _u66), number_number_of(_u67, _u66))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_11_cube__square ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_11_cube__square-1, axiom, ( ( times_times(int, _u68, power_power(int, _u68, number_number_of(nat, bit0(bit1(pls))))) = power_power(int, _u68, number_number_of(nat, bit1(bit1(pls))))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_12_one__power2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_12_one__power2-1, axiom, ( ~semiring_1(_u69) | ( power_power(_u69, one_one(_u69), number_number_of(nat, bit0(bit1(pls)))) = one_one(_u69)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_13_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_13_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~comm_semiring_1(_u71) | ( times_times(_u71, _u70, _u70) = power_power(_u71, _u70, number_number_of(nat, bit0(bit1(pls))))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_14_power2__eq__square ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_14_power2__eq__square-1, axiom, ( ~monoid_mult(_u73) | ( power_power(_u73, _u72, number_number_of(nat, bit0(bit1(pls)))) = times_times(_u73, _u72, _u72)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_15_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_15_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~comm_semiring_1(_u76) | ( power_power(_u76, _u75, times_times(nat, number_number_of(nat, bit0(bit1(pls))), _u74)) = times_times(_u76, power_power(_u76, _u75, _u74), power_power(_u76, _u75, _u74))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_16_add__special_I2_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_16_add__special_I2_J-1, axiom, ( ~number_ring(_u78) | ( plus_plus(_u78, one_one(_u78), number_number_of(_u78, _u77)) = number_number_of(_u78, plus_plus(int, bit1(pls), _u77))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_17_add__special_I3_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_17_add__special_I3_J-1, axiom, ( ~number_ring(_u80) | ( plus_plus(_u80, number_number_of(_u80, _u79), one_one(_u80)) = number_number_of(_u80, plus_plus(int, _u79, bit1(pls)))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_18_one__add__one__is__two ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_18_one__add__one__is__two-1, axiom, ( ~number_ring(_u81) | ( plus_plus(_u81, one_one(_u81), one_one(_u81)) = number_number_of(_u81, bit0(bit1(pls)))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_19__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:
% 53.43/53.64 cnf(fact_19__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)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_20_zle__refl ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_20_zle__refl-1, axiom, ( ord_less_eq(int, _u83, _u83) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_21_zle__linear ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_21_zle__linear-1, axiom, ( ord_less_eq(int, _u85, _u84) | ord_less_eq(int, _u84, _u85) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_22_zless__le ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_22_zless__le-1, axiom, ( ~ord_less(int, _u90, _u88) | ord_less_eq(int, _u90, _u88) )).
% 53.43/53.64 cnf(fact_22_zless__le-2, axiom, ( ~ord_less(int, _u90, _u88) | ( _u90 != _u88) )).
% 53.43/53.64 cnf(fact_22_zless__le-3, axiom, ( ~ord_less_eq(int, _u91, _u89) | ( _u91 = _u89) | ord_less(int, _u91, _u89) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_23_zless__linear ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_23_zless__linear-1, axiom, ( ord_less(int, _u93, _u92) | ( _u93 = _u92) | ord_less(int, _u92, _u93) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_24_zle__trans ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_24_zle__trans-1, axiom, ( ~ord_less_eq(int, _u95, _u94) | ~ord_less_eq(int, _u94, _u96) | ord_less_eq(int, _u95, _u96) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_25_zle__antisym ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_25_zle__antisym-1, axiom, ( ~ord_less_eq(int, _u98, _u97) | ~ord_less_eq(int, _u97, _u98) | ( _u98 = _u97) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~comm_semiring_1(_u102) | ( power_power(_u102, power_power(_u102, _u101, _u100), _u99) = power_power(_u102, _u101, times_times(nat, _u100, _u99))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~comm_semiring_1(_u104) | ( power_power(_u104, _u103, one_one(nat)) = ti(_u104, _u103)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_28_zpower__zpower ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_28_zpower__zpower-1, axiom, ( ( power_power(int, power_power(int, _u107, _u106), _u105) = power_power(int, _u107, times_times(nat, _u106, _u105))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_29_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_29_le__number__of__eq__not__less-1, axiom, ( ~number(_u110) | ~linorder(_u110) | ~ord_less_eq(_u110, number_number_of(_u110, _u113), number_number_of(_u110, _u111)) | ~ord_less(_u110, number_number_of(_u110, _u111), number_number_of(_u110, _u113)) )).
% 53.43/53.64 cnf(fact_29_le__number__of__eq__not__less-2, axiom, ( ~number(_u110) | ~linorder(_u110) | ord_less(_u110, number_number_of(_u110, _u112), number_number_of(_u110, _u114)) | ord_less_eq(_u110, number_number_of(_u110, _u114), number_number_of(_u110, _u112)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_30_less__number__of ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_30_less__number__of-1, axiom, ( ~number_ring(_u117) | ~linordered_idom(_u117) | ~ord_less(_u117, number_number_of(_u117, _u120), number_number_of(_u117, _u118)) | ord_less(int, _u120, _u118) )).
% 53.43/53.64 cnf(fact_30_less__number__of-2, axiom, ( ~number_ring(_u117) | ~linordered_idom(_u117) | ~ord_less(int, _u121, _u119) | ord_less(_u117, number_number_of(_u117, _u121), number_number_of(_u117, _u119)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_31_le__number__of ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_31_le__number__of-1, axiom, ( ~number_ring(_u124) | ~linordered_idom(_u124) | ~ord_less_eq(_u124, number_number_of(_u124, _u127), number_number_of(_u124, _u125)) | ord_less_eq(int, _u127, _u125) )).
% 53.43/53.64 cnf(fact_31_le__number__of-2, axiom, ( ~number_ring(_u124) | ~linordered_idom(_u124) | ~ord_less_eq(int, _u128, _u126) | ord_less_eq(_u124, number_number_of(_u124, _u128), number_number_of(_u124, _u126)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_32_zadd__zless__mono ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_32_zadd__zless__mono-1, axiom, ( ~ord_less(int, _u130, _u129) | ~ord_less_eq(int, _u132, _u131) | ord_less(int, plus_plus(int, _u130, _u132), plus_plus(int, _u129, _u131)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_33_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_33_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~comm_semiring_1(_u136) | ( times_times(_u136, power_power(_u136, _u135, _u134), power_power(_u136, _u135, _u133)) = power_power(_u136, _u135, plus_plus(nat, _u134, _u133))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_34_zpower__zadd__distrib ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_34_zpower__zadd__distrib-1, axiom, ( ( power_power(int, _u139, plus_plus(nat, _u138, _u137)) = times_times(int, power_power(int, _u139, _u138), power_power(int, _u139, _u137))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_35_nat__mult__2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_35_nat__mult__2-1, axiom, ( ( times_times(nat, number_number_of(nat, bit0(bit1(pls))), _u140) = plus_plus(nat, _u140, _u140)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_36_nat__mult__2__right ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_36_nat__mult__2__right-1, axiom, ( ( times_times(nat, _u141, number_number_of(nat, bit0(bit1(pls)))) = plus_plus(nat, _u141, _u141)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_37_nat__1__add__1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_37_nat__1__add__1-1, axiom, ( ( plus_plus(nat, one_one(nat), one_one(nat)) = number_number_of(nat, bit0(bit1(pls)))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_38_less__int__code_I16_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_38_less__int__code_I16_J-1, axiom, ( ~ord_less(int, bit1(_u146), bit1(_u144)) | ord_less(int, _u146, _u144) )).
% 53.43/53.64 cnf(fact_38_less__int__code_I16_J-2, axiom, ( ~ord_less(int, _u147, _u145) | ord_less(int, bit1(_u147), bit1(_u145)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_39_rel__simps_I17_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_39_rel__simps_I17_J-1, axiom, ( ~ord_less(int, bit1(_u152), bit1(_u150)) | ord_less(int, _u152, _u150) )).
% 53.43/53.64 cnf(fact_39_rel__simps_I17_J-2, axiom, ( ~ord_less(int, _u153, _u151) | ord_less(int, bit1(_u153), bit1(_u151)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_40_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_40_less__eq__int__code_I16_J-1, axiom, ( ~ord_less_eq(int, bit1(_u158), bit1(_u156)) | ord_less_eq(int, _u158, _u156) )).
% 53.43/53.64 cnf(fact_40_less__eq__int__code_I16_J-2, axiom, ( ~ord_less_eq(int, _u159, _u157) | ord_less_eq(int, bit1(_u159), bit1(_u157)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_41_rel__simps_I34_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_41_rel__simps_I34_J-1, axiom, ( ~ord_less_eq(int, bit1(_u164), bit1(_u162)) | ord_less_eq(int, _u164, _u162) )).
% 53.43/53.64 cnf(fact_41_rel__simps_I34_J-2, axiom, ( ~ord_less_eq(int, _u165, _u163) | ord_less_eq(int, bit1(_u165), bit1(_u163)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_42_rel__simps_I2_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_42_rel__simps_I2_J-1, axiom, ( ~ord_less(int, pls, pls) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_43_less__int__code_I13_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_43_less__int__code_I13_J-1, axiom, ( ~ord_less(int, bit0(_u170), bit0(_u168)) | ord_less(int, _u170, _u168) )).
% 53.43/53.64 cnf(fact_43_less__int__code_I13_J-2, axiom, ( ~ord_less(int, _u171, _u169) | ord_less(int, bit0(_u171), bit0(_u169)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_44_rel__simps_I14_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_44_rel__simps_I14_J-1, axiom, ( ~ord_less(int, bit0(_u176), bit0(_u174)) | ord_less(int, _u176, _u174) )).
% 53.43/53.64 cnf(fact_44_rel__simps_I14_J-2, axiom, ( ~ord_less(int, _u177, _u175) | ord_less(int, bit0(_u177), bit0(_u175)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_45_rel__simps_I19_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_45_rel__simps_I19_J-1, axiom, ( ord_less_eq(int, pls, pls) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_46_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_46_less__eq__int__code_I13_J-1, axiom, ( ~ord_less_eq(int, bit0(_u182), bit0(_u180)) | ord_less_eq(int, _u182, _u180) )).
% 53.43/53.64 cnf(fact_46_less__eq__int__code_I13_J-2, axiom, ( ~ord_less_eq(int, _u183, _u181) | ord_less_eq(int, bit0(_u183), bit0(_u181)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_47_rel__simps_I31_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_47_rel__simps_I31_J-1, axiom, ( ~ord_less_eq(int, bit0(_u188), bit0(_u186)) | ord_less_eq(int, _u188, _u186) )).
% 53.43/53.64 cnf(fact_47_rel__simps_I31_J-2, axiom, ( ~ord_less_eq(int, _u189, _u187) | ord_less_eq(int, bit0(_u189), bit0(_u187)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_48_less__number__of__int__code ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_48_less__number__of__int__code-1, axiom, ( ~ord_less(int, number_number_of(int, _u194), number_number_of(int, _u192)) | ord_less(int, _u194, _u192) )).
% 53.43/53.64 cnf(fact_48_less__number__of__int__code-2, axiom, ( ~ord_less(int, _u195, _u193) | ord_less(int, number_number_of(int, _u195), number_number_of(int, _u193)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_49_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_49_less__eq__number__of__int__code-1, axiom, ( ~ord_less_eq(int, number_number_of(int, _u200), number_number_of(int, _u198)) | ord_less_eq(int, _u200, _u198) )).
% 53.43/53.64 cnf(fact_49_less__eq__number__of__int__code-2, axiom, ( ~ord_less_eq(int, _u201, _u199) | ord_less_eq(int, number_number_of(int, _u201), number_number_of(int, _u199)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_50_zadd__strict__right__mono ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_50_zadd__strict__right__mono-1, axiom, ( ~ord_less(int, _u203, _u202) | ord_less(int, plus_plus(int, _u203, _u204), plus_plus(int, _u202, _u204)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_51_zadd__left__mono ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_51_zadd__left__mono-1, axiom, ( ~ord_less_eq(int, _u206, _u205) | ord_less_eq(int, plus_plus(int, _u207, _u206), plus_plus(int, _u207, _u205)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_52_add__nat__number__of ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_52_add__nat__number__of-1, axiom, ( ~ord_less(int, _u210, pls) | ( plus_plus(nat, number_number_of(nat, _u210), number_number_of(nat, _u212)) = number_number_of(nat, _u212)) )).
% 53.43/53.64 cnf(fact_52_add__nat__number__of-2, axiom, ( ord_less(int, _u211, pls) | ~ord_less(int, _u213, pls) | ( plus_plus(nat, number_number_of(nat, _u211), number_number_of(nat, _u213)) = number_number_of(nat, _u211)) )).
% 53.43/53.64 cnf(fact_52_add__nat__number__of-3, axiom, ( ord_less(int, _u211, pls) | ord_less(int, _u213, pls) | ( plus_plus(nat, number_number_of(nat, _u211), number_number_of(nat, _u213)) = number_number_of(nat, plus_plus(int, _u211, _u213))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_53_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_53_nat__numeral__1__eq__1-1, axiom, ( ( number_number_of(nat, bit1(pls)) = one_one(nat)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_54_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_54_Numeral1__eq1__nat-1, axiom, ( ( one_one(nat) = number_number_of(nat, bit1(pls))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_55_rel__simps_I29_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_55_rel__simps_I29_J-1, axiom, ( ~ord_less_eq(int, bit1(_u215), pls) | ord_less(int, _u215, pls) )).
% 53.43/53.64 cnf(fact_55_rel__simps_I29_J-2, axiom, ( ~ord_less(int, _u216, pls) | ord_less_eq(int, bit1(_u216), pls) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_56_rel__simps_I5_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_56_rel__simps_I5_J-1, axiom, ( ~ord_less(int, pls, bit1(_u218)) | ord_less_eq(int, pls, _u218) )).
% 53.43/53.64 cnf(fact_56_rel__simps_I5_J-2, axiom, ( ~ord_less_eq(int, pls, _u219) | ord_less(int, pls, bit1(_u219)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_57_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_57_less__eq__int__code_I15_J-1, axiom, ( ~ord_less_eq(int, bit1(_u224), bit0(_u222)) | ord_less(int, _u224, _u222) )).
% 53.43/53.64 cnf(fact_57_less__eq__int__code_I15_J-2, axiom, ( ~ord_less(int, _u225, _u223) | ord_less_eq(int, bit1(_u225), bit0(_u223)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_58_rel__simps_I33_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_58_rel__simps_I33_J-1, axiom, ( ~ord_less_eq(int, bit1(_u230), bit0(_u228)) | ord_less(int, _u230, _u228) )).
% 53.43/53.64 cnf(fact_58_rel__simps_I33_J-2, axiom, ( ~ord_less(int, _u231, _u229) | ord_less_eq(int, bit1(_u231), bit0(_u229)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_59_less__int__code_I14_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_59_less__int__code_I14_J-1, axiom, ( ~ord_less(int, bit0(_u236), bit1(_u234)) | ord_less_eq(int, _u236, _u234) )).
% 53.43/53.64 cnf(fact_59_less__int__code_I14_J-2, axiom, ( ~ord_less_eq(int, _u237, _u235) | ord_less(int, bit0(_u237), bit1(_u235)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_60_rel__simps_I15_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_60_rel__simps_I15_J-1, axiom, ( ~ord_less(int, bit0(_u242), bit1(_u240)) | ord_less_eq(int, _u242, _u240) )).
% 53.43/53.64 cnf(fact_60_rel__simps_I15_J-2, axiom, ( ~ord_less_eq(int, _u243, _u241) | ord_less(int, bit0(_u243), bit1(_u241)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_61_zless__imp__add1__zle ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_61_zless__imp__add1__zle-1, axiom, ( ~ord_less(int, _u245, _u244) | ord_less_eq(int, plus_plus(int, _u245, one_one(int)), _u244) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_62_add1__zle__eq ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_62_add1__zle__eq-1, axiom, ( ~ord_less_eq(int, plus_plus(int, _u250, one_one(int)), _u248) | ord_less(int, _u250, _u248) )).
% 53.43/53.64 cnf(fact_62_add1__zle__eq-2, axiom, ( ~ord_less(int, _u251, _u249) | ord_less_eq(int, plus_plus(int, _u251, one_one(int)), _u249) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_63_zle__add1__eq__le ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_63_zle__add1__eq__le-1, axiom, ( ~ord_less(int, _u256, plus_plus(int, _u254, one_one(int))) | ord_less_eq(int, _u256, _u254) )).
% 53.43/53.64 cnf(fact_63_zle__add1__eq__le-2, axiom, ( ~ord_less_eq(int, _u257, _u255) | ord_less(int, _u257, plus_plus(int, _u255, one_one(int))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_64_zprime__2 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_64_zprime__2-1, axiom, ( zprime(number_number_of(int, bit0(bit1(pls)))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_65_is__mult__sum2sq ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_65_is__mult__sum2sq-1, axiom, ( ~twoSqu33214720sum2sq(_u258) | ~twoSqu33214720sum2sq(_u259) | twoSqu33214720sum2sq(times_times(int, _u258, _u259)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_66_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_66_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~comm_semiring_1(_u264) | ( times_times(_u264, times_times(_u264, _u263, _u262), times_times(_u264, _u261, _u260)) = times_times(_u264, times_times(_u264, _u263, _u261), times_times(_u264, _u262, _u260))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_67_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_67_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~comm_semiring_1(_u269) | ( times_times(_u269, times_times(_u269, _u268, _u267), times_times(_u269, _u266, _u265)) = times_times(_u269, _u266, times_times(_u269, times_times(_u269, _u268, _u267), _u265))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_68_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_68_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~comm_semiring_1(_u274) | ( times_times(_u274, times_times(_u274, _u273, _u272), times_times(_u274, _u271, _u270)) = times_times(_u274, _u273, times_times(_u274, _u272, times_times(_u274, _u271, _u270)))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_69_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_69_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~comm_semiring_1(_u278) | ( times_times(_u278, times_times(_u278, _u277, _u276), _u275) = times_times(_u278, times_times(_u278, _u277, _u275), _u276)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_70_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_70_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~comm_semiring_1(_u282) | ( times_times(_u282, times_times(_u282, _u281, _u280), _u279) = times_times(_u282, _u281, times_times(_u282, _u280, _u279))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_71_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_71_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~comm_semiring_1(_u286) | ( times_times(_u286, _u285, times_times(_u286, _u284, _u283)) = times_times(_u286, times_times(_u286, _u285, _u284), _u283)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_72_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_72_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~comm_semiring_1(_u290) | ( times_times(_u290, _u289, times_times(_u290, _u288, _u287)) = times_times(_u290, _u288, times_times(_u290, _u289, _u287))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_73_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_73_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~comm_semiring_1(_u293) | ( times_times(_u293, _u292, _u291) = times_times(_u293, _u291, _u292)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_74_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_74_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~comm_semiring_1(_u298) | ( plus_plus(_u298, plus_plus(_u298, _u297, _u296), plus_plus(_u298, _u295, _u294)) = plus_plus(_u298, plus_plus(_u298, _u297, _u295), plus_plus(_u298, _u296, _u294))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_75_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_75_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~comm_semiring_1(_u302) | ( plus_plus(_u302, plus_plus(_u302, _u301, _u300), _u299) = plus_plus(_u302, plus_plus(_u302, _u301, _u299), _u300)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_76_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_76_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~comm_semiring_1(_u306) | ( plus_plus(_u306, plus_plus(_u306, _u305, _u304), _u303) = plus_plus(_u306, _u305, plus_plus(_u306, _u304, _u303))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_77_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_77_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~comm_semiring_1(_u310) | ( plus_plus(_u310, _u309, plus_plus(_u310, _u308, _u307)) = plus_plus(_u310, plus_plus(_u310, _u309, _u308), _u307)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_78_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_78_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~comm_semiring_1(_u314) | ( plus_plus(_u314, _u313, plus_plus(_u314, _u312, _u311)) = plus_plus(_u314, _u312, plus_plus(_u314, _u313, _u311))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_79_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_79_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~comm_semiring_1(_u317) | ( plus_plus(_u317, _u316, _u315) = plus_plus(_u317, _u315, _u316)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_80_eq__number__of ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_80_eq__number__of-1, axiom, ( ~number_ring(_u320) | ~ring_char_0(_u320) | ( number_number_of(_u320, _u323) != number_number_of(_u320, _u321)) | ( _u323 = _u321) )).
% 53.43/53.64 cnf(fact_80_eq__number__of-2, axiom, ( ~number_ring(_u320) | ~ring_char_0(_u320) | ( _u324 != _u322) | ( number_number_of(_u320, _u324) = number_number_of(_u320, _u322)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_81_number__of__reorient ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_81_number__of__reorient-1, axiom, ( ~number(_u327) | ( number_number_of(_u327, _u330) != ti(_u327, _u328)) | ( ti(_u327, _u328) = number_number_of(_u327, _u330)) )).
% 53.43/53.64 cnf(fact_81_number__of__reorient-2, axiom, ( ~number(_u327) | ( ti(_u327, _u329) != number_number_of(_u327, _u331)) | ( number_number_of(_u327, _u331) = ti(_u327, _u329)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_82_rel__simps_I51_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_82_rel__simps_I51_J-1, axiom, ( ( bit1(_u336) != bit1(_u334)) | ( _u336 = _u334) )).
% 53.43/53.64 cnf(fact_82_rel__simps_I51_J-2, axiom, ( ( _u337 != _u335) | ( bit1(_u337) = bit1(_u335)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_83_rel__simps_I48_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_83_rel__simps_I48_J-1, axiom, ( ( bit0(_u342) != bit0(_u340)) | ( _u342 = _u340) )).
% 53.43/53.64 cnf(fact_83_rel__simps_I48_J-2, axiom, ( ( _u343 != _u341) | ( bit0(_u343) = bit0(_u341)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_84_zmult__assoc ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_84_zmult__assoc-1, axiom, ( ( times_times(int, times_times(int, _u346, _u345), _u344) = times_times(int, _u346, times_times(int, _u345, _u344))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_85_zmult__commute ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_85_zmult__commute-1, axiom, ( ( times_times(int, _u348, _u347) = times_times(int, _u347, _u348)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_86_number__of__is__id ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_86_number__of__is__id-1, axiom, ( ( number_number_of(int, _u349) = _u349) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_87_zadd__assoc ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_87_zadd__assoc-1, axiom, ( ( plus_plus(int, plus_plus(int, _u352, _u351), _u350) = plus_plus(int, _u352, plus_plus(int, _u351, _u350))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_88_zadd__left__commute ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_88_zadd__left__commute-1, axiom, ( ( plus_plus(int, _u355, plus_plus(int, _u354, _u353)) = plus_plus(int, _u354, plus_plus(int, _u355, _u353))) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_89_zadd__commute ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_89_zadd__commute-1, axiom, ( ( plus_plus(int, _u357, _u356) = plus_plus(int, _u356, _u357)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_90_rel__simps_I12_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_90_rel__simps_I12_J-1, axiom, ( ~ord_less(int, bit1(_u359), pls) | ord_less(int, _u359, pls) )).
% 53.43/53.64 cnf(fact_90_rel__simps_I12_J-2, axiom, ( ~ord_less(int, _u360, pls) | ord_less(int, bit1(_u360), pls) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_91_less__int__code_I15_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_91_less__int__code_I15_J-1, axiom, ( ~ord_less(int, bit1(_u365), bit0(_u363)) | ord_less(int, _u365, _u363) )).
% 53.43/53.64 cnf(fact_91_less__int__code_I15_J-2, axiom, ( ~ord_less(int, _u366, _u364) | ord_less(int, bit1(_u366), bit0(_u364)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_92_rel__simps_I16_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_92_rel__simps_I16_J-1, axiom, ( ~ord_less(int, bit1(_u371), bit0(_u369)) | ord_less(int, _u371, _u369) )).
% 53.43/53.64 cnf(fact_92_rel__simps_I16_J-2, axiom, ( ~ord_less(int, _u372, _u370) | ord_less(int, bit1(_u372), bit0(_u370)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_93_rel__simps_I10_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_93_rel__simps_I10_J-1, axiom, ( ~ord_less(int, bit0(_u374), pls) | ord_less(int, _u374, pls) )).
% 53.43/53.64 cnf(fact_93_rel__simps_I10_J-2, axiom, ( ~ord_less(int, _u375, pls) | ord_less(int, bit0(_u375), pls) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_94_rel__simps_I4_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_94_rel__simps_I4_J-1, axiom, ( ~ord_less(int, pls, bit0(_u377)) | ord_less(int, pls, _u377) )).
% 53.43/53.64 cnf(fact_94_rel__simps_I4_J-2, axiom, ( ~ord_less(int, pls, _u378) | ord_less(int, pls, bit0(_u378)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_95_rel__simps_I22_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_95_rel__simps_I22_J-1, axiom, ( ~ord_less_eq(int, pls, bit1(_u380)) | ord_less_eq(int, pls, _u380) )).
% 53.43/53.64 cnf(fact_95_rel__simps_I22_J-2, axiom, ( ~ord_less_eq(int, pls, _u381) | ord_less_eq(int, pls, bit1(_u381)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_96_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_96_less__eq__int__code_I14_J-1, axiom, ( ~ord_less_eq(int, bit0(_u386), bit1(_u384)) | ord_less_eq(int, _u386, _u384) )).
% 53.43/53.64 cnf(fact_96_less__eq__int__code_I14_J-2, axiom, ( ~ord_less_eq(int, _u387, _u385) | ord_less_eq(int, bit0(_u387), bit1(_u385)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: fact_97_rel__simps_I32_J ( axiom ) converted to clauses:
% 53.43/53.64 cnf(fact_97_rel__simps_I32_J-1, axiom, ( ~ord_less_eq(int, bit0(_u392), bit1(_u390)) | ord_less_eq(int, _u392, _u390) )).
% 53.43/53.64 cnf(fact_97_rel__simps_I32_J-2, axiom, ( ~ord_less_eq(int, _u393, _u391) | ord_less_eq(int, bit0(_u393), bit1(_u391)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Rings_Olinordered__idom ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Rings_Olinordered__idom-1, axiom, ( linordered_idom(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Rings_Ocomm__semiring__1-1, axiom, ( comm_semiring_1(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Int_Onumber__semiring ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Int_Onumber__semiring-1, axiom, ( number_semiring(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Orderings_Olinorder ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Orderings_Olinorder-1, axiom, ( linorder(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Groups_Omonoid__mult ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Groups_Omonoid__mult-1, axiom, ( monoid_mult(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Rings_Osemiring__1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Rings_Osemiring__1-1, axiom, ( semiring_1(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Int_Oring__char__0 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Int_Oring__char__0-1, axiom, ( ring_char_0(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Int_Onumber__ring ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Int_Onumber__ring-1, axiom, ( number_ring(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Int_Oint___Int_Onumber ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Int_Oint___Int_Onumber-1, axiom, ( number(int) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Nat_Onat___Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Nat_Onat___Rings_Ocomm__semiring__1-1, axiom, ( comm_semiring_1(nat) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Nat_Onat___Int_Onumber__semiring ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Nat_Onat___Int_Onumber__semiring-1, axiom, ( number_semiring(nat) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Nat_Onat___Orderings_Olinorder ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Nat_Onat___Orderings_Olinorder-1, axiom, ( linorder(nat) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Nat_Onat___Groups_Omonoid__mult ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Nat_Onat___Groups_Omonoid__mult-1, axiom, ( monoid_mult(nat) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Nat_Onat___Rings_Osemiring__1 ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Nat_Onat___Rings_Osemiring__1-1, axiom, ( semiring_1(nat) )).
% 53.43/53.64
% 53.43/53.64 % Formula: arity_Nat_Onat___Int_Onumber ( axiom ) converted to clauses:
% 53.43/53.64 cnf(arity_Nat_Onat___Int_Onumber-1, axiom, ( number(nat) )).
% 53.43/53.64
% 53.43/53.64 % Formula: help_ti_idem ( axiom ) converted to clauses:
% 53.43/53.64 cnf(help_ti_idem-1, axiom, ( ( ti(_u395, ti(_u395, _u394)) = ti(_u395, _u394)) )).
% 53.43/53.64
% 53.43/53.64 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 53.43/53.64 cnf(conj_0-1, negated_conjecture, ( ( plus_plus(int, power_power(int, _u397, number_number_of(nat, bit0(bit1(pls)))), power_power(int, _u396, 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))) )).
% 53.43/53.64
% 53.43/53.64 % Problem matrix:
% 53.43/53.64 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 53.43/53.64 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 53.43/53.64 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 53.43/53.64 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( one_one(__eqx_0) = one_one(__eqy_0)) )).
% 53.43/53.64 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ti(__eqx_0, __eqx_1) = ti(__eqy_0, __eqy_1)) )).
% 53.43/53.64 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( plus_plus(__eqx_0, __eqx_1, __eqx_2) = plus_plus(__eqy_0, __eqy_1, __eqy_2)) )).
% 53.43/53.64 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( times_times(__eqx_0, __eqx_1, __eqx_2) = times_times(__eqy_0, __eqy_1, __eqy_2)) )).
% 53.43/53.64 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( undefined(__eqx_0) = undefined(__eqy_0)) )).
% 53.43/53.64 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( bit0(__eqx_0) = bit0(__eqy_0)) )).
% 53.43/53.64 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( bit1(__eqx_0) = bit1(__eqy_0)) )).
% 53.43/53.64 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( number_number_of(__eqx_0, __eqx_1) = number_number_of(__eqy_0, __eqy_1)) )).
% 53.43/53.64 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( power_power(__eqx_0, __eqx_1, __eqx_2) = power_power(__eqy_0, __eqy_1, __eqy_2)) )).
% 53.43/53.64 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~semiring_1(__eqx_0) | semiring_1(__eqy_0) )).
% 53.43/53.64 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~comm_semiring_1(__eqx_0) | comm_semiring_1(__eqy_0) )).
% 53.43/53.64 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~monoid_mult(__eqx_0) | monoid_mult(__eqy_0) )).
% 53.43/53.64 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~zprime(__eqx_0) | zprime(__eqy_0) )).
% 53.43/53.64 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~number(__eqx_0) | number(__eqy_0) )).
% 53.43/53.64 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~linorder(__eqx_0) | linorder(__eqy_0) )).
% 53.43/53.64 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~ord_less(__eqx_0, __eqx_1, __eqx_2) | ord_less(__eqy_0, __eqy_1, __eqy_2) )).
% 53.43/53.64 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~ord_less_eq(__eqx_0, __eqx_1, __eqx_2) | ord_less_eq(__eqy_0, __eqy_1, __eqy_2) )).
% 53.43/53.64 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~twoSqu33214720sum2sq(__eqx_0) | twoSqu33214720sum2sq(__eqy_0) )).
% 53.43/53.64 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~number_semiring(__eqx_0) | number_semiring(__eqy_0) )).
% 53.43/53.64 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~number_ring(__eqx_0) | number_ring(__eqy_0) )).
% 53.43/53.64 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~linordered_idom(__eqx_0) | linordered_idom(__eqy_0) )).
% 53.43/53.64 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~ring_char_0(__eqx_0) | ring_char_0(__eqy_0) )).
% 53.43/53.64 cnf(matrix-25, plain, ( ~semiring_1(_u0) | ( ti(_u0, one_one(_u0)) = one_one(_u0)) )).
% 53.43/53.64 cnf(matrix-26, plain, ( ~comm_semiring_1(_u1) | ( plus_plus(_u1, ti(_u1, _u3), _u2) = plus_plus(_u1, _u3, _u2)) )).
% 53.43/53.64 cnf(matrix-27, plain, ( ~comm_semiring_1(_u4) | ( plus_plus(_u4, _u6, ti(_u4, _u5)) = plus_plus(_u4, _u6, _u5)) )).
% 53.43/53.64 cnf(matrix-28, plain, ( ~comm_semiring_1(_u7) | ( ti(_u7, plus_plus(_u7, _u9, _u8)) = plus_plus(_u7, _u9, _u8)) )).
% 53.43/53.64 cnf(matrix-29, plain, ( ~monoid_mult(_u10) | ( times_times(_u10, ti(_u10, _u12), _u11) = times_times(_u10, _u12, _u11)) )).
% 53.43/53.64 cnf(matrix-30, plain, ( ~monoid_mult(_u13) | ( times_times(_u13, _u15, ti(_u13, _u14)) = times_times(_u13, _u15, _u14)) )).
% 53.43/53.64 cnf(matrix-31, plain, ( ~monoid_mult(_u16) | ( ti(_u16, times_times(_u16, _u18, _u17)) = times_times(_u16, _u18, _u17)) )).
% 53.43/53.64 cnf(matrix-32, plain, ( ( ti(_u19, undefined(_u19)) = undefined(_u19)) )).
% 53.43/53.64 cnf(matrix-33, plain, ( ~zprime(ti(int, _u21)) | zprime(_u21) )).
% 53.43/53.64 cnf(matrix-34, plain, ( ~zprime(_u22) | zprime(ti(int, _u22)) )).
% 53.43/53.64 cnf(matrix-35, plain, ( ( bit0(ti(int, _u23)) = bit0(_u23)) )).
% 53.43/53.64 cnf(matrix-36, plain, ( ( ti(int, bit0(_u24)) = bit0(_u24)) )).
% 53.43/53.64 cnf(matrix-37, plain, ( ( bit1(ti(int, _u25)) = bit1(_u25)) )).
% 53.43/53.64 cnf(matrix-38, plain, ( ( ti(int, bit1(_u26)) = bit1(_u26)) )).
% 53.43/53.64 cnf(matrix-39, plain, ( ( ti(int, pls) = pls) )).
% 53.43/53.64 cnf(matrix-40, plain, ( ~number(_u27) | ( number_number_of(_u27, ti(int, _u28)) = number_number_of(_u27, _u28)) )).
% 53.43/53.64 cnf(matrix-41, plain, ( ~number(_u29) | ( ti(_u29, number_number_of(_u29, _u30)) = number_number_of(_u29, _u30)) )).
% 53.43/53.64 cnf(matrix-42, plain, ( ~number(_u31) | ~linorder(_u31) | ~ord_less(_u31, ti(_u31, _u33), _u32) | ord_less(_u31, _u33, _u32) )).
% 53.43/53.64 cnf(matrix-43, plain, ( ~number(_u31) | ~linorder(_u31) | ~ord_less(_u31, _u33, _u32) | ord_less(_u31, ti(_u31, _u33), _u32) )).
% 53.43/53.64 cnf(matrix-44, plain, ( ~number(_u34) | ~linorder(_u34) | ~ord_less(_u34, _u36, ti(_u34, _u35)) | ord_less(_u34, _u36, _u35) )).
% 53.43/53.64 cnf(matrix-45, plain, ( ~number(_u34) | ~linorder(_u34) | ~ord_less(_u34, _u36, _u35) | ord_less(_u34, _u36, ti(_u34, _u35)) )).
% 53.43/53.64 cnf(matrix-46, plain, ( ~number(_u37) | ~linorder(_u37) | ~ord_less_eq(_u37, ti(_u37, _u39), _u38) | ord_less_eq(_u37, _u39, _u38) )).
% 53.43/53.64 cnf(matrix-47, plain, ( ~number(_u37) | ~linorder(_u37) | ~ord_less_eq(_u37, _u39, _u38) | ord_less_eq(_u37, ti(_u37, _u39), _u38) )).
% 53.43/53.64 cnf(matrix-48, plain, ( ~number(_u40) | ~linorder(_u40) | ~ord_less_eq(_u40, _u42, ti(_u40, _u41)) | ord_less_eq(_u40, _u42, _u41) )).
% 53.43/53.64 cnf(matrix-49, plain, ( ~number(_u40) | ~linorder(_u40) | ~ord_less_eq(_u40, _u42, _u41) | ord_less_eq(_u40, _u42, ti(_u40, _u41)) )).
% 53.43/53.64 cnf(matrix-50, plain, ( ~monoid_mult(_u43) | ( power_power(_u43, ti(_u43, _u45), _u44) = power_power(_u43, _u45, _u44)) )).
% 53.43/53.64 cnf(matrix-51, plain, ( ~monoid_mult(_u46) | ( power_power(_u46, _u48, ti(nat, _u47)) = power_power(_u46, _u48, _u47)) )).
% 53.43/53.64 cnf(matrix-52, plain, ( ~monoid_mult(_u49) | ( ti(_u49, power_power(_u49, _u51, _u50)) = power_power(_u49, _u51, _u50)) )).
% 53.43/53.64 cnf(matrix-53, plain, ( ~twoSqu33214720sum2sq(ti(int, _u53)) | twoSqu33214720sum2sq(_u53) )).
% 53.43/53.64 cnf(matrix-54, plain, ( ~twoSqu33214720sum2sq(_u54) | twoSqu33214720sum2sq(ti(int, _u54)) )).
% 53.43/53.64 cnf(matrix-55, plain, ( ( ti(int, m) = m) )).
% 53.43/53.64 cnf(matrix-56, plain, ( ( ti(int, s) = s) )).
% 53.43/53.64 cnf(matrix-57, plain, ( ( ti(int, t) = t) )).
% 53.43/53.64 cnf(matrix-58, plain, ( ord_less_eq(int, one_one(int), t) )).
% 53.43/53.64 cnf(matrix-59, 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))) )).
% 53.43/53.64 cnf(matrix-60, 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))) )).
% 53.43/53.64 cnf(matrix-61, plain, ( ord_less(int, t, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int))) )).
% 53.43/53.64 cnf(matrix-62, plain, ( zprime(plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int))) )).
% 53.43/53.64 cnf(matrix-63, 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)) )).
% 53.43/53.64 cnf(matrix-64, plain, ( twoSqu33214720sum2sq(times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t)) )).
% 53.43/53.64 cnf(matrix-65, plain, ( ( power_power(int, plus_plus(int, _u60, _u59), number_number_of(nat, bit0(bit1(pls)))) = plus_plus(int, plus_plus(int, power_power(int, _u60, number_number_of(nat, bit0(bit1(pls)))), times_times(int, times_times(int, number_number_of(int, bit0(bit1(pls))), _u60), _u59)), power_power(int, _u59, number_number_of(nat, bit0(bit1(pls)))))) )).
% 53.43/53.64 cnf(matrix-66, plain, ( ( power_power(int, plus_plus(int, _u62, _u61), number_number_of(nat, bit1(bit1(pls)))) = plus_plus(int, plus_plus(int, plus_plus(int, power_power(int, _u62, number_number_of(nat, bit1(bit1(pls)))), times_times(int, times_times(int, number_number_of(int, bit1(bit1(pls))), power_power(int, _u62, number_number_of(nat, bit0(bit1(pls))))), _u61)), times_times(int, times_times(int, number_number_of(int, bit1(bit1(pls))), _u62), power_power(int, _u61, number_number_of(nat, bit0(bit1(pls)))))), power_power(int, _u61, number_number_of(nat, bit1(bit1(pls)))))) )).
% 53.43/53.64 cnf(matrix-67, plain, ( ~number_semiring(_u65) | ( power_power(_u65, plus_plus(_u65, _u64, _u63), number_number_of(nat, bit0(bit1(pls)))) = plus_plus(_u65, plus_plus(_u65, power_power(_u65, _u64, number_number_of(nat, bit0(bit1(pls)))), power_power(_u65, _u63, number_number_of(nat, bit0(bit1(pls))))), times_times(_u65, times_times(_u65, number_number_of(_u65, bit0(bit1(pls))), _u64), _u63))) )).
% 53.43/53.64 cnf(matrix-68, plain, ( ~monoid_mult(_u67) | ~number(_u67) | ( power_power(_u67, number_number_of(_u67, _u66), number_number_of(nat, bit0(bit1(pls)))) = times_times(_u67, number_number_of(_u67, _u66), number_number_of(_u67, _u66))) )).
% 53.43/53.64 cnf(matrix-69, plain, ( ( times_times(int, _u68, power_power(int, _u68, number_number_of(nat, bit0(bit1(pls))))) = power_power(int, _u68, number_number_of(nat, bit1(bit1(pls))))) )).
% 53.43/53.64 cnf(matrix-70, plain, ( ~semiring_1(_u69) | ( power_power(_u69, one_one(_u69), number_number_of(nat, bit0(bit1(pls)))) = one_one(_u69)) )).
% 53.43/53.64 cnf(matrix-71, plain, ( ~comm_semiring_1(_u71) | ( times_times(_u71, _u70, _u70) = power_power(_u71, _u70, number_number_of(nat, bit0(bit1(pls))))) )).
% 53.43/53.64 cnf(matrix-72, plain, ( ~monoid_mult(_u73) | ( power_power(_u73, _u72, number_number_of(nat, bit0(bit1(pls)))) = times_times(_u73, _u72, _u72)) )).
% 53.43/53.64 cnf(matrix-73, plain, ( ~comm_semiring_1(_u76) | ( power_power(_u76, _u75, times_times(nat, number_number_of(nat, bit0(bit1(pls))), _u74)) = times_times(_u76, power_power(_u76, _u75, _u74), power_power(_u76, _u75, _u74))) )).
% 53.43/53.64 cnf(matrix-74, plain, ( ~number_ring(_u78) | ( plus_plus(_u78, one_one(_u78), number_number_of(_u78, _u77)) = number_number_of(_u78, plus_plus(int, bit1(pls), _u77))) )).
% 53.43/53.64 cnf(matrix-75, plain, ( ~number_ring(_u80) | ( plus_plus(_u80, number_number_of(_u80, _u79), one_one(_u80)) = number_number_of(_u80, plus_plus(int, _u79, bit1(pls)))) )).
% 53.43/53.64 cnf(matrix-76, plain, ( ~number_ring(_u81) | ( plus_plus(_u81, one_one(_u81), one_one(_u81)) = number_number_of(_u81, bit0(bit1(pls)))) )).
% 53.43/53.64 cnf(matrix-77, 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)) )).
% 53.43/53.64 cnf(matrix-78, plain, ( ord_less_eq(int, _u83, _u83) )).
% 53.43/53.64 cnf(matrix-79, plain, ( ord_less_eq(int, _u85, _u84) | ord_less_eq(int, _u84, _u85) )).
% 53.43/53.64 cnf(matrix-80, plain, ( ~ord_less(int, _u90, _u88) | ord_less_eq(int, _u90, _u88) )).
% 53.43/53.64 cnf(matrix-81, plain, ( ~ord_less(int, _u90, _u88) | ( _u90 != _u88) )).
% 53.43/53.64 cnf(matrix-82, plain, ( ~ord_less_eq(int, _u91, _u89) | ( _u91 = _u89) | ord_less(int, _u91, _u89) )).
% 53.43/53.64 cnf(matrix-83, plain, ( ord_less(int, _u93, _u92) | ( _u93 = _u92) | ord_less(int, _u92, _u93) )).
% 53.43/53.64 cnf(matrix-84, plain, ( ~ord_less_eq(int, _u95, _u94) | ~ord_less_eq(int, _u94, _u96) | ord_less_eq(int, _u95, _u96) )).
% 53.43/53.64 cnf(matrix-85, plain, ( ~ord_less_eq(int, _u98, _u97) | ~ord_less_eq(int, _u97, _u98) | ( _u98 = _u97) )).
% 53.43/53.64 cnf(matrix-86, plain, ( ~comm_semiring_1(_u102) | ( power_power(_u102, power_power(_u102, _u101, _u100), _u99) = power_power(_u102, _u101, times_times(nat, _u100, _u99))) )).
% 53.43/53.64 cnf(matrix-87, plain, ( ~comm_semiring_1(_u104) | ( power_power(_u104, _u103, one_one(nat)) = ti(_u104, _u103)) )).
% 53.43/53.64 cnf(matrix-88, plain, ( ( power_power(int, power_power(int, _u107, _u106), _u105) = power_power(int, _u107, times_times(nat, _u106, _u105))) )).
% 53.43/53.64 cnf(matrix-89, plain, ( ~number(_u110) | ~linorder(_u110) | ~ord_less_eq(_u110, number_number_of(_u110, _u113), number_number_of(_u110, _u111)) | ~ord_less(_u110, number_number_of(_u110, _u111), number_number_of(_u110, _u113)) )).
% 53.43/53.64 cnf(matrix-90, plain, ( ~number(_u110) | ~linorder(_u110) | ord_less(_u110, number_number_of(_u110, _u112), number_number_of(_u110, _u114)) | ord_less_eq(_u110, number_number_of(_u110, _u114), number_number_of(_u110, _u112)) )).
% 53.43/53.64 cnf(matrix-91, plain, ( ~number_ring(_u117) | ~linordered_idom(_u117) | ~ord_less(_u117, number_number_of(_u117, _u120), number_number_of(_u117, _u118)) | ord_less(int, _u120, _u118) )).
% 53.43/53.64 cnf(matrix-92, plain, ( ~number_ring(_u117) | ~linordered_idom(_u117) | ~ord_less(int, _u121, _u119) | ord_less(_u117, number_number_of(_u117, _u121), number_number_of(_u117, _u119)) )).
% 53.43/53.64 cnf(matrix-93, plain, ( ~number_ring(_u124) | ~linordered_idom(_u124) | ~ord_less_eq(_u124, number_number_of(_u124, _u127), number_number_of(_u124, _u125)) | ord_less_eq(int, _u127, _u125) )).
% 53.43/53.64 cnf(matrix-94, plain, ( ~number_ring(_u124) | ~linordered_idom(_u124) | ~ord_less_eq(int, _u128, _u126) | ord_less_eq(_u124, number_number_of(_u124, _u128), number_number_of(_u124, _u126)) )).
% 53.43/53.64 cnf(matrix-95, plain, ( ~ord_less(int, _u130, _u129) | ~ord_less_eq(int, _u132, _u131) | ord_less(int, plus_plus(int, _u130, _u132), plus_plus(int, _u129, _u131)) )).
% 53.43/53.64 cnf(matrix-96, plain, ( ~comm_semiring_1(_u136) | ( times_times(_u136, power_power(_u136, _u135, _u134), power_power(_u136, _u135, _u133)) = power_power(_u136, _u135, plus_plus(nat, _u134, _u133))) )).
% 53.43/53.64 cnf(matrix-97, plain, ( ( power_power(int, _u139, plus_plus(nat, _u138, _u137)) = times_times(int, power_power(int, _u139, _u138), power_power(int, _u139, _u137))) )).
% 53.43/53.64 cnf(matrix-98, plain, ( ( times_times(nat, number_number_of(nat, bit0(bit1(pls))), _u140) = plus_plus(nat, _u140, _u140)) )).
% 53.43/53.64 cnf(matrix-99, plain, ( ( times_times(nat, _u141, number_number_of(nat, bit0(bit1(pls)))) = plus_plus(nat, _u141, _u141)) )).
% 53.43/53.64 cnf(matrix-100, plain, ( ( plus_plus(nat, one_one(nat), one_one(nat)) = number_number_of(nat, bit0(bit1(pls)))) )).
% 53.43/53.64 cnf(matrix-101, plain, ( ~ord_less(int, bit1(_u146), bit1(_u144)) | ord_less(int, _u146, _u144) )).
% 53.43/53.64 cnf(matrix-102, plain, ( ~ord_less(int, _u147, _u145) | ord_less(int, bit1(_u147), bit1(_u145)) )).
% 53.43/53.64 cnf(matrix-103, plain, ( ~ord_less(int, bit1(_u152), bit1(_u150)) | ord_less(int, _u152, _u150) )).
% 53.43/53.64 cnf(matrix-104, plain, ( ~ord_less(int, _u153, _u151) | ord_less(int, bit1(_u153), bit1(_u151)) )).
% 53.43/53.64 cnf(matrix-105, plain, ( ~ord_less_eq(int, bit1(_u158), bit1(_u156)) | ord_less_eq(int, _u158, _u156) )).
% 53.43/53.64 cnf(matrix-106, plain, ( ~ord_less_eq(int, _u159, _u157) | ord_less_eq(int, bit1(_u159), bit1(_u157)) )).
% 53.43/53.64 cnf(matrix-107, plain, ( ~ord_less_eq(int, bit1(_u164), bit1(_u162)) | ord_less_eq(int, _u164, _u162) )).
% 53.43/53.64 cnf(matrix-108, plain, ( ~ord_less_eq(int, _u165, _u163) | ord_less_eq(int, bit1(_u165), bit1(_u163)) )).
% 53.43/53.64 cnf(matrix-109, plain, ( ~ord_less(int, pls, pls) )).
% 53.43/53.64 cnf(matrix-110, plain, ( ~ord_less(int, bit0(_u170), bit0(_u168)) | ord_less(int, _u170, _u168) )).
% 53.43/53.64 cnf(matrix-111, plain, ( ~ord_less(int, _u171, _u169) | ord_less(int, bit0(_u171), bit0(_u169)) )).
% 53.43/53.64 cnf(matrix-112, plain, ( ~ord_less(int, bit0(_u176), bit0(_u174)) | ord_less(int, _u176, _u174) )).
% 53.43/53.64 cnf(matrix-113, plain, ( ~ord_less(int, _u177, _u175) | ord_less(int, bit0(_u177), bit0(_u175)) )).
% 53.43/53.64 cnf(matrix-114, plain, ( ord_less_eq(int, pls, pls) )).
% 53.43/53.64 cnf(matrix-115, plain, ( ~ord_less_eq(int, bit0(_u182), bit0(_u180)) | ord_less_eq(int, _u182, _u180) )).
% 53.43/53.64 cnf(matrix-116, plain, ( ~ord_less_eq(int, _u183, _u181) | ord_less_eq(int, bit0(_u183), bit0(_u181)) )).
% 53.43/53.64 cnf(matrix-117, plain, ( ~ord_less_eq(int, bit0(_u188), bit0(_u186)) | ord_less_eq(int, _u188, _u186) )).
% 53.43/53.64 cnf(matrix-118, plain, ( ~ord_less_eq(int, _u189, _u187) | ord_less_eq(int, bit0(_u189), bit0(_u187)) )).
% 53.43/53.64 cnf(matrix-119, plain, ( ~ord_less(int, number_number_of(int, _u194), number_number_of(int, _u192)) | ord_less(int, _u194, _u192) )).
% 53.43/53.64 cnf(matrix-120, plain, ( ~ord_less(int, _u195, _u193) | ord_less(int, number_number_of(int, _u195), number_number_of(int, _u193)) )).
% 53.43/53.64 cnf(matrix-121, plain, ( ~ord_less_eq(int, number_number_of(int, _u200), number_number_of(int, _u198)) | ord_less_eq(int, _u200, _u198) )).
% 53.43/53.64 cnf(matrix-122, plain, ( ~ord_less_eq(int, _u201, _u199) | ord_less_eq(int, number_number_of(int, _u201), number_number_of(int, _u199)) )).
% 53.43/53.64 cnf(matrix-123, plain, ( ~ord_less(int, _u203, _u202) | ord_less(int, plus_plus(int, _u203, _u204), plus_plus(int, _u202, _u204)) )).
% 53.43/53.64 cnf(matrix-124, plain, ( ~ord_less_eq(int, _u206, _u205) | ord_less_eq(int, plus_plus(int, _u207, _u206), plus_plus(int, _u207, _u205)) )).
% 53.43/53.64 cnf(matrix-125, plain, ( ~ord_less(int, _u210, pls) | ( plus_plus(nat, number_number_of(nat, _u210), number_number_of(nat, _u212)) = number_number_of(nat, _u212)) )).
% 53.43/53.64 cnf(matrix-126, plain, ( ord_less(int, _u211, pls) | ~ord_less(int, _u213, pls) | ( plus_plus(nat, number_number_of(nat, _u211), number_number_of(nat, _u213)) = number_number_of(nat, _u211)) )).
% 53.43/53.64 cnf(matrix-127, plain, ( ord_less(int, _u211, pls) | ord_less(int, _u213, pls) | ( plus_plus(nat, number_number_of(nat, _u211), number_number_of(nat, _u213)) = number_number_of(nat, plus_plus(int, _u211, _u213))) )).
% 53.43/53.64 cnf(matrix-128, plain, ( ( number_number_of(nat, bit1(pls)) = one_one(nat)) )).
% 53.43/53.64 cnf(matrix-129, plain, ( ( one_one(nat) = number_number_of(nat, bit1(pls))) )).
% 53.43/53.64 cnf(matrix-130, plain, ( ~ord_less_eq(int, bit1(_u215), pls) | ord_less(int, _u215, pls) )).
% 53.43/53.64 cnf(matrix-131, plain, ( ~ord_less(int, _u216, pls) | ord_less_eq(int, bit1(_u216), pls) )).
% 53.43/53.64 cnf(matrix-132, plain, ( ~ord_less(int, pls, bit1(_u218)) | ord_less_eq(int, pls, _u218) )).
% 53.43/53.64 cnf(matrix-133, plain, ( ~ord_less_eq(int, pls, _u219) | ord_less(int, pls, bit1(_u219)) )).
% 53.43/53.64 cnf(matrix-134, plain, ( ~ord_less_eq(int, bit1(_u224), bit0(_u222)) | ord_less(int, _u224, _u222) )).
% 53.43/53.64 cnf(matrix-135, plain, ( ~ord_less(int, _u225, _u223) | ord_less_eq(int, bit1(_u225), bit0(_u223)) )).
% 53.43/53.64 cnf(matrix-136, plain, ( ~ord_less_eq(int, bit1(_u230), bit0(_u228)) | ord_less(int, _u230, _u228) )).
% 53.43/53.64 cnf(matrix-137, plain, ( ~ord_less(int, _u231, _u229) | ord_less_eq(int, bit1(_u231), bit0(_u229)) )).
% 53.43/53.64 cnf(matrix-138, plain, ( ~ord_less(int, bit0(_u236), bit1(_u234)) | ord_less_eq(int, _u236, _u234) )).
% 53.43/53.64 cnf(matrix-139, plain, ( ~ord_less_eq(int, _u237, _u235) | ord_less(int, bit0(_u237), bit1(_u235)) )).
% 53.43/53.64 cnf(matrix-140, plain, ( ~ord_less(int, bit0(_u242), bit1(_u240)) | ord_less_eq(int, _u242, _u240) )).
% 53.43/53.64 cnf(matrix-141, plain, ( ~ord_less_eq(int, _u243, _u241) | ord_less(int, bit0(_u243), bit1(_u241)) )).
% 53.43/53.64 cnf(matrix-142, plain, ( ~ord_less(int, _u245, _u244) | ord_less_eq(int, plus_plus(int, _u245, one_one(int)), _u244) )).
% 53.43/53.64 cnf(matrix-143, plain, ( ~ord_less_eq(int, plus_plus(int, _u250, one_one(int)), _u248) | ord_less(int, _u250, _u248) )).
% 53.43/53.64 cnf(matrix-144, plain, ( ~ord_less(int, _u251, _u249) | ord_less_eq(int, plus_plus(int, _u251, one_one(int)), _u249) )).
% 53.43/53.64 cnf(matrix-145, plain, ( ~ord_less(int, _u256, plus_plus(int, _u254, one_one(int))) | ord_less_eq(int, _u256, _u254) )).
% 53.43/53.64 cnf(matrix-146, plain, ( ~ord_less_eq(int, _u257, _u255) | ord_less(int, _u257, plus_plus(int, _u255, one_one(int))) )).
% 53.43/53.64 cnf(matrix-147, plain, ( zprime(number_number_of(int, bit0(bit1(pls)))) )).
% 53.43/53.64 cnf(matrix-148, plain, ( ~twoSqu33214720sum2sq(_u258) | ~twoSqu33214720sum2sq(_u259) | twoSqu33214720sum2sq(times_times(int, _u258, _u259)) )).
% 53.43/53.64 cnf(matrix-149, plain, ( ~comm_semiring_1(_u264) | ( times_times(_u264, times_times(_u264, _u263, _u262), times_times(_u264, _u261, _u260)) = times_times(_u264, times_times(_u264, _u263, _u261), times_times(_u264, _u262, _u260))) )).
% 53.43/53.64 cnf(matrix-150, plain, ( ~comm_semiring_1(_u269) | ( times_times(_u269, times_times(_u269, _u268, _u267), times_times(_u269, _u266, _u265)) = times_times(_u269, _u266, times_times(_u269, times_times(_u269, _u268, _u267), _u265))) )).
% 53.43/53.64 cnf(matrix-151, plain, ( ~comm_semiring_1(_u274) | ( times_times(_u274, times_times(_u274, _u273, _u272), times_times(_u274, _u271, _u270)) = times_times(_u274, _u273, times_times(_u274, _u272, times_times(_u274, _u271, _u270)))) )).
% 53.43/53.64 cnf(matrix-152, plain, ( ~comm_semiring_1(_u278) | ( times_times(_u278, times_times(_u278, _u277, _u276), _u275) = times_times(_u278, times_times(_u278, _u277, _u275), _u276)) )).
% 53.43/53.64 cnf(matrix-153, plain, ( ~comm_semiring_1(_u282) | ( times_times(_u282, times_times(_u282, _u281, _u280), _u279) = times_times(_u282, _u281, times_times(_u282, _u280, _u279))) )).
% 53.43/53.64 cnf(matrix-154, plain, ( ~comm_semiring_1(_u286) | ( times_times(_u286, _u285, times_times(_u286, _u284, _u283)) = times_times(_u286, times_times(_u286, _u285, _u284), _u283)) )).
% 53.43/53.64 cnf(matrix-155, plain, ( ~comm_semiring_1(_u290) | ( times_times(_u290, _u289, times_times(_u290, _u288, _u287)) = times_times(_u290, _u288, times_times(_u290, _u289, _u287))) )).
% 53.43/53.64 cnf(matrix-156, plain, ( ~comm_semiring_1(_u293) | ( times_times(_u293, _u292, _u291) = times_times(_u293, _u291, _u292)) )).
% 53.43/53.64 cnf(matrix-157, plain, ( ~comm_semiring_1(_u298) | ( plus_plus(_u298, plus_plus(_u298, _u297, _u296), plus_plus(_u298, _u295, _u294)) = plus_plus(_u298, plus_plus(_u298, _u297, _u295), plus_plus(_u298, _u296, _u294))) )).
% 53.43/53.64 cnf(matrix-158, plain, ( ~comm_semiring_1(_u302) | ( plus_plus(_u302, plus_plus(_u302, _u301, _u300), _u299) = plus_plus(_u302, plus_plus(_u302, _u301, _u299), _u300)) )).
% 53.43/53.64 cnf(matrix-159, plain, ( ~comm_semiring_1(_u306) | ( plus_plus(_u306, plus_plus(_u306, _u305, _u304), _u303) = plus_plus(_u306, _u305, plus_plus(_u306, _u304, _u303))) )).
% 53.43/53.64 cnf(matrix-160, plain, ( ~comm_semiring_1(_u310) | ( plus_plus(_u310, _u309, plus_plus(_u310, _u308, _u307)) = plus_plus(_u310, plus_plus(_u310, _u309, _u308), _u307)) )).
% 53.43/53.64 cnf(matrix-161, plain, ( ~comm_semiring_1(_u314) | ( plus_plus(_u314, _u313, plus_plus(_u314, _u312, _u311)) = plus_plus(_u314, _u312, plus_plus(_u314, _u313, _u311))) )).
% 53.43/53.64 cnf(matrix-162, plain, ( ~comm_semiring_1(_u317) | ( plus_plus(_u317, _u316, _u315) = plus_plus(_u317, _u315, _u316)) )).
% 53.43/53.64 cnf(matrix-163, plain, ( ~number_ring(_u320) | ~ring_char_0(_u320) | ( number_number_of(_u320, _u323) != number_number_of(_u320, _u321)) | ( _u323 = _u321) )).
% 53.43/53.64 cnf(matrix-164, plain, ( ~number_ring(_u320) | ~ring_char_0(_u320) | ( _u324 != _u322) | ( number_number_of(_u320, _u324) = number_number_of(_u320, _u322)) )).
% 53.43/53.64 cnf(matrix-165, plain, ( ~number(_u327) | ( number_number_of(_u327, _u330) != ti(_u327, _u328)) | ( ti(_u327, _u328) = number_number_of(_u327, _u330)) )).
% 53.43/53.64 cnf(matrix-166, plain, ( ~number(_u327) | ( ti(_u327, _u329) != number_number_of(_u327, _u331)) | ( number_number_of(_u327, _u331) = ti(_u327, _u329)) )).
% 53.43/53.64 cnf(matrix-167, plain, ( ( bit1(_u336) != bit1(_u334)) | ( _u336 = _u334) )).
% 53.43/53.64 cnf(matrix-168, plain, ( ( _u337 != _u335) | ( bit1(_u337) = bit1(_u335)) )).
% 53.43/53.64 cnf(matrix-169, plain, ( ( bit0(_u342) != bit0(_u340)) | ( _u342 = _u340) )).
% 53.43/53.64 cnf(matrix-170, plain, ( ( _u343 != _u341) | ( bit0(_u343) = bit0(_u341)) )).
% 53.43/53.64 cnf(matrix-171, plain, ( ( times_times(int, times_times(int, _u346, _u345), _u344) = times_times(int, _u346, times_times(int, _u345, _u344))) )).
% 53.43/53.64 cnf(matrix-172, plain, ( ( times_times(int, _u348, _u347) = times_times(int, _u347, _u348)) )).
% 53.43/53.64 cnf(matrix-173, plain, ( ( number_number_of(int, _u349) = _u349) )).
% 53.43/53.64 cnf(matrix-174, plain, ( ( plus_plus(int, plus_plus(int, _u352, _u351), _u350) = plus_plus(int, _u352, plus_plus(int, _u351, _u350))) )).
% 53.43/53.64 cnf(matrix-175, plain, ( ( plus_plus(int, _u355, plus_plus(int, _u354, _u353)) = plus_plus(int, _u354, plus_plus(int, _u355, _u353))) )).
% 53.43/53.64 cnf(matrix-176, plain, ( ( plus_plus(int, _u357, _u356) = plus_plus(int, _u356, _u357)) )).
% 53.43/53.64 cnf(matrix-177, plain, ( ~ord_less(int, bit1(_u359), pls) | ord_less(int, _u359, pls) )).
% 53.43/53.64 cnf(matrix-178, plain, ( ~ord_less(int, _u360, pls) | ord_less(int, bit1(_u360), pls) )).
% 53.43/53.64 cnf(matrix-179, plain, ( ~ord_less(int, bit1(_u365), bit0(_u363)) | ord_less(int, _u365, _u363) )).
% 53.43/53.64 cnf(matrix-180, plain, ( ~ord_less(int, _u366, _u364) | ord_less(int, bit1(_u366), bit0(_u364)) )).
% 53.43/53.64 cnf(matrix-181, plain, ( ~ord_less(int, bit1(_u371), bit0(_u369)) | ord_less(int, _u371, _u369) )).
% 53.43/53.64 cnf(matrix-182, plain, ( ~ord_less(int, _u372, _u370) | ord_less(int, bit1(_u372), bit0(_u370)) )).
% 53.43/53.64 cnf(matrix-183, plain, ( ~ord_less(int, bit0(_u374), pls) | ord_less(int, _u374, pls) )).
% 53.43/53.64 cnf(matrix-184, plain, ( ~ord_less(int, _u375, pls) | ord_less(int, bit0(_u375), pls) )).
% 53.43/53.64 cnf(matrix-185, plain, ( ~ord_less(int, pls, bit0(_u377)) | ord_less(int, pls, _u377) )).
% 53.43/53.64 cnf(matrix-186, plain, ( ~ord_less(int, pls, _u378) | ord_less(int, pls, bit0(_u378)) )).
% 53.43/53.64 cnf(matrix-187, plain, ( ~ord_less_eq(int, pls, bit1(_u380)) | ord_less_eq(int, pls, _u380) )).
% 53.43/53.64 cnf(matrix-188, plain, ( ~ord_less_eq(int, pls, _u381) | ord_less_eq(int, pls, bit1(_u381)) )).
% 53.43/53.64 cnf(matrix-189, plain, ( ~ord_less_eq(int, bit0(_u386), bit1(_u384)) | ord_less_eq(int, _u386, _u384) )).
% 53.43/53.64 cnf(matrix-190, plain, ( ~ord_less_eq(int, _u387, _u385) | ord_less_eq(int, bit0(_u387), bit1(_u385)) )).
% 53.43/53.64 cnf(matrix-191, plain, ( ~ord_less_eq(int, bit0(_u392), bit1(_u390)) | ord_less_eq(int, _u392, _u390) )).
% 53.43/53.64 cnf(matrix-192, plain, ( ~ord_less_eq(int, _u393, _u391) | ord_less_eq(int, bit0(_u393), bit1(_u391)) )).
% 53.43/53.64 cnf(matrix-193, plain, ( linordered_idom(int) )).
% 53.43/53.64 cnf(matrix-194, plain, ( comm_semiring_1(int) )).
% 53.43/53.64 cnf(matrix-195, plain, ( number_semiring(int) )).
% 53.43/53.64 cnf(matrix-196, plain, ( linorder(int) )).
% 53.43/53.64 cnf(matrix-197, plain, ( monoid_mult(int) )).
% 53.43/53.64 cnf(matrix-198, plain, ( semiring_1(int) )).
% 53.43/53.64 cnf(matrix-199, plain, ( ring_char_0(int) )).
% 53.43/53.64 cnf(matrix-200, plain, ( number_ring(int) )).
% 53.43/53.64 cnf(matrix-201, plain, ( number(int) )).
% 53.43/53.64 cnf(matrix-202, plain, ( comm_semiring_1(nat) )).
% 53.43/53.64 cnf(matrix-203, plain, ( number_semiring(nat) )).
% 53.43/53.64 cnf(matrix-204, plain, ( linorder(nat) )).
% 53.43/53.64 cnf(matrix-205, plain, ( monoid_mult(nat) )).
% 53.43/53.64 cnf(matrix-206, plain, ( semiring_1(nat) )).
% 53.43/53.64 cnf(matrix-207, plain, ( number(nat) )).
% 53.43/53.64 cnf(matrix-208, plain, ( ( ti(_u395, ti(_u395, _u394)) = ti(_u395, _u394)) )).
% 53.43/53.64 cnf(matrix-209, plain, ( ( plus_plus(int, power_power(int, _u397, number_number_of(nat, bit0(bit1(pls)))), power_power(int, _u396, 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))) )).
% 53.43/53.64
% 53.43/53.64 % Proof stack:
% 53.43/53.64 cnf(proof-stack, plain,
% 53.43/53.64 proof_stack(
% 53.43/53.64 start(209),
% 53.43/53.64 left_branch(0, 60, 1, 2),
% 53.43/53.64 left_branch(0, 83, 2, 3),
% 53.43/53.64 left_branch(0, 95, 0, 4),
% 53.43/53.64 left_branch(0, 81, 0, 5),
% 53.43/53.64 left_branch(0, 176, 0, 6),
% 53.43/53.64 right_branch(6),
% 53.43/53.64 right_branch(5),
% 53.43/53.64 left_branch(0, 58, 0, 6),
% 53.43/53.64 right_branch(6),
% 53.43/53.64 right_branch(4),
% 53.43/53.64 left_branch(0, 59, 0, 5),
% 53.43/53.64 left_branch(0, 209, 0, 6),
% 53.43/53.64 right_branch(6),
% 53.43/53.64 right_branch(5),
% 53.43/53.64 right_branch(3),
% 53.43/53.64 right_branch(2)
% 53.43/53.64 )).
% 53.43/53.64 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------